B.Ed. (Full Time) Pedagogy of School Subject Mathematics Syllabus - Mumbai University

Objectives

• To understand the basic concepts associated with academic disciplines
• To understand place of different disciplines in the school curriculum understand nature, scope & importance of Mathematics at secondary level.
• To aacquaint and formulate aims and instructional objectives in teaching mathematics in Secondary school level as per revised taxonomy.
• To apply different approaches and methods of teaching mathematics in classroom situations.
• To set up mathematics club in the school and organize its activities.
• To use a mathematics laboratory to develop in students an interest in mathematics.
• To understand the professional competencies, commitments and expectations of mathematics teacher.
• To develop knowledge of various values of teaching Mathematics
• To appreciate the role of mathematics in day-to-day life
• To understand that mathematics is more than formulas and mechanical procedures
• To channelize, evaluate, explain and reconstruct students‘ thinking
• To appreciate the importance of mathematics laboratory in learning mathematics

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
• 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.,
• c) Place of Mathematics in the present school curriculum

Unit 2: Introduction to the Teaching of Mathematics

• a) Meaning , Nature & scope of Mathematics
• b) Aims and Objectives of teaching Mathematics at Secondary and Higher Secondary Levels (NCF 2009)
• c) Values of teaching Mathematics

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
• b) Approaches of curriculum construction-Concentric and Topical
• c) Pedagogical Analysis ,Unit Planning &Lesson planning

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)
• b) Activity centered methods—Problem solving, Lecture cum Demonstration
• c) Techniques of teaching Mathematics ---Drill and Review, Assignment in Mathematics

Unit 5: Learning Resources

• a) Mathematic Laboratory & Mathematic club (objectives, significance)
• b) Textbook – Characteristics and Critical analysis
• c) Digital Resources for Teaching Mathematics- Geogebra & Virtual Manipulative (Meaning, Application, Advantages and Limitations)

Unit 6: Professional Development of Teacher

• a) Competencies of Mathematics teacher
• b) Need and Avenues of Continuous Professional Development
• c) Contribution of mathematicians- Aryabhatta, Ramaujan, Euclid, Phythagoras

Module 3: Internal Assessment 2 credits

• Suggested tasks: (Any One)
• a) Plan and implement lessons in mathematics using appropriate methods/approaches to teach :
• • Generalizations
• • Theorems/ Proofs
• • Problem Solving
• • Lecture cum Demonstration Take up a problem in mathematics (from any area like number system, geometry etc.). Make a group of 3 or 4 students to discuss about the probable ways of solving
• b) Conduct one lesson in the math using manipulative- Physical/ virtual.
• c) Assignment: For any one selected topic, prepare Pedagogical Analysis Plan
• d) Critically appreciate any one textbook of mathematics.
• e) Conduct one lesson in the math using manipulative- Physical/ virtual.
• f) Prepare a diagnostic test in mathematics.
• g) Critically appreciate any one textbook of mathematics.
• h) Collect the names of Mathematicians and Prepare a report about their contribution to Mathematics

References

• Boyer, Carl B., (1969): A History of Mathematics; Wiley, New York.
• Content cum Methodology of Teaching Mathematics for B.Ed; NCERT New Delhi.
• Davis David R., (1960); Teaching of Mathematics Addison Wesley Publications.
• Ediger Mariow (2004); Teaching Math Successfully, Discovery Publication.
• Gupta H.N. and Shankaran V (Ed.), 1984; Content cum Methodology of Teaching Mathematics, NCERT New Delhi.
• Hudgins, Bryce B. (1966); Problem Solving in the classroom, MacMillan, New York.
• James Anice (2005); Teaching of Mathematics, Neelkamal Publication.
• Johan R.E. et.al, (1961): Modern Algebra; First Course, Addison-Wesley Publishing Company INC. USA.
• Kapur S.K. (2005); Learn and Teach Vedic Mathematics; Lotus Publication.
• Kulshreshtha; Teaching of Mathematics, R. Lal and Sons.
• Kumar Sudhir; Teaching of Mathematics, Anmol Publications, New Delhi, India.
• Mangal, A text book on Teaching of Mathematics, Prakash Bros., Ludhiana, India.
• NCERT (2006) Position Paper-National Focus Group On Teaching of Mathematics , New Delhi
• Novak,J.D. & Gowin ,D.B.,(1984) , Learning How To Learn ,New York, NY, Cambridge University Pressoy
• Hollands (1990), Development of mathematical skills, Blackwell Publishers, Oxford, London
• Schonnel F.J.(1965) , Diagnostic and Remedial Teaching in Arithmetic , Lever and Boyd , London
• Pamela Cowan (2006), Teaching Mathematics, A Handbook for Primary and Secondary School Teachers, Routledge , London and New York
• Tanner H. And Jones S. (2000) , Becoming a successful teacher of mathematics, Routledge Falmer , London
• Thompson D.R and Rubenstein,R.N(2010), Teaching and Learning High School Mathematics , John Wiley and Sons Inc., New Jersey,
• Weinberg A.S.(1999),Connecting Mathematics and Science to Workplace Contexts : A Guide to Curriculum materials, Corwin Press Inc., California