SlideShare a Scribd company logo
1 of 57
Download to read offline
Falsafah Pendidikan Kebangsaan

Pendidikan di Malaysia adalah suatu usaha berterusan ke arah
memperkembangkan lagi potensi individu secara menyeluruh
dan bersepadu untuk mewujudkan insan yang seimbang dan
harmonis dari segi intelek, rohani, emosi, dan jasmani
berdasarkan kepercayaan dan kepatuhan kepada Tuhan. Usaha
ini adalah bagi melahirkan rakyat Malaysia yang berilmu
pengetahuan,       berketrampilan,     berakhlak       mulia,
bertanggungjawab, dan berkeupayaan mencapai kesejahteraan
diri serta memberi sumbangan terhadap keharmonian dan
kemakmuran keluarga, masyarakat, dan negara.




                     Falsafah Pendidikan Guru

Guru yang berpekerti mulia, berpandangan progresif dan
saintifik, bersedia menjunjung aspirasi negara serta menyanjung
warisan kebudayaan negara, menjamin perkembangan individu,
dan memelihara suatu masyarakat yang bersatu padu,
demokratik, progresif, dan berdisiplin.




                            Cetakan Jun 2010
                       Kementerian Pelajaran Malaysia

        Hak cipta terpelihara. Kecuali untuk tujuan pendidikan yang tidak
        ada     kepentingan    komersial,   tidak   dibenarkan   sesiapa
        mengeluarkan atau mengulang mana-mana bahagian artikel,
        ilustrasi dan kandungan buku ini dalam apa-apa juga bentuk dan
        dengan apa-apa cara pun, sama ada secara elektronik, fotokopi,
        mekanik, rakaman atau cara lain sebelum mendapat izin bertulis
        daripada Rektor Institut Pendidikan Guru, Kementerian Pelajaran
        Malaysia.




                                       iii
MODUL INI DIEDARKAN UNTUK KEGUNAAN PELAJAR-PELAJAR
 YANG BERDAFTAR DENGAN BAHAGIAN PENDIDIKAN GURU,
 KEMENTERIAN PELAJARAN MALAYSIA BAGI MENGIKUTI PROGRAM
 PENSISWAZAHAN GURU SEKOLAH RENDAH (PGSR) IJAZAH
 SARJANA MUDA PERGURUAN.

 MODUL INI HANYA DIGUNAKAN SEBAGAI BAHAN PENGAJARAN DAN
 PEMBELAJARAN BAGI PROGRAM-PROGRAM TERSEBUT.




Cetakan Jun 2010
Institut Pendidikan Guru
Kementerian Pelajaran Malaysia




                                 ii
CONTENTS                               PAGE




Falsafah Pendidikan Kebangsaan
                                                        iii
Falsafah Pendidikan Guru

Kata-Alu-aluan Rektor                                   iv

Learner’s Guide                                         vi

Introduction                                           viii

Distribution of Topics (Interaction and Module)

Learning Topic: Topic 3 - Technology in Mathematics     1

          Synopsis                                     1

          Learning outcomes                            1

          Topic Framework                              2

Unit 1: Hardware

      1.0 Synopsis                                      3

      1.1 Learning outcomes                             3

      1.2 Unit Framework                                4

      1.3 Introduction                                  4

      1.4 Hardware                                      5

           1.4.1 Input devices                          7

           1.4.2 Output devices                        10

           1.4.3 Storage devices                       12

      1.5 Other Useful Hardware

           1.5.1 Interactive whiteboard                13

           1.5.2 Visualiser                            14

           1.5.3 Graphing calculator                   16
Unit 2: Software

      2.0 Synopsis                                 17

      2.1 Learning outcomes                        17

      2.2 Unit Framework                           18

      2.3 Introduction                             18

      2.4 Teaching Packages                        20

           2.4.1 Types of instructional software   21

      2.5 Teaching Software                        23

           2.5.1 Microsoft Office software         23

           2.5.2 Geometer’s Sketchpad              26

           2.5.3 Other mathematics software        27

Unit 3: Internet and Online Instructions

      3.0 Synopsis                                 30

      3.1 Learning outcomes                        30

      3.2 Unit Framework                           31

      3.3 Introduction                             31

      3.4 Internet Search Engines                  33

      3.5 Online Instructions                      35

           3.5.1 E-mail                            36

           3.5.2 Video conferencing                37

           3.5.3 Internet forums                   38

           3.5.4 Online learning                   39

Bibliography                                       45

Panel of Module Writers                            46

Panel of Module Reviewers                          47

Module Icons                                       48




                                   ii
PANDUAN PELAJAR


Modul ini disediakan untuk membantu anda menguruskan pembelajaran anda agar
anda boleh belajar dengan lebih berkesan. Anda mungkin kembali semula untuk
belajar secara formal selepas beberapa tahun meninggalkannya. Anda juga mungkin
tidak biasa dengan mod pembelajaran arah kendiri ini. Modul ini memberi peluang
kepada anda untuk menguruskan corak pembelajaran, sumber-sumber
pembelajaran, dan masa anda.

Pembelajaran arah kendiri memerlukan anda membuat keputusan tentang
pembelajaran anda. Anda perlu memahami corak dan gaya pembelajaran anda.
Adalah lebih berkesan jika anda menentukan sasaran pembelajaran kendiri dan aras
pencapaian anda. Dengan cara begini anda akan dapat melalui kursus ini dengan
mudah. Memohon bantuan apabila diperlukan hendaklah dipertimbangkan sebagai
peluang baru untuk pembelajaran dan ia bukannya tanda kelemahan diri.

Modul ini ditulis dalam susunan tajuk. Jangka masa untuk melalui sesuatu tajuk
bergantung kepada gaya pembelajaran dan sasaran pembelajaran kendiri anda.
Latihan-latihan disediakan dalam setiap tajuk untuk membantu anda mengingat
semula apa yang anda telah pelajari atau membuatkan anda memikirkan tentang
apa yang anda telah baca. Ada di antara latihan ini mempunyai cadangan jawapan.
Bagi latihan-latihan yang tiada mempunyai cadangan jawapan adalah lebih
membantu jika anda berbincang dengan orang lain seperti rakan anda atau
menyediakan sesuatu nota untuk dibincangkan semasa sesi tutorial.

Modul ini akan menggantikan satu kredit bersamaan dengan lima belas jam interaksi
bersemuka dalam bilik kuliah. Tiada kuliah atau tutorial diadakan untuk tajuk-tajuk
dalam modul ini. Walau bagaimanapun, anda boleh berbincang dengan pensyarah,
tutor atau rakan anda melalui email jika terdapat masalah berhubung dengan modul
ini.

Anda akan mendapati bahawa ikon digunakan untuk menarik perhatian anda agar
pada sekali imbas anda akan tahu apa yang harus dibuat. Lampiran A menerangkan
kepada anda makna-makna ikon tersebut.

Anda juga diperlukan untuk menduduki peperiksaan bertulis pada akhir kursus.
Tarikh dan masa peperiksaan akan diberitahu apabila anda mendaftar. Peperiksaan
bertulis ini akan dilaksanakan di tempat yang akan dikenal pasti.


Tip untuk membantu anda melalui kursus ini.

   1. Cari sudut pembelajaran yang sunyi agar anda boleh meletakkan buku dan
      diri anda untuk belajar. Buat perkara yang sama apabila anda pergi ke
      perpustakaan.

   2. Peruntukkan satu masa setiap hari untuk memulakan dan mengakhiri
      pembelajaran anda. Patuhi waktu yang diperuntukkan itu. Setelah membaca
      modul ini teruskan membaca buku-buku dan bahan-bahan rujukan lain yang
      dicadangkan.



                                        vi
3. Luangkan sebanyak masa yang mungkin untuk tugasan tanpa mengira
   sasaran pembelajaran anda.

4. Semak dan ulangkaji pembacaan anda. Ambil masa untuk memahami
   pembacaan anda.

5. Rujuk sumber-sumber lain daripada apa yang telah diberikan kepada anda.
   Teliti maklumat yang diterima.

6. Mulakan dengan sistem fail agar anda tahu di mana anda menyimpan bahan-
   bahan yang bermakna.

7. Cari kawan yang boleh membantu pembelanjaran anda.




                                  vii
INTRODUCTION

       The   MTE3106       Course (Resources in Mathematics) provides an
opportunity for students to explore the applications of various resources in
teaching and learning Mathematics (refer to Allocation of Topics). In this course,
you will be introduced to printed materials, manipulative teaching and learning
aids, technology in Mathematics, Mathematics facilities and management of
resources. This module focuses on Topic 3 of the Course Proforma which covers
aspects of Technology in Mathematics. The module is divided into three sub-
topics or units, that is, Unit 1 – Hardware, Unit 2 – Software, and Unit 3 – Internet
and Online Instructions.
       In this module you will learn about some hardware in technology that are
useful for teaching and learning mathematics. In addition, you will learn about
suitable teaching software packages and courseware that can help learning of
mathematics. Finally, you will learn about the use of the Internet and online
technology to facilitate mathematics teaching and learning
       This module provides information as well as activities that require you do
exercises, make notes, think about ideas or search information to facilitate the
learning of the contents specified. For each sub-topic or unit, you are required to
go through the information provided and do the activities suggested, and answer
any questions given. Outcomes of the activities carried out must be filed up in
your folio. If you have doubts about answers to questions, solutions to tasks or
have any queries, note them down and clarify them with your lecturers via e-mail,
OLL or during your face-to-face interactions. You are expected to plan and work
independently, to pace and direct your own learning effectively, and most of all,
go through this module thoroughly to optimise your learning. To consolidate your
learning, you are advised to refer to resources available in your school such as
software packages (e.g. ETeMS courseware) and software in your computer
laboratories. You are also advised to use other readings and references from
books or from the Internet. For this course, it is imperative that you have access
to the Internet to help you understand and master the contents in this module.


                                         viii
ALLOCATION OF TOPICS

The contents of this module will cover learning material equivalent to one credit of
15 hours face-to-face interaction. The table below describes the allocation of
topics for both face-to-face interaction and module for this course.


(Allocation of Topics for Face-to-face Interaction and Learning through Module in
accordance to the Course Pro forma)


Course Title       Resources in Mathematics
                   (Resos dalam Matematik)
Course Code        MTE3106
Credit             3(3+0)
Contact            45 hours
Hours
Language Of        English
Delivery
Prerequisite To    Nil
Entry
Semester           Four (PGSR)
Learning           1. Choose appropriate and relevant mathematics resources
Outcomes
                   2. Demonstrate their understanding in using the resources
                   3. Produce creative manipulative materials to support teaching and
                      learning in mathematics
                   4. Display effective management skills in planning and handling
                      mathematics resources

Synopsis           This course provides an opportunity for students to explore the
                   applications of various resources in teaching and learning
                   Mathematics. Students will be introduced to printed materials, teaching
                   and learning aids, technology in Mathematics, Mathematics facilities
                   and management of resources.

                   Kursus ini memberi peluang kepada pelajar untuk menerokai aplikasi
                   pelbagai resos dalam pengajaran dan pembelajaran matematik.
                   Pelajar akan diperkenalkan dengan bahan bercetak, alat bantu
                   pengajaran dan pembelajaran, teknologi dalam Matematik,
                   kemudahan-kemudahan Matematik dan pengurusan resos.
Topic                   Content                    Face-to-   Module     Total
                                                     face     (Hours)   (Hours)
                                                   (Hours)
 1      Printed materials
            Books
               o text, reference
               o Literature books
                                                      6                   6
                   Integrating literature in
                      teaching and learning
                      Mathematics
            Journals and articles
 2      Teaching and learning aids
              o Manipulative kits: geoboard,
                 Dienes blocks, Cuisenaire rods,
                 Base ten blocks
              o Nets and solids                                           12
                                                     12
              o Measuring       instrument     :
                 weighing scale
              o Computing tools: calculators,
                 abacus, rods & sticks
 3      Technology in Mathematics
            Hardware
             o Computers, LCD
            Software packages
                                                                15        15
             o Teaching packages
             o Teaching software and
                 courseware
            Internet and online instructions
 4      Mathematics Facilities
            Mathematics Laboratory
                                                      6                   6
            Mathematics garden
            Mathematics corners

 5      Management of resources
           Inventory and records
                                                      6                   6
           Monitoring and maintenance
           Planning and budgeting
                          Total                      30         15        45
TOPIC 3          TECHNOLOGY IN MATHEMATICS




   SYNOPSIS

    Apart from printed materials and hands-on manipulatives, computers
    and the associated technology of the Internet are also useful
    resources for mathematics teaching and learning. This module
    introduces you to current technological resources that can facilitate
    the teaching and learning of mathematics. These resources include
    the computer hardware, software packages, coursewares and the
    communicative and interactive technology of the Internet that affords
    online instructions.

   LEARNING OUTCOME

    At the end of this module, you are expected to be able to

    (1)   differentiate between hardware and software
    (2)   identify some applications of hardware and software for teaching
          and learning mathematics
    (3)   suggest some applications of the communication tools of Internet
          for learning
    (4)   search the internet for resources for teaching and learning
          mathematics

                                                                             1
    TOPIC FRAMEWORK



                                            TECHNOLOGY
                                          IN MATHEMATICS




                                                                                       INTERNET AND
              HARDWARE                          SOFTWARE                                  ONLINE
                                                                                       INSTRUCTIONS




     Input    Output    Storage     Other
    devices   devices   devices   hardware




                              Teaching                    Teaching
                              Packages                    Software




                            Types of      Microsoft       Geometer’s         Other
                          Instructional    Office         Sketchpad         software
                            Software




                                             History of the          Internet Search           Online
                                                Internet                 Engines            Instructions




                                                                      E-mail         Video         Internet    Online
                                                                                  conferencing      forum     learning




                                                                                                              2
UNIT 1        Hardware




1.0    Synopsis
               This unit covers aspects of the computer hardware, which is an
       integral component of new technology. The term `hardware’ will be
       explained and basic hardware components in a computer will also be
       introduced. This module also presents examples of the three main
       categories of hardware – input, output and storage devices. In
       addition, it also highlights some useful hardware that are helpful for
       teaching and learning mathematics.


1.1    Learning Outcomes
               At the end of this unit, you are expected to be able to
       (a)     explain the meaning of hardware
       (b)     name the basic components of a desktop computer
       (c)     give examples of input, output and storage devices
       (d)     suggest some uses of hardware devices for teaching and
               learning
       (e)     suggest some applications of the interactive whiteboard,
               visualiser and graphing calculator for teaching and learning
               mathematics

                                                                            3
1.2   Unit Framework



                                    HARDWARE




                      Input       Output         Storage         Other
                     devices      devices        devices       hardware




1.3   Introduction

            New technology in teaching and learning mathematics is grounded
      very much in the use of computer and its technology. Nowadays almost
      everyone has seen or used a computer for work or leisure. In fact, many of
      our everyday services like banking, purchasing books, paying bills,
      checking summons etc. can be done using the computers. In education,
      computers can facilitate teachers’ work, enhance students’ learning and
      help adminitrators in their work. For example, a teacher can use the
      computer to type her examination questions, a student can use the
      computer to learn about a particular topic, and the school principal can
      use the computer to organise students’ data. Thus, computers can make a
      teacher’s work better, a student’s learning more enriching, and a
      principal’s work more efficient. There are many applications of computer
      technology in teaching and learning of mathematics in schools. We will be
      looking into some of it in the next unit, but first let’s take a look at the
      hardware that makes up a computer system.




                                                                                4
1.4   Hardware

             The term computer hardware refers to the various external
      electronic components that are required for you to use a computer along
      with the hardware components inside the computer case. A desktop
      computer usually has the basic components made up of a system unit
      containing the central processing unit (CPU), a screen monitor, a
      keyboard, a mouse, speakers, and a microphone as shown in Figure 1.1.


                        (With CPU
                          inside)




                 Figure 1.1: Main components of a computer system

             Do you know the function for each of the components shown in
      Figure 1.1? Let’s find out.


                Activity 1.1

                Use your local library or the Internet, find out the function of
                these computer components: CPU unit, screen monitor,
                keyboard, mouse, speakers and microphone.
                File your answers in your folio.




                                                                                   5
The system unit is the main component that contains the processor
(CPU) which is like the brain of the computer. The CPU does all the work
for the computer. Specifically, it calculates the mathematics algorithms to
direct data flow and control the operations of the other parts of the
computer. Today all CPUs are microchip processors which can process
information and data at very high speed. Nowadays we have
microprocessors that are in excess of 3 GigaHertz! (3,000,000,000 GHz)
You may have heard of Pentium, Intel Dual Core, Phenom, Opteron and
others which are names of microprocessors developed by companies like
Intel and AMD. You can take a look at the chronology of microprocessors
development at this web site
http://en.wikipedia.org/wiki/Microprocessor_chronology
       Apart from the CPU, there are many other parts inside the casing of
the system unit that are put together to make the computer work well for a
user to type texts, listen to songs, store videos, or connect to the Internet.
Figure 1.2 shows a diagram of the main parts inside the system unit. You
can read more at the following website
http://www.howstuffworks.com/pc.htm




               Figure 1.2: Main parts of the system unit


                                                                            6
Computer hardware can be physically handled, that is, can be
assembled, substituted or removed from the computer by any person well-
versed with the parts. Apart from the internal components that are
assembled inside the CPU, the computer hardware also include
peripherals, that is, devices that are attached to a computer to expand its
capabilities. Generally, the computer hardware peripherals can be
categorised into three main components based on its function, namely:

     Input devices
     Output devices
     Storage devices

Figure 1.3 shows how these devices are related to the CPU in a computer.

                Information into the
                                          Input devices
                     computer



                    Information
                 processed by the            CPU
                     computer



               Information in a form        Output &
               you can use or store      Storage devices



         Figure 1.3: Relationship between input, processing
                     and output or storage devices.

