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Integrated Intelligent Research (IIR) International Journal of Computing Algorithm
Volume: 03 Issue: 03 December 2014 Pages: 264-266
ISSN: 2278-2397
264
Animation to Develop Mathematical Connections
in Students
A.John Pradeep Ebenezer1
, S. Anand Christy2
, A.Banupriya3
1,2,3
St.Joseph’s College of Arts & Science (Autonomous) ,Cuddalore.
Email: bobbyebe@gmail.com,logtochristy@gmail.com,banu_2407@yahoo.com
Abstract - The main purpose of this paper is to improve
mathematical connection in e-learning using animations that
will help the students in learning. Animation content is
displayed to students. To know the mathematical evaluation
abilities in students, pre-test and post-test were administrated
before and after teaching and learning process. At last the
result was found to be that animation content had significant
effect on mathematical connections between students and it has
also been helpful to improve mathematical connection than that
of normal approach in teaching and learning.
Keywords: e-learning, improving, animation content,
mathematical connection abilities.
I. INTRODUCTION
Electronic technology helps students in organizing and
analyzing data, it provides all students to calculate in a quick
and accurate manner. Computer can be considered as one of
the best said example. Dubinsky and Tall stated that computer
can be used as a tool to complement advantage mathematical
thinking in variety of ways. It is necessary to develop an
encourage students in learning and using electronic technology
that will help them in their future. This technology will be
helpful for both the teachers and students.
In the past history and some places, even today math’s is
considered to be very annoying, boring and students will be
less interested. In this case they will be forced to do learning
which will be unpleasant to them. To change this atmosphere,
technologies must be used which help teachers in teaching and
students in learning. This will be effective for students to
recognize themselves in their learning process. Both the
teachers and students should be able to utilize the technology
in learning and teaching.
In association with the development of Information and
Communication Technology (ICT), teachers and students
should be able to be equal to and utilize the advance of it.
Teachers should be able to exploit or utilize the ICT-based
media in the learning process. With the rapid development of
ICT, there has been a shift in views on learning in and
outside the classroom. After the shift in teaching method there
are different views on learning in and outside the classroom.
Development of computer in mathematics is designed with the
requirement that is expected to be much helpful to enhance
student’s mastery of mathematics. Technology devices can be
used to help students investigate various mathematical
phenomenon’s. ICT can also assist students in learning
mathematics. All these technologies will help students to go on
with different formats that are seen visually and observed.
These will help students to easily formulate mathematics.
Dunham and Dick stated that if there is proper use of computer
technology, students will be able to learn with more interest
and will start learning in more profound ways[1]. Furthermore,
Dubinsky and Tall stated that computers can also give much-
needed meaning to mathematical concepts that students may
feel are ‘not of the physical world” but in the mind or in some
ideal world [ 2 ] .
Advantages of using this computer as a medium of learning is
that graphs and pictures used as a visual form will be attractive
and can be observed which will help students to study easily.
By using computer and animation, difficult boring models,
techniques, types and equation in mathematics can be easily
studied and captured by the students.
Bitter and Hatfield stated that it will be reasonable and efficient
that if computer technology will be used to improve quality of
learning in mathematics particularly[3].This will help to meet
the diversity of student’s ability, as well as under the
opportunities to obtain better education. To satisfy the children
needs, teachers must try to serve all students. In utilizing the
advantage of ICT, it needs to consider diversity of
student’s abilities as well as wider opportunities for society
to obtain education. To meet the children necessities with
various abilities, teachers should try to serve all children
well. To meet these expectations, teacher’s role is certainly
not easy. Ruseffendi stated that more heterogeneous the
students, more difficult to teach. Because of these reasons
teachers need to take on extra effort to serve students with more
information. Most of the teachers teach mathematics in one
particular way, this will not help all students to learn and
understand maths but when using animation it will give students
to learn with more interest.
One such design model used for learning is " e-learning".
Learning maths online with animation will help students to
learn easily. Researchers have done this mostly at college
level, as for when considered with Kids in school level, it is
still limited. Disadvantage of e-learning must also be known
clearly, it will be for the teachers, for they have to answer and
serve students at all time.
Both the advantage and disadvantages are limited, but
researchers should develop e-learning based on animation
content and implement it in teaching mathematics to improve
the connection between mathematics and students.
