# TEACHING OF MATHEMATICS

**TEACHING OF MATHEMATICS**

1. Answer the following question in about 600 words.

Discuss the need and importance of Mathematics in school curriculum.

2. Discuss the principles of formulating the Mathematics curriculum.

3. Answer the following question in about.600 words.

Formulate objectives, select learning experiences to teach any one of the following topics to Secondary school teachers :

(i) Quadratic Equations

(ii) Perimeter and Area of plane figures

(iii) Percent

4. Write short notes on the following in about 120 words each :

(a) Heuristic or Discovery method

(b) Meaning of evaluation

(c) Congruence of Triangles

(d) Simple Interest

(e) Polynomials in one variable

(f) Histogram and Frequency Polygon

(g) Different types of quadrilaterals and their inter-relation (h) Definitions of trigonometric ratios

1. Answer the following question in about 600 words.

Discuss in detail the need and significance of teaching mathematics at secondary school stage. Give suitable examples in support of your answer.

2. What is meant by `evaluation' ?. Discuss the role of evaluation in improving the teaching - learning process in mathematics. Illustrate with examples wherever needed.

3. Answer the following question in about 600 words.

Formulate objectives and identify learning experiences to teach any one of the following topics to the secondary students :

(i) Exponents and Logarithms

(ii) LCM and HCF

(iii) Circle, its circumference and area

4. Write short notes on the following in about 120 words each :

(i) Relevance of Assignment and Home-work

(ii) Role of Teaching Aids

(iii) Use of Intuition and Logic in mathematics

(iv) Teaching of Rational.Numbers

(v) Teaching of Trigonometrical Ratios

(vi) Teaching of Stocks and Shares

(vii) Teaching "Division" of Polynomials

5. Answer the following question in about 600 words.

Discuss in detail the desirable characteristics of a good instructional strategy in mathematics. Explain the various steps taken in developing and implementing such a strategy.

1.Answer the following question in about 600 words.

Explain the meanings of `Induction' and `Deduction' in mathematics. Differentiate between Inductive and Deductive methods of teaching mathematics. Illustrate with examples how these methods work.

2. Discuss the nature and development of mathematics as a subject. Describe in detail the contribution of Indian mathematicians to the development of mathematics.

3. Answer the following question in about 600 words.

Formulate objectives and identify learning experiences to teach any one of the following topics to the secondary students :

(i) Elementary number theory

(ii) Linear equations and Inequations

(iii) Similarity of triangles and its applications

4. Write short notes on the following in about 120 words each :

(i) Place of mathematics in school curriculum

(ii) Role of practice in teaching mathematics

(iii) Teaching of graphs

(iv) Laboratory method of teaching mathematics

(v) Trigonometry, heights and distances

(vi) Teaching computing and flow-charting

(vii) Evaluation in mathematics

(viii) Lesson planning in mathematics teaching

5. Answer the following question in about 600 words.

Discuss, with example(s), how you will introduce the concept of statistics in the class. Explain your detailed strategy including teaching points, teaching methods and teaching aids while teaching statistics at secondary school stage.

1. Answer the following question in about 600 words.

Discuss the role of human needs as a basis of growth in Mathematics. Illustrate what contribution Mathematics can make to develop a habit of rational thinking . among learners.

2. Discuss the desirable characteristics of a good instructional programme in Mathematics.

3. Answer the following question in about 600 words.

Formulate objectives and select learning experiences to teach any one of the following topics to Secondary school students :

(i) Properties of Integers

(ii) Compound Interest

4. Write short notes on the following in about 120 words each :

(a) Graphs of linear equations involving absolute value

(b) Relation and Function

(c) Point, Line and Plane

(d) Language of Mathematics

(e) Profit and Loss

(f) Basic identities in Trigonometry

(g) Volume of Cylinder

(h) Measures of Central Tendency

(i) Stocks and Shares

5. Answer the following question in about 600 words.

What are the two observational methods of evaluation ? Specify the areas/attributes which can be evaluated by using these methods.

1. Answer the following question in about 600 words.

Discuss the principles of child development and learning which affect methods of teaching Mathematics at Secondary level.

2. What is unit planning ? Discuss features and steps in unit planning of instruction.

3. Answer the following question in about 600 words.

Formulate objectives, select learning experiences to teach any one of the following topics to' Secondary school students :

(i) Rational and Irrational numbers

(ii) Trigonometric ratios

4. . Write short notes on the following in about 120 words each :

(i) Pure and Applied Mathematics

(ii) Drill and Practice

(iii) Different types of quadrilaterals

(iv) Quadratic equations

(v) Polynomials in one variable

(vi) Parallel lines and related axioms

(vii) Derive values of trigonometric ratios for -standard values of angle

(viii) Pictorial representation of data

5. Answer the following question in about 600 words.

Discuss the meaning and role of evaluation in making instruction in Mathematics more effective.