1.4.1 Input devices

      Input devices are external devices, that is, outside the system unit
of the computer that send information and instructions to the computer to
perform some tasks. In other words, an input device lets you communicate
with a computer to do something. The computer keyboard is one example
of an input device. A keyboard is a typewriter-like device that allows the

                                                                         7
user to type in text and commands to the computer. Some keyboards
have special function keys or integrated pointing devices, such as a
trackball or touch-sensitive regions that let the user's finger motions move
an on-screen cursor, which is basically incorporating what we called a
mouse.
      The computer mouse is another input device which is used to point
and select items and commands on the screen. The mouse is a detection
device that enables the user to control the motion of an on-screen pointer,
or cursor, by moving the mouse on a flat surface. In doing so, the user can
perform various functions such as opening a program or file. The mouse
facilitates work by not requiring the user to memorise complicated
commands. Do you know that the mouse was invented way back in 1963
by a researcher from Stanford University in USA? Since then, many types
of computer mouse have been invented such as trackball mouse,
touchpad mouse, optical mouse, cordless mouse and more. Figure 1.4
shows the functions of the parts of a typical mouse. The mouse can input
information to the computer via a serial port, USB port, infrared or
Bluetooth technology. You can find out more on how a mouse work in this
web site
http://computer.howstuffworks.com/mouse2.htm




              Figure 1.4: Functions of the parts of a mouse

                                                                          8
There are many other input devices such as joystick, digital
camera, scanner, modem, Webcam, microphone, and voice recognition
device.


          Activity 1.2

          Access the internet and find out the function of each of this input
          device as shown in Table 1.1 below. Copy the table and file it in
          your folio when you are done.

               Table 1.1: Common Input Devices and Their Functions

               Input                          Function(s)
              device
            Joystick

            Digital
            camera
            Scanner

            Modem

            Webcam

            Microphone

             Voice
             recognition
             device



          Activity 1.3

          The digital camera can be put to good use for teaching and
          learning mathematics.
          Think of an activity to illustrate how a mathematics student can
          use the digital camera for learning or how a mathematics
          teacher can use the digital camera for teaching primary school
          mathematics.
          Record your ideas, file them in your folio and share them online
          in the OLL.


                                                                             9
1.4.2 Output devices

      Output devices are external devices that transfer information from
the computer’s CPU to the computer user. For example, the computer
screen monitor is a display unit to convert information generated by the
computer into visual information. A monitor relies on a video card that is
located inside the computer to process the computer data into image
details that the monitor can display. The older monitors use cathode ray
tube (CRT) similar to the TV screen for displays. Nowadays there are
high-resolution liquid crystal display (LCD) and plasma monitors that give
very sharp and clear images. Watching a movie or playing computer
games would be more enjoyable with these high-resolution computer
screens! Figure 1.5 shows the difference in thickness between a CRT and
an LCD monitor.




                A CRT monitor               An LCD monitor


      Figure 1.5: Comparison between a CRT and an LCD monitor


      Another common output device is the printer. A printer is a
peripheral which produces a copy of readable text and/or graphics of
documents. In other words, printers receive information from the computer
and print them out in text and/or image form, usually on paper or
transparencies. There are many types of printers – dot-matrix printers,


                                                                       10
laser printers and inkjet printers. Dot-matrix printers use tiny wires to
impact upon an inked ribbon to form characters. Laser printers employ
beams of light to draw images on a drum that then picks up fine black
particles called toner. The toner is fused to a page to produce an image.
Inkjet printers fire droplets of ink onto a page to form characters and
pictures. Whichever printer you use, it is good advice to use paper
sparingly to save our environment! The printer is a useful tool for teachers
who can use them to print out worksheets, quizzes, pictorial diagrams, or
photographs for their students to use. For example, a mathematics
teacher who has created a file with diagrams of fraction charts could print
out these diagrams for students to learn about fractions. Alternatively, if a
mathematics teacher has scanned an interesting picture or photographed
one using the digital camera, the images can be viewed directly in the
display monitor or printed out using an ordinary printer or photo printer as
shown in Figure 1.6.




     Figure 1.6: Relationship between input and output images


                                                                          11
If you are presenting a multimedia video about a topic of
mathematics to your students, it would not be engaging if there is no
sound. Can you imagine watching someone talk or sing but cannot hear a
single word he is saying or singing? It would not be effective in getting the
message across to the audience. This brings us to another useful output
device for teaching and learning mathematics, that is, the speakers.
Speakers take digital information from a computer file or from external
audio devices like CDs or DVDs and transform it into actual sounds that
we can hear. For example, if you have a recorded video clip of a teacher
teaching about decimals, the speakers converts the digital information in
the video clip into audio sounds which allow you to listen to the words said
by the teacher.


          Activity 1.4

          Speakers are useful devices in a mathematics classroom. As a
          mathematics teacher, can you think of two uses of the speakers
          in a mathematics class?
          Record your ideas and file them in your folio.




       Facsimiles or fax machines, photocopiers, plotters, projectors and
headphones are some other output devices. In fact, improved output
devices such as some multi-purpose printers can perform various
functions like printing, photocopying and scanning all in a single machine.
You can find out more about these devices in the Internet.


1.4.3 Storage devices
       Storage devices are designed to store digital information. Storage
devices provide permanent storage of information for retrieval by
computer until that information is deleted or changed. While computers
have internal storage equipment such as the Random Access Memory
(RAM), we will focus only on the external storage devices. These include
                                                                          12
the floppy discs, compact discs (CDs), digital video discs (DVDs), the USB
      Flash Drive, and the removable hard drives. Figure 1.7 shows some
      common storage devices.




                         Figure 1.7: Common storage devices


            These storage devices store information in bytes – a byte is a
      character, which is a letter, number or symbol. There are 256 standard
      characters used by almost all computers. A typical high-density floppy disc
      has 1.44 MB, which is equivalent to 1,000,000 bytes. Nowadays the floppy
      discs are of limited use with more devices with higher storage capacity
      being invented to store multimedia content. For example, a standard CD
      can hold up to 800 MB of data while a single-sided, double-layer DVD can
      store up to 8.5 GB of data, a USB Flash Drive can hold up to 200 GB, and
      a high-capacity external hard drive can store up to 500 GB of data!


1.5   Other Useful Hardware

      1.5.1 Interactive Whiteboard
            An integrated system that makes use of both input and output
      devices is the interactive whiteboard. The interactive whiteboard (input
      device) has a large interactive display that connects to a computer and a
      projector (output device) and typically mounted on a floor stand or to a
      wall. The projector beams the image of computer onto a whiteboard and
      by writing or touching the interactive whiteboard screen, messages are
      input back to the computer. Thus, the computer sends out information

                                                                              13
through the projector onto the whiteboard which then can capture new
information to be sent back to the computer to change the original
information. Figure 1.8 shows a simplified diagram on how the interactive
whiteboard works.



    Whiteboard:
                                                          Projector: send messages
    Every touch on
    the board is like                                     to the projector and
    a mouse-click                                         receives messages from
                                                          the whiteboard
    on a computer
    screen. The
    whiteboard
    sends messages
    back to the
    computer –
    changes occur
    and the image
    on the board
    changes in
    response




                                  Computer: send messages
                                  to the projector and
                                  receives messages from the
                                  whiteboard



 Figure 1.8: Simplified diagram on how the interactive whiteboard work


1.5.2 Visualiser

       In essence, a visualiser is a digital camera mounted on an arm that
can capture image of objects placed on a base and the image can then be
projected on a screen or an interactive whiteboard. Figure 1.9 shows
some examples of visualisers.     Visualisers are useful when a teacher
needs to show some objects or demonstrate some manipulation of objects
that can be projected to the whole class. With most visualisers, you can
zoom in and out, freeze and capture an image and then review the image
captured. Software that accompanies the visualiser allows for further
manipulation of the image or artefact such as time-lapse capture to track


                                                                                     14
changes over a period of time. Using the visualiser, teachers can display
real world examples or student work for evaluation by the class as well as
use the interactive whiteboard features, if connected to one, to highlight,
underline and write on documents that are displayed. Students in the back
of the room are able to see what the teacher is trying to show them. For
example, in learning about shapes a teacher can use a visualiser to show
how a cube is folded from a net and students can then follow the folding
process. In this way, the students can be more engaged and involved in
the learning process




                    Figure 1.9: Examples of visualisers




          Activity 1.5

          Visualisers can be used to show or demonstrate a number of
          things in a mathematics class.

          Think two uses of the visualiser in a mathematics class.
          Record your ideas, file them in your folio and share them in
          OLL.




                                                                         15
1.5.3 Graphing calculator

       A graphing calculator is a handheld calculator that is able to plot
graphs,   solve   simultaneous    equations    and   perform    complicated
mathematical operations. Newer versions have programming capability
where users can create customised programmes. These new models can
also display graphics in colour and permit 3D graphing. Figure 1.10 shows
a graphing calculator from Texas Instruments. Graphing calculator is an
especially useful tool for secondary or tertiary mathematics while its use in
primary mathematics may be limited. Nevertheless, some models are
installed with interactive geometry software like Cabri 3D which can be
used to teach about shapes in primary school mathematics.




            Figure 1.10: An example of a graphing calculator


          TAKE A BREAK !

          Take a short break before you continue with the next unit.

          A computer joke:

          Hardware, that part of a computer which can be kicked.
          If you can only swear at it, it is software!!




                                                                          16
UNIT 2           Software




2.0    Synopsis

               This unit covers aspects of the computer software, without
       which the computer hardware cannot function. The term `software’ will
       be explained. This module also distinguishes the various types of
       instructional software. Examples of teaching software using Microsoft
       Office programmes, Geometer’s Sketchpad and other mathematics
       software will be used to illustrate how they can be utilised in teaching
       and learning mathematics.


2.1    Learning Outcomes

               At the end of this unit, you are expected to be able to
       (a)     explain the meaning of software
       (b)     identify the types of instructional software
       (c)     give examples of using Microsoft Office programmes for
               teaching and learning mathematics
       (d)     suggest some ideas of using the Geometer’s Sketchpad and
               other    mathematics    software    for   teaching   and   learning
               mathematics


                                                                               17
2.2   Unit Framework


                                           SOFTWARE




                        Teaching                            Teaching
                        Packages                            Software




                  Types of Instructional        Microsoft   Geometer’s    Other
                        Software                 Office     Sketchpad    software



2.3   Introduction

            The computer cannot run with only the physical hardware
      assembled. It needs programmes or written instructions to tell the
      computer hardware what to do. These programmes are the computer
      software.   In other words, a computer software is a programme or a
      sequence of intructions written to perform a specific task for a computer.
      This software is written in the language of computer programming where
      logic of the instructions can be read and carried out by the microprocessor
      in the computer. Computer software allows information to be processed
      by the microprocessor that together acts as the brain of the computer,
      telling the computer hardware what to do and when and how to do it.
      Without the software, the hardware is just a piece of device without
      function. Computer software translates an action such as clicking a mouse
      into a language that the computer hardware can follow and perform a task,
      like saving information into a floppy disc. On the other hand, without the
      hardware all written instructions in a piece of software cannot be executed
      and performed. It is like having the thoughts but without the brain and
      body to carry the thoughts! In short, both hardware and software are
      complementary and interdependent to make a computer work.

                                                                                    18
Software are created by computer programmers and software
engineers. There are many types of computer software – mainly
categorised as system software or application software. System software
helps run the computer hardware and the computer system. The Windows
operating system is an example of a system software. Application
software is software designed to help users perform a particular task that
benefits them. For example, the Microsoft Word is an application software
that helps you type out your text, SPSS ia a statistical application software
that allows you to analyse data statistically, and Geometer’s Sketchpad is
an application software to help students learn about geometry. While
system software is important for computer to function, we will be focusing
on application software in this unit.



         Activity 2.1

         There are many application software that you have come across
         and used either in your work or leisure. List down an example of
         each in Table 2.1 below.
         Copy the table and file it up in your folio.

                     Table 2.1: Example of application software

                 Function                       Example
                Typing text        Microsoft Word

                Making
             Presentations
            Watching movies

               Browsing the
                 internet
              Sending an e-
                   mail
             Playing an audio
                    file
             Burn a CD/DVD



                                                                          19
2.4   Teaching packages

             A teaching package can be defined as consisting of one or more
      related programmes packaged together for an educational purpose. While
      the Microsoft Office suite packages a word processing programme, a
      presentation programme, a spreadsheet programme or an internet
      browsing programme which can be used to enhance instructional
      activities, this package of software may not always be used for teaching or
      instruction. We will see how this software package can be used for
      teaching later, but first let us look at some specific instructional or teaching
      package. Teaching package contains programme(s) that delivers all or
      part of a student’s instruction on a given topic or in some way assist the
      learning of the topic. Teaching package can be a courseware package
      that bundles together various lessons, tests, or other learning activities
      and materials.
             When our Ministry of Education (MOE) implemented the teaching of
      Mathematics and Science in English (ETeMS), interactive teaching
      packages were produced in collaboration with Telekom and Educational
      Technology Division of MOE to help teachers and students learn
      mathematics in that medium. These instructional packages are self-
      contained stand-alone multimedia learning resources where teachers can
      use them in the classroom or students can use them on their own. These
      instructional packages present interactive tutorials to explain or facilitate
      some important mathematical concepts or procedures. They also contain
      drill and practice interactions that students can practice their mathematical
      skills as well as revision questions that allow students to test their skills.
      Figure 2.1 shows some screen shots of the Year 1 Courseware covering
      the learning outcome of finding the difference between two numbers
      through one-to-one matching. In this activity, students can listen to audio
      explanations, see pictorial representations, and use the mouse to select
      options and click and drag pictures. Feedback to their actions is given in
      the form of audio and visual cues.

                                                                                   20
Figure 2.1: Screen shots of the MOE Year 1 Teaching-learning
                 Courseware for Mathematics



2.4.1 Types of instructional software
      There are a number of instructional software that can be
incorporated into teaching-learning package or courseware. Robbyler,
Edwards and Havriluk (1997) identified five main types of instructional
software:
     Drill ( or drill and practice software)
      Programmes that allow learners to work problems or answer
      questions and get feedback on correctness.
     Tutorial software
      Programmes that act like tutors by providing all the information and
      instructional activities that a learner needs to master a given topic
      (e.g., information summaries, explanation, practice routines,
      feedback, and assessment)



                                                                        21
   Simulation software
    Programmes that model real or imagine systems to show how
    those systems or similar ones work
   Instructional games
    Programmes designed to increase motivation by adding game rules
    to learning activities
   Problem solving software
    Programmes that (a) teach directly (through explanation and/or
    practice) the steps in solving problems, or (b) help learners acquire
    problem-solving skills by given them opportunities to solve
    problems.


       Activity 2.2

       Your school should have the teaching-learning coursware for
       ETeMS for mathematics. Pick a set of coursware for a particular
       year, for example, Year 2. Study the courseware carefully and
       try out some of the learning activities.

       State to what extent the different types of instructional software
       are incorporated in the package. Tick (√) or (x) for each type of
       software if it is present or not present in the courseware. For
       each software that is present describe how the activity is
       conducted int the courseware. Use Table 2.2 to help you
       organise your finding. Share your answers in the OLL and file
       them in your folio.

       Table 2.2: Types of software present in the Courseware

         Type of software        Present        Description of activity
       Drill and practice

       Tutorial

       Simulation

       Instructional game

       Problem solving



                                                                          22
2.5   Teaching software

            Various software are available that can be used to enhance the
      teaching and learning of mathematics in schools. Some of these software
      are not specific to mathematics but can be applied by teachers to facilitate
      teaching of mathematics, while others are designed specifically for
      learning mathematics. Let’s take a look at some of the software.


      2.5.1 Microsoft Office software
            The Microsoft Office package of programmes are interrelated
      desktop applications and services that can be used by mathematics
      teacher to enrich their teaching. An MS Office package may include the
      word processing software Microsoft Word, the presentation software
      Microsoft PowerPoint, the spreadsheet programme Microsoft Excel, and
      the publishing software Microsoft Publisher. The Table 2.3 shows the
      basic function of these programmes.


            Table 2.3: Microsoft Office software and function

               Type of software                   What it does
                                   Allows you to type up a document, such
              Microsoft Word®
                                   as a worksheet.
                                   Allows you to type in figures, use
              Microsoft Excel®
                                   formulas and create charts.
                                   Allows you to create presentations
              Microsoft
                                   composed of texts, graphics, movies and
              PowerPoint®
                                   other objects for teaching, etc.
              Microsoft            Allows you to create brochures, greeting
              Publisher®           cards, newsletters, etc.


            Microsoft Word itself is not designed specifically for teaching and
      learning of mathematics. However, it has some features in the application
      that can be used by mathematics teacher. For example, in the insert
      function there are 2D and 3D shapes which can be selected and drawn by
      teachers or students for learning purposes. Students can use drawn 2D
                                                                               23
shape such as squares and triangles and describe their properties and
then type them out using MS Word. The programme also has an Equation
Editor in the Insert Object function menu. This feature is very useful for
teachers to type out their questions involving mathematical symbols for
worksheets and test papers. Figure 2.2 shows a composite diagram on
how to select the Microsoft Equation in MS Word 2003.

                        1. Click Insert




                                          2. Click Object



                                               3. Select Microsoft
                                                    Equation 3.0



                                                            4. Click OK




      Figure 2.2: How to select the Microsoft Equation editor object


      Now let’s try out the Equation Editor.

         Activity 2.3

         Use the Microsoft Equation object to perform these tasks:

         (a) Type out three questions involving addition of fractions,
             subtraction involving mixed numbers, and multiplication
             involving whole numbers and fractions

         (b) Type out the solution in the standard written algorithm (long
             division form) for the following division problems
             (i)    344 ÷ 8
             (ii)   1055 ÷ 6



                                                                          24
Microsoft Excel spreadsheets, Microsoft PowerPoint presentations
and Microsoft Publisher brochures can all be designed for the context of
learning mathematics. It depends on the creative effort of teachers to
explore how these tools can be used for enhancing mathematics teaching
and    learning.   For   example      you   can    go    this        web     site
http://www.microsoft.com/Education/DisplayFractions.aspx        to    view    an
example of how a spreadsheet can be used to display fraction
computations. The following site at
http://presentationsoft.about.com/od/powerpointlessonplans/ig/PowerPoint
-Math-Lessons/Subtraction-Using-PowerPoint.htm          shows        a     simple
illustration on how a teacher can create a PowerPoint presentation to
teach subtraction involving missing addend problems. There are many
more ideas that you can get from the Internet. Let’s see how resourceful
you are in searching ideas for teaching mathematics using Microsoft
programmes.


