Understand the importance and objectives of teaching mathematics. 🧮
Understand the nature of mathematics. 🔢
Know about the contribution of mathematicians. 📏
Understand the pedagogical analysis of different topics. 📊
📘 Syllabus
SECTION – A
Nature of Mathematics: Meaning, nature, importance, and value of mathematics; Axioms, postulates, assumptions, and hypothesis in mathematics; Historical development of notations and hypothesis in mathematics; Contribution to mathematics (Ramanujam, Aryabhatta, Bhaskaracharya, Euclid, Pythagoras). 🔢
SECTION – B
Objectives: Aims and objectives of teaching mathematics in elementary and secondary schools; Bloom’s taxonomy of educational objectives and writing objectives in behavioural terms. 🔍
Pedagogical Analysis: meaning and need and procedure for continuing pedagogical analysis. Classification of content, objective activity and experiment, evaluation, etc. Arithmetic (Number systems, Fractions, Ratio and proportion, profit and Loss, simple and compound Interest). Algebra (Polynomials, Linear equations, Quadratic equations Arithmetic Progressions), Geometry (Congruent and Similar triangles, Constructions and Circles), Trigonometry (ratios, Heights and distances), Statistics (Measures of Central Tendency and Graphical Representation of Data). 📚
Activities (Any one of the following)
Teaching aid from the 3-dimensional aspects. 📐
Creative way of teaching mathematics at the elementary level. ✨
Preparing a question bank for mathematics. 📝
📚 Books Recommended
Aggarwal,A.M. (1997). Teaching of Modern Mathematics. New Delhi: Dhanpat Rai Publishing Co. 📘
Banga, Chaman Lal (2012). Teaching of Mathematics New Delhi; Shipra. 📗
Butler H., Charles, W& Lynwood, F(1951). The Teaching of Secondary School Mathematics New York: McGraw Hill. 📕
Bloom, B.S.(1956). Taxonomy of Educational objectives: the classification of educational goals (is ted.) Hew York: Longmans Green. 📙
Chambers, Paul(2010). Teaching mathematics- Developing as a Reflective Secondary Teacher. New Delhi: SAGE. 📓