Pedagogy of Mathematics | BEd Free Study Material | Download BEd Books

Pedagogy of Mathematics | BEd Free Study Material | Download BEd Books 

 

CONTENTS

Unit- I: Aims, Objectives and Values of Teaching Mathematics
♦ Definition of Mathematics
♦ Meaning of mathematics
♦ Brief History of Mathematics
♦ Nature and Characteristics of Mathematics
♦ Mathematics and its relationship with other subjects
♦ Values of Mathematics
♦ Need and importance of objective-based teaching of Mathematics
–  Aims in teaching mathematics
–  Stating Instructional Objectives
–  General instructional objectives

Unit – II: Planning and Implementation of Instruction:
♦ Meaning of microteaching
–   Definitions
–   Origin
♦ Advantages of micro teaching
♦ Drawbacks (limitations) of micro teaching
♦ Phases of Micro Teaching
♦ Steps in Micro Teaching
♦ Teaching Skills
–   Some Teaching Skills
–   Skill of stimulus variation
–   Skill of reinforcement
–   Skill of probing questions
–   Skill of using Black Board
–   Skill of Demonstration
–   Need for link lesson in micro teaching
♦ Macro planning involves the following
–   Unit Plan
–   Principles for Good Lesson Planning
♦ Lesson Plan
♦ Conclusion

Unit – III: Strategies of Teaching Mathematics:
♦ Mathematics Teaching
♦ Concept and meaning of Approaches
♦ Methods and Techniques
♦ Approaches (Constructivist, Discovery)
–    Constructivist Approach
–    Discovery Approach
♦ Inductive and Deductive Methods
–    Inductive Method
–    Deductive Method
♦ Analytic Method
♦ Synthetic Method
♦ Problem Solving Method
♦ Laboratory Method
♦ Project Method
♦ Modern Techniques of Mathematics Teaching
–   Brainstorming
–   Quiz Technique
–   Seminar Method
  Discussion Technique
–   Scenario Building Technique

Unit – IV: Models of Teaching Mathematics:
♦ Models of Teaching Mathematics and Classroom Interaction:
 Explicit Teacher Model
 The Path-Smoothing Model
 An Alternative – The Challenging Model
♦ Formation and Applications of Mathematical Concepts
 Vygotsky’s Theory of Concept Formation
 Concept Attainment Model
 Advance Organizer Model
 The Jurisprudential Inquiry Model
♦ Classroom Interaction Analysis (Flanders Interaction Analysis Category System) and its Implications in Learning Mathematics

Unit – V: Techno-based Teaching and Evaluation in Mathematics:
♦ Definition
Psychology of using audio-visual aids
Principles of using audio-visual aids
Essential qualities of audio-visual aids
♦ Dale’s Cone of experience
♦ Classification of teaching aids
♦ Hardware and software approaches
♦ Preparation and use of software
♦ Importance and limitations of audio-visual aids
Radio
Tape recorder
Television
LCD Projection
♦ Educational Broadcasts
Radio and TV
♦ Information and Communication Technology in Mathematics Teaching
CAI
ICAI
Intelligent Tutoring System
E-learning
Web based learning

Unit – VI: Evaluation:
♦ Achievement test in Mathematics
Achievement test in Mathematics
Subjective and objective tests
Blueprint,
CAE,
On-line tests

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