The document discusses key topics in mathematics pedagogy for CTET exams, including:
- Defining pedagogy and mathematics.
- The nature of mathematics as both a science of discovery and logical processes.
- Guiding principles and vision for mathematics in the NCF-2005 curriculum.
- Strategies for teaching mathematics like written work, oral work, group work and homework.
- Reasons for keeping mathematics in school curriculums like its basis in other sciences and role in developing logical thinking.
- The language of mathematics including concepts, terminology, symbols and algorithms.
- Approaches like community mathematics and mathematical communication to engage students.
while practicing for ctet I came across some word which i didn't find in syllabus. so in this PPT I am discussing all those key words. wish it will help you in your studies. if you find any other words which I this PPt doesn't contain then plz let me know I will definitely try to find out.
MATHEMATICS and How to Develop Interest in Maths?Shahaziya Ummer
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Meaning of Mathematics, Definition of Mathematics, Nature of mathematics, Need and significance of learning Mathematics, How to develop and maintain interest in mathematics?,
while practicing for ctet I came across some word which i didn't find in syllabus. so in this PPT I am discussing all those key words. wish it will help you in your studies. if you find any other words which I this PPt doesn't contain then plz let me know I will definitely try to find out.
MATHEMATICS and How to Develop Interest in Maths?Shahaziya Ummer
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Meaning of Mathematics, Definition of Mathematics, Nature of mathematics, Need and significance of learning Mathematics, How to develop and maintain interest in mathematics?,
Teacher Effectiveness Impacts Student Success in PreK and Kindergarten MathETA hand2mind
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Core PD 'Where's the Math?' course on early childhood math professional development, by Juanita V. Copley, Ph.D., focuses on equipping teachers with the content knowledge and instructional strategies to ensure that young children encounter good mathematics instruction in their early years of schooling.
Teacher Effectiveness Impacts Student Success in PreK and Kindergarten MathETA hand2mind
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Core PD 'Where's the Math?' course on early childhood math professional development, by Juanita V. Copley, Ph.D., focuses on equipping teachers with the content knowledge and instructional strategies to ensure that young children encounter good mathematics instruction in their early years of schooling.
A Beginner's Guide for Teaching MathematicsAslam Bagdadi
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This deals with the nature of mathematics, methods and strategies for teaching learners including the use of technology. It is also discusses how math curriculum can be used to measure intelligence.
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a presentation during an interview for recruitment as a mathematic teacher.this presentation define how to communicate passion about mathematics to some reluctant student or adult learners who have got difficulties to have a good grade in previous class
Learning Objectives
After going through this module the teachers will know about the transactional strategies including the assessment part that can be adopted to engage the children in learning. They will be able to
relate the competencies and skills as given in the Learning outcomes with the state syllabus
conduct appropriate pedagogical processes to help children in achieving the class level learning outcomes
integrate assessment with pedagogical processes to continuously ensure the progress in learning by all children
EFFECTIVENESS OF SINGAPORE MATH STRATEGIES IN LEARNING MATHEMATICS AMONG FOUR...Thiyagu K
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The Singapore math method is child-focused, and seeks to make sure that the student gains a full and complete understanding of the fundamental mathematical concepts, rather than merely memorizes a rote collection of facts. This approach not merely enhances mathematical learning; it also offers a firm foundation from which broader mathematical principles can be extrapolated. The present study tries to find out the effectiveness of Singapore math strategies in learning mathematics among fourth standard students. Two equivalent group experimental-designs are employed for this study. The investigator has chosen 64 Fourth standard students for the study. According to the scoring of pre-test, 32 students were chosen as control group and 32 students were chosen as experimental group. Finally the investigator concludes; (a) the experimental group student is better than control group students in their gain scores. (b) There is no significant difference between control group and experimental group students in their pre test scores and post test. (c)There is significant difference between control group and experimental group students in the scores of posttest attainment of knowledge, understanding and application objectives.
