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NIOS Question Paper October 2016

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D.El.Ed.-504 Learning Mathematics at Elementary Level

October, 2016
Time: 3 hours Maximum 
Marks: 70

General Instructions : 
(1)Candidate must write his/her Roll Number on the first page of the question paper.
(2)Please check the question paper to verify that the total pages and total number of questions contained in the paper are the same as those printed on the top of the first page. Also check to see that the questions are in sequential order.
(3)For the objective type of questions, you have to choose any one of the four alternatives given in the question, i.e., A, B, C or D and indicate your correct answer in the answer-book given to you.
(4)Making any identification mark in the answer-book or writing Roll Number anywhere other than the specified places will lead to disqualification of the candidate.
(5)Answers for questions, like matching, true or false, fill in the blanks, etc., are to be given in the answer-book.
(6)Write your Question Paper Code No. 53/DEE/O/7, Set u on the answer-book.

Question Nos. 1 to 15 are multiple-choice questions. Choose the correct alternative from (A), (B), (C) and (D) and write it in the answer-book :

Ques 1. Which of the following is not a measure of central tendency?
(A) Median
(B) Range(C) Mode (D) Mean

Ques 2. Cumulative frequency is required to calculate
(A) Median
(B) Mode
(C) Mean
(D) Standard deviation

Ques 3 . Product of (a - b) and (5a+ 3b) is
(A) 5a2 - 3b2
(B) 5a2 + 2ab - 3b2
(C) 5a2 - 2ab - 3b 2
(D) 5a2 - 2ab + 3b2

Ques 4. Sum of two numbers is 64. One number is thrice the other. The two numbers are
(A) 30 and 34
(B) 14 and 42
(C) 16 and 48
(D) 24 and 40

Ques 5. One litre is equal to
(A) 1/10 decalitre
(ii) (B)1/10 decilitre
(iii) Grammar rules are to be memorized.
(iv) Exercises are mostly sentence-based.
(A) Only (i).
(B) Only (ii) and (iii)
(C) 1/100 decilitre
(D)1/100 decalitre

Ques 6. Formula for volume of pyramid is
(A) 1/3 X base area X height
(B) 3 X base area X height
(C) 1/2 Xbase area X height
(D) 2 X base area X height

Ques 7. In a cyclic quadrilateral KLMN
(A) KL = LM = MN = NLl
(B) mÐK = mÐL = mÐM = mÐN
(C) mÐK +mÐL = mÐM +mÐN = 180°
(D) mÐL +mÐN = mÐK +mÐM = 180°

Ques 8. For doing comprehensive assessment, it is required to use
(A) only multiple-choice questions
(B) only projects
(C) only skill-based tests
(D) variety of tools and techniques

Ques 9. The average of three numbers is 84. Find the numbers. This is
(A) an open-ended item
(B) a closed-ended item
(C) a comprehensive item
(D) impossible

Ques 10. The record of assessment is important, because
(A) it provides feedback to learner
(B) it provides information to teachers for planning of activities
(C) it intimates the parents the areas in which child requires attention and help
(D) All of the above

Ques 11. Choose the incorrect statement.
(A) Mathematics is precise.i
(B) Mathematics is problem.
(C) Mathematics is symbolic.
(D) Mathematics is logical.

Ques 12. ‘Problem-solving process’ does not involve the process of
(A) observing and inferring
(B) comparison and classification of objects
(C) trial and error
(D) merely contemplating knowledge already gained

Ques 13. Which of the following is an instructional objective of mathematics?
(A) To apply mathematics in other subjects
(B) To apply addition of two-digit numbers in solving problems of daily life
(C) To see aesthetics in mathematics
(D) To become familiar with mathematical language and symbolism

Ques 14. ‘From abstract to concrete’ is related to
(A) inductive method
(B) deductive method
(C) analytic method
(D) synthetic method

Ques 15. New innovations in mathematics with hands on experience can be done in
(A) mathematics classroom
(B) mathematics library
(C) mathematics laboratory
(D) mathematics teacher’s room

Note : Question Nos. 16 to 30 are very short answer-type questions. Answer each question in few words or one/two sentence(s) :

Ques 16. Write one major aim of mathematics education.

Ques 17. Form a conjecture related to the following pattern :
3 2 5 5 2 7
3 4 7 5 4 9
3 6 9 5 6 11

Ques 18. Give an example to show the relation between ‘mathematics and science’.

Ques 19. Which of the pre-number concepts are used for classification of objects?

Ques 20. In which state of cognitive development are the students of primary classes?

Ques 21. During assessment for mathematics learning, one student wrote story involving the concept, other collected information from newspapers and another student went to relevant public place to gather information. Which assessment technique is being applied by the teacher?

Ques 22. Why is feedback to parents necessary in teaching-learning