          Activity 2.4

          Search the Internet for ideas on how to use the following
          Microsoft programmes to enhance your teaching of primary
          school mathematics.

          Take notes of the teaching ideas and file them up in your folio.
          Share your ideas with your coursemates during face-to-face
          interactions or in the OLL.

          1. Microsoft Word
          2. Microsoft Powerpoint
          3. Microsoft Excel     [Suggestion: see this site
                               http://www.fi.edu/qa98/me5/me5.html]
          4. Microsoft Publisher



      Other than Microsoft Office software, packages like Adobe
Illustrator and CorelDraw contain graphic tools that can help mathematics
teachers create diagrams for teaching purposes.

                                                                              25
2.5.2 Geometer’s Sketchpad
       Apart from non-mathematical software like Microsoft Office
programmes which can be utilised to facilitate mathematics teaching,
there are also software that are designed specifically for teaching and
learning mathematical concepts and skills. The Geometer’s Sketchpad is
an example. This software is a dynamic interactive programme that helps
students learn mathematical concepts in geometry, algebra and calculus
by visualisation and interaction. It has the capability of allowing students to
construct and explore geometrical shapes and properties in a dynamic
interactive environment. Consequently, students can use the Geometer’s
Sketchpad to build and investigate properties of mathematical models,
objects, figures, diagrams and graphs. Figure 2.3 shows a screen shot of
a Geometer’s Sketchpad activity that demonstrates the grouping concept
to lead students to the place value concept.




           Figure 2.3: Example of a Geometer’s Sketchpad activity

       You can get more teaching ideas from the Key Curriculum Press
website, which is the developer of Geometer’s Sketchpad, at this address
http://www.dynamicgeometry.com/General_Resources/Classroom_Activiti
es.html

                                                                            26
Activity 2.5

          Go to this web site
          http://jwilson.coe.uga.edu/emt669/Student.Folders/Lewis.Millard
          /unit/DayOne.html

          You can download a Geometer’s Sketchpad file that can show
          the multiplication of fractions. Of course to open this file you
          need to install the programme in your computer.




2.5.3 Other mathematics software
      There are a number of programmes available on the Internet that
are suitable for teaching and learning mathematics. Some of these
programmes are free while others require you to purchase them. Many of
these are drill and practice software which allow students to have (a)
control over the level or pace of the practice, and (b) appropriate feedback
for correct answers. For example, you can download a trial copy of a drill
and     practice     mathematics       quiz     in     this     web     site
http://www.qmsoftware.com.au/SpellingGames.htm         called    the   ABC
Spelling and Math Games. This software allows students to practice
mathematics questions at primary level with appropriate feedback; and
correct responses are tracked to indicate performance. In addition, a
teacher can design his/her own quizzes for specific learning outcome
involving the basic operations for numbers, fractions, decimals and
percentage. Figure 2.4 shows a screen shot of a sample mathematics quiz
involving addition of fractions. You should download the software and take
a look at the example.
      Although drill and practice software are good for rehearsal and
revision of mathematical skills involving basic operations, they lack the
capability to develop higher-order mathematical skills such as problem
solving. Hence, developers have created more complex and integrated
courseware that enables students to build problem solving skills. One

                                                                         27
example is the Adventures of Jasper Woodburry Series developed by
Vanderbilt University, USA. This series consists of 12 video-disc based
adventures that focus on mathematical problem finding and problem
solving. Each adventure provides multiple opportunities for problem
solving, reasoning, communication and making connections to other areas
such as science, social studies, literature and history. You can read more
about this interesting series from this address
http://peabody.vanderbilt.edu/projects/funded/jasper/intro/Jasperintro.html




          Figure 2.4: Example of a mathematics teaching software


          Activity 2.6

          Surf the Internet and look for one example each of the following
          type of software or courseware that can help you in teaching
          and learning mathematics for primary school.

          (a) Drill and practice software
          (b) Problem solving software

          For each software or courseware comment on the usefulness
          for your teaching in your school. File your comments in the folio
          and share them in the OLL.




                                                                         28
TAKE A BREAK !

Take a break before you continue with the next unit.
Here is a funny poem for you to relax your mind!


                          A Poem about Computers


                       A computer was something on TV
                      From a science fiction show of note.
                 A window was something you hated to clean...
                     And ram was the cousin of a goat.....

                       Meg was the name of my girlfriend
                        And gig was a job for the nights
                       Now they all mean different things
                          And that really mega bytes

                       An application was for employment
                           A program was a TV show
                            A cursor used profanity
                            A keyboard was a piano

                 Memory was something that you lost with age
                         A CD was a bank account
                       And if you had a 3 1/2" floppy
                        You hoped nobody found out

                Compress was something you did to the garbage
                       Not something you did to a file
                    And if you unzipped anything in public
                          You'd be in jail for a while

                      Log on was adding wood to the fire
                     Hard drive was a long trip on the road
                    A mouse pad was where a mouse lived
                   And a backup happened to your commode

                         Cut you did with a pocket knife
                             Paste you did with glue
                          A web was a spider's home
                             And a virus was the flu

                      I guess I'll stick to my pad and paper
                          And the memory in my head
                 I hear nobody's been killed in a computer crash
                 But when it happens they wish they were dead!


   (Source: Easy Desk Software at http://www.easydesksoftware.com/compoem.htm)




                                                                                 29
UNIT 3          Internet and Online Instructions




3.0    Synopsis
               This   unit    covers   development    of   the   Internet   and   its
       applications. Specifically, the function of search engines will be
       explained.     This    module    also   discusses    some    uses    of    the
       communication technology including e-mail, video conferencing, and
       Internet forum discussion. In addition, some aspects of online learning
       involving distance learning, e-learning and web-based learning will be
       discussed. Examples of mathematics resources site are also provided.


3.1    Learning Outcomes
               At the end of this unit, you are expected to be able to
       (a)     state briefly the history of the Internet
       (b)     use suitable search engine to search for resources
       (c)     identify some uses of communication technology for teaching
               and learning
       (d)     suggest some web-based resources for e-learning and web-
               based learning
       (e)     identify suitable professional sites as resources for teaching and
               learning mathematics


                                                                                  30
3.2   Unit Framework

                                     INTERNET AND
                                   ONLINE INTRUCTIONS




                  History of the      Internet Search               Online
                     Internet             Engines                Instructions




                                         E-mail            Video          Internet         Online
                                                        conferencing       forum          learning




3.3   Introduction – A Brief History of the Internet

             Nowadays almost everyone is familiar with the Internet. In fact,
      some people cannot go a day without using the Internet! Many students
      and teachers are using the internet for various purposes – connecting with
      friends, accessing information and news, viewing multimedia content and
      many more. While the Internet serves many purposes, it is the role of the
      Internet in facilitating learning both inside and outside the classroom that
      we are interested in. Before we look at how Internet facilitates teaching
      and learning of mathematics, do you know what the Internet is?
             Here is one summarised explanation from Wikipedia, an online
      encyclopedia. The Internet ia ”a global system of interconnected computer
      networks that use the standard Internet Protocol Suite (TCP/IP) to serve
      billions of users worldwide. It is a network of networks that consists of
      millions of private, public, academic, business, and government networks
      of local to global scope that are linked by a broad array of electronic and
      optical networking technologies. The Internet carries a vast array
      of information resources        and         services,        most         notably      the     inter-
      linked hypertext documents of the World Wide Web (WWW) and the
      infrastructure to support electronic mail” (Wikipedia, retrieved May 2010).

                                                                                                        31
To understand more about how the network of networks is
developed, let’s take a brief look at how the Internet began.



         Activity 3.1

         Access the internet through this URL
         http://www.davesite.com/webstation/net-history.shtml and you
         will see a timeline of the history of the Internet. Fill up Table 3.1
         below with the important events that shape the development of
         the Internet. Copy the table and file it in your folio.

                        Table 3.1: A brief history of the Internet

              Year                             Event(s)
              1962

              1968

              1972

              1973

              1974

              1976

              1983

              1988

              1990

              1992

              1996

              1999




                                                                             32
3.4   Internet Search Engines

             The Internet is a massive connection of networks with millions of
      addresses that provide various sources of data and information. To look
      up the relevant data or information requires search engines to “search the
      World-Wide Web” for related web pages, images, information and other
      types of files efficiently. Otherwise, it is quite impossible to look for what
      you need in a sea of information – it’s like looking for a pin in an ocean!
      Search engines are special sites on the Web that are designed to help
      internet users find relevant information stored on other sites. There are
      differences in the ways various search engines work, but they all perform
      three basic tasks:
            They search the Internet (i.e. the World Wide Web) -- or select
             pieces of the Internet -- based on important words.
            They keep an index of the words they find, and where they find
             them.
            They allow users to look for words or combinations of words
             found in that index.
      You can read more about how search engines work in this web site with
      the   address    http://computer.howstuffworks.com/internet/basics/search-
      engine.htm
             There are various search engines available to help students and
      teachers of mathematics to look for information and materials ranging from
      textual articles to multimedia videos. Mozilla Firefox, Google, Altavista,
      Yahoo! Search, Ask.com, Bing are some commonly used search engines.
      Some search engines are specialised to look up information on specific
      area. For example, YouTube is a search engine that help search for video
      files, Technorati specialises in looking up blogs (short for Web Logs), and
      Google Scholar search for academic materials. For a list of search
      engines go to this site http://en.wikipedia.org/wiki/List_of_search_engines




                                                                                 33
Let’s practice some Internet search and surfing!

   Activity 3.2

   Select a search engine of your choice and look up some
   websites that are relevant to primary school mathematics.
   Describe briefly how you can use the information from three
   websites to teach primary mathematics. File up your search and
   share your information in the OLL.

   Site 1: URL _________________________________________

   Description of use:




   Site 2: URL _________________________________________

   Description of use:




   Site 2: URL _________________________________________

   Description of use:




                                                               34
3.5   Online Instructions

              The Internet is becoming a useful mode of learning. Research has
      indicated that technology like the Internet plays a critical role in changing
      the classroom learning environments. Learning on the Internet or learning
      online has the potential to enrich the learning experience of many
      students. With its vast resources of information and capability to provide
      information at a click of a button, learners can have access to learning
      materials that are not confined to textbooks and libraries. And the ability to
      connect between users means the Internet can deliver instruction which is
      not limited by distance and time. There are many ways the technology
      provided by the Internet can change and enrich learning experiences. For
      example, a mathematics student from Malaysia can learn from another
      mathematics student in America at any time of the day through sharing
      ideas, comparing resources, and interacting with each other. Alternatively,
      a mathematics student can access suitable web sites that provide drill and
      practice exercises on a particular topic and learn at his own pace and
      time.


                Activity 3.3

                Think of some other ways that a mathematics student can learn
                using the Internet. Record your thoughts and share them online
                in the OLL.

                Learning mathematics via the Internet:




                                                                                 35
For mathematics teachers, the Internet is an abundant resource
provider that can help them make their teaching more constructive,
engaging and rewarding for their students. The challenge lies in locating,
accessing and integrating these materials meaningfully into their schools’
mathematics curricula and using the materials appropriately for teaching
and learning of mathematics. The Internet is also a way of making
connection between mathematics teachers around the world where they
can network and share experiences, teaching resources and ideas.
      How can students and teachers of mathematics connect,
communicate and collaborate using the Internet? Well, there are several
ways it can be done.


3.5.1 E-Mail
      Every day all over the world, netizens or citizens of the Internet
send out billions of email messages. The e-mail has become an
indispensable communication tool for many people. The e-mail message
is basically a simple text message sent to a recipient. Nowadays you can
send an e-mail message with attachments which can be image, video and
other digital files. To send and receive e-mails you need to have an e-mail
client. You can use stand-alone e-mail clients like Microsoft Outlook,
Outlook Express, Eudora, Pegasus or you can register for free e-mail
services like Yahoo, Hotmail or Google Mail.
      As a teacher, you can use the e-mail to send mathematics
assignment tasks, exercise questions, revision questions, information
about class schedules, video of recorded teaching and many other
learning materials to your students. In reply, the students can attach their
solutions, queries, and project papers for you to check and provide
feedback without having to use printed materials. Teachers can use the e-
mail to network with other mathematics teachers locally or globally in order
to share and learn from each other.



                                                                         36
3.5.2 Video Conferencing
       Video conferencing allows people from two or more locations to
communicate by seeing and hearing each other at the same time. They
can exchange visual information in the form of videos as well as audio
content. The simplest video conferencing is the point-to-point involving two
people where you need the following:
      A computer
      An Internet connection
      A telephone, if audio content is not provided online
      A PC with a microphone, a Webcam or digital video camera, and
       a video capture card
Video input from the camera and audio input from the microphone are
converted to digital data that can be sent through the Internet or a wireless
network. When the data reaches the participant of the conference, the
video and audio are viewed and heard on a computer, television screen or
mobile phone. Figure 3.1 shows a simplified diagram of how the video
conference works.




      Figure 3.1: A simple diagram of how video conferencing works

                                                                          37
Activity 3.4

          Video conferencing may help students learn mathematics when
          they are absent from the school for some reasons. Think about
          how a mathematics teacher can use video conferences to help
          the students learn what the teacher is teaching. File up your
          ideas and share them during your face-to-face interactions.




3.5.3 Internet Forums

      An internet forum or message board is an online discussion site
where users can post comments to discuss a wide range of topics. Many
distance learning programmes in universities incorporate this technology
as part of the learning mode for their students. The advantage of this
technology is the ability to allow groups of users to build online learning
communities where learning is communicated and collaborated. For
example, a mathematics teacher can set up an online discussion forum
where his/her students can post comments, answers and solutions about
a particular topic of mathematics. There are free software available where
you can set up a discussion forum for a group of students. bbPress,
phpBB, Vanilla, and Phorum are some free forum software. Apart from
these you can subscribe to professional sites to take part in forum
discussions. Figure 3.2 shows a screen capture of a forum discussion
about fractions at the Math Forum@Drexel web site.


          Activity 3.5

          Search the Internet for other discussion forum sites that are
          useful for mathematics teachers. Jot down the address and
          comments on the topics discussed. File up your search in your
          folio.




                                                                        38
Figure 3.2: Example of mathematics discussion forum

3.5.4 Online learning

       The Internet has been used to deliver learning and instruction in
recent years. A number of universities all over the world are embracing the
technology to conduct distance learning. A common feature of distance
learning programmes is that there is a separation of teacher and learner in
time or place, or in both time and place. This process of extending
learning opportunity away from the classrooms or lecture rooms means
effective ways are needed to deliver instructional materials and resources
to learners over a distance at various times. The advent of the Internet
with its communicative feature plus the capability to send digital
information quickly allows distance learning to be conducted via e-
learning.
       E-learning or electronic learning is any learning that uses the
Internet to deliver some form of instruction to a learner or learners
separated by time, distance or both (Reiser & Dempsey, 2002). Some
universities who provides e-learning do so by providing assistance to
learners through a Learning Management System (LMS). An LMS is a
software application that is used to organise and provide access to online
services for students and instructors. These services usually include


                                                                        39
access to course guides, notes, communication tools, as well as
discussion forum. For example, Open University of Malaysia provides
distance learning programmes via a blended mode of e-learning that
incorporates an LMS with online discussion, e-mail communication and
links to digital collection of resources.


          Activity 3.6

          There are many benefits of enrolling a course through e-
          learning. Surf the Internet and jot down some benefits. File up
          your answers in the folio.

          Benefits of e-learning:

          1.

          2.

          3.

          4.

          5.

          6.

          7.



       E-learning is not necessary only carried out by institutions of higher
learning. Organisations, professional institutions, commercial enterprises,
or individuals can design and deliver e-learning to any interested parties.
There are many web sites on the Internet that provide learning courses or
specific learning content given either free or charged a payment. This form
of learning where a learner can access a web site to learn
comprehensively about some topics is often called web-based learning.
Web-based learning materials may include content presentations,
tutorials, practice questions and solutions, quizzes, video demonstrations,

                                                                            40
educational games, virtual learning environments etc. and most of these
are often interactive. Figure 3.3 shows a mathematics resource site that
provides   web-based        learning   materials   with   links   to   interactive
mathematics tools and activities for students and teachers.




    Figure 3.3: A web site with interactive links for web-based learning

      A number of professional web sites are available online that provide
useful resource materials for mathematics teachers and students. One
such site is the NCTM Illuminations web site constructed by The National
Council of Teachers of Mathematics (NCTM) in USA. This web site
[URL:http://illuminations.nctm.org/] supports mathematics teachers with
helpful and informative resources and links that help teachers develop
professionally. In this site mathematics teachers can access mathematics
teaching and learning activities, lesson plans, mathematics tools as well
as links to other mathematics teaching and learning web sites. Both
primary and secondary mathematics resources are available in this web
site. Figure 3.4 shows the main web page of the NCTM Illuminations site.
Another useful mathematics resource site for teaching and learning
mathematics     for   all     levels    is   TheMathForum@Drexel           [URL:
http://mathforum.org/teachers/] where teachers can contribute, share and
learn from each other too.

                                                                               41
Figure 3.4: The NCTM Illuminations web site


      In conclusion, there is a wealth of mathematics resources in the
Internet that a resourceful teacher can utilised, especially in conjunction
with the current hardware and software available. Embrace technology to
enhance pedagogy!



         Activity 3.7

         Many more interesting and helpful web sites are available for
         mathematics teachers and students.

         Surf the net and identify
         (a) two web sites that are relevant to mathematics teachers to
             obtain teaching resources, and
         (b) two web sites that have interactive learning materials for
             primary school mathematics students.

         For each web site, do a screen capture of the page and provide
         a brief description on how it can be used by teachers or
         students. The results of this activity should be filed up in your
         folio and share your search results in the OLL or during your
         face-to-face interactions.




                                                                          42
Review Exercise

It is time to review what you have learned from this module.
Answer the following questions and file up your answers in your
folio.