II.RESEARCH QUESTION
The research conducted is designed to answer the following
questions:
1. How can we develop e-learning based on animation contents
which could improve the student’s mathematical abilities?
2. How far is the improvement of student’s mathematical
Integrated Intelligent Research (IIR) International Journal of Computing Algorithm
Volume: 03 Issue: 03 December 2014 Pages: 264-266
ISSN: 2278-2397
265
connection after e-learning which is based on animation
content is implemented in teaching learning process?
III.AIM OF THE RESEARCH
This research includes two major areas namely developing e-
learning based on animation content and studying towards the
students achievement especially in mathematical connection
abilities.
IV.HYPOTHESIS
Based on the described issues the hypotheses are namely: E-
learning based on animation content can improve mathematical
connections abilities of students than those with conventional
learning.
V.THEORETICAL FOUNDATION
A. E-learning based on animation content
In accordance with the rapid development of Information and
Communication Technology (ICT), the need for a concept and
a mechanism of learning and teaching (education) based on
ICT becomes inevitable. The concept of e-learning has brought
influence to the process of transforming a normal method of
teaching into digital format. This concept of e-learning is
widely accepted by the world community and the educational
institutions (school, training places and universities). John
Chambers who is the CEO of Cisco Systems company said
that for the next era, the application in education will be a
"killer application" which is very influential. The Department
of Commerce and even the U.S. Department of Education has
joined to declare the Vision of 2020 which related to the
concept of education based on Information Technology (e-
learning).
This section will focus the discussion on the application of
e-learning and its development. How the application of e-
learning should be developed with a balance between user
needs and desires of developers. Explanation will start from
the definition of e-learning, why do we need e-learning, e-
learning history, some analysis of the failure of e-learning
and e-learning development strategy.
The term e-learning contains many different understandings
from various perspectives. One among that definition is by
Hartley: "E-learning is a type of teaching and learning which
enables to deliver teaching materials to students by using
internet, intranet or other computer network media.
LearnFrame.com in glossary of e-learning terms explained a
broader definitions; e-learning is the educational system that
uses electronic application to support learning and teaching with
Internet media, computer network or standalone computer.
Researchers made this program easy for the purpose of study.
Teaching materials also appeared in animations. Thus with the
help of animations that is more interactive, students can
interact with e-learning systems that will help them do
independently and also to work out exercises. E-learning
before was only web-based, which will display on text without
animations and interactive teaching materials.
B. Mathematical Connection
The ability of mathematical connections belongs to the higher-
order of thinking ability. The mathematical connection
means capacity above given information, with a critical
attitude to evaluate something and has a metacognitive
awareness and problem-solving ability. Marzano, et all.,
stated that met cognition is the process by which individuals
utilize their cognition in understanding him/herself, thinking
processes, and control of thinking processes [6]. Suryadi
stated too that metacognitive is important since someone’s
knowledge about the cognitive processes can guide
him/herself in choosing a strategy to improve further
cognitive performance. Meanwhile, Ibrahim and Nur gave an
explanation of the characteristics of the higher-order
thinking, such as: non algorithmic, which means an array of
action that is not fully established earlier, tends to complex,
often produces a lot of solutions, involves consideration and
interpretation, as well as higher mental activity.
Moreover Web and Coxford explained that the higher- order of
thinking involves understanding the mathematical ideas in a
more depth, by examining the data and exploring the idea of
the lines, making conjectures, analogies and generalizations,
logical reasoning, problem solving, communicating in
mathematics, and relating mathematical ideas with other
intellectual activities.
The theory of the higher-order of thinking focuses on the
developmental approach or definitional approach.
Developmental approach assume that there is a way of thinking
from lower forms into higher forms, and students must have
the low-level of thinking first before reaching the higher level
one. Although the definitional approach assume that all
students can engage in the higher-order of thinking, without
going through the stages of students' thinking abilities.
The linkage between the higher-order of thinking with
mathematics described by Romberg in Chair stated that some
aspects of the higher-order of thinking are mathematical
problem solving, mathematical communication, mathematical
reasoning, and mathematical connections. Mathematical
connections or connections in mathematics study the students'
understanding of connecting the mathematical ideas that will
facilitate the ability to formulate and verify conjectures
deductively between topics. The mathematical concept and
procedure developed which are newly can be applied to solve
the other problems in mathematics and other disciplines.
