MM: 100 (External 75, Internal 25) Course Overview This course is designed for the prospective secondary school teachers. The course would include developing competencies in secondary level mathematics curriculum, their appropriate instructional strategies, using visual aids, etc.
The course will try to develop among the prospective secondary school teachers:
Understanding of nature of mathematics.
Understanding of historical developments leading to concepts in modern mathematics.
Understanding of learning theories and their applications in mathematics education.
Improve their competencies in secondary level mathematics.
Understanding various instructional strategies and their appropriate use in teaching mathematics at the secondary level.
Understanding preparation and use of diagnostics test and organize remedial teaching.
Application of appropriate evaluation techniques in mathematics.
Unit-I (12 hours)
Introduction to mathematics education
Nature of mathematics (axioms, postulates, patterns and language of Mathematics).
Developing objectives of teaching mathematics in behavioral terms
Integration of Mathematics with other subjects.
Historical developments in mathematics
Historical development of Notations and Number systems
Contributions of Indian Mathematicians (Ramanujan, Aryabhatta, Bhaskaracharya).
Place of mathematics in secondary school curriculum (08 hours)
Critical evaluation of the curriculum in use in Mathematics at the secondary stage.
Qualities of a good Mathematics textbook and its evaluation.
Unit-III (32 hours)
Instructional strategies in teaching mathematics
Inductive, deductive approach.
Analytic and synthetic approach.
Heuristic and project approach.
Organization of teaching strategies in mathematics
Different models of lesson planning.
Annual, term, unit lesson planning
Selecting appropriate instructional strategies related to various topics included in secondary classes of the CBSE in the following areas:
i) Teaching of Arithmetic (Commercial Maths)
ii) Teaching of Algebra (Polynomials, algebraic identities, Linear equations, Quadratic equations)
iii) Teaching of Geometry (Congruent and Similar triangles)
Teaching of Mensuration (Surface areas and volumes of solid figures)
Unit-IV: Technology Integration and Evaluation (12 hours)
Technology Integration: Planning with the iNtegrating Technology for inquiry (NTeQ) model for Mathematics at secondary school level.
Diagnostics test and remedial teaching in Mathematics
Comprehensive and continuous evaluation, need of and importance class tests.
Nature and constructions of diagnostics test.
Boyer, Carl B., (1969): A History of Mathematics; Wiley, New York.
Content cum Methodology of Teaching Mathematics for B.Ed; NCERT New Delhi.
Davis David R., (1960); Teaching of Mathematics Addison Wesley Publications.
Ediger Mariow(2004); Teaching Math Successfully, Discovery Publication.
Gupta H.N. and Shankaran V (Ed.), 1984; Content cum Methodology of Teaching Mathematics, NCERT New Delhi.
Hudgins, Bryce B. (1966); Problem Solving in the classroom, MacMillan, New York.