D.El.Ed. – II ( RS ) 818 [ Turn over

26 ] [ 8

Total No. of Questions : 26 ] [ Total No. of Printed Pages : 8

: 460-EK (RS)

Code No. : 460-EK (RS)

D.El.Ed. SECOND YEAR

—

FACILITATING LEARNING — MATHEMATICS

( OPTIONAL )

( Kannada & English Versions )

Revised Syllabus

: 22. 05. 2019 ] Date : 22. 05. 2019 ]

: 2.00 5.00 ] [ : 60

Time : 2.00 P.M. to 5.00 P.M. ] [ Max. Marks : 60

Register Number of the Candidate

( Kannada Version )

I

10 × 1 = 10

1.

(A) (B)

(C) (D)

2.

(A)

(B)

(C)

(D)

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3. 2 0

(A) 4 (B) 2

(C) 0 (D) 1

4.

(A)

(B)

(C)

(D)

5. (C) (d)

(A) C = d (B) C = 2r

(C) C = 2r (D) C = ( R 2 – r 2 )

6.

(A) (B)

(C) (D)

7.

I.

II.

III.

IV.

(A) I, II III (B) I III

(C) II IV (D)

8.

(A)

(B)

(C)

(D)

3 460-EK ( RS )

D.El.Ed. – II ( RS ) 818 [ Turn over

9. NCF – 2005

I.

II.

III.

IV. /

(A) I II (B) II, III IV

(C) II III (D)

10.

(A)

(B)

(C)

(D)

II

5 × 2 = 10

11.

12.

13.

14.

15.

16.

17.

18.

III

(a) (b)

8 × 5 = 40 19. a)

b)

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D.El.Ed. – II ( RS ) 818

20. a)

b) Van Hiele Model

21. a)

b)

22. a)

b)

23. a)

b)

24. a)

b) ( CAM )

25. a)

b)

26. a)

b)

5 460-EK (RS)

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818

( English Version )

PART – I

Four choices have been given for each of the following questions. Choose the most appropriate answer and write in the answer-book. All the questions are compulsory. 10 × 1 = 10

1. The process which generalizes arithmetic operations and operates on

unknown quantities is

(A) Inductive reasoning (B) Deductive reasoning

(C) Algebraic thinking (D) Geometric thinking.

2. The meaning of ‘mathematization’ is

(A) Understand real world problems in mathematical terms

(B) To know lot of mathematics

(C) Solve more number of problems

(D) Solve problems through memorization.

3. The value of 2

!

0

!

is

(A) 4 (B) 2

(C) 0 (D) 1.

4. Which of the following mathematical statements is false ?

(A) Every natural number is a whole number

(B) Every whole number is a natural number

(C) 0 (zero) is the smallest whole number

(D) If zero is added to a whole number then the sum is a whole number.

5. The relationship between circumference (C) and diameter (d) of the circle is

(A)

!

C = "d (B)

!

C = 2r

(C)

!

C = "r2 (D)

!

C = "(R2# r

2).

6. The pioneer of Inquiry based learning is

(A) Hilda Taba

(B) Vergnaud

(C) Richard Suchman

(D) Bruce Joyce and Marsha Weil.

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7. The importance of mathematics laboratory in schools is

I. to transact abstract mathematical concepts

II to provide too much emphasis on symbols and formulae

III. to reason out and communicate mathematically

IV. to make students as passive learners

Of these :

(A) I, II and III (B) I and III

(C) II and IV (D) All of these.

8. A teacher provides multisensory experiences while facilitating

mathematics. Here the teacher,

(A) provides monotonous drill type calculations

(B) provides verbal presentation

(C) teach mathematics as an isolated subject

(D) provide resources to learn a concept in mathematics.

9. The marking scheme in mathematics according to NCF-2005 is focused on

I. importance given only to the final answer

II. importance given to the steps to solve a problem

III. to justify each step of the solution

IV. penalized for computational errors

Of these :

(A) I and II (B) II, III and IV

(C) II and III (D) all of these.

10. The purpose of conducting diagnostic test in mathematics is

(A) to determine the nature of learning deficiencies of students

(B) to know the achievement level of students

(C) to promote students for next higher level

(D) to identify the learning outcomes of all units in mathematics.

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818

PART – II

Answer any five of the following questions, each answer not exceeding half

a page. 5 × 2 = 10

11. Write any two differences between ‘Euclidean Geometry’ and ‘Riemannian

Geometry’.

12. Suggest any four measures to remove mathematics phobia among children

at higher primary level.

13. Plan a suitable activity to explore the concept ‘Lowest Common Multiple’

(LCM).

14. List the important characteristics of effective learning of a unit in

mathematics.

15. Write any four weaknesses in the teaching of present day mathematics on

school education at H.P.S.

16. How workbooks are acting as supplementary self learning materials in

mathematics ? Explain.

17. Which are the factors to be considered while analyzing the individual test

answer paper of students ?

18. Mention any four mathematical statements which help to facilitate

discussion among students in classroom at upper primary level.

PART – III

There is an alternate question for each of the following. Answer either (a) or

(b) of them, each answer not exceeding one page. 8 × 5 = 40

19. (a) Illustrate with suitable examples, the three components of

mathematical reasoning.

OR

(b) As a mathematics teacher, how do you create your classroom

teaching to encourage reasoning among students.

20. (a) ‘Sum of the three angles of a triangle is equal to two right angles.’

Prove the theorem using deductive reasoning.

OR

(b) How will you plan a lesson in Geometry for analysis and informal

deduction levels according to Van Hiele Model ?

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21. (a) As a mathematics teacher, how do you facilitate to construct bisector

of any acute angle using ruler and compass only.

OR

(b) How do you facilitate ‘Area of a triangle’ by using a rectangle with

suitable dimensions ?

22. (a) Justify with suitable examples, how you will apply educational

implications of Pedagogical Content Knowledge (PCK) in learning

mathematics at higher primary level.

OR

(b) “All congruent figures are similar, but all similar figures are not

congruent.” Justify the statement by providing suitable examples.

23. (a) Perform task analysis for the following instructional objective :

‘The pupils verify the solution of linear equation.’

OR

(b) Analyze the stages of ‘Inductive Thinking Model’ by selecting a topic of

your choice in mathematics.

24. (a) Plan a lesson using the stages of Jigsaw technique for the concept

‘Types of triangle’.

OR

(b) How will you facilitate the concept ‘Complementary angles’ using the

stages of Concept Attainment Model (CAM) ?

25. (a) How did you use locally available resources effectively while

facilitating a lesson in mathematics at HPS ? Discuss.

OR

(b) “Mathematics textbook plays a key role in facilitating meaningful and

joyful learning.” Discuss the statement in the context of content and

presentation at higher primary level.

26. (a) Explain any five criteria to be considered while developing a test

question paper in mathematics.

OR

(b) Explain the steps to be used in the ‘assessment of problem solving’ in

mathematics.