Pedagogy of Mathematics

Pedagogy of Mathematics

1. Foundations of Mathematics

a) Nature of Mathematics- Meaning, its dimension (the historical, scientific, aesthetic, recreational ) and history of mathematics with special emphasis on Indian Mathematics

b) Learning of Mathematics- Constructionists perspectives of teaching Mathematics emphasizing Piaget and Vygotsky, critical and realistic Mathematics education

c) Curriculum reform in Mathematics – Critical appraisal of NCF- 2005, BCF 2008 in the context of Mathematics teaching, Need for standards for school Mathematics

d) Contextual Issues- Learning Mathematics without burden,developing democracy and equity through Mathematics, Child mathematician , developing scientific attitude

2. Organizing Teaching-Learning in Mathematics

a) A Mathematics teacher

b) Understanding of classroom communication

c) Planning for teaching-learning in Mathematics- analysis of aim and general objectives of teaching Mathematics vis-à-vis the objectives of secondary education, lesson and unit plans

d) Critical understanding of Mathematics curriculum , syllabus and textbook

3. Strategies for learning subject matter content in Mathematics

a) Paradigm shift in teaching-learning of the subject viz. constructivist approach

b) Critical understanding of various strategies in teaching –Learning by exposition, Learning by discovery, inductive-deductive, guided discovery, cognitive apprenticeship, learning by scaffolding

c) Teaching problem-solving in Mathematics-definition of problem, posing a problem, generating problem, modelling and model for problem solving, exploring various options for solving the problem i.e. developing heuristics approach

d) Learning in Groups- Cooperative and collaborative learning, addressing needs of heterogenous classroom

4. Assessment of and for learning in Mathematics

a) Issues in assessment in Mathematics

b) Shifting Trends in assessment in Mathematics

c) Construction of test design and subject question paper along with marking scheme

d) Diagnosing basic causes of difficulties in learning of Mathematics -concept, generalizations, problem-solving and proof

e) Planning remedial teaching strategies based on the perceived causes, implementing and evaluating the strategies

Sessional Work

• Assignment(select any two of the following)

(Concerned teacher can devise assignment as per requirement of the course)

1. Designing learning activities, appropriate strategies, selecting/preparing learning resources; assessment techniques and tools, etc.

2. Analysis of unit/chapter in subject textbook to identify the concepts, principles and processes and to understand the underlying the subject structures

3. Analysis of subject textbook of the concerned class taught by the pupil-teacher (content, exercises, activities, activities, activities and overall presentation of the book)

4. Critical analysis of teaching skills and strategies used in a lesson taught in a class or lesson plan in a nearby school

5. Identification of learning difficulties experienced by students in a lesson and evaluation of the diagnostic and remedial strategies adopted by the teacher in a nearby school