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Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
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Andreas Schleicher presents at the OECD webinar âDigital devices in schools: detrimental distraction or secret to success?â on 27 May 2024. The presentation was based on findings from PISA 2022 results and the webinar helped launch the PISA in Focus âManaging screen time: How to protect and equip students against distractionâ https://www.oecd-ilibrary.org/education/managing-screen-time_7c225af4-en and the OECD Education Policy Perspective âStudents, digital devices and successâ can be found here - https://oe.cd/il/5yV
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We all have good and bad thoughts from time to time and situation to situation. We are bombarded daily with spiraling thoughts(both negative and positive) creating all-consuming feel , making us difficult to manage with associated suffering. Good thoughts are like our Mob Signal (Positive thought) amidst noise(negative thought) in the atmosphere. Negative thoughts like noise outweigh positive thoughts. These thoughts often create unwanted confusion, trouble, stress and frustration in our mind as well as chaos in our physical world. Negative thoughts are also known as âdistorted thinkingâ.
2. CTET Mathematics include two important topics, CONTENT and
PEDAGOGY. Both topic are of 15 marks each.
In this video we will understand Mathematics Pedagogy. At
the end of this video we will be able to
understand following topics:
Nature of Mathematics,
Place in Curriculum
Problems in teaching
Error Analysis
Diagnostic & Remedial Teaching
Now letâs start our topic, Mathematics Pedagogy.
3. Mathematics Pedagogy
First, lets understand both the term separately.
⢠What is Pedagogy:- Pedagogy is an art and science (and
may be even craft) of Teaching. A good way of exploring
pedagogy is as the process of accompanying learners;
caring for and about them; and bringing learning into
life.
⢠What is Mathematics:- Mathematics has no specific
Definition. Some define Mathematics as a Science of
calculation, some as a Science of Space and Number
and some as a Science of Measurement, Magnitude
and Direction. The meaning of the world Mathematics
is âThe Science in which Calculation are Primeâ.
4. Nature of Mathematics
Nature of
Mathematics
A Science
of
Discovery An
Intellectual
Game
The Art of
Drawing
Conclusion
A Tool
Subject
A System
of Logical
Processes
An
Intuitive
Method
Mathematics relies on both logic and creativity, and it is pursued both for a variety of
practical purposes and for its intrinsic interest. For some people, and not only professional
mathematicians, the essence of mathematics lies in its beauty and its intellectual challenge.
5. NCF-2005 Mathematics
Guiding Principles of NCFâ2005
⢠Connecting knowledge to life outside the school.
⢠Ensuring that learning is shifted away from the rote methods.
⢠Enriching the curriculum to provide for overall development of children rather than remain textbook
centric.
⢠Making examination more flexible and integrated into classroom life.
For Mathematics Vision of school Mathematics has been laid in NCF-2005 as follows:
- Children learn to enjoy Mathematics rather than fear it.
- Connecting knowledge to life outside the school.
- Ensuring that learning is shifted away from the rote methods.
- Enriching the curriculum to provide for overall development of children rather than remain textbook
centric.
- Making examination more flexible and integrated into classroom life.
- Children learn important Mathematics: Mathematics is more than formulas and mechanical procedures. â
- Children see Mathematics as something to talk about, to communicate through, to discuss among them, to
work together on.
- Children pose and solve meaningful problems.
- Children use abstractions to perceive relation-ships, to see structures, to reason out things, to argue the
truth or falsity of statements.
- Children understand the basic structure of Mathematics: Arithmetic, Algebra, Geometry and Trigonometry,
the basic content areas of school Mathematics, all offer a methodology for abstraction, structuration
and generalization.
- Teachers engage every child in class with the conviction that everyone can learn Mathematics.
6. Strategies of Teaching Mathematics
Strategies
of
Teaching
Math
Written
Work
Oral
Work
Group
Work
Homework/
Home
Assignment
Supervised
Study
7. ⢠Written Work:- in order to attain precision and accuracy,
written work is essential in Mathematics. Oral and written
work in mathematics are combined to make the process
of instruction complete.
⢠Oral Work:- in mathematics, oral work is not only
interesting but may be effective especially in the initial
stages. An appeal to the eye and ear is more effective
than written work. Oral work helps us in mental
calculation. It gives a quick and easy start to the process
of learning.
