FIRST SEMESTER B.ED
PEDAGOGY OF MATHEMATICS
Unit-1: Meaning, Nature, and Scope of Mathematics
1.1 Meaning, Nature, and scope of mathematics.
1.2 History of Mathematics with special emphasis on teaching of mathematics.
1.3 Contributions of Indian Mathematicians a) Aryabhatta b) Brahmagupta c)Varahamihira d) Bhaskaracharya e) Srinivasa Ramanujan.
1.4 Contributions of Western Mathematicians a) Euclid b) Pythagoras c)
Renedescarte d) Geroge Cantor.
1.5 Correlation of Mathematics with other school subjects and with other branches of mathematics.
Unit-2: Aims and objectives of Teaching Mathematics
2.1 Need for establishing general objectives for teaching mathematics.
2.2 Aims, Values and general objectives of teaching mathematics.
2.3 Specific objectives and teaching points of various content areas in different branches of secondary school mathematics.
2.4 Recommendations of various Educational Committees and Commissions as regards to Aims and Objectives of Teaching Mathematics.
2.5 Meaning and Concept of Academic Standards of CCE.
2.6 Linking Blooms Taxonomy with Academic Stands.
Unit-3: Methods Approaches and Strategies in Teaching and Learning of Mathematical Concepts
3.1 Nature of Concepts, types of Concepts, Concept Formation and concept assimilation; distinguishing and stating necessary and sufficient conditions in the process of teaching concepts. Comparing and contrasting. Giving counter example and non example in teaching concepts. Planning and implementation strategies in teaching concepts.
3.2 Creating awareness among student teachers on various concepts of Arithmetic,Algebra, Geometry, Trigonometry and Probability and Statistics from classics VI toX.
3.3 Methods of Teaching Mathematics: Inductive and Deductive : Analytic and Synthetic: Laboratory. Heuristic, Project Method and Activity Based Teaching.
3.4 Problem solving- Stages and Steps in problem solving; Discovering or Exploring various options for solving a given problem in Algebra, Arithmetic,Geometry, Trigonometry, Probability and Statistics.
3.5 Concept Attainment Model of Jerome Bruner.
Unit-4: Planning for Teaching – Learning Mathematics
4.1 Micro teaching: Concept, Definition, Micro teaching cycle, Components of Micro teaching, Merits and Limitations.
4.2 Micro teaching Skills: Introducing a lesson, Explaining a Concept, Stimulus Variation, Illustrating with Examples, Probing Questioning, Reinforcement, Structuring Classroom Questions, and Blackboard writing.
4.3 Planning of Instruction: Unit plan, Period plan based on Blooms Taxonomy and academic standards.
4.4 Technology Integrated Lesson-Planning the Lesson by digital technology.
Unit-5: Learning Resources in Mathematics
5.1 Mathematics Text Book – Importance and Criteria of good Mathematics textbook.
5.2 A Critical Analysis of existing Secondary School Mathematics Text Books.
5.3 Audio, Visual and Multimedia resources – Selection and designing.
5.4 On line Resources – ICT based Pedagogical tools.
5.5 Using community resources for mathematics learning. Visits, mathematical field trips and excursions.
5.6 Handling hurdles in utilizing resources.