1. State the meaning of hardware of a computer.

2. Name three major types of hardware.

3. Give three examples of input devices

4. Give three examples of output devices

5. Give three examples of storage devicee

6. State one feature of an interactive whiteboard

7. Give one advantage of using a visualiser in a mathematics
   class

8. What is the difference between a system software and an
   application software?

9. Name the five main types of instructional software

10. Give one application of using MS Word in a mathematics
    class.

11. State one benefit of using Geometer’s Sketchpad in a
    mathematics classroom.

12. What is the benefit of using a problem solving software?

13. Name two internet search engines.

14. Give one use of the e-mail in mathematics teaching.

15. Describe one way video conference can be used for
    mathematics teaching and learning.

16. Give one example of web-based learning.

17. Give an example of a professional website that has good
    mathematics resources.



                                                                  43
Food for Thought

 Technology is increasingly used in education with huge amount
 spent in developing the infostructure for ICT in schools. Yet,
 some people question whether the financial investment is worth
 the returns from ICT in Education

 Discuss this issue with your coursemates in the OLL.




               CONGRATULATIONS!

       You have succeeded in completing this module.


“Learning is not achieved by chance, it must be sought
   for with ardor and attended to with diligence.”
                   – Abigail Adams




                                                             44
BIBLIOGRAPHY

Burns, M. (1992). About Teaching Mathematics. Maths Solution.
Foresman, S. (2000). Interactive mathematics: Lessons and tools. NJ: Prentice
      Hall.
Haylock, D. (2003). Understanding mathematics in the lower primary years. UK:
      Paul Chapman Publication.
Jennings, S., & Dunne, R. (2003). I see maths books. vol 1-3. UK: Mashford
      Colour Press.
National Curriculum Council. (1991). Prime calculators: Children and
      mathematics. UK: Simon and Schuster.

Reiser, R.A., & Dempsey, J.A. (Eds.) (2002). Trends and issues in instructional
      design and technology. Upper Saddle River , New Jersey : Merrill/Prentice
      Hall.

Robbyler, M.D., Edwards, J., & Havriluk, M.A. (1997). Integrating educational
     technology into teaching. Upper Saddle River, New Jersey:
     Merrill/Prentice Hall.

Trautman, A. P., & Lichenberg, B. K. (2003). Mathematics: A good beginning . 6th
      ed. UK: Wadsworth/ Thompson Inc.

Internet websites:

http://www.davesite.com/webstation/net-history.shtml
http://mathforum.org/teachers/
http://illuminations.nctm.org/
http://en.wikipedia.org/wiki/List_of_search_engines
http://en.wikipedia.org/wiki/Internet
http://computer.howstuffworks.com/internet/basics/search-engine.htm
http://www.coolmath.com/
http://peabody.vanderbilt.edu/projects/funded/jasper/intro/Jasperintro.html
http://www.askdeb.com/blog/technology/what-is-computer-software/
http://www.rsc-
london.ac.uk/fileadmin/docs/curriculum/staff_dev/learning_journey/documents/ag
_smartboards.pdf
http://www.jisc.ac.uk/uploaded_documents/Interactivewhiteboards.pdf
http://www.innovationslearning.co.uk/subjects/maths/activities/year3/number_dea
ns/question.asp
http://www.rsc-
london.ac.uk/fileadmin/docs/curriculum/staff_dev/learning_journey/documents/ag
_smartboards.pdf



                                                                             45
PANEL OF MODULE WRITERS

             PROGRAM PENSISWAZAHAN GURU SEKOLAH RENDAH
                (MTE 3016 MATEMATIK PENDIDIKAN RENDAH)

               NAME                             QUALIFICATIONS


PANEL HEAD                         QUALIFICATIONS:

NAME: DR. LAM KAH KEI                 1. Doctorate (PhD)
                                          (Mathematics Education)
POSITION: SENIOR MATHEMATICS          2. Master of Education
          LECTURER                       (Curriculum & Instruction)
                                      3. B.Sc.Ed (Hons.)
E-MAIL: vlam@tm.net.my                    (Biology, Mathematics)

                                   WORK EXPERIENCE:

                                      1. Mathematics Lecturer: 1991 – 2008
                                      2. Seniour Mathematics Lecturer: 2008 –
                                         now


PANEL MEMBER                       QUALIFICATIONS:
                                      1. B.Sc.Ed.Physics, Mathematics
NAME: JOHARI B. BAPOKUTTY

POSITION: MATHEMATICS LECTURER     WORK EXPERIENCE:

E-MAIL: jbmptaakl@Hotmail.com         1. Mathematics Lecturer: 1995 – 1998
                                      2. Examination Secretary: 1999 – 2008
                                      3. Mathematics Lecturer/Unit Head: 2009 -
                                         now


PANEL MEMBER                       QUALIFICATIONS:

NAME: JOHNSON A/L SAVARIMUTHU         1. M.Ed
                                         (Mathematics)
POSITION: MATHEMATICS LECTURER        2. B.Ed
                                         (Mathematics)
E-MAIL:
johnsavarimuthu_1968@yahoo.com     WORK EXPERIENCE:

                                      1. Mathematics Lecturer: 2008 - now
                                      2. School mathematics teacher: 1993 –
                                         2007




                                                                                46
PANEL OF MODULE REVIEWERS

             PROGRAM PENSISWAZAHAN GURU SEKOLAH RENDAH
                (MTE 3106 MATEMATIK PENDIDIKAN RENDAH)

               NAMA                                 KELAYAKAN


PANEL HEAD                          QUALIFICATIONS:

NAME: DR. LAM KAH KEI                  1. Doctorate (PhD)
                                           (Mathematics Education)
POSITION: SENIOR MATHEMATICS           2. Master of Education
          LECTURER                        (Curriculum & Instruction)
                                       3. B.Sc.Ed (Hons.)
E-MAIL: vlam@tm.net.my                     (Biology, Mathematics)

                                    WORK EXPERIENCE:

                                       1. Mathematics Lecturer: 1991 – 2008
                                       2. Seniour Mathematics Lecturer: 2008 –
                                          now


PANEL MEMBER                        QUALIFICATIONS:
                                       1. B.Sc.Ed.Physics, Mathematics
NAME: JOHARI B. BAPOKUTTY

POSITION: MATHEMATICS LECTURER      WORK EXPERIENCE:

E-MAIL: jbmptaakl@Hotmail.com          1. Mathematics Lecturer: 1995 – 1998
                                       2. Examination Secretary: 1999 – 2008
                                       3. Mathematics Lecturer/Unit Head: 2009 -
                                          now


(NAMA)                              (KELULUSAN)

(JAWATAN)                           PHD/SARJANA/SARJANA
                                    MUDA/DIPLOMA/SIJIL
(EMEL)

                                    (PENGALAMAN KERJA)




                                                                                 47
ICONS

        Break


        Discussion


        Reading material


        Reference book


        Exercise


        Make notes


        Checklist


        Surf Internet


        User Guide


        Gather Information


        Tutorial


        Think


        End




                             48

More Related Content

What's hot

Romano, G. (2019) Dancing Trainer: A System For Humans To Learn Dancing Using...
Romano, G. (2019) Dancing Trainer: A System For Humans To Learn Dancing Using...Romano, G. (2019) Dancing Trainer: A System For Humans To Learn Dancing Using...
Romano, G. (2019) Dancing Trainer: A System For Humans To Learn Dancing Using...Hendrik Drachsler
 
Organizational Chart And Action Plan
Organizational Chart And Action PlanOrganizational Chart And Action Plan
Organizational Chart And Action Plankmrisica
 
Week 4 plan
Week 4 planWeek 4 plan
Week 4 planakbrown1
 
Modulo material design_for_virtual_environments_observ
Modulo material design_for_virtual_environments_observModulo material design_for_virtual_environments_observ
Modulo material design_for_virtual_environments_observlin Nov
 
Facilitator's Leadership Behaviors and Online Learning
Facilitator's Leadership Behaviors and Online LearningFacilitator's Leadership Behaviors and Online Learning
Facilitator's Leadership Behaviors and Online LearningBodong Chen
 
Group Augustine---Blackboard Refined App
Group Augustine---Blackboard Refined AppGroup Augustine---Blackboard Refined App
Group Augustine---Blackboard Refined AppJill Feng
 
Technology Integration PD Proposal
Technology Integration PD ProposalTechnology Integration PD Proposal
Technology Integration PD Proposaldavemightbe
 
Week Four EDLD Blog Post
Week Four EDLD Blog PostWeek Four EDLD Blog Post
Week Four EDLD Blog Postjistre
 
Timetable management system(chapter 3)
Timetable management system(chapter 3)Timetable management system(chapter 3)
Timetable management system(chapter 3)Emeer95
 
Moodle Introduction: Develop Your Own Online Course Today
Moodle Introduction: Develop Your Own Online Course TodayMoodle Introduction: Develop Your Own Online Course Today
Moodle Introduction: Develop Your Own Online Course TodayPieter van der Hijden
 
6. activity and resource
6. activity and resource6. activity and resource
6. activity and resourceSyaiful Ahdan
 

What's hot (13)

Romano, G. (2019) Dancing Trainer: A System For Humans To Learn Dancing Using...
Romano, G. (2019) Dancing Trainer: A System For Humans To Learn Dancing Using...Romano, G. (2019) Dancing Trainer: A System For Humans To Learn Dancing Using...
Romano, G. (2019) Dancing Trainer: A System For Humans To Learn Dancing Using...
 
Organizational Chart And Action Plan
Organizational Chart And Action PlanOrganizational Chart And Action Plan
Organizational Chart And Action Plan
 
Week 4 plan
Week 4 planWeek 4 plan
Week 4 plan
 
Modulo material design_for_virtual_environments_observ
Modulo material design_for_virtual_environments_observModulo material design_for_virtual_environments_observ
Modulo material design_for_virtual_environments_observ
 
Flipped class collaborative learning-kaliappan-rit
Flipped class collaborative learning-kaliappan-ritFlipped class collaborative learning-kaliappan-rit
Flipped class collaborative learning-kaliappan-rit
 
Facilitator's Leadership Behaviors and Online Learning
Facilitator's Leadership Behaviors and Online LearningFacilitator's Leadership Behaviors and Online Learning
Facilitator's Leadership Behaviors and Online Learning
 
Group Augustine---Blackboard Refined App
Group Augustine---Blackboard Refined AppGroup Augustine---Blackboard Refined App
Group Augustine---Blackboard Refined App
 
Technology Integration PD Proposal
Technology Integration PD ProposalTechnology Integration PD Proposal
Technology Integration PD Proposal
 
Week Four EDLD Blog Post
Week Four EDLD Blog PostWeek Four EDLD Blog Post
Week Four EDLD Blog Post
 
Timetable management system(chapter 3)
Timetable management system(chapter 3)Timetable management system(chapter 3)
Timetable management system(chapter 3)
 
Itales
ItalesItales
Itales
 
Moodle Introduction: Develop Your Own Online Course Today
Moodle Introduction: Develop Your Own Online Course TodayMoodle Introduction: Develop Your Own Online Course Today
Moodle Introduction: Develop Your Own Online Course Today
 
6. activity and resource
6. activity and resource6. activity and resource
6. activity and resource
 

Viewers also liked

Minit mesyuarat pemulihan khas dan linus ketiga
Minit mesyuarat pemulihan khas dan linus ketigaMinit mesyuarat pemulihan khas dan linus ketiga
Minit mesyuarat pemulihan khas dan linus ketigamfadzlirazali
 
Minit mesyuarat panitia bm1 (2013)
Minit mesyuarat panitia bm1 (2013)Minit mesyuarat panitia bm1 (2013)
Minit mesyuarat panitia bm1 (2013)Zita Razak
 
Senarai kehadiran mesyuarat (1)
Senarai kehadiran mesyuarat (1)Senarai kehadiran mesyuarat (1)
Senarai kehadiran mesyuarat (1)Ahmad Syazwan
 
Minit mesyuarat aset ke 2 2013
Minit mesyuarat aset ke 2 2013Minit mesyuarat aset ke 2 2013
Minit mesyuarat aset ke 2 2013rabanirazar87
 
Minit mesyuarat spsk
Minit mesyuarat spskMinit mesyuarat spsk
Minit mesyuarat spskCha Zainol
 
tatasusila dan protokol mesyuarat
 tatasusila dan protokol mesyuarat tatasusila dan protokol mesyuarat
tatasusila dan protokol mesyuaraternittasabian
 
6 upsi qss 4013 pengurusan mesyuarat
6 upsi qss 4013 pengurusan mesyuarat6 upsi qss 4013 pengurusan mesyuarat
6 upsi qss 4013 pengurusan mesyuaratMuhamad Samsudin
 
Borang pk 07 2 senarai kehadiran mesyuarat
Borang pk 07 2 senarai kehadiran mesyuaratBorang pk 07 2 senarai kehadiran mesyuarat
Borang pk 07 2 senarai kehadiran mesyuaratintansulinranaisahak
 
Borang pk 07 4 rekod edaran
Borang pk 07 4 rekod edaranBorang pk 07 4 rekod edaran
Borang pk 07 4 rekod edaranMohd Zaizo Izani
 
36348807 minit-mesyuarat-panitia-kt-dan-sivik-kali-ke-2
36348807 minit-mesyuarat-panitia-kt-dan-sivik-kali-ke-236348807 minit-mesyuarat-panitia-kt-dan-sivik-kali-ke-2
36348807 minit-mesyuarat-panitia-kt-dan-sivik-kali-ke-2Revathi Chandran
 
Minit mesyuarat jawatankuasa aset 1 2015
Minit mesyuarat jawatankuasa aset 1  2015Minit mesyuarat jawatankuasa aset 1  2015
Minit mesyuarat jawatankuasa aset 1 2015shafy terrer
 
Minit mesyuarat agung pibg kali ke 37 smk tengku idris shah
Minit mesyuarat agung pibg kali ke 37 smk tengku idris shahMinit mesyuarat agung pibg kali ke 37 smk tengku idris shah
Minit mesyuarat agung pibg kali ke 37 smk tengku idris shahKhairie Idris
 
Modul 501 MEETING ARRANGEMENT
Modul 501 MEETING ARRANGEMENTModul 501 MEETING ARRANGEMENT
Modul 501 MEETING ARRANGEMENTKamizatul Liyana
 
Minit mesyuarat ahli jawatankuasa pibg sesi 2015 (1)
Minit mesyuarat ahli jawatankuasa pibg sesi 2015 (1)Minit mesyuarat ahli jawatankuasa pibg sesi 2015 (1)
Minit mesyuarat ahli jawatankuasa pibg sesi 2015 (1)Nurul Izyanti
 
KERTAS PENERANGAN 1 BKP 304 MESYUARAT
KERTAS PENERANGAN 1 BKP 304 MESYUARATKERTAS PENERANGAN 1 BKP 304 MESYUARAT
KERTAS PENERANGAN 1 BKP 304 MESYUARATalizaridwan
 
Mengendalikan Mesyuarat
Mengendalikan MesyuaratMengendalikan Mesyuarat
Mengendalikan Mesyuaratfyeda
 
Penulisan Minit Mesyuarat
Penulisan Minit MesyuaratPenulisan Minit Mesyuarat
Penulisan Minit MesyuaratHazwani Hashim
 

Viewers also liked (20)

Minit mesyuarat pemulihan khas dan linus ketiga
Minit mesyuarat pemulihan khas dan linus ketigaMinit mesyuarat pemulihan khas dan linus ketiga
Minit mesyuarat pemulihan khas dan linus ketiga
 
Minit mesyuarat panitia bm1 (2013)
Minit mesyuarat panitia bm1 (2013)Minit mesyuarat panitia bm1 (2013)
Minit mesyuarat panitia bm1 (2013)
 
Buku mmi
Buku mmiBuku mmi
Buku mmi
 
Senarai kehadiran mesyuarat (1)
Senarai kehadiran mesyuarat (1)Senarai kehadiran mesyuarat (1)
Senarai kehadiran mesyuarat (1)
 
Minit mesyuarat aset ke 2 2013
Minit mesyuarat aset ke 2 2013Minit mesyuarat aset ke 2 2013
Minit mesyuarat aset ke 2 2013
 
Minit mesyuarat spsk
Minit mesyuarat spskMinit mesyuarat spsk
Minit mesyuarat spsk
 
tatasusila dan protokol mesyuarat
 tatasusila dan protokol mesyuarat tatasusila dan protokol mesyuarat
tatasusila dan protokol mesyuarat
 
6 upsi qss 4013 pengurusan mesyuarat
6 upsi qss 4013 pengurusan mesyuarat6 upsi qss 4013 pengurusan mesyuarat
6 upsi qss 4013 pengurusan mesyuarat
 
Borang pk 07 2 senarai kehadiran mesyuarat
Borang pk 07 2 senarai kehadiran mesyuaratBorang pk 07 2 senarai kehadiran mesyuarat
Borang pk 07 2 senarai kehadiran mesyuarat
 
Borang pk 07 4 rekod edaran
Borang pk 07 4 rekod edaranBorang pk 07 4 rekod edaran
Borang pk 07 4 rekod edaran
 
36348807 minit-mesyuarat-panitia-kt-dan-sivik-kali-ke-2
36348807 minit-mesyuarat-panitia-kt-dan-sivik-kali-ke-236348807 minit-mesyuarat-panitia-kt-dan-sivik-kali-ke-2
36348807 minit-mesyuarat-panitia-kt-dan-sivik-kali-ke-2
 
Minit mesyuarat
Minit mesyuaratMinit mesyuarat
Minit mesyuarat
 
Minit mesyuarat jawatankuasa aset 1 2015
Minit mesyuarat jawatankuasa aset 1  2015Minit mesyuarat jawatankuasa aset 1  2015
Minit mesyuarat jawatankuasa aset 1 2015
 
Minit mesyuarat agung pibg kali ke 37 smk tengku idris shah
Minit mesyuarat agung pibg kali ke 37 smk tengku idris shahMinit mesyuarat agung pibg kali ke 37 smk tengku idris shah
Minit mesyuarat agung pibg kali ke 37 smk tengku idris shah
 
