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