VI.METHOD
This research is intended to develop e-learning based on
animation content for improving student mathematical
connection abilities. The method used is Research and
Development (R&D). The steps taken in the process of this
research leads to a cycle based on the findings of research
studies and then develop a product. Product development based
on preliminary findings of this research was tested in a
situation and then revisions are made from the test results until
finally obtained a product.
The product itself is e-learning based on animation content.
The procedure of this study uses the techniques of research and
development with the following steps: (i) development of
models, which are: preliminary study, planning, content design
and writing, material development, and field testing and
revision of the model.
(ii) Analysis of the e-learning model impact on the student
mathematical connection abilities.
To find out the student’s mathematical connection abilities an
experiment with pretest-posttest control group design was used
to the student. One class was given a treatment with e-learning
Integrated Intelligent Research (IIR) International Journal of Computing Algorithm
Volume: 03 Issue: 03 December 2014 Pages: 264-266
ISSN: 2278-2397
266
based on animation content and the other with conventional
treatment.
The design of the study is:
O1 X1 O2
O1 O2
Note:
O1: Pretest mathematical connection.
O2: Posttest mathematical connection
X1: Mathematics learning with e-learning based on animation
content.
Samples were shown to the students in primary school level;
samples will be based on ICT Tools. The result of the students
before teaching them using animation was observed (i.e.) using
conventional teaching and after teaching the students with
animation content are compared.
VII.FINDINGS
Development of E-Learning based on Animation Content
According to the procedure of this study in developing e-
learning based on animation content is developed.
Preliminary Study
In this phase we analyzed the requirement of development in e-
learning based on Animation content. This includes the
students need, their likes, and their interest.
Planning
The planning for the development of e-learning based on
animations content includes: planning the e-learning menu,
animation contents. All of which were adapted to target
students who will be given e-learning.
Content design and writing
There are several steps that have been done in this phase
include:
a) Applying an effective instructional design.
Time allocations for each learning activity based on content
and learning objectives.
Defining and providing the learning support needs of the
students, and also for teachers.
Testing and final checking
This phase requires steps as the following:
 Knowing what standards should be aimed for
Establishing means by which to measure or test that standards
and usability objective have been achieved. Considering when
to measure, and how information from this will feed back into
the development process to achieve best outcomes most
efficiently.
Class Average result of test
e-learning conventional
Pretest 45 66
Posttest 87 76
Table 1. Average result of Pre and Post Test of Mathematical Connection
Abilities.
No of Observation
addition
subtraction
multiplication
division
Figure1. Is the observation of kids using the addition subtraction
multiplication and division.
Based on the mathematical ability presented in Table1 and
Figure1 the results obtained were that the top most
mathematical ability was the mathematical connection abilities
of students with e-learning. From the result it can be said that
e-learning increased student’s mathematical abilities than the
conventional one and the result also shows that if animation is
more interesting and interactive kids are involved in those type
of animations than the normal and conventional approach.
VIII.CONCLUSIONS & FUTURE ENHANCEMENTS
From the results of the research and discussion, it can be
concluded that: E-Learning based on animation content can be
developed according to the development of systems models,
which are: preliminary study, planning, field testing and
revision of the model.Students with e-learning have a better
result in its mathematical connection ability than students with
conventional learning. Animation content in future will be
developed for even Colleges, Institutions, Universities and etc.
This will help them to have more interest in learning, to work
out problems.
REFERENCES
[1] Dunham, P.H. & Dick, T.P. (1994). Research on Graphing Calculators.
Mathematics Teacher, 87, pp. 440-445
[2] Dubinsky, Ed & Tall , D.(1991).Advanced Mathematical thinking
and the computer. Kluwer: Holland, 23, pp.1-248.
[3] Bitter, G.G. & Hatfield, M. M. (1993). Integration of the math explorer
calculation into the mathematics curriculum: The calculators project
report. Journal of Computers in Mathematics and Science Teaching,
12(1), pp. 59-81.
[4] Ruseffendi, H.E.T. (1988). Pengantar kepada membantu guru
mengembangkan kompetensinya dalam pengajaran matematika untuk
meningkatkan CBSA. Bandung: Tarsito.
[5] Hartley Darin E., (2001) Selling e-Learning, American society for
training and development.