Modul 501 MEETING ARRANGEMENT
Modul 501 MEETING ARRANGEMENTModul 501 MEETING ARRANGEMENT
Modul 501 MEETING ARRANGEMENT
 
Minit mesyuarat ahli jawatankuasa pibg sesi 2015 (1)
Minit mesyuarat ahli jawatankuasa pibg sesi 2015 (1)Minit mesyuarat ahli jawatankuasa pibg sesi 2015 (1)
Minit mesyuarat ahli jawatankuasa pibg sesi 2015 (1)
 
Bpp 304 mesyuarat
Bpp 304 mesyuaratBpp 304 mesyuarat
Bpp 304 mesyuarat
 
KERTAS PENERANGAN 1 BKP 304 MESYUARAT
KERTAS PENERANGAN 1 BKP 304 MESYUARATKERTAS PENERANGAN 1 BKP 304 MESYUARAT
KERTAS PENERANGAN 1 BKP 304 MESYUARAT
 
Mengendalikan Mesyuarat
Mengendalikan MesyuaratMengendalikan Mesyuarat
Mengendalikan Mesyuarat
 
Penulisan Minit Mesyuarat
Penulisan Minit MesyuaratPenulisan Minit Mesyuarat
Penulisan Minit Mesyuarat
 

Similar to Mte3106

AET/570 part 7 Implementation
AET/570 part 7 ImplementationAET/570 part 7 Implementation
AET/570 part 7 ImplementationLauraMacias34
 
Redesigning a faculty development program
Redesigning a faculty development programRedesigning a faculty development program
Redesigning a faculty development programTanya Joosten
 
Moodle moot 20feb2013 iiv
Moodle moot 20feb2013 iivMoodle moot 20feb2013 iiv
Moodle moot 20feb2013 iivLouise Drumm
 
Developing knowledge and content in an online course
Developing knowledge and content in an online courseDeveloping knowledge and content in an online course
Developing knowledge and content in an online courseHelen Strong
 
Information Technology (IX CLASS FIRST TERM)
Information Technology (IX CLASS FIRST TERM) Information Technology (IX CLASS FIRST TERM)
Information Technology (IX CLASS FIRST TERM) Adityaroy110
 
Chart Your Own (Blended) Course... Using the Blended Learning Toolkit
Chart Your Own (Blended) Course... Using the Blended Learning ToolkitChart Your Own (Blended) Course... Using the Blended Learning Toolkit
Chart Your Own (Blended) Course... Using the Blended Learning ToolkitKelvin Thompson
 
BUE2015FlippedClassroomDesign.pdf
BUE2015FlippedClassroomDesign.pdfBUE2015FlippedClassroomDesign.pdf
BUE2015FlippedClassroomDesign.pdfloantnu1
 
E learning,How to develop eLearning from start to end.
E learning,How to develop eLearning from start to end.E learning,How to develop eLearning from start to end.
E learning,How to develop eLearning from start to end.Satish Verma
 
Experience with Online Teaching with Open Source MOOC Technology
Experience with Online Teaching with Open Source MOOC TechnologyExperience with Online Teaching with Open Source MOOC Technology
Experience with Online Teaching with Open Source MOOC TechnologyGeoffrey Fox
 
Blended Learning Guide via i-Learn
Blended Learning Guide via i-LearnBlended Learning Guide via i-Learn
Blended Learning Guide via i-LearnHafidzah Aziz
 
Moodle MOOC 11: Teaching and Learning Online
Moodle MOOC 11: Teaching and Learning Online Moodle MOOC 11: Teaching and Learning Online
Moodle MOOC 11: Teaching and Learning Online Nellie Deutsch (Ed.D)
 
Project decumentation
Project decumentationProject decumentation
Project decumentationtechprojects
 

Similar to Mte3106 (20)

AET/570 part 7 Implementation
AET/570 part 7 ImplementationAET/570 part 7 Implementation
AET/570 part 7 Implementation
 
Redesigning a faculty development program
Redesigning a faculty development programRedesigning a faculty development program
Redesigning a faculty development program
 
Viewpoints workshop handbook_final
Viewpoints workshop handbook_finalViewpoints workshop handbook_final
Viewpoints workshop handbook_final
 
Moodle moot 20feb2013 iiv
Moodle moot 20feb2013 iivMoodle moot 20feb2013 iiv
Moodle moot 20feb2013 iiv
 
Developing knowledge and content in an online course
Developing knowledge and content in an online courseDeveloping knowledge and content in an online course
Developing knowledge and content in an online course
 
Information Technology (IX CLASS FIRST TERM)
Information Technology (IX CLASS FIRST TERM) Information Technology (IX CLASS FIRST TERM)
Information Technology (IX CLASS FIRST TERM)
 
VIewpoints workshop handbook (Draft 01)
VIewpoints workshop handbook (Draft 01)VIewpoints workshop handbook (Draft 01)
VIewpoints workshop handbook (Draft 01)
 
Guideline
GuidelineGuideline
Guideline
 
Chart Your Own (Blended) Course... Using the Blended Learning Toolkit
Chart Your Own (Blended) Course... Using the Blended Learning ToolkitChart Your Own (Blended) Course... Using the Blended Learning Toolkit
Chart Your Own (Blended) Course... Using the Blended Learning Toolkit
 
BUE2015FlippedClassroomDesign.pdf
BUE2015FlippedClassroomDesign.pdfBUE2015FlippedClassroomDesign.pdf
BUE2015FlippedClassroomDesign.pdf
 
E learning
E learningE learning
E learning
 
ELearning Methodologies
ELearning Methodologies ELearning Methodologies
ELearning Methodologies
 
E-Learning Methodologies
E-Learning MethodologiesE-Learning Methodologies
E-Learning Methodologies
 
E learning,How to develop eLearning from start to end.
E learning,How to develop eLearning from start to end.E learning,How to develop eLearning from start to end.
E learning,How to develop eLearning from start to end.
 
Assignment 4
Assignment 4Assignment 4
Assignment 4
 
Experience with Online Teaching with Open Source MOOC Technology
Experience with Online Teaching with Open Source MOOC TechnologyExperience with Online Teaching with Open Source MOOC Technology
Experience with Online Teaching with Open Source MOOC Technology
 
Blended Learning Guide via i-Learn
Blended Learning Guide via i-LearnBlended Learning Guide via i-Learn
Blended Learning Guide via i-Learn
 
Moodle MOOC 11: Teaching and Learning Online
Moodle MOOC 11: Teaching and Learning Online Moodle MOOC 11: Teaching and Learning Online
Moodle MOOC 11: Teaching and Learning Online
 
Project decumentation
Project decumentationProject decumentation
Project decumentation
 
Introduction to Online Teaching - Handout Packet
Introduction to Online Teaching - Handout PacketIntroduction to Online Teaching - Handout Packet
Introduction to Online Teaching - Handout Packet
 

Recently uploaded

Navigating the Deluge_ Dubai Floods and the Resilience of Dubai International...
Navigating the Deluge_ Dubai Floods and the Resilience of Dubai International...Navigating the Deluge_ Dubai Floods and the Resilience of Dubai International...
Navigating the Deluge_ Dubai Floods and the Resilience of Dubai International...Orbitshub
 
Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...
Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...
Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...Jeffrey Haguewood
 
Quantum Leap in Next-Generation Computing
Quantum Leap in Next-Generation ComputingQuantum Leap in Next-Generation Computing
Quantum Leap in Next-Generation ComputingWSO2
 
DEV meet-up UiPath Document Understanding May 7 2024 Amsterdam
DEV meet-up UiPath Document Understanding May 7 2024 AmsterdamDEV meet-up UiPath Document Understanding May 7 2024 Amsterdam
DEV meet-up UiPath Document Understanding May 7 2024 AmsterdamUiPathCommunity
 
Elevate Developer Efficiency & build GenAI Application with Amazon Q​
Elevate Developer Efficiency & build GenAI Application with Amazon Q​Elevate Developer Efficiency & build GenAI Application with Amazon Q​
Elevate Developer Efficiency & build GenAI Application with Amazon Q​Bhuvaneswari Subramani
 
Less Is More: Utilizing Ballerina to Architect a Cloud Data Platform
Less Is More: Utilizing Ballerina to Architect a Cloud Data PlatformLess Is More: Utilizing Ballerina to Architect a Cloud Data Platform
Less Is More: Utilizing Ballerina to Architect a Cloud Data PlatformWSO2
 
TrustArc Webinar - Unlock the Power of AI-Driven Data Discovery
TrustArc Webinar - Unlock the Power of AI-Driven Data DiscoveryTrustArc Webinar - Unlock the Power of AI-Driven Data Discovery
TrustArc Webinar - Unlock the Power of AI-Driven Data DiscoveryTrustArc
 
AWS Community Day CPH - Three problems of Terraform
AWS Community Day CPH - Three problems of TerraformAWS Community Day CPH - Three problems of Terraform
AWS Community Day CPH - Three problems of TerraformAndrey Devyatkin
 
WSO2 Micro Integrator for Enterprise Integration in a Decentralized, Microser...
WSO2 Micro Integrator for Enterprise Integration in a Decentralized, Microser...WSO2 Micro Integrator for Enterprise Integration in a Decentralized, Microser...
WSO2 Micro Integrator for Enterprise Integration in a Decentralized, Microser...WSO2
 
TrustArc Webinar - Unified Trust Center for Privacy, Security, Compliance, an...
TrustArc Webinar - Unified Trust Center for Privacy, Security, Compliance, an...TrustArc Webinar - Unified Trust Center for Privacy, Security, Compliance, an...
TrustArc Webinar - Unified Trust Center for Privacy, Security, Compliance, an...TrustArc
 
Decarbonising Commercial Real Estate: The Role of Operational Performance
Decarbonising Commercial Real Estate: The Role of Operational PerformanceDecarbonising Commercial Real Estate: The Role of Operational Performance
Decarbonising Commercial Real Estate: The Role of Operational PerformanceIES VE
 
MINDCTI Revenue Release Quarter One 2024
MINDCTI Revenue Release Quarter One 2024MINDCTI Revenue Release Quarter One 2024
MINDCTI Revenue Release Quarter One 2024MIND CTI
 
How to Check CNIC Information Online with Pakdata cf
How to Check CNIC Information Online with Pakdata cfHow to Check CNIC Information Online with Pakdata cf
How to Check CNIC Information Online with Pakdata cfdanishmna97
 
Platformless Horizons for Digital Adaptability
Platformless Horizons for Digital AdaptabilityPlatformless Horizons for Digital Adaptability
Platformless Horizons for Digital AdaptabilityWSO2
 
Choreo: Empowering the Future of Enterprise Software Engineering
Choreo: Empowering the Future of Enterprise Software EngineeringChoreo: Empowering the Future of Enterprise Software Engineering
Choreo: Empowering the Future of Enterprise Software EngineeringWSO2
 
Introduction to Multilingual Retrieval Augmented Generation (RAG)
Introduction to Multilingual Retrieval Augmented Generation (RAG)Introduction to Multilingual Retrieval Augmented Generation (RAG)
Introduction to Multilingual Retrieval Augmented Generation (RAG)Zilliz
 
JavaScript Usage Statistics 2024 - The Ultimate Guide
JavaScript Usage Statistics 2024 - The Ultimate GuideJavaScript Usage Statistics 2024 - The Ultimate Guide
JavaScript Usage Statistics 2024 - The Ultimate GuidePixlogix Infotech
 
Repurposing LNG terminals for Hydrogen Ammonia: Feasibility and Cost Saving
Repurposing LNG terminals for Hydrogen Ammonia: Feasibility and Cost SavingRepurposing LNG terminals for Hydrogen Ammonia: Feasibility and Cost Saving
Repurposing LNG terminals for Hydrogen Ammonia: Feasibility and Cost SavingEdi Saputra
 
"I see eyes in my soup": How Delivery Hero implemented the safety system for ...
"I see eyes in my soup": How Delivery Hero implemented the safety system for ..."I see eyes in my soup": How Delivery Hero implemented the safety system for ...
"I see eyes in my soup": How Delivery Hero implemented the safety system for ...Zilliz
 
Stronger Together: Developing an Organizational Strategy for Accessible Desig...
Stronger Together: Developing an Organizational Strategy for Accessible Desig...Stronger Together: Developing an Organizational Strategy for Accessible Desig...
Stronger Together: Developing an Organizational Strategy for Accessible Desig...caitlingebhard1
 

Recently uploaded (20)

Navigating the Deluge_ Dubai Floods and the Resilience of Dubai International...
Navigating the Deluge_ Dubai Floods and the Resilience of Dubai International...Navigating the Deluge_ Dubai Floods and the Resilience of Dubai International...
Navigating the Deluge_ Dubai Floods and the Resilience of Dubai International...
 
Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...
Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...
Web Form Automation for Bonterra Impact Management (fka Social Solutions Apri...
 
Quantum Leap in Next-Generation Computing
Quantum Leap in Next-Generation ComputingQuantum Leap in Next-Generation Computing
Quantum Leap in Next-Generation Computing
 
DEV meet-up UiPath Document Understanding May 7 2024 Amsterdam
DEV meet-up UiPath Document Understanding May 7 2024 AmsterdamDEV meet-up UiPath Document Understanding May 7 2024 Amsterdam
DEV meet-up UiPath Document Understanding May 7 2024 Amsterdam
 
Elevate Developer Efficiency & build GenAI Application with Amazon Q​
Elevate Developer Efficiency & build GenAI Application with Amazon Q​Elevate Developer Efficiency & build GenAI Application with Amazon Q​
Elevate Developer Efficiency & build GenAI Application with Amazon Q​
 
Less Is More: Utilizing Ballerina to Architect a Cloud Data Platform
Less Is More: Utilizing Ballerina to Architect a Cloud Data PlatformLess Is More: Utilizing Ballerina to Architect a Cloud Data Platform
Less Is More: Utilizing Ballerina to Architect a Cloud Data Platform
 
TrustArc Webinar - Unlock the Power of AI-Driven Data Discovery
TrustArc Webinar - Unlock the Power of AI-Driven Data DiscoveryTrustArc Webinar - Unlock the Power of AI-Driven Data Discovery
TrustArc Webinar - Unlock the Power of AI-Driven Data Discovery
 
AWS Community Day CPH - Three problems of Terraform
AWS Community Day CPH - Three problems of TerraformAWS Community Day CPH - Three problems of Terraform
AWS Community Day CPH - Three problems of Terraform
 
WSO2 Micro Integrator for Enterprise Integration in a Decentralized, Microser...
WSO2 Micro Integrator for Enterprise Integration in a Decentralized, Microser...WSO2 Micro Integrator for Enterprise Integration in a Decentralized, Microser...
WSO2 Micro Integrator for Enterprise Integration in a Decentralized, Microser...
 
TrustArc Webinar - Unified Trust Center for Privacy, Security, Compliance, an...
TrustArc Webinar - Unified Trust Center for Privacy, Security, Compliance, an...TrustArc Webinar - Unified Trust Center for Privacy, Security, Compliance, an...
TrustArc Webinar - Unified Trust Center for Privacy, Security, Compliance, an...
 
Decarbonising Commercial Real Estate: The Role of Operational Performance
Decarbonising Commercial Real Estate: The Role of Operational PerformanceDecarbonising Commercial Real Estate: The Role of Operational Performance
Decarbonising Commercial Real Estate: The Role of Operational Performance
 
MINDCTI Revenue Release Quarter One 2024
MINDCTI Revenue Release Quarter One 2024MINDCTI Revenue Release Quarter One 2024
MINDCTI Revenue Release Quarter One 2024
 
How to Check CNIC Information Online with Pakdata cf
How to Check CNIC Information Online with Pakdata cfHow to Check CNIC Information Online with Pakdata cf
How to Check CNIC Information Online with Pakdata cf
 
Platformless Horizons for Digital Adaptability
Platformless Horizons for Digital AdaptabilityPlatformless Horizons for Digital Adaptability
Platformless Horizons for Digital Adaptability
 
Choreo: Empowering the Future of Enterprise Software Engineering
Choreo: Empowering the Future of Enterprise Software EngineeringChoreo: Empowering the Future of Enterprise Software Engineering
Choreo: Empowering the Future of Enterprise Software Engineering
 
Introduction to Multilingual Retrieval Augmented Generation (RAG)
Introduction to Multilingual Retrieval Augmented Generation (RAG)Introduction to Multilingual Retrieval Augmented Generation (RAG)
Introduction to Multilingual Retrieval Augmented Generation (RAG)
 
JavaScript Usage Statistics 2024 - The Ultimate Guide
JavaScript Usage Statistics 2024 - The Ultimate GuideJavaScript Usage Statistics 2024 - The Ultimate Guide
JavaScript Usage Statistics 2024 - The Ultimate Guide
 
Repurposing LNG terminals for Hydrogen Ammonia: Feasibility and Cost Saving
Repurposing LNG terminals for Hydrogen Ammonia: Feasibility and Cost SavingRepurposing LNG terminals for Hydrogen Ammonia: Feasibility and Cost Saving
Repurposing LNG terminals for Hydrogen Ammonia: Feasibility and Cost Saving
 
"I see eyes in my soup": How Delivery Hero implemented the safety system for ...
"I see eyes in my soup": How Delivery Hero implemented the safety system for ..."I see eyes in my soup": How Delivery Hero implemented the safety system for ...
"I see eyes in my soup": How Delivery Hero implemented the safety system for ...
 
Stronger Together: Developing an Organizational Strategy for Accessible Desig...
Stronger Together: Developing an Organizational Strategy for Accessible Desig...Stronger Together: Developing an Organizational Strategy for Accessible Desig...
Stronger Together: Developing an Organizational Strategy for Accessible Desig...
 