⢠Group work:- in this teacher teaches by activities,
projects, assignments or practical work. Group work is
needed to consider, examine and investigate various
aspects of a question, topic or problem and for doing
homework.
8. ⢠Home Assignment/ Homework:- homework in
mathematics may consist of some problems based on
facts taught in the classroom. Homework should be
assessed as a part of internal assessment and proper
weightage should be given.
⢠Supervised Study:- it introduces the regularity in work
and ensures sustained progress. In this technique both
the teacher and child remain active. It is the teaching of
understanding level.
Steps for Supervised Study
- Introduction/ preparation for their study.
- Instruction for the study
- Supervision by the teacher.
- Development of blackboard summary.
9. Reason for Keeping Mathematics in
School Curriculum
⢠Mathematics is the basis of all Science
The different branches of science likewise Physics, Chemistry,
Astronomy, Biology, Medical Science, Geology, Astrology etc are the
important subjects which are based on mathematics, e.g., area,
volume, weight, density, number of atom and electrons, medicines
all are related to mathematical study.
⢠Mathematics is Related to Human Life
Right from getting up in morning till going to bed, we need the help of
mathematics. Even our body and organs are connected to
mathematics. For planning, purchasing, each and every aspect
involves the use mathematics.
10. ⢠Mathematics Generates Logical Attitude
In order to solve a mathematical problem, a child has to think
logically. Every step is related to other step on the basis of some
logic with which child develops his mental abilities and it further
effects his intellectual development.
⢠Mathematics Provide a Definite Way of Thinking
The children who study mathematics develop their attitude with
which they learn to work systematically, regularly and properly.
Along with this, it also develops a logical thinking in them.
⢠Mathematics is an Exact Science
Mathematical sciences is a group of areas of study that includes, in
addition to mathematics, those academic disciplines that are
primarily mathematical in nature but may not be universally
considered subfields of mathematics proper.
Statistics, for example, is mathematical in its methods but grew out of scientific
observations which merged with inverse probability.
11. Language of Mathematics
The language of mathematics is the system used by mathematicians
to communicate mathematical ideas among themselves. This
language consists of a substrate of some natural language (for
example English) using technical terms and grammatical
conventions that are peculiar to mathematical discourse,
supplemented by a highly specialized symbolic notation
for mathematical formulas.
Like any language, it is made up of Concepts, Terminology, Symbols,
Algorithms and Syntax which is peculiar to it.
Mathematics as a Language
Mathematics is itself a language with its own symbols, words and rules
of syntax. It is based on a certain consistent set of assumption and
built up from there according to the rules of logic.
12. Community Mathematics
The subject of Mathematics can be understood in an efficient way
through the communication in the community of teachers and
student. A particular class are divided into a number of small group
and then allowed to create different solutions to a lesson problem
and after that present their solutions to their classmates. Thus, by
choosing Mathematics tasks and problems evoking significant
Mathematics and prompts students to discuss their mathematical
thinking, the studentâs mathematical communication can be
established.
⢠Mathematical Communication
Mathematical Communication is a developing collection of resources
for engaging students in writing and speaking about mathematics,
whether for the purpose of learning mathematics or of learning to
communicate as mathematicians.
13. Mathematical communication is similar to all other forms of
communication â the aim is to effectively convey an idea. Ask
yourself: what is the basic message you want to send? Aspire to
share these mathematical ideas in a way that instils understanding,
engagement and curiosity within your audience.
Mathematical communication is a two-way process
Audience participation and feedback is desirable and should be
encouraged. This enables the audience to contribute to â and to
view themselves as part of â the communication process.
Communication is an essential piece in the learning process â it
provides students an opportunity to justify their reasoning or
formulate a question, leading to gained insights about their
thinking. In order to communicate their thinking to others,
students must be given authentic tasks to reflect on. Through
cooperative learning, students can learn from the perspectives and
mathematical processes of others. Further, they can learn to
evaluate the thinking of others, building on those ideas for their
own assessment.