[6] Marzano, R.J., Brandt, R.S., Hughes, C.S., Jones, B.F.,Presseissen,
B.Z., Rankin, S.C., Suhor, C. (1988). Dimensins of thinking: A
framework for curriculum and Instruction. Alexandria, V.A: Association
for Supervision and Curriculum Development.

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Animation to Develop Mathematical Connections in Students

  • 1. Integrated Intelligent Research (IIR) International Journal of Computing Algorithm Volume: 03 Issue: 03 December 2014 Pages: 264-266 ISSN: 2278-2397 264 Animation to Develop Mathematical Connections in Students A.John Pradeep Ebenezer1 , S. Anand Christy2 , A.Banupriya3 1,2,3 St.Joseph’s College of Arts & Science (Autonomous) ,Cuddalore. Email: bobbyebe@gmail.com,logtochristy@gmail.com,banu_2407@yahoo.com Abstract - The main purpose of this paper is to improve mathematical connection in e-learning using animations that will help the students in learning. Animation content is displayed to students. To know the mathematical evaluation abilities in students, pre-test and post-test were administrated before and after teaching and learning process. At last the result was found to be that animation content had significant effect on mathematical connections between students and it has also been helpful to improve mathematical connection than that of normal approach in teaching and learning. Keywords: e-learning, improving, animation content, mathematical connection abilities. I. INTRODUCTION Electronic technology helps students in organizing and analyzing data, it provides all students to calculate in a quick and accurate manner. Computer can be considered as one of the best said example. Dubinsky and Tall stated that computer can be used as a tool to complement advantage mathematical thinking in variety of ways. It is necessary to develop an encourage students in learning and using electronic technology that will help them in their future. This technology will be helpful for both the teachers and students. In the past history and some places, even today math’s is considered to be very annoying, boring and students will be less interested. In this case they will be forced to do learning which will be unpleasant to them. To change this atmosphere, technologies must be used which help teachers in teaching and students in learning. This will be effective for students to recognize themselves in their learning process. Both the teachers and students should be able to utilize the technology in learning and teaching. In association with the development of Information and Communication Technology (ICT), teachers and students should be able to be equal to and utilize the advance of it. Teachers should be able to exploit or utilize the ICT-based media in the learning process. With the rapid development of ICT, there has been a shift in views on learning in and outside the classroom. After the shift in teaching method there are different views on learning in and outside the classroom. Development of computer in mathematics is designed with the requirement that is expected to be much helpful to enhance student’s mastery of mathematics. Technology devices can be used to help students investigate various mathematical phenomenon’s. ICT can also assist students in learning mathematics. All these technologies will help students to go on with different formats that are seen visually and observed. These will help students to easily formulate mathematics. Dunham and Dick stated that if there is proper use of computer technology, students will be able to learn with more interest and will start learning in more profound ways[1]. Furthermore, Dubinsky and Tall stated that computers can also give much- needed meaning to mathematical concepts that students may feel are ‘not of the physical world” but in the mind or in some ideal world [ 2 ] . Advantages of using this computer as a medium of learning is that graphs and pictures used as a visual form will be attractive and can be observed which will help students to study easily. By using computer and animation, difficult boring models, techniques, types and equation in mathematics can be easily studied and captured by the students. Bitter and Hatfield stated that it will be reasonable and efficient that if computer technology will be used to improve quality of learning in mathematics particularly[3].This will help to meet the diversity of student’s ability, as well as under the opportunities to obtain better education. To satisfy the children needs, teachers must try to serve all students. In utilizing the advantage of ICT, it needs to consider diversity of student’s abilities as well as wider opportunities for society to obtain education. To meet the children necessities with various abilities, teachers should try to serve all children well. To meet these expectations, teacher’s role is certainly not easy. Ruseffendi stated that more heterogeneous the students, more difficult to teach. Because of these reasons teachers need to take on extra effort to serve students with more information. Most of the teachers teach mathematics in one particular way, this will not help all students to learn and understand maths but when using animation it will give students to learn with more interest. One such design model used for learning is " e-learning". Learning maths online with animation will help students to learn easily. Researchers have done this mostly at college level, as for when considered with Kids in school level, it is still limited. Disadvantage of e-learning must also be known clearly, it will be for the teachers, for they have to answer and serve students at all time. Both the advantage and disadvantages are limited, but researchers should develop e-learning based on animation content and implement it in teaching mathematics to improve the connection between mathematics and students. II.RESEARCH QUESTION The research conducted is designed to answer the following questions: 1. How can we develop e-learning based on animation contents which could improve the student’s mathematical abilities? 2. How far is the improvement of student’s mathematical
