COURSE VI‐ TEACHING OF MATHEMATICS
FIRST SEMESTER
Course outline 1. Theory (External) : 60 marks , 36 hrs.
2. Assignments/ Projects/ Study/ : 40 marks
Activities/ Practical/ Tests 18 hrs. , (Internal)
Unit – 1 : Objectives and place of Mathematics in School Curriculum
14 marks , 8.5 hrs.
1.1 Objective of teaching mathematics at the primary stage.
1.2 Place of mathematics in School curriculum with reference to its utility in
daily life.
1.3 Values of teaching mathematics.
1.4 Relationship of mathematics with other subjects.
Unit 2: Content Analysis 14 marks , 8.5 hrs.
2.1 Content analysis – analysis of mathematical content in terms of the content
categories, facts, concepts, generalizations and processes.
2.2 Sequencing of the content categories. Stating the objectives of teaching the
content categories.
2.3 Design strategies of teaching the content categories, unit planning and
lesson planning.
Unit 3: Number System 12 marks , 7 hrs.
3.1 Number and numerals, digits, natural numbers, whole numbers, place
values, four basic operations on numbers, different kinds of numbers such
as odd, even, prime, composite, co‐prime and twin‐primes.
3.2 Representation of numbers on number line.
3.3 Numbers with different bases.
3.4 LCM and HCF of numbers, integers, rational numbers, irrational
numbers and real numbers.
Unit 4: Fractions 10marks , 6 hrs.
4.1 Proper, improper and mixed fraction.
4.2 Conversion of decimal numbers into proper fractions and vice versa.
4.3 Four basic operations of fractions and decimals.
4.4 Percentage, conversion of percentage into fractions and vice versa.
Unit ‐5 : Contribution of ancient Mathematicians 10 marks
6 hrs
Contribution of Braham Gupta, Bhaskaracharya, Ramanujan in mathematics.
Historical development of numbers and geometry, contribution of Arya Bhatt.
SECOND SEMESTER
Course outline 1. Theory (External) 60 marks , 36 hrs.
2. Assignments/ Projects/ Study/ 40 marks
Activities/ Practicals/ Tests
(Internal) 18 hrs
3. Field work
(Teaching Practice‐ External) 40Marks
(Teaching Practice – Internal) 10Marks , 20 hrs
Unit ‐ 6 : Methods of Teaching Mathematics 14 marks , 8.5 hrs.
6.1 Concept formation in mathematics – Piagetian stages of number development coordination‐
ordination –conservation.
6.2 Expository and guided discovery.
6.3 Inductive and deductive approach.
6.4 Analytic and synthetic approach.
6.5 Problem solving, meaning and importance of teaching problem solving, stages in problem
solving, techniques to improve solving skills.
6.6 Play way method.
Unit ‐7 : Measurement 10 marks , 6 hrs.
Different units of measurement such as length, weight, time, currency, temperature,
area, volume, capacity and their conversion into smaller and bigger units.
1. Student teacher will measure the length and breadth of exercise book, table, blackboard,
classroom and windows and height of ceiling.
2. Distance between two points on uneven surface will be measured with the help of a cord or
a measuring tape.
3. Size of a drop should be measured with the help of pippets.
Unit ‐8 : Ratio and Proportion 12 marks , 7 hrs.
Direct and inverse ratio problems related to the ratio and proportion.
Unit ‐9 : Commercial Arithmetic 14 marks , 8.5 hrs.
9.1 Profit and loss.
9.2 Discount.
9.3 Simple interest compound interest.
9.4 Use of tables of interest.
9.5 Percentage.
9.6 Square root and cube root.
Unit ‐ 10 : Algebraic Expressions 10 marks , 6 hrs
10.1 Indices and exponents.
10.2 Algebraic expressions and basic operations on algebraic expressions.
10.3 Factors of linear and quadratic expressions
COURSE VI‐ TEACHING OF MATHEMATICS
FIRST SEMESTER
Course outline 1. Theory (External) : 60 marks , 36 hrs.
2. Assignments/ Projects/ Study/ : 40 marks
Activities/ Practical/ Tests 18 hrs. , (Internal)
Unit – 1 : Objectives and place of Mathematics in School Curriculum
14 marks , 8.5 hrs.
1.1 Objective of teaching mathematics at the primary stage.
1.2 Place of mathematics in School curriculum with reference to its utility in
daily life.
1.3 Values of teaching mathematics.
1.4 Relationship of mathematics with other subjects.
Unit 2: Content Analysis 14 marks , 8.5 hrs.
2.1 Content analysis – analysis of mathematical content in terms of the content
categories, facts, concepts, generalizations and processes.
2.2 Sequencing of the content categories. Stating the objectives of teaching the
content categories.
2.3 Design strategies of teaching the content categories, unit planning and
lesson planning.
Unit 3: Number System 12 marks , 7 hrs.
3.1 Number and numerals, digits, natural numbers, whole numbers, place
values, four basic operations on numbers, different kinds of numbers such
as odd, even, prime, composite, co‐prime and twin‐primes.
3.2 Representation of numbers on number line.
3.3 Numbers with different bases.
3.4 LCM and HCF of numbers, integers, rational numbers, irrational
numbers and real numbers.
Unit 4: Fractions 10marks , 6 hrs.
4.1 Proper, improper and mixed fraction.
4.2 Conversion of decimal numbers into proper fractions and vice versa.
4.3 Four basic operations of fractions and decimals.
4.4 Percentage, conversion of percentage into fractions and vice versa.
Unit ‐5 : Contribution of ancient Mathematicians 10 marks
6 hrs
Contribution of Braham Gupta, Bhaskaracharya, Ramanujan in mathematics.
Historical development of numbers and geometry, contribution of Arya Bhatt.
SECOND SEMESTER
Course outline 1. Theory (External) 60 marks , 36 hrs.
2. Assignments/ Projects/ Study/ 40 marks
Activities/ Practicals/ Tests
(Internal) 18 hrs
3. Field work
(Teaching Practice‐ External) 40Marks
(Teaching Practice – Internal) 10Marks , 20 hrs
Unit ‐ 6 : Methods of Teaching Mathematics 14 marks , 8.5 hrs.
6.1 Concept formation in mathematics – Piagetian stages of number development coordination‐
ordination –conservation.
6.2 Expository and guided discovery.
6.3 Inductive and deductive approach.
6.4 Analytic and synthetic approach.
6.5 Problem solving, meaning and importance of teaching problem solving, stages in problem
solving, techniques to improve solving skills.
6.6 Play way method.
Unit ‐7 : Measurement 10 marks , 6 hrs.
Different units of measurement such as length, weight, time, currency, temperature,
area, volume, capacity and their conversion into smaller and bigger units.
1. Student teacher will measure the length and breadth of exercise book, table, blackboard,
classroom and windows and height of ceiling.
2. Distance between two points on uneven surface will be measured with the help of a cord or
a measuring tape.
3. Size of a drop should be measured with the help of pippets.
Unit ‐8 : Ratio and Proportion 12 marks , 7 hrs.
Direct and inverse ratio problems related to the ratio and proportion.
Unit ‐9 : Commercial Arithmetic 14 marks , 8.5 hrs.
9.1 Profit and loss.
9.2 Discount.
9.3 Simple interest compound interest.
9.4 Use of tables of interest.
9.5 Percentage.
9.6 Square root and cube root.
Unit ‐ 10 : Algebraic Expressions 10 marks , 6 hrs
10.1 Indices and exponents.
10.2 Algebraic expressions and basic operations on algebraic expressions.
10.3 Factors of linear and quadratic expressions
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