Mte3106

  • 1. Falsafah Pendidikan Kebangsaan Pendidikan di Malaysia adalah suatu usaha berterusan ke arah memperkembangkan lagi potensi individu secara menyeluruh dan bersepadu untuk mewujudkan insan yang seimbang dan harmonis dari segi intelek, rohani, emosi, dan jasmani berdasarkan kepercayaan dan kepatuhan kepada Tuhan. Usaha ini adalah bagi melahirkan rakyat Malaysia yang berilmu pengetahuan, berketrampilan, berakhlak mulia, bertanggungjawab, dan berkeupayaan mencapai kesejahteraan diri serta memberi sumbangan terhadap keharmonian dan kemakmuran keluarga, masyarakat, dan negara. Falsafah Pendidikan Guru Guru yang berpekerti mulia, berpandangan progresif dan saintifik, bersedia menjunjung aspirasi negara serta menyanjung warisan kebudayaan negara, menjamin perkembangan individu, dan memelihara suatu masyarakat yang bersatu padu, demokratik, progresif, dan berdisiplin. Cetakan Jun 2010 Kementerian Pelajaran Malaysia Hak cipta terpelihara. Kecuali untuk tujuan pendidikan yang tidak ada kepentingan komersial, tidak dibenarkan sesiapa mengeluarkan atau mengulang mana-mana bahagian artikel, ilustrasi dan kandungan buku ini dalam apa-apa juga bentuk dan dengan apa-apa cara pun, sama ada secara elektronik, fotokopi, mekanik, rakaman atau cara lain sebelum mendapat izin bertulis daripada Rektor Institut Pendidikan Guru, Kementerian Pelajaran Malaysia. iii
  • 2. MODUL INI DIEDARKAN UNTUK KEGUNAAN PELAJAR-PELAJAR YANG BERDAFTAR DENGAN BAHAGIAN PENDIDIKAN GURU, KEMENTERIAN PELAJARAN MALAYSIA BAGI MENGIKUTI PROGRAM PENSISWAZAHAN GURU SEKOLAH RENDAH (PGSR) IJAZAH SARJANA MUDA PERGURUAN. MODUL INI HANYA DIGUNAKAN SEBAGAI BAHAN PENGAJARAN DAN PEMBELAJARAN BAGI PROGRAM-PROGRAM TERSEBUT. Cetakan Jun 2010 Institut Pendidikan Guru Kementerian Pelajaran Malaysia ii
  • 3. CONTENTS PAGE Falsafah Pendidikan Kebangsaan iii Falsafah Pendidikan Guru Kata-Alu-aluan Rektor iv Learner’s Guide vi Introduction viii Distribution of Topics (Interaction and Module) Learning Topic: Topic 3 - Technology in Mathematics 1  Synopsis 1  Learning outcomes 1  Topic Framework 2 Unit 1: Hardware 1.0 Synopsis 3 1.1 Learning outcomes 3 1.2 Unit Framework 4 1.3 Introduction 4 1.4 Hardware 5 1.4.1 Input devices 7 1.4.2 Output devices 10 1.4.3 Storage devices 12 1.5 Other Useful Hardware 1.5.1 Interactive whiteboard 13 1.5.2 Visualiser 14 1.5.3 Graphing calculator 16
  • 4. Unit 2: Software 2.0 Synopsis 17 2.1 Learning outcomes 17 2.2 Unit Framework 18 2.3 Introduction 18 2.4 Teaching Packages 20 2.4.1 Types of instructional software 21 2.5 Teaching Software 23 2.5.1 Microsoft Office software 23 2.5.2 Geometer’s Sketchpad 26 2.5.3 Other mathematics software 27 Unit 3: Internet and Online Instructions 3.0 Synopsis 30 3.1 Learning outcomes 30 3.2 Unit Framework 31 3.3 Introduction 31 3.4 Internet Search Engines 33 3.5 Online Instructions 35 3.5.1 E-mail 36 3.5.2 Video conferencing 37 3.5.3 Internet forums 38 3.5.4 Online learning 39 Bibliography 45 Panel of Module Writers 46 Panel of Module Reviewers 47 Module Icons 48 ii
  • 5. PANDUAN PELAJAR Modul ini disediakan untuk membantu anda menguruskan pembelajaran anda agar anda boleh belajar dengan lebih berkesan. Anda mungkin kembali semula untuk belajar secara formal selepas beberapa tahun meninggalkannya. Anda juga mungkin tidak biasa dengan mod pembelajaran arah kendiri ini. Modul ini memberi peluang kepada anda untuk menguruskan corak pembelajaran, sumber-sumber pembelajaran, dan masa anda. Pembelajaran arah kendiri memerlukan anda membuat keputusan tentang pembelajaran anda. Anda perlu memahami corak dan gaya pembelajaran anda. Adalah lebih berkesan jika anda menentukan sasaran pembelajaran kendiri dan aras pencapaian anda. Dengan cara begini anda akan dapat melalui kursus ini dengan mudah. Memohon bantuan apabila diperlukan hendaklah dipertimbangkan sebagai peluang baru untuk pembelajaran dan ia bukannya tanda kelemahan diri. Modul ini ditulis dalam susunan tajuk. Jangka masa untuk melalui sesuatu tajuk bergantung kepada gaya pembelajaran dan sasaran pembelajaran kendiri anda. Latihan-latihan disediakan dalam setiap tajuk untuk membantu anda mengingat semula apa yang anda telah pelajari atau membuatkan anda memikirkan tentang apa yang anda telah baca. Ada di antara latihan ini mempunyai cadangan jawapan. Bagi latihan-latihan yang tiada mempunyai cadangan jawapan adalah lebih membantu jika anda berbincang dengan orang lain seperti rakan anda atau menyediakan sesuatu nota untuk dibincangkan semasa sesi tutorial. Modul ini akan menggantikan satu kredit bersamaan dengan lima belas jam interaksi bersemuka dalam bilik kuliah. Tiada kuliah atau tutorial diadakan untuk tajuk-tajuk dalam modul ini. Walau bagaimanapun, anda boleh berbincang dengan pensyarah, tutor atau rakan anda melalui email jika terdapat masalah berhubung dengan modul ini. Anda akan mendapati bahawa ikon digunakan untuk menarik perhatian anda agar pada sekali imbas anda akan tahu apa yang harus dibuat. Lampiran A menerangkan kepada anda makna-makna ikon tersebut. Anda juga diperlukan untuk menduduki peperiksaan bertulis pada akhir kursus. Tarikh dan masa peperiksaan akan diberitahu apabila anda mendaftar. Peperiksaan bertulis ini akan dilaksanakan di tempat yang akan dikenal pasti. Tip untuk membantu anda melalui kursus ini. 1. Cari sudut pembelajaran yang sunyi agar anda boleh meletakkan buku dan diri anda untuk belajar. Buat perkara yang sama apabila anda pergi ke perpustakaan. 2. Peruntukkan satu masa setiap hari untuk memulakan dan mengakhiri pembelajaran anda. Patuhi waktu yang diperuntukkan itu. Setelah membaca modul ini teruskan membaca buku-buku dan bahan-bahan rujukan lain yang dicadangkan. vi
  • 6. 3. Luangkan sebanyak masa yang mungkin untuk tugasan tanpa mengira sasaran pembelajaran anda. 4. Semak dan ulangkaji pembacaan anda. Ambil masa untuk memahami pembacaan anda. 5. Rujuk sumber-sumber lain daripada apa yang telah diberikan kepada anda. Teliti maklumat yang diterima. 6. Mulakan dengan sistem fail agar anda tahu di mana anda menyimpan bahan- bahan yang bermakna. 7. Cari kawan yang boleh membantu pembelanjaran anda. vii
  • 7. INTRODUCTION The MTE3106 Course (Resources in Mathematics) provides an opportunity for students to explore the applications of various resources in teaching and learning Mathematics (refer to Allocation of Topics). In this course, you will be introduced to printed materials, manipulative teaching and learning aids, technology in Mathematics, Mathematics facilities and management of resources. This module focuses on Topic 3 of the Course Proforma which covers aspects of Technology in Mathematics. The module is divided into three sub- topics or units, that is, Unit 1 – Hardware, Unit 2 – Software, and Unit 3 – Internet and Online Instructions. In this module you will learn about some hardware in technology that are useful for teaching and learning mathematics. In addition, you will learn about suitable teaching software packages and courseware that can help learning of mathematics. Finally, you will learn about the use of the Internet and online technology to facilitate mathematics teaching and learning This module provides information as well as activities that require you do exercises, make notes, think about ideas or search information to facilitate the learning of the contents specified. For each sub-topic or unit, you are required to go through the information provided and do the activities suggested, and answer any questions given. Outcomes of the activities carried out must be filed up in your folio. If you have doubts about answers to questions, solutions to tasks or have any queries, note them down and clarify them with your lecturers via e-mail, OLL or during your face-to-face interactions. You are expected to plan and work independently, to pace and direct your own learning effectively, and most of all, go through this module thoroughly to optimise your learning. To consolidate your learning, you are advised to refer to resources available in your school such as software packages (e.g. ETeMS courseware) and software in your computer laboratories. You are also advised to use other readings and references from books or from the Internet. For this course, it is imperative that you have access to the Internet to help you understand and master the contents in this module. viii
  • 8. ALLOCATION OF TOPICS The contents of this module will cover learning material equivalent to one credit of 15 hours face-to-face interaction. The table below describes the allocation of topics for both face-to-face interaction and module for this course. (Allocation of Topics for Face-to-face Interaction and Learning through Module in accordance to the Course Pro forma) Course Title Resources in Mathematics (Resos dalam Matematik) Course Code MTE3106 Credit 3(3+0) Contact 45 hours Hours Language Of English Delivery Prerequisite To Nil Entry Semester Four (PGSR) Learning 1. Choose appropriate and relevant mathematics resources Outcomes 2. Demonstrate their understanding in using the resources 3. Produce creative manipulative materials to support teaching and learning in mathematics 4. Display effective management skills in planning and handling mathematics resources Synopsis This course provides an opportunity for students to explore the applications of various resources in teaching and learning Mathematics. Students will be introduced to printed materials, teaching and learning aids, technology in Mathematics, Mathematics facilities and management of resources. Kursus ini memberi peluang kepada pelajar untuk menerokai aplikasi pelbagai resos dalam pengajaran dan pembelajaran matematik. Pelajar akan diperkenalkan dengan bahan bercetak, alat bantu pengajaran dan pembelajaran, teknologi dalam Matematik, kemudahan-kemudahan Matematik dan pengurusan resos.
  • 9. Topic Content Face-to- Module Total face (Hours) (Hours) (Hours) 1 Printed materials  Books o text, reference o Literature books 6 6  Integrating literature in teaching and learning Mathematics  Journals and articles 2 Teaching and learning aids o Manipulative kits: geoboard, Dienes blocks, Cuisenaire rods, Base ten blocks o Nets and solids 12 12 o Measuring instrument : weighing scale o Computing tools: calculators, abacus, rods & sticks 3 Technology in Mathematics  Hardware o Computers, LCD  Software packages 15 15 o Teaching packages o Teaching software and courseware  Internet and online instructions 4 Mathematics Facilities  Mathematics Laboratory 6 6  Mathematics garden  Mathematics corners 5 Management of resources  Inventory and records 6 6  Monitoring and maintenance  Planning and budgeting Total 30 15 45
  • 10. TOPIC 3 TECHNOLOGY IN MATHEMATICS  SYNOPSIS Apart from printed materials and hands-on manipulatives, computers and the associated technology of the Internet are also useful resources for mathematics teaching and learning. This module introduces you to current technological resources that can facilitate the teaching and learning of mathematics. These resources include the computer hardware, software packages, coursewares and the communicative and interactive technology of the Internet that affords online instructions.  LEARNING OUTCOME At the end of this module, you are expected to be able to (1) differentiate between hardware and software (2) identify some applications of hardware and software for teaching and learning mathematics (3) suggest some applications of the communication tools of Internet for learning (4) search the internet for resources for teaching and learning mathematics 1
  • 11. TOPIC FRAMEWORK TECHNOLOGY IN MATHEMATICS INTERNET AND HARDWARE SOFTWARE ONLINE INSTRUCTIONS Input Output Storage Other devices devices devices hardware Teaching Teaching Packages Software Types of Microsoft Geometer’s Other Instructional Office Sketchpad software Software History of the Internet Search Online Internet Engines Instructions E-mail Video Internet Online conferencing forum learning 2
  • 12. UNIT 1 Hardware 1.0 Synopsis This unit covers aspects of the computer hardware, which is an integral component of new technology. The term `hardware’ will be explained and basic hardware components in a computer will also be introduced. This module also presents examples of the three main categories of hardware – input, output and storage devices. In addition, it also highlights some useful hardware that are helpful for teaching and learning mathematics. 1.1 Learning Outcomes At the end of this unit, you are expected to be able to (a) explain the meaning of hardware (b) name the basic components of a desktop computer (c) give examples of input, output and storage devices (d) suggest some uses of hardware devices for teaching and learning (e) suggest some applications of the interactive whiteboard, visualiser and graphing calculator for teaching and learning mathematics 3
  • 13. 1.2 Unit Framework HARDWARE Input Output Storage Other devices devices devices hardware 1.3 Introduction New technology in teaching and learning mathematics is grounded very much in the use of computer and its technology. Nowadays almost everyone has seen or used a computer for work or leisure. In fact, many of our everyday services like banking, purchasing books, paying bills, checking summons etc. can be done using the computers. In education, computers can facilitate teachers’ work, enhance students’ learning and help adminitrators in their work. For example, a teacher can use the computer to type her examination questions, a student can use the computer to learn about a particular topic, and the school principal can use the computer to organise students’ data. Thus, computers can make a teacher’s work better, a student’s learning more enriching, and a principal’s work more efficient. There are many applications of computer technology in teaching and learning of mathematics in schools. We will be looking into some of it in the next unit, but first let’s take a look at the hardware that makes up a computer system. 4
  • 14. 1.4 Hardware The term computer hardware refers to the various external electronic components that are required for you to use a computer along with the hardware components inside the computer case. A desktop computer usually has the basic components made up of a system unit containing the central processing unit (CPU), a screen monitor, a keyboard, a mouse, speakers, and a microphone as shown in Figure 1.1. (With CPU inside) Figure 1.1: Main components of a computer system Do you know the function for each of the components shown in Figure 1.1? Let’s find out. Activity 1.1 Use your local library or the Internet, find out the function of these computer components: CPU unit, screen monitor, keyboard, mouse, speakers and microphone. File your answers in your folio. 5
  • 15. The system unit is the main component that contains the processor (CPU) which is like the brain of the computer. The CPU does all the work for the computer. Specifically, it calculates the mathematics algorithms to direct data flow and control the operations of the other parts of the computer. Today all CPUs are microchip processors which can process information and data at very high speed. Nowadays we have microprocessors that are in excess of 3 GigaHertz! (3,000,000,000 GHz) You may have heard of Pentium, Intel Dual Core, Phenom, Opteron and others which are names of microprocessors developed by companies like Intel and AMD. You can take a look at the chronology of microprocessors development at this web site http://en.wikipedia.org/wiki/Microprocessor_chronology Apart from the CPU, there are many other parts inside the casing of the system unit that are put together to make the computer work well for a user to type texts, listen to songs, store videos, or connect to the Internet. Figure 1.2 shows a diagram of the main parts inside the system unit. You can read more at the following website http://www.howstuffworks.com/pc.htm Figure 1.2: Main parts of the system unit 6
  • 16. Computer hardware can be physically handled, that is, can be assembled, substituted or removed from the computer by any person well- versed with the parts. Apart from the internal components that are assembled inside the CPU, the computer hardware also include peripherals, that is, devices that are attached to a computer to expand its capabilities. Generally, the computer hardware peripherals can be categorised into three main components based on its function, namely:  Input devices  Output devices  Storage devices Figure 1.3 shows how these devices are related to the CPU in a computer. Information into the Input devices computer Information processed by the CPU computer Information in a form Output & you can use or store Storage devices Figure 1.3: Relationship between input, processing and output or storage devices. 1.4.1 Input devices Input devices are external devices, that is, outside the system unit of the computer that send information and instructions to the computer to perform some tasks. In other words, an input device lets you communicate with a computer to do something. The computer keyboard is one example of an input device. A keyboard is a typewriter-like device that allows the 7
  • 17. user to type in text and commands to the computer. Some keyboards have special function keys or integrated pointing devices, such as a trackball or touch-sensitive regions that let the user's finger motions move an on-screen cursor, which is basically incorporating what we called a mouse. The computer mouse is another input device which is used to point and select items and commands on the screen. The mouse is a detection device that enables the user to control the motion of an on-screen pointer, or cursor, by moving the mouse on a flat surface. In doing so, the user can perform various functions such as opening a program or file. The mouse facilitates work by not requiring the user to memorise complicated commands. Do you know that the mouse was invented way back in 1963 by a researcher from Stanford University in USA? Since then, many types of computer mouse have been invented such as trackball mouse, touchpad mouse, optical mouse, cordless mouse and more. Figure 1.4 shows the functions of the parts of a typical mouse. The mouse can input information to the computer via a serial port, USB port, infrared or Bluetooth technology. You can find out more on how a mouse work in this web site http://computer.howstuffworks.com/mouse2.htm Figure 1.4: Functions of the parts of a mouse 8
  • 18. There are many other input devices such as joystick, digital camera, scanner, modem, Webcam, microphone, and voice recognition device. Activity 1.2 Access the internet and find out the function of each of this input device as shown in Table 1.1 below. Copy the table and file it in your folio when you are done. Table 1.1: Common Input Devices and Their Functions Input Function(s) device Joystick Digital camera Scanner Modem Webcam Microphone Voice recognition device Activity 1.3 The digital camera can be put to good use for teaching and learning mathematics. Think of an activity to illustrate how a mathematics student can use the digital camera for learning or how a mathematics teacher can use the digital camera for teaching primary school mathematics. Record your ideas, file them in your folio and share them online in the OLL. 9
  • 19. 1.4.2 Output devices Output devices are external devices that transfer information from the computer’s CPU to the computer user. For example, the computer screen monitor is a display unit to convert information generated by the computer into visual information. A monitor relies on a video card that is located inside the computer to process the computer data into image details that the monitor can display. The older monitors use cathode ray tube (CRT) similar to the TV screen for displays. Nowadays there are high-resolution liquid crystal display (LCD) and plasma monitors that give very sharp and clear images. Watching a movie or playing computer games would be more enjoyable with these high-resolution computer screens! Figure 1.5 shows the difference in thickness between a CRT and an LCD monitor. A CRT monitor An LCD monitor Figure 1.5: Comparison between a CRT and an LCD monitor Another common output device is the printer. A printer is a peripheral which produces a copy of readable text and/or graphics of documents. In other words, printers receive information from the computer and print them out in text and/or image form, usually on paper or transparencies. There are many types of printers – dot-matrix printers, 10
  • 20. laser printers and inkjet printers. Dot-matrix printers use tiny wires to impact upon an inked ribbon to form characters. Laser printers employ beams of light to draw images on a drum that then picks up fine black particles called toner. The toner is fused to a page to produce an image. Inkjet printers fire droplets of ink onto a page to form characters and pictures. Whichever printer you use, it is good advice to use paper sparingly to save our environment! The printer is a useful tool for teachers who can use them to print out worksheets, quizzes, pictorial diagrams, or photographs for their students to use. For example, a mathematics teacher who has created a file with diagrams of fraction charts could print out these diagrams for students to learn about fractions. Alternatively, if a mathematics teacher has scanned an interesting picture or photographed one using the digital camera, the images can be viewed directly in the display monitor or printed out using an ordinary printer or photo printer as shown in Figure 1.6. Figure 1.6: Relationship between input and output images 11