  • 2. Integrated Intelligent Research (IIR) International Journal of Computing Algorithm Volume: 03 Issue: 03 December 2014 Pages: 264-266 ISSN: 2278-2397 265 connection after e-learning which is based on animation content is implemented in teaching learning process? III.AIM OF THE RESEARCH This research includes two major areas namely developing e- learning based on animation content and studying towards the students achievement especially in mathematical connection abilities. IV.HYPOTHESIS Based on the described issues the hypotheses are namely: E- learning based on animation content can improve mathematical connections abilities of students than those with conventional learning. V.THEORETICAL FOUNDATION A. E-learning based on animation content In accordance with the rapid development of Information and Communication Technology (ICT), the need for a concept and a mechanism of learning and teaching (education) based on ICT becomes inevitable. The concept of e-learning has brought influence to the process of transforming a normal method of teaching into digital format. This concept of e-learning is widely accepted by the world community and the educational institutions (school, training places and universities). John Chambers who is the CEO of Cisco Systems company said that for the next era, the application in education will be a "killer application" which is very influential. The Department of Commerce and even the U.S. Department of Education has joined to declare the Vision of 2020 which related to the concept of education based on Information Technology (e- learning). This section will focus the discussion on the application of e-learning and its development. How the application of e- learning should be developed with a balance between user needs and desires of developers. Explanation will start from the definition of e-learning, why do we need e-learning, e- learning history, some analysis of the failure of e-learning and e-learning development strategy. The term e-learning contains many different understandings from various perspectives. One among that definition is by Hartley: "E-learning is a type of teaching and learning which enables to deliver teaching materials to students by using internet, intranet or other computer network media. LearnFrame.com in glossary of e-learning terms explained a broader definitions; e-learning is the educational system that uses electronic application to support learning and teaching with Internet media, computer network or standalone computer. Researchers made this program easy for the purpose of study. Teaching materials also appeared in animations. Thus with the help of animations that is more interactive, students can interact with e-learning systems that will help them do independently and also to work out exercises. E-learning before was only web-based, which will display on text without animations and interactive teaching materials. B. Mathematical Connection The ability of mathematical connections belongs to the higher- order of thinking ability. The mathematical connection means capacity above given information, with a critical attitude to evaluate something and has a metacognitive awareness and problem-solving ability. Marzano, et all., stated that met cognition is the process by which individuals utilize their cognition in understanding him/herself, thinking processes, and control of thinking processes [6]. Suryadi stated too that metacognitive is important since someone’s knowledge about the cognitive processes can guide him/herself in choosing a strategy to improve further cognitive performance. Meanwhile, Ibrahim and Nur gave an explanation of the characteristics of the higher-order thinking, such as: non algorithmic, which means an array of action that is not fully established earlier, tends to complex, often produces a lot of solutions, involves consideration and interpretation, as well as higher mental activity. Moreover Web and Coxford explained that the higher- order of thinking involves understanding the mathematical ideas in a more depth, by examining the data and exploring the idea of the lines, making conjectures, analogies and generalizations, logical reasoning, problem solving, communicating in mathematics, and relating mathematical ideas with other intellectual activities. The theory of the higher-order of thinking focuses on the developmental approach or definitional approach. Developmental approach assume that there is a way of thinking from lower forms into higher forms, and students must have the low-level of thinking first before reaching the higher level one. Although the definitional approach assume that all students can engage in the higher-order of thinking, without going through the stages of students' thinking abilities. The linkage between the higher-order of thinking with mathematics described by Romberg in Chair stated that some aspects of the higher-order of thinking are mathematical problem solving, mathematical communication, mathematical reasoning, and mathematical connections. Mathematical connections or connections in mathematics study the students' understanding of connecting the mathematical ideas that will facilitate the