MODULE 1: FUNDAMENTALS OF MATHEMATICS EDUCATION (2 Credits) 

Unit 1: Basics of Academic Disciplines 

a) Meaning of academic disciplines, Relationship between academic disciplines and Mathematics

https://www.youtube.com/watch?v=tiRhv3Q6fIM 

 b) Classification of academic disciplines: Becher -Biglan typology ( pure-hard, pure soft, applied-hard, applied-soft types) with emphasis on nature of knowledge in each type.,

https://www.youtube.com/watch?v=CWLXERwT9zI&t=573s 

 c) Place of Mathematics in the present school curriculum

Position Paper on Teaching of Mathematics: https://ncert.nic.in/pdf/focus-group/math.pdf 

 Unit 2: Introduction to the Teaching of Mathematics 

a) Meaning , Nature & scope of Mathematics 

https://letslearneasily.in/meaning-nature-and-scope-of-mathematics/

b) Aims and Objectives of teaching Mathematics at Secondary and Higher Secondary Levels (NCF 2009)

https://www.youtube.com/watch?v=9483zv5J-n4

https://vttcollege.org.in/wp-content/uploads/2020/04/1.2.7A-Unit-2a-Math.pdf

https://egyankosh.ac.in/bitstream/123456789/46785/1/Unit-2.pdf 

 c) Values of teaching Mathematics 

https://www.aare.edu.au/data/publications/1999/bis99188.pdf 

https://static.mathigon.org/value-of-mathematics.pdf 

Unit 3: Essentials of Teaching Mathematics and Curriculum Transaction

 a) Maxims of teaching  From Known to Unknown  From Simple to Complex  From Particular to General  From Concrete to Abstract  From Whole to Part

https://www.slideshare.net/sultanakhan1/maxims-of-teaching-mathematics 

 b) Approaches of curriculum construction-Concentric and Topical 

https://sciencing.com/concentric-method-in-teaching-12750652.html 

https://www.sdbidoon.com/document/maths-teaching-1st-yr-06-04-2020.pdf 

c) Pedagogical Analysis ,Unit Planning &Lesson planning 

https://www.slideshare.net/AnjuGandhi2/pedagogical-analysis-in-teaching-mathematics

MODULE 2: TRANSACTING MATHEMATICS CURRICULUM (2 Credits) 

Unit 4: Methods and Techniques of Teaching Mathematics 

a) Learner Centered methods ---Inductive Deductive (Teaching Generalizations), Analytical Synthetic (Teaching Proofs) 

https://www.slideshare.net/PramilaKudva/inducto-deductive-approach

https://www.ijera.com/papers/Vol7_issue11/Part-2/C0711021922.pdf 

https://rkdskool.com/2018/09/24/analytic-and-synthetic-methods-methods-of-teaching-mathematics/ 

b) Activity centered methods—Problem solving, Lecture cum Demonstration

http://thiyagumath.blogspot.com/2011/05/module-9-problem-solving-method.html

 c) Techniques of teaching Mathematics ---Drill and Review, Assignment in Mathematics 

https://numberdyslexia.com/how-drill-and-practice-teaching-method-helps-in-learning-math/

Unit 5: Learning Resources a) Mathematics Laboratory & Mathematics club (objectives, significance)

https://www.cbsetuts.com/ncert-class-9-maths-lab-manual/

http://pedagogybyvasu.blogspot.com/2015/08/mathematics-laboratory.html

 b) Textbook – Characteristics and Critical analysis 

https://www.slideshare.net/TCPLibrary/math-text-book-analysis 

c) Digital Resources for Teaching Mathematics- Geogebra & Virtual Manipulative (Meaning, Application, Advantages and Limitations) 

https://www.youtube.com/watch?v=0ikyrzLozC8

https://toytheater.com/category/teacher-tools/virtual-manipulatives/

https://www.didax.com/math/virtual-manipulatives.html

https://mathigon.org/polypad

Unit 6: Professional Development of Teacher 

a) Competencies of Mathematics teacher

https://files.eric.ed.gov/fulltext/ED495712.pdf

 b) Need and Avenues of Continuous Professional Development

https://slideplayer.com/slide/15177506/

 https://egyankosh.ac.in/bitstream/123456789/46791/1/Unit-9.pdf 

 c) Contribution of mathematicians- Aryabhatta, Ramanujan, Euclid, Pythagoras 

https://www.robolab.in/biography-of-aryabhatta-scientist-476-550/

https://www.indiascienceandtechnology.gov.in/listingpage/ramanujan-man-who-knew-infinity

https://mathshistory.st-andrews.ac.uk/Biographies/Euclid/

https://mathshistory.st-andrews.ac.uk/Biographies/Pythagoras/