Tamil Nadu Open University (TNOU) 2006 B.Ed Teaching of Mathematics - Question Paper
2290 ES-342
B.Ed. DEGREE EXAMINATION - JANUARY, 2006.
First Year (For AY-2004-05 batch candidates) TEACHING OF MATHEMATICS
Time : 3 hours Maximum marks : 75
PART A (2 x 15 = 30 marks)
Answer any TWO questions not exceeding 750 words
each.
1. Give the meaning of mathematics and discuss its nature with reference to its growth, application, logic and axioms.
2. Explain how a mathematics teacher can introduce effectively and give illustrations for Number Systems.
3. Explain with examples the construction of triangles, given
(a) three sides (S.S.S)
(b) two sides and included angle (SAS)
(c) two angles and one side (ASA).
Answer any FIVE questions not exceeding 300 words
each.
4. Explain factorization of ax2 +bx +c by the method of splitting the middle term.
5. Explain how to solve the system of linear equations ax + by = c and dx + ey=f through
(a) the method of elimination and
(b) by using determinants.
6. Explain the importance and effectiveness of problem solving approach in teaching mathematics.
7. What is the significant role of evaluation in teaching-learning process of mathematics?
8. Describe with illustration how Relations are represented as
(a) Set of ordered pairs
(b) Graph and
(c) Venn diagram.
9. Write an algorithm and draw the flow cha] the following problems
(a) Find the nature of the roots ax2 +bx +c = 0
(b) Given the cost price and selling price the gain/loss.
10. Explain the derivation of the formulae for dei the area of a parallelogram, trapezium and triangl
11. Explain how to derive the Trigonometric rat the angles 30, 60 and 90.
PART C (5 x 3 = 15 marks)
Answer ALL questions not exceeding 150 words e
12. Prove that log ax b = log a +log6 for any has
13. Find the L.C.M and H.C.F. of 180 and 270 th division method.
14. Give a formula for finding Pythagorean ti and find three Pythagorean triplets using the forn
15. Factorise x3 + 6x2 + llx + 6 using remi theorem.
16. Construct a problem that may be solved usi set identity n(A uB) = n(A) + n(B) -n(A nf)an its solution.
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