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			SEMESTER -IV 
			 
			PAPER -2 : 
			PEDAGOGY OF SCHOOL SUBJECTS (ELECTIVE) 
			PEDAGOGY of 
			Mathematics (413) 
			
				
					
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						S.No | 
						
						UNIT
						 | 
						
						(TOPIC) | 
						
						BY 
						 | 
					 
					
						| 
						 1 | 
						
						UNIT -1 | 
						
						Nature, Development and 
						Significance of Mathematics
							
								| 
								1 | 
								
								
								Abstractness of Mathematics, Distinction between  
								Mathematics and science. | 
							 
							
								| 
								2 | 
								
								Distinct 
								role of pure and Applied Mathematics. | 
							 
							
								| 
								3 | 
								
								
								Mathematization of issues Aesthetic aspect of 
								Mathematics. | 
							 
							 
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						2 | 
						
						UNIT -2 | 
						
						Objectives and Strategies 
						of Teaching-Learning Mathematics
							
								| 
								1 | 
								
								Aims and 
								Objectives of teaching Mathematics at various 
								levels of school | 
							 
							
								| 
								2 | 
								
								
								Instructional objectives in teaching 
								mathematics; constructivist approach in 
								Methods of teaching Mathematics | 
							 
							
								| 
								3 | 
								
								Methods of 
								teaching mathematics - Inductive and Deductive 
								Methods, Analytic and Synthetic methods. | 
							 
							
								| 
								4 | 
								
								Competence 
								based approach in teaching Mathematics. | 
							 
						 
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						| 
						3 | 
						
						UNIT -3 | 
						
						 Informal Approach in 
						Mathematics
							
								| 
								1 | 
								
								
								Recreational aspect of mathematics- mathematical 
								games, puzzles and 
								amusements; | 
							 
							
								| 
								2 | 
								
								Computer 
								aided learning and Computer based instructions; 
								Use and preparation of teaching aids; Thought 
								provoking activities; | 
							 
							
								| 
								3 | 
								
								Mathematics 
								Laboratory and Mathematics Club | 
							 
						 
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						4 | 
						
						UNIT - 4 | 
						
						Structure of Mathematics
							
								| 
								1 | 
								
								Undefined 
								Terms and Axioms; Proofs and Verification in 
								Mathematics and 
								distinction between them; Types of Theorems such 
								as Existence and Uniqueness theorems etc.; | 
							 
							
								| 
								2 | 
								
								Types of 
								Proofs- Direct proofs, Indirect proofs, Proof by 
								Contradiction, Proof by Exhaustion, Proof by 
								Mathematical Induction and distinction between 
								Induction and Mathematical Induction; Role of 
								Examples, Counter Examples and Non-examples in 
								Mathematics; | 
							 
							 
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						| 
						5 | 
						
						UNIT -5 | 
						
						 Evaluation in 
						Mathematics
							
								| 
								1 | 
								
								Concept of 
								Evaluation in Teaching- Learning process 
								(Formative, Summative, 
								Criterion, Diagnostic); | 
							 
							
								| 
								2 | 
								
								Role of 
								Evaluation in Teaching- Learning process; Types 
								of mistakes in 
								Mathematics, their identification and analysis 
								with a purpose of preventing and remedial 
								measures; | 
							 
							
								| 
								3 | 
								
								Types of 
								Test items in Mathematics such as Long answer 
								type, Short answer type, Very Short answer type 
								and objective type; Planning and construction of 
								these items and precautions while constructing 
								test items; Action Research in Mathematics. | 
							 
							 
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