PEDAGOGY / TEACHING OF MATHEMATICS SYLLABUS

PEDAGOGY / TEACHING OF MATHEMATICS SYLLABUS


PEDAGOGY OF MATHEMATICS B.ED SYLLABUS AND COURSE CONTENT 

pedagogy of math b.ed syllabus and curriculum

 OBJECTIVES AND IMPORTANCE OF STUDYING PEDAGOGY OF MATHEMATICS SUBJECT:

After completion of the course, student teachers will be able to:

1.      explain the meaning, nature, aims, and objectives of mathematics
2.      perform pedagogical analysis of various concepts in mathematics
3.      describe instructional planning and development of relevant material for the teaching of mathematics
4.      use ICT in teaching of mathematics
5.      describe a continuous and comprehensive evaluation, diagnostic testing and remedial teaching in mathematics
6.      explain importance and uses of learning resources in mathematics
7.      improve competences in a secondary level mathematics 

COURSE CONTENT (Syllabus)
UNIT I 
Concept and Aims of Teaching of Mathematics

·        Meaning, scope and nature of mathematics
·        Aims and objectives of teaching mathematics at the secondary stage
·        Framing objectives according to Blooms taxonomy
·        Nature of mathematical propositions, use of quantifiers and Venn diagram
·        A Mathematical theorem and its variants- converse, inverse, and contrapositive, proofs and types of proof.


Historical Perspective of Mathematics

·        History of mathematics with special emphases on the teaching of mathematics
·        Coexistence of precision and beauty in mathematics

UNIT-2 
Development of Curriculum in Mathematics

·        Meaning and objectives of curriculum
·        Principles for designing the curriculum of mathematics at different stages of schooling
·        Recent curriculum reform at the national/ state level at their critical appraisal
·        Content Analysis, Pedagogical Analysis, and their comparison
·        Pedagogical analysis of the following topics of mathematics
o   Equations
o   Sets
o   Volume
o   Trigonometry
o   Ratio and proportion

Methods of Teaching Mathematics

·        Inductive - deductive
·        Analytic – synthetic
·        Problem Solving
·        Heuristic method

UNIT-3 
Learning Resources

·        Importance of summer programs, correspondence courses, mathematics club, contests and fairs
·        Designing mathematics laboratory and its effective use
·        Importance of recreational activities – games, puzzles, and riddles in mathematics
·        Projective and non- projective teaching aids

Instructional and Material Development

·        Writing of lesson plan
·        Micro lesson planning with special reference to following micro-teaching skills of Introduction, the probing question, classroom management, the skill of illustration with examples, skill of reinforcement
·        Preparation and use of audiovisual material and equipment
·        Application of ICT in teaching of mathematics

UNIT-4 
Evaluation in Mathematics

·        Evaluation Tools: Meaning, need and use of diagnostic testing and remedial teaching
·        Continuous and comprehensive evaluation
·        Formative and summative evaluation
·        Criterion and norm reference test

Professional Development of Mathematics Teachers

·        Types of In-service program for mathematics teacher
·        Role of mathematics teachers association, journals and other resource material in mathematics education
·        Professional growth through participation in conference/ seminars/workshop

Tasks & Assignments: Any one of the following

·        Preparation of a unit plan in Mathematics
·        Preparation of lesson plans on two different approaches on a selected content matter
·        Development of learning aids on any topic in Mathematics and procedure for using it.
·        Book review of any two books in Mathematics.
·        Any other task/assignment given by the institution.

SUGGESTED READINGS AND BOOKS FOR PEDAGOGY OF MATHEMATICS:

·        Alen, D.W and Ryan, K.A. (1969). Microteaching, reading. Masschusetts, Falifornia: Addition Wesley.
·        Bloom, B.Se. (1956). Taxonomy of Educational Objectives. Handbook  No.  1,  New  York: Longmans Green.
·        Boyer, C. B. (1968). History of Mathematics. New York: John Wiley.
·        Butler, C.H. and Wren, K.H. (1980). The teaching of secondary mathematics.  New  York: McGraw-Hill Book Company.
·        Bush, R.N. (1968). Microteaching- Control practice in the training to teachers in communication, Opp. 201-207.
·        Dave, R.H.  and  Saxena,  R.C.  (1970).  Curriculum  &  Teaching  of  Maths  in  Secondary Schools. A Research Monograph, Delhi: NCERT
·        Davis, D.R. (1951). The teaching of Mathematics. London: Addison Wesclyh Press.
·        Kulshrestha, A.K. (2007). The teaching of Mathematics. Meerut: R.Lal Book Depot.
·        Mangal, S.K. (2007). The teaching of Mathematics, New Delhi: Arya Book Depot.
·        Shankaran and Gupta, H.N. (1984). Content- cum – Methodology of teaching Mathematics. New Delhi: NCERT.

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