  • 21. If you are presenting a multimedia video about a topic of mathematics to your students, it would not be engaging if there is no sound. Can you imagine watching someone talk or sing but cannot hear a single word he is saying or singing? It would not be effective in getting the message across to the audience. This brings us to another useful output device for teaching and learning mathematics, that is, the speakers. Speakers take digital information from a computer file or from external audio devices like CDs or DVDs and transform it into actual sounds that we can hear. For example, if you have a recorded video clip of a teacher teaching about decimals, the speakers converts the digital information in the video clip into audio sounds which allow you to listen to the words said by the teacher. Activity 1.4 Speakers are useful devices in a mathematics classroom. As a mathematics teacher, can you think of two uses of the speakers in a mathematics class? Record your ideas and file them in your folio. Facsimiles or fax machines, photocopiers, plotters, projectors and headphones are some other output devices. In fact, improved output devices such as some multi-purpose printers can perform various functions like printing, photocopying and scanning all in a single machine. You can find out more about these devices in the Internet. 1.4.3 Storage devices Storage devices are designed to store digital information. Storage devices provide permanent storage of information for retrieval by computer until that information is deleted or changed. While computers have internal storage equipment such as the Random Access Memory (RAM), we will focus only on the external storage devices. These include 12
  • 22. the floppy discs, compact discs (CDs), digital video discs (DVDs), the USB Flash Drive, and the removable hard drives. Figure 1.7 shows some common storage devices. Figure 1.7: Common storage devices These storage devices store information in bytes – a byte is a character, which is a letter, number or symbol. There are 256 standard characters used by almost all computers. A typical high-density floppy disc has 1.44 MB, which is equivalent to 1,000,000 bytes. Nowadays the floppy discs are of limited use with more devices with higher storage capacity being invented to store multimedia content. For example, a standard CD can hold up to 800 MB of data while a single-sided, double-layer DVD can store up to 8.5 GB of data, a USB Flash Drive can hold up to 200 GB, and a high-capacity external hard drive can store up to 500 GB of data! 1.5 Other Useful Hardware 1.5.1 Interactive Whiteboard An integrated system that makes use of both input and output devices is the interactive whiteboard. The interactive whiteboard (input device) has a large interactive display that connects to a computer and a projector (output device) and typically mounted on a floor stand or to a wall. The projector beams the image of computer onto a whiteboard and by writing or touching the interactive whiteboard screen, messages are input back to the computer. Thus, the computer sends out information 13
  • 23. through the projector onto the whiteboard which then can capture new information to be sent back to the computer to change the original information. Figure 1.8 shows a simplified diagram on how the interactive whiteboard works. Whiteboard: Projector: send messages Every touch on the board is like to the projector and a mouse-click receives messages from the whiteboard on a computer screen. The whiteboard sends messages back to the computer – changes occur and the image on the board changes in response Computer: send messages to the projector and receives messages from the whiteboard Figure 1.8: Simplified diagram on how the interactive whiteboard work 1.5.2 Visualiser In essence, a visualiser is a digital camera mounted on an arm that can capture image of objects placed on a base and the image can then be projected on a screen or an interactive whiteboard. Figure 1.9 shows some examples of visualisers. Visualisers are useful when a teacher needs to show some objects or demonstrate some manipulation of objects that can be projected to the whole class. With most visualisers, you can zoom in and out, freeze and capture an image and then review the image captured. Software that accompanies the visualiser allows for further manipulation of the image or artefact such as time-lapse capture to track 14
  • 24. changes over a period of time. Using the visualiser, teachers can display real world examples or student work for evaluation by the class as well as use the interactive whiteboard features, if connected to one, to highlight, underline and write on documents that are displayed. Students in the back of the room are able to see what the teacher is trying to show them. For example, in learning about shapes a teacher can use a visualiser to show how a cube is folded from a net and students can then follow the folding process. In this way, the students can be more engaged and involved in the learning process Figure 1.9: Examples of visualisers Activity 1.5 Visualisers can be used to show or demonstrate a number of things in a mathematics class. Think two uses of the visualiser in a mathematics class. Record your ideas, file them in your folio and share them in OLL. 15
  • 25. 1.5.3 Graphing calculator A graphing calculator is a handheld calculator that is able to plot graphs, solve simultaneous equations and perform complicated mathematical operations. Newer versions have programming capability where users can create customised programmes. These new models can also display graphics in colour and permit 3D graphing. Figure 1.10 shows a graphing calculator from Texas Instruments. Graphing calculator is an especially useful tool for secondary or tertiary mathematics while its use in primary mathematics may be limited. Nevertheless, some models are installed with interactive geometry software like Cabri 3D which can be used to teach about shapes in primary school mathematics. Figure 1.10: An example of a graphing calculator TAKE A BREAK ! Take a short break before you continue with the next unit. A computer joke: Hardware, that part of a computer which can be kicked. If you can only swear at it, it is software!! 16
  • 26. UNIT 2 Software 2.0 Synopsis This unit covers aspects of the computer software, without which the computer hardware cannot function. The term `software’ will be explained. This module also distinguishes the various types of instructional software. Examples of teaching software using Microsoft Office programmes, Geometer’s Sketchpad and other mathematics software will be used to illustrate how they can be utilised in teaching and learning mathematics. 2.1 Learning Outcomes At the end of this unit, you are expected to be able to (a) explain the meaning of software (b) identify the types of instructional software (c) give examples of using Microsoft Office programmes for teaching and learning mathematics (d) suggest some ideas of using the Geometer’s Sketchpad and other mathematics software for teaching and learning mathematics 17
  • 27. 2.2 Unit Framework SOFTWARE Teaching Teaching Packages Software Types of Instructional Microsoft Geometer’s Other Software Office Sketchpad software 2.3 Introduction The computer cannot run with only the physical hardware assembled. It needs programmes or written instructions to tell the computer hardware what to do. These programmes are the computer software. In other words, a computer software is a programme or a sequence of intructions written to perform a specific task for a computer. This software is written in the language of computer programming where logic of the instructions can be read and carried out by the microprocessor in the computer. Computer software allows information to be processed by the microprocessor that together acts as the brain of the computer, telling the computer hardware what to do and when and how to do it. Without the software, the hardware is just a piece of device without function. Computer software translates an action such as clicking a mouse into a language that the computer hardware can follow and perform a task, like saving information into a floppy disc. On the other hand, without the hardware all written instructions in a piece of software cannot be executed and performed. It is like having the thoughts but without the brain and body to carry the thoughts! In short, both hardware and software are complementary and interdependent to make a computer work. 18
  • 28. Software are created by computer programmers and software engineers. There are many types of computer software – mainly categorised as system software or application software. System software helps run the computer hardware and the computer system. The Windows operating system is an example of a system software. Application software is software designed to help users perform a particular task that benefits them. For example, the Microsoft Word is an application software that helps you type out your text, SPSS ia a statistical application software that allows you to analyse data statistically, and Geometer’s Sketchpad is an application software to help students learn about geometry. While system software is important for computer to function, we will be focusing on application software in this unit. Activity 2.1 There are many application software that you have come across and used either in your work or leisure. List down an example of each in Table 2.1 below. Copy the table and file it up in your folio. Table 2.1: Example of application software Function Example Typing text Microsoft Word Making Presentations Watching movies Browsing the internet Sending an e- mail Playing an audio file Burn a CD/DVD 19
  • 29. 2.4 Teaching packages A teaching package can be defined as consisting of one or more related programmes packaged together for an educational purpose. While the Microsoft Office suite packages a word processing programme, a presentation programme, a spreadsheet programme or an internet browsing programme which can be used to enhance instructional activities, this package of software may not always be used for teaching or instruction. We will see how this software package can be used for teaching later, but first let us look at some specific instructional or teaching package. Teaching package contains programme(s) that delivers all or part of a student’s instruction on a given topic or in some way assist the learning of the topic. Teaching package can be a courseware package that bundles together various lessons, tests, or other learning activities and materials. When our Ministry of Education (MOE) implemented the teaching of Mathematics and Science in English (ETeMS), interactive teaching packages were produced in collaboration with Telekom and Educational Technology Division of MOE to help teachers and students learn mathematics in that medium. These instructional packages are self- contained stand-alone multimedia learning resources where teachers can use them in the classroom or students can use them on their own. These instructional packages present interactive tutorials to explain or facilitate some important mathematical concepts or procedures. They also contain drill and practice interactions that students can practice their mathematical skills as well as revision questions that allow students to test their skills. Figure 2.1 shows some screen shots of the Year 1 Courseware covering the learning outcome of finding the difference between two numbers through one-to-one matching. In this activity, students can listen to audio explanations, see pictorial representations, and use the mouse to select options and click and drag pictures. Feedback to their actions is given in the form of audio and visual cues. 20
  • 30. Figure 2.1: Screen shots of the MOE Year 1 Teaching-learning Courseware for Mathematics 2.4.1 Types of instructional software There are a number of instructional software that can be incorporated into teaching-learning package or courseware. Robbyler, Edwards and Havriluk (1997) identified five main types of instructional software:  Drill ( or drill and practice software) Programmes that allow learners to work problems or answer questions and get feedback on correctness.  Tutorial software Programmes that act like tutors by providing all the information and instructional activities that a learner needs to master a given topic (e.g., information summaries, explanation, practice routines, feedback, and assessment) 21
  • 31. Simulation software Programmes that model real or imagine systems to show how those systems or similar ones work  Instructional games Programmes designed to increase motivation by adding game rules to learning activities  Problem solving software Programmes that (a) teach directly (through explanation and/or practice) the steps in solving problems, or (b) help learners acquire problem-solving skills by given them opportunities to solve problems. Activity 2.2 Your school should have the teaching-learning coursware for ETeMS for mathematics. Pick a set of coursware for a particular year, for example, Year 2. Study the courseware carefully and try out some of the learning activities. State to what extent the different types of instructional software are incorporated in the package. Tick (√) or (x) for each type of software if it is present or not present in the courseware. For each software that is present describe how the activity is conducted int the courseware. Use Table 2.2 to help you organise your finding. Share your answers in the OLL and file them in your folio. Table 2.2: Types of software present in the Courseware Type of software Present Description of activity Drill and practice Tutorial Simulation Instructional game Problem solving 22
  • 32. 2.5 Teaching software Various software are available that can be used to enhance the teaching and learning of mathematics in schools. Some of these software are not specific to mathematics but can be applied by teachers to facilitate teaching of mathematics, while others are designed specifically for learning mathematics. Let’s take a look at some of the software. 2.5.1 Microsoft Office software The Microsoft Office package of programmes are interrelated desktop applications and services that can be used by mathematics teacher to enrich their teaching. An MS Office package may include the word processing software Microsoft Word, the presentation software Microsoft PowerPoint, the spreadsheet programme Microsoft Excel, and the publishing software Microsoft Publisher. The Table 2.3 shows the basic function of these programmes. Table 2.3: Microsoft Office software and function Type of software What it does Allows you to type up a document, such Microsoft Word® as a worksheet. Allows you to type in figures, use Microsoft Excel® formulas and create charts. Allows you to create presentations Microsoft composed of texts, graphics, movies and PowerPoint® other objects for teaching, etc. Microsoft Allows you to create brochures, greeting Publisher® cards, newsletters, etc. Microsoft Word itself is not designed specifically for teaching and learning of mathematics. However, it has some features in the application that can be used by mathematics teacher. For example, in the insert function there are 2D and 3D shapes which can be selected and drawn by teachers or students for learning purposes. Students can use drawn 2D 23
  • 33. shape such as squares and triangles and describe their properties and then type them out using MS Word. The programme also has an Equation Editor in the Insert Object function menu. This feature is very useful for teachers to type out their questions involving mathematical symbols for worksheets and test papers. Figure 2.2 shows a composite diagram on how to select the Microsoft Equation in MS Word 2003. 1. Click Insert 2. Click Object 3. Select Microsoft Equation 3.0 4. Click OK Figure 2.2: How to select the Microsoft Equation editor object Now let’s try out the Equation Editor. Activity 2.3 Use the Microsoft Equation object to perform these tasks: (a) Type out three questions involving addition of fractions, subtraction involving mixed numbers, and multiplication involving whole numbers and fractions (b) Type out the solution in the standard written algorithm (long division form) for the following division problems (i) 344 ÷ 8 (ii) 1055 ÷ 6 24
  • 34. Microsoft Excel spreadsheets, Microsoft PowerPoint presentations and Microsoft Publisher brochures can all be designed for the context of learning mathematics. It depends on the creative effort of teachers to explore how these tools can be used for enhancing mathematics teaching and learning. For example you can go this web site http://www.microsoft.com/Education/DisplayFractions.aspx to view an example of how a spreadsheet can be used to display fraction computations. The following site at http://presentationsoft.about.com/od/powerpointlessonplans/ig/PowerPoint -Math-Lessons/Subtraction-Using-PowerPoint.htm shows a simple illustration on how a teacher can create a PowerPoint presentation to teach subtraction involving missing addend problems. There are many more ideas that you can get from the Internet. Let’s see how resourceful you are in searching ideas for teaching mathematics using Microsoft programmes. Activity 2.4 Search the Internet for ideas on how to use the following Microsoft programmes to enhance your teaching of primary school mathematics. Take notes of the teaching ideas and file them up in your folio. Share your ideas with your coursemates during face-to-face interactions or in the OLL. 1. Microsoft Word 2. Microsoft Powerpoint 3. Microsoft Excel [Suggestion: see this site http://www.fi.edu/qa98/me5/me5.html] 4. Microsoft Publisher Other than Microsoft Office software, packages like Adobe Illustrator and CorelDraw contain graphic tools that can help mathematics teachers create diagrams for teaching purposes. 25
  • 35. 2.5.2 Geometer’s Sketchpad Apart from non-mathematical software like Microsoft Office programmes which can be utilised to facilitate mathematics teaching, there are also software that are designed specifically for teaching and learning mathematical concepts and skills. The Geometer’s Sketchpad is an example. This software is a dynamic interactive programme that helps students learn mathematical concepts in geometry, algebra and calculus by visualisation and interaction. It has the capability of allowing students to construct and explore geometrical shapes and properties in a dynamic interactive environment. Consequently, students can use the Geometer’s Sketchpad to build and investigate properties of mathematical models, objects, figures, diagrams and graphs. Figure 2.3 shows a screen shot of a Geometer’s Sketchpad activity that demonstrates the grouping concept to lead students to the place value concept. Figure 2.3: Example of a Geometer’s Sketchpad activity You can get more teaching ideas from the Key Curriculum Press website, which is the developer of Geometer’s Sketchpad, at this address http://www.dynamicgeometry.com/General_Resources/Classroom_Activiti es.html 26
  • 36. Activity 2.5 Go to this web site http://jwilson.coe.uga.edu/emt669/Student.Folders/Lewis.Millard /unit/DayOne.html You can download a Geometer’s Sketchpad file that can show the multiplication of fractions. Of course to open this file you need to install the programme in your computer. 2.5.3 Other mathematics software There are a number of programmes available on the Internet that are suitable for teaching and learning mathematics. Some of these programmes are free while others require you to purchase them. Many of these are drill and practice software which allow students to have (a) control over the level or pace of the practice, and (b) appropriate feedback for correct answers. For example, you can download a trial copy of a drill and practice mathematics quiz in this web site http://www.qmsoftware.com.au/SpellingGames.htm called the ABC Spelling and Math Games. This software allows students to practice mathematics questions at primary level with appropriate feedback; and correct responses are tracked to indicate performance. In addition, a teacher can design his/her own quizzes for specific learning outcome involving the basic operations for numbers, fractions, decimals and percentage. Figure 2.4 shows a screen shot of a sample mathematics quiz involving addition of fractions. You should download the software and take a look at the example. Although drill and practice software are good for rehearsal and revision of mathematical skills involving basic operations, they lack the capability to develop higher-order mathematical skills such as problem solving. Hence, developers have created more complex and integrated courseware that enables students to build problem solving skills. One 27
  • 37. example is the Adventures of Jasper Woodburry Series developed by Vanderbilt University, USA. This series consists of 12 video-disc based adventures that focus on mathematical problem finding and problem solving. Each adventure provides multiple opportunities for problem solving, reasoning, communication and making connections to other areas such as science, social studies, literature and history. You can read more about this interesting series from this address http://peabody.vanderbilt.edu/projects/funded/jasper/intro/Jasperintro.html Figure 2.4: Example of a mathematics teaching software Activity 2.6 Surf the Internet and look for one example each of the following type of software or courseware that can help you in teaching and learning mathematics for primary school. (a) Drill and practice software (b) Problem solving software For each software or courseware comment on the usefulness for your teaching in your school. File your comments in the folio and share them in the OLL. 28
