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10

Author: Parth

Book Code: OBM/19/11/82233

Publisher: Parth Publishers

University: Maharaja Ganga Singh University (MGSU)

Pedagogy of Mathematics
** Pedagogy of Mathematics **

This One Week Series is Written in English Language in Question Answer Series According to syllabus of Rajasthan University.

**UNIT I Nature and Structure of Mathematics**

a) Meaning and characteristics of mathematics Science and Mathematics

Development of Mathematics: empirical, intuitive and logical

b) History of Mathematics education: Ancient period to 21st century

c) Contributions of eminent Mathematicians Western &Indian 4 each)

d) Branches of Mathematics: Arithmetic, Algebra, Geometry, Trigonometry –

e) Undefined terms - Axices - Postulates - Theorems - Proofs and

verification in mathematics-Types of theorems: Existence and Uniqueness theorems - Types of proofs: Direct, indirect by contradiction, by exhaustion, by mathematical induction

f) Euclidean geometry and its criticisms - emergence of bon Euclidean

Geometry

**UNIT-II Objectives and Approaches of Teaching Mathematics **

a) Aims and Objectives of Teaching Mathematics: At primary, Secondary and Higher secondary levels - Goals of mathematics education Mathematical skills: Calculations, Geometrical, and interpreting graphs – Mathematical abilities Problem solving ability.

b) Approaches to teaching Mathematics: Behaviorist approach, constructivist Process Oriented approach, competency based approach, Realistic mathematics education.

**UNIT-III METHODS AND MODEL OF TEACHING MATHEMATICS: **

a) Methods of teaching mathematics: Lecture, Inductive, Deductive, Analytic, Synthetic, Heuristic, Project, Problem solving, and Laboratory methods, Co-Operative, constructivism method.

b) Techniques of Teaching Mathematics: Questioning. Brainstorming Role-playing Simulation

c) Non-formal techniques of learning Mathematics

d) Models of Teaching: Concept attainment model, inquiry training model, Inductive thinking model

**UNIT - IV Pedagogical content knowledge of mathematics**

a) Concept of Pedagogical content knowledge

b) Pedagogic content knowledge analysis for selected units of 8th, 9th , 10^{th} and 11th std.-Content analysis, Listing prerequisites, instructional objectives and task analysis

c) Analyzing and selecting suitable teaching methods, strategies, techniques, model: limning activities, lesson plan in mathematics-their need and importance

d) Analyzing and selecting suitable evaluation strategies

e) Identifying the misconceptions and appropriate remedial strategies

**UNIT-V Technology in mathematics education **

a) Technology integration strategies for mathematics, web based lessons, web quest, cyber guides, multimedia presentation, Tele computing projects,

Online discussions

b) E-content development concept formats, steps for preparation

c) A survey of software used in mathematics teaching and learning

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