COURSE SUMMARY
Course Title:
Pedagogy of Mathematics
Course Code:
18EDU302
Year Taught:
2019
Semester:
5
Degree:
Integrated Degree
School:
School of Arts and Sciences
Campus:
Mysuru

'Pedagogy of Mathematics' is a course offered in the fifth semester of Integrated B.Sc. - B.Ed. in Physics, Chemistry, Mathematics program at the School of Arts and Sciences, Amrita Vishwa Vidyapeetham, Mysuru campus.

#### Scope and Objectives

On completion of the course, the student teacher will;

• Acquire the knowledge of
• Nature and scope of mathematics.
• History of mathematics.
• Values and objectives of teaching mathematics.
• Content categories of mathematics.
• Approaches and methods of teaching of mathematics.
• Develop Skill of
• Preparing lesson plan and unit lesson plan and year plan.
• Critically analyze current mathematics text books.
• Appreciate
• The role of mathematics in daily life.
• Contribution of Indians, Greeks and Arabs to mathematics.
• Structure of mathematics.

#### Syllabus

Unit I: Introduction

1. Numbersystem, Set, Progression of numbers, Profit and Loss, Banking, Statistics.
2. Introduction to Algebra, Exponents, Factorisation, HCF and LCM, Simultaneous, Linear Equations, Variations.
3. Introduction to Geometry, Triangles, Polygons, Quadrilaterals, Circles, Basic concepts of Trigonometry.

Unit II: Introduction to Teaching of Mathematics

1. Nature of Mathematics.
2. Mathematics as a language.
3. Use of Mathematics in daily life and other branches of study.
4. Contribution of Indians, Greeks and Arabsto Mathematics.
5. Value of History of Mathematics to a mathematics Teacher.
6. Values of Teaching Mathematics.

Unit III: Planning for Teaching Mathematics

1. General Objectives of Teaching Mathematics at the Secondary School Level.
2. Writing Instructional Objectives in Mathematics.
3. Preparation of Year Plan, Unit Plan and Lesson Plan (Constructivist Approach).
4. Content categories in Mathematics- : Concept and Facts.
5. Content analysis of secondary school mathematics curriculum.

Unit IV: Approaches for Teaching Mathematics​​​​​​​

1. Teaching of Concepts- Concept Attainment Model.
2. Teaching of Generalizations-Inductive and deductive approaches.
3. Problem Solving Approach.

Unit V: Resources for Teaching Mathematics​​​​​​​

1. Printed Resources- Text books, Work books and Resource unit.
2. Audio –Visual Resources & Computers.
3. Websites related to Mathematics Education.

#### Textbook / References

1. Brian, Bolt (2005) 101-Projects in Mathematics, London, Cambridge University Press.
2. Burger, Edward B. &Star bird, Michael (1999) The Heart of Mathematics, California, Key College Publishers.
3. Butler & Wren (1965) the Teaching of Secondary Mathematics London, MC Graw Hill bookcompany.
4. Cooney T. J. et al. (1975) Dynamics of Teaching Secondary School Mathematics, Boston, Houghton Mifflin.
5. Eves, Howard (1962) An Introduction to the History of Mathematics, New York, Holt Rinehart and Winston Inc.
6. Joyce, Bruce and Marsha Weil, (2000), Models of Teaching (4thEdn.), New Delhi: Prentice hall Inc.
7. NCERT (1984) Content cum Methodology of Teaching Mathematics, New Delhi.
8. NCERT (2000) National Curriculum Frame Work for School Education, New Delhi.
9. NCERT (2005) National Curriculum Frame Work, New Delhi.
10. NCTM (1971) Evaluation in Mathematics. New York. NCTM.
11. Polya, G, (1965), Mathematical Discovery Vol I & II, New York, John Wiley and Sons.
12. Polya, G, (1985), How to Solve it, New Delhi, Prentice Hall, Private Ltd.
13. Scopes, (1973) Mathematics in Secondary Schools Cambridge University Press.
14. Servais, W and Varga T (Eds) (1971) Teaching School Mathematics, Harmondsworth, PenguinBooks (UNESCO).
15. Sidhu K.S. (2002) The Teaching of Mathematics, Bangalore, Sterling Publisher (Pvt.) Limited.
16. Sudhir Kumar, (2002) Teaching of Mathematics, New Delhi, Anmol Publications Private Limited.

#### Practicals

1. Contribution to Indians and others to Mathematics.
2. Values of Teaching Mathematics.
3. Content categories in Mathematics.
4. Methods of teaching- steps and importance.
5. Resources for teaching mathematics.
6. Logical thinking in mathematics.
7. Formulating instructional objectives.
8. Preparation of unit plan and lesson plan.
9. Content analysis of the topics from state mathematics 8th and 9th text books.
10. Text book analysis- comparative study.
11. Developing workbooks.
12. Developing learning aids/transparencies.