ability to formulate and verify conjectures deductively between topics. The mathematical concept and procedure developed which are newly can be applied to solve the other problems in mathematics and other disciplines. VI.METHOD This research is intended to develop e-learning based on animation content for improving student mathematical connection abilities. The method used is Research and Development (R&D). The steps taken in the process of this research leads to a cycle based on the findings of research studies and then develop a product. Product development based on preliminary findings of this research was tested in a situation and then revisions are made from the test results until finally obtained a product. The product itself is e-learning based on animation content. The procedure of this study uses the techniques of research and development with the following steps: (i) development of models, which are: preliminary study, planning, content design and writing, material development, and field testing and revision of the model. (ii) Analysis of the e-learning model impact on the student mathematical connection abilities. To find out the student’s mathematical connection abilities an experiment with pretest-posttest control group design was used to the student. One class was given a treatment with e-learning
  • 3. Integrated Intelligent Research (IIR) International Journal of Computing Algorithm Volume: 03 Issue: 03 December 2014 Pages: 264-266 ISSN: 2278-2397 266 based on animation content and the other with conventional treatment. The design of the study is: O1 X1 O2 O1 O2 Note: O1: Pretest mathematical connection. O2: Posttest mathematical connection X1: Mathematics learning with e-learning based on animation content. Samples were shown to the students in primary school level; samples will be based on ICT Tools. The result of the students before teaching them using animation was observed (i.e.) using conventional teaching and after teaching the students with animation content are compared. VII.FINDINGS Development of E-Learning based on Animation Content According to the procedure of this study in developing e- learning based on animation content is developed. Preliminary Study In this phase we analyzed the requirement of development in e- learning based on Animation content. This includes the students need, their likes, and their interest. Planning The planning for the development of e-learning based on animations content includes: planning the e-learning menu, animation contents. All of which were adapted to target students who will be given e-learning. Content design and writing There are several steps that have been done in this phase include: a) Applying an effective instructional design. Time allocations for each learning activity based on content and learning objectives. Defining and providing the learning support needs of the students, and also for teachers. Testing and final checking This phase requires steps as the following:  Knowing what standards should be aimed for Establishing means by which to measure or test that standards and usability objective have been achieved. Considering when to measure, and how information from this will feed back into the development process to achieve best outcomes most efficiently. Class Average result of test e-learning conventional Pretest 45 66 Posttest 87 76 Table 1. Average result of Pre and Post Test of Mathematical Connection Abilities. No of Observation addition subtraction multiplication division Figure1. Is the observation of kids using the addition subtraction multiplication and division. Based on the mathematical ability presented in Table1 and Figure1 the results obtained were that the top most mathematical ability was the mathematical connection abilities of students with e-learning. From the result it can be said that e-learning increased student’s mathematical abilities than the conventional one and the result also shows that if animation is more interesting and interactive kids are involved in those type of animations than the normal and conventional approach. VIII.CONCLUSIONS & FUTURE ENHANCEMENTS From the results of the research and discussion, it can be concluded that: E-Learning based on animation content can be developed according to the development of systems models, which are: preliminary study, planning, field testing and revision of the model.Students with e-learning have a better result in its mathematical connection ability than students with conventional learning. Animation content in future will be developed for even Colleges, Institutions, Universities and etc. This will help them to have more interest in learning, to work out problems. REFERENCES [1] Dunham, P.H. & Dick, T.P. (1994). Research on Graphing Calculators. Mathematics Teacher, 87, pp. 440-445 [2] Dubinsky, Ed & Tall , D.(1991).Advanced Mathematical thinking and the computer. Kluwer: Holland, 23, pp.1-248. [3] Bitter, G.G. & Hatfield, M. M. (1993). Integration of the math explorer calculation into the mathematics curriculum: The calculators project report. Journal of Computers in Mathematics and Science Teaching, 12(1), pp. 59-81. [4] Ruseffendi, H.E.T. (1988). Pengantar kepada membantu guru mengembangkan kompetensinya dalam pengajaran matematika untuk meningkatkan CBSA. Bandung: Tarsito. [5] Hartley Darin E., (2001) Selling e-Learning, American society for training and development. [6] Marzano, R.J., Brandt, R.S., Hughes, C.S., Jones, B.F.,Presseissen, B.Z., Rankin, S.C., Suhor, C. (1988). Dimensins of thinking: A framework for curriculum and Instruction. Alexandria, V.A: Association for Supervision and Curriculum Development.