  • 38. TAKE A BREAK ! Take a break before you continue with the next unit. Here is a funny poem for you to relax your mind! A Poem about Computers A computer was something on TV From a science fiction show of note. A window was something you hated to clean... And ram was the cousin of a goat..... Meg was the name of my girlfriend And gig was a job for the nights Now they all mean different things And that really mega bytes An application was for employment A program was a TV show A cursor used profanity A keyboard was a piano Memory was something that you lost with age A CD was a bank account And if you had a 3 1/2" floppy You hoped nobody found out Compress was something you did to the garbage Not something you did to a file And if you unzipped anything in public You'd be in jail for a while Log on was adding wood to the fire Hard drive was a long trip on the road A mouse pad was where a mouse lived And a backup happened to your commode Cut you did with a pocket knife Paste you did with glue A web was a spider's home And a virus was the flu I guess I'll stick to my pad and paper And the memory in my head I hear nobody's been killed in a computer crash But when it happens they wish they were dead! (Source: Easy Desk Software at http://www.easydesksoftware.com/compoem.htm) 29
  • 39. UNIT 3 Internet and Online Instructions 3.0 Synopsis This unit covers development of the Internet and its applications. Specifically, the function of search engines will be explained. This module also discusses some uses of the communication technology including e-mail, video conferencing, and Internet forum discussion. In addition, some aspects of online learning involving distance learning, e-learning and web-based learning will be discussed. Examples of mathematics resources site are also provided. 3.1 Learning Outcomes At the end of this unit, you are expected to be able to (a) state briefly the history of the Internet (b) use suitable search engine to search for resources (c) identify some uses of communication technology for teaching and learning (d) suggest some web-based resources for e-learning and web- based learning (e) identify suitable professional sites as resources for teaching and learning mathematics 30
  • 40. 3.2 Unit Framework INTERNET AND ONLINE INTRUCTIONS History of the Internet Search Online Internet Engines Instructions E-mail Video Internet Online conferencing forum learning 3.3 Introduction – A Brief History of the Internet Nowadays almost everyone is familiar with the Internet. In fact, some people cannot go a day without using the Internet! Many students and teachers are using the internet for various purposes – connecting with friends, accessing information and news, viewing multimedia content and many more. While the Internet serves many purposes, it is the role of the Internet in facilitating learning both inside and outside the classroom that we are interested in. Before we look at how Internet facilitates teaching and learning of mathematics, do you know what the Internet is? Here is one summarised explanation from Wikipedia, an online encyclopedia. The Internet ia ”a global system of interconnected computer networks that use the standard Internet Protocol Suite (TCP/IP) to serve billions of users worldwide. It is a network of networks that consists of millions of private, public, academic, business, and government networks of local to global scope that are linked by a broad array of electronic and optical networking technologies. The Internet carries a vast array of information resources and services, most notably the inter- linked hypertext documents of the World Wide Web (WWW) and the infrastructure to support electronic mail” (Wikipedia, retrieved May 2010). 31
  • 41. To understand more about how the network of networks is developed, let’s take a brief look at how the Internet began. Activity 3.1 Access the internet through this URL http://www.davesite.com/webstation/net-history.shtml and you will see a timeline of the history of the Internet. Fill up Table 3.1 below with the important events that shape the development of the Internet. Copy the table and file it in your folio. Table 3.1: A brief history of the Internet Year Event(s) 1962 1968 1972 1973 1974 1976 1983 1988 1990 1992 1996 1999 32
  • 42. 3.4 Internet Search Engines The Internet is a massive connection of networks with millions of addresses that provide various sources of data and information. To look up the relevant data or information requires search engines to “search the World-Wide Web” for related web pages, images, information and other types of files efficiently. Otherwise, it is quite impossible to look for what you need in a sea of information – it’s like looking for a pin in an ocean! Search engines are special sites on the Web that are designed to help internet users find relevant information stored on other sites. There are differences in the ways various search engines work, but they all perform three basic tasks:  They search the Internet (i.e. the World Wide Web) -- or select pieces of the Internet -- based on important words.  They keep an index of the words they find, and where they find them.  They allow users to look for words or combinations of words found in that index. You can read more about how search engines work in this web site with the address http://computer.howstuffworks.com/internet/basics/search- engine.htm There are various search engines available to help students and teachers of mathematics to look for information and materials ranging from textual articles to multimedia videos. Mozilla Firefox, Google, Altavista, Yahoo! Search, Ask.com, Bing are some commonly used search engines. Some search engines are specialised to look up information on specific area. For example, YouTube is a search engine that help search for video files, Technorati specialises in looking up blogs (short for Web Logs), and Google Scholar search for academic materials. For a list of search engines go to this site http://en.wikipedia.org/wiki/List_of_search_engines 33
  • 43. Let’s practice some Internet search and surfing! Activity 3.2 Select a search engine of your choice and look up some websites that are relevant to primary school mathematics. Describe briefly how you can use the information from three websites to teach primary mathematics. File up your search and share your information in the OLL. Site 1: URL _________________________________________ Description of use: Site 2: URL _________________________________________ Description of use: Site 2: URL _________________________________________ Description of use: 34
  • 44. 3.5 Online Instructions The Internet is becoming a useful mode of learning. Research has indicated that technology like the Internet plays a critical role in changing the classroom learning environments. Learning on the Internet or learning online has the potential to enrich the learning experience of many students. With its vast resources of information and capability to provide information at a click of a button, learners can have access to learning materials that are not confined to textbooks and libraries. And the ability to connect between users means the Internet can deliver instruction which is not limited by distance and time. There are many ways the technology provided by the Internet can change and enrich learning experiences. For example, a mathematics student from Malaysia can learn from another mathematics student in America at any time of the day through sharing ideas, comparing resources, and interacting with each other. Alternatively, a mathematics student can access suitable web sites that provide drill and practice exercises on a particular topic and learn at his own pace and time. Activity 3.3 Think of some other ways that a mathematics student can learn using the Internet. Record your thoughts and share them online in the OLL. Learning mathematics via the Internet: 35
  • 45. For mathematics teachers, the Internet is an abundant resource provider that can help them make their teaching more constructive, engaging and rewarding for their students. The challenge lies in locating, accessing and integrating these materials meaningfully into their schools’ mathematics curricula and using the materials appropriately for teaching and learning of mathematics. The Internet is also a way of making connection between mathematics teachers around the world where they can network and share experiences, teaching resources and ideas. How can students and teachers of mathematics connect, communicate and collaborate using the Internet? Well, there are several ways it can be done. 3.5.1 E-Mail Every day all over the world, netizens or citizens of the Internet send out billions of email messages. The e-mail has become an indispensable communication tool for many people. The e-mail message is basically a simple text message sent to a recipient. Nowadays you can send an e-mail message with attachments which can be image, video and other digital files. To send and receive e-mails you need to have an e-mail client. You can use stand-alone e-mail clients like Microsoft Outlook, Outlook Express, Eudora, Pegasus or you can register for free e-mail services like Yahoo, Hotmail or Google Mail. As a teacher, you can use the e-mail to send mathematics assignment tasks, exercise questions, revision questions, information about class schedules, video of recorded teaching and many other learning materials to your students. In reply, the students can attach their solutions, queries, and project papers for you to check and provide feedback without having to use printed materials. Teachers can use the e- mail to network with other mathematics teachers locally or globally in order to share and learn from each other. 36
  • 46. 3.5.2 Video Conferencing Video conferencing allows people from two or more locations to communicate by seeing and hearing each other at the same time. They can exchange visual information in the form of videos as well as audio content. The simplest video conferencing is the point-to-point involving two people where you need the following:  A computer  An Internet connection  A telephone, if audio content is not provided online  A PC with a microphone, a Webcam or digital video camera, and a video capture card Video input from the camera and audio input from the microphone are converted to digital data that can be sent through the Internet or a wireless network. When the data reaches the participant of the conference, the video and audio are viewed and heard on a computer, television screen or mobile phone. Figure 3.1 shows a simplified diagram of how the video conference works. Figure 3.1: A simple diagram of how video conferencing works 37
  • 47. Activity 3.4 Video conferencing may help students learn mathematics when they are absent from the school for some reasons. Think about how a mathematics teacher can use video conferences to help the students learn what the teacher is teaching. File up your ideas and share them during your face-to-face interactions. 3.5.3 Internet Forums An internet forum or message board is an online discussion site where users can post comments to discuss a wide range of topics. Many distance learning programmes in universities incorporate this technology as part of the learning mode for their students. The advantage of this technology is the ability to allow groups of users to build online learning communities where learning is communicated and collaborated. For example, a mathematics teacher can set up an online discussion forum where his/her students can post comments, answers and solutions about a particular topic of mathematics. There are free software available where you can set up a discussion forum for a group of students. bbPress, phpBB, Vanilla, and Phorum are some free forum software. Apart from these you can subscribe to professional sites to take part in forum discussions. Figure 3.2 shows a screen capture of a forum discussion about fractions at the Math Forum@Drexel web site. Activity 3.5 Search the Internet for other discussion forum sites that are useful for mathematics teachers. Jot down the address and comments on the topics discussed. File up your search in your folio. 38
  • 48. Figure 3.2: Example of mathematics discussion forum 3.5.4 Online learning The Internet has been used to deliver learning and instruction in recent years. A number of universities all over the world are embracing the technology to conduct distance learning. A common feature of distance learning programmes is that there is a separation of teacher and learner in time or place, or in both time and place. This process of extending learning opportunity away from the classrooms or lecture rooms means effective ways are needed to deliver instructional materials and resources to learners over a distance at various times. The advent of the Internet with its communicative feature plus the capability to send digital information quickly allows distance learning to be conducted via e- learning. E-learning or electronic learning is any learning that uses the Internet to deliver some form of instruction to a learner or learners separated by time, distance or both (Reiser & Dempsey, 2002). Some universities who provides e-learning do so by providing assistance to learners through a Learning Management System (LMS). An LMS is a software application that is used to organise and provide access to online services for students and instructors. These services usually include 39
  • 49. access to course guides, notes, communication tools, as well as discussion forum. For example, Open University of Malaysia provides distance learning programmes via a blended mode of e-learning that incorporates an LMS with online discussion, e-mail communication and links to digital collection of resources. Activity 3.6 There are many benefits of enrolling a course through e- learning. Surf the Internet and jot down some benefits. File up your answers in the folio. Benefits of e-learning: 1. 2. 3. 4. 5. 6. 7. E-learning is not necessary only carried out by institutions of higher learning. Organisations, professional institutions, commercial enterprises, or individuals can design and deliver e-learning to any interested parties. There are many web sites on the Internet that provide learning courses or specific learning content given either free or charged a payment. This form of learning where a learner can access a web site to learn comprehensively about some topics is often called web-based learning. Web-based learning materials may include content presentations, tutorials, practice questions and solutions, quizzes, video demonstrations, 40
  • 50. educational games, virtual learning environments etc. and most of these are often interactive. Figure 3.3 shows a mathematics resource site that provides web-based learning materials with links to interactive mathematics tools and activities for students and teachers. Figure 3.3: A web site with interactive links for web-based learning A number of professional web sites are available online that provide useful resource materials for mathematics teachers and students. One such site is the NCTM Illuminations web site constructed by The National Council of Teachers of Mathematics (NCTM) in USA. This web site [URL:http://illuminations.nctm.org/] supports mathematics teachers with helpful and informative resources and links that help teachers develop professionally. In this site mathematics teachers can access mathematics teaching and learning activities, lesson plans, mathematics tools as well as links to other mathematics teaching and learning web sites. Both primary and secondary mathematics resources are available in this web site. Figure 3.4 shows the main web page of the NCTM Illuminations site. Another useful mathematics resource site for teaching and learning mathematics for all levels is TheMathForum@Drexel [URL: http://mathforum.org/teachers/] where teachers can contribute, share and learn from each other too. 41
  • 51. Figure 3.4: The NCTM Illuminations web site In conclusion, there is a wealth of mathematics resources in the Internet that a resourceful teacher can utilised, especially in conjunction with the current hardware and software available. Embrace technology to enhance pedagogy! Activity 3.7 Many more interesting and helpful web sites are available for mathematics teachers and students. Surf the net and identify (a) two web sites that are relevant to mathematics teachers to obtain teaching resources, and (b) two web sites that have interactive learning materials for primary school mathematics students. For each web site, do a screen capture of the page and provide a brief description on how it can be used by teachers or students. The results of this activity should be filed up in your folio and share your search results in the OLL or during your face-to-face interactions. 42
  • 52. Review Exercise It is time to review what you have learned from this module. Answer the following questions and file up your answers in your folio. 1. State the meaning of hardware of a computer. 2. Name three major types of hardware. 3. Give three examples of input devices 4. Give three examples of output devices 5. Give three examples of storage devicee 6. State one feature of an interactive whiteboard 7. Give one advantage of using a visualiser in a mathematics class 8. What is the difference between a system software and an application software? 9. Name the five main types of instructional software 10. Give one application of using MS Word in a mathematics class. 11. State one benefit of using Geometer’s Sketchpad in a mathematics classroom. 12. What is the benefit of using a problem solving software? 13. Name two internet search engines. 14. Give one use of the e-mail in mathematics teaching. 15. Describe one way video conference can be used for mathematics teaching and learning. 16. Give one example of web-based learning. 17. Give an example of a professional website that has good mathematics resources. 43
  • 53. Food for Thought Technology is increasingly used in education with huge amount spent in developing the infostructure for ICT in schools. Yet, some people question whether the financial investment is worth the returns from ICT in Education Discuss this issue with your coursemates in the OLL. CONGRATULATIONS! You have succeeded in completing this module. “Learning is not achieved by chance, it must be sought for with ardor and attended to with diligence.” – Abigail Adams 44
  • 54. BIBLIOGRAPHY Burns, M. (1992). About Teaching Mathematics. Maths Solution. Foresman, S. (2000). Interactive mathematics: Lessons and tools. NJ: Prentice Hall. Haylock, D. (2003). Understanding mathematics in the lower primary years. UK: Paul Chapman Publication. Jennings, S., & Dunne, R. (2003). I see maths books. vol 1-3. UK: Mashford Colour Press. National Curriculum Council. (1991). Prime calculators: Children and mathematics. UK: Simon and Schuster. Reiser, R.A., & Dempsey, J.A. (Eds.) (2002). Trends and issues in instructional design and technology. Upper Saddle River , New Jersey : Merrill/Prentice Hall. Robbyler, M.D., Edwards, J., & Havriluk, M.A. (1997). Integrating educational technology into teaching. Upper Saddle River, New Jersey: Merrill/Prentice Hall. Trautman, A. P., & Lichenberg, B. K. (2003). Mathematics: A good beginning . 6th ed. UK: Wadsworth/ Thompson Inc. Internet websites: http://www.davesite.com/webstation/net-history.shtml http://mathforum.org/teachers/ http://illuminations.nctm.org/ http://en.wikipedia.org/wiki/List_of_search_engines http://en.wikipedia.org/wiki/Internet http://computer.howstuffworks.com/internet/basics/search-engine.htm http://www.coolmath.com/ http://peabody.vanderbilt.edu/projects/funded/jasper/intro/Jasperintro.html http://www.askdeb.com/blog/technology/what-is-computer-software/ http://www.rsc- london.ac.uk/fileadmin/docs/curriculum/staff_dev/learning_journey/documents/ag _smartboards.pdf http://www.jisc.ac.uk/uploaded_documents/Interactivewhiteboards.pdf http://www.innovationslearning.co.uk/subjects/maths/activities/year3/number_dea ns/question.asp http://www.rsc- london.ac.uk/fileadmin/docs/curriculum/staff_dev/learning_journey/documents/ag _smartboards.pdf 45
  • 55. PANEL OF MODULE WRITERS PROGRAM PENSISWAZAHAN GURU SEKOLAH RENDAH (MTE 3016 MATEMATIK PENDIDIKAN RENDAH) NAME QUALIFICATIONS PANEL HEAD QUALIFICATIONS: NAME: DR. LAM KAH KEI 1. Doctorate (PhD) (Mathematics Education) POSITION: SENIOR MATHEMATICS 2. Master of Education LECTURER (Curriculum & Instruction) 3. B.Sc.Ed (Hons.) E-MAIL: vlam@tm.net.my (Biology, Mathematics) WORK EXPERIENCE: 1. Mathematics Lecturer: 1991 – 2008 2. Seniour Mathematics Lecturer: 2008 – now PANEL MEMBER QUALIFICATIONS: 1. B.Sc.Ed.Physics, Mathematics NAME: JOHARI B. BAPOKUTTY POSITION: MATHEMATICS LECTURER WORK EXPERIENCE: E-MAIL: jbmptaakl@Hotmail.com 1. Mathematics Lecturer: 1995 – 1998 2. Examination Secretary: 1999 – 2008 3. Mathematics Lecturer/Unit Head: 2009 - now PANEL MEMBER QUALIFICATIONS: NAME: JOHNSON A/L SAVARIMUTHU 1. M.Ed (Mathematics) POSITION: MATHEMATICS LECTURER 2. B.Ed (Mathematics) E-MAIL: johnsavarimuthu_1968@yahoo.com WORK EXPERIENCE: 1. Mathematics Lecturer: 2008 - now 2. School mathematics teacher: 1993 – 2007 46
  • 56. PANEL OF MODULE REVIEWERS PROGRAM PENSISWAZAHAN GURU SEKOLAH RENDAH (MTE 3106 MATEMATIK PENDIDIKAN RENDAH) NAMA KELAYAKAN PANEL HEAD QUALIFICATIONS: NAME: DR. LAM KAH KEI 1. Doctorate (PhD) (Mathematics Education) POSITION: SENIOR MATHEMATICS 2. Master of Education LECTURER (Curriculum & Instruction) 3. B.Sc.Ed (Hons.) E-MAIL: vlam@tm.net.my (Biology, Mathematics) WORK EXPERIENCE: 1. Mathematics Lecturer: 1991 – 2008 2. Seniour Mathematics Lecturer: 2008 – now PANEL MEMBER QUALIFICATIONS: 1. B.Sc.Ed.Physics, Mathematics NAME: JOHARI B. BAPOKUTTY POSITION: MATHEMATICS LECTURER WORK EXPERIENCE: E-MAIL: jbmptaakl@Hotmail.com 1. Mathematics Lecturer: 1995 – 1998 2. Examination Secretary: 1999 – 2008 3. Mathematics Lecturer/Unit Head: 2009 - now (NAMA) (KELULUSAN) (JAWATAN) PHD/SARJANA/SARJANA MUDA/DIPLOMA/SIJIL (EMEL) (PENGALAMAN KERJA) 47
  • 57. ICONS Break Discussion Reading material Reference book Exercise Make notes Checklist Surf Internet User Guide Gather Information Tutorial Think End 48