Bachelor of Physical Education (B.P.Ed.) Methodology of Teaching Mathematics Syllabus - Mumbai University 2026

This is the First Year BPEd syllabus under the University of Mumbai’s Credit Based Semester and Grading System, in force from the academic year 2015-16. It is the syllabus currently examined: the University set this course on it in the Winter 2025 and Summer 2026 examinations. Its own timetables head them “B.P.Ed. (CBSGS) (2 Years Course)”, and it has published no revision.

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Syllabus for Methodology of Teaching Mathematics

Semester 1 · First Year BPEd · 60 hours

The University prints this paper as “Methodology of Teaching – Mathematics Method”.

Objectives

To develop an understanding of the nature and values of mathematics.
To acquire knowledge of pedagogical analysis of various concepts in mathematics.
To understand the various methods and techniques of teaching mathematics.
To develop required competencies in teaching of mathematics.
To develop the skill of conducting recreational activities of mathematics.

Module 1: Nature of Mathematics 12 hours

a) Meaning and Nature of Mathematics
b) Branches of Mathematics (Pure and Applied), Nature of Mathematical Statements — Axioms and Postulates, Language of Maths, Logic, Intuition, Induction, and Deduction.
c) Values of teaching Mathematics in Curriculum and in Life
d) Correlation of Mathematics - Internal and External. [External Subjects- Language, Science, History, Geography, Economics, Commerce, Drawing Music]
e) Concept of Vedic Mathematics
f) Contributions of Mathematicians-Aryabhatta, Euclid and Ramanujan

Module 2: Pedagogical Analysis (in Relation to Core Elements As Given in Npe 1986) 12 hours

a) Unit Analysis
b) Instructional Objectives and Specifications.
c) Activities and Procedures
d) Evaluation Techniques (Compulsory practical work. No theory questions to be asked in the examination.)

Module 3: Methods and Approaches to Teaching of Mathematics 12 hours

a) Maxims of teaching Mathematics
- i) From Known to Unknown
- ii) From Simple to Complex
- iii) From Particular to General
- iv) From Concrete to Abstract
- v) From Whole to Part
b) Methods of teaching Mathematics
- i) Inductive — Deductive
- ii) Analytic — Synthetic
- iii) Lecture cum Demonstration
- iv) Problem Solving
- v) Laboratory
c) Techniques of teaching Mathematics
- i) Assignments
- ii) Drill work - Oral and Written
- iii) Cooperative Learning
d) Support Technology
- i) 2 D: Charts, Boards (all types), Cutouts, Pictures, Graphs.
- ii) 3D: Models, Objects, and Abacus
- iii) Electronic mode: Calculators — When and How to Use Calculators in Mathematics. Internet — Teaching and Learning of Mathematics

Module 4: Curriculum and Textbook of Mathematics 12 hours

a) Approaches to Curriculum Construction- Topical and Concentric.
b) Qualities of a good Mathematics Text Book.

Module 5: Strategies for Individual Differences and) Co- Curricular Activities in Mathematics 12 hours

a) Diagnostic Testing and Remedial Teaching for Learners with Dyscalculia
b) Difficulties Faced by the Teacher in Teaching of Mathematics and Suggestive Measures to overcome them.
c) Importance and Organization of Mathematics Club. (Objectives and Structure)
d) Recreational Activities of Mathematics Club:
- i) Mathematics Fairs;
- ii) Games
- iii) Visits
- iv) Talks SUGGESTED ACTIVITY: (12 Hours) Critical Evaluation of Mathematics Textbook (V to XII) [For any syllabus i.e. Maharashtra State Board, ICSE, CBSE, IB, IGCSE] Note: Only for practical not to be evaluated in examinations.

References

Brueckner, L.J. et al : Developing Mathematical Understanding in the Upper grades.
Ediger, Marlow & Rao, Digumarti Bhaskara : Teaching Mathematics Successfully, New Delhi, Discovery, 2000.
Flynn, Meredith & Rutkosky, Nita H. : Advanced Microsoft office 2000, BPB publication. New Delhi, 2000.
Gupta,Vikas : Comdex computer course –kit , Dreamtech, New Delhi, 2001.
Haggarty,Linda : New Idas for Teacher Education : A Mathmatics Framework, London cassell, 1995
Hergert, Douglas A. : Excel for Windows’ 95 Instant Reference, Sybex Incorporated. 1992.
Hillman, David : Multimedia Technology and Applications, Delmar Publishers. New York,1998.
Intel Teach to the Future, National Centre for Software Technology, Mumbai.
James, E.L. & Narasimahachari, R. : Teaching of Mathematics in Secondary schools.
Mangal, S.K. : A Text Book on Teaching Mathematics, Ludhiana : Tondon, Prakash Brothers.
Merrill, Paul F., Hammomns, Talman, Christensen, Vincient : Computers in Education.
Nagpal, D.P. : Computer Fundamentals, Wheeler publishing, New Delhi, 2001.
Phadke, Moghe : Notes for computer course , Vol. I, II, III & IV, Utility Creations, Pune.
Rathbone, Andy : Windows for Dummies , IInd ed. ,Comdex Computer Publications, New Delhi, 1997.
Sanders, Donald H. : Computers Today, McGraw Hill Book Co., New York, 1988.
Siddhu, Kulbir Singh : The Teaching of Mathematics, New Delhi, Sterling, 1995.
Sinha, P.K. : Computer Fundamentals: Concepts, Systems and Applications, BPB publications, New Delhi, 1992.

Cut from the University of Mumbai syllabus for B.P.Ed. (Bachelor of Physical Education, Two Year Course) under the Credit Based Semester and Grading System, in force from the academic year 2015-16. Wording is as printed in that syllabus, and module and teaching-point numbering is as printed there too.

The complete syllabus

This subject is cut from the University’s syllabus for the whole degree. Open the document here if you want the whole thing rather than a single subject.

PDF B.P.Ed. Two Year Syllabus (2015-16) Credit Based Semester and Grading System Credit Based Semester and Grading System, in force from 2015-16 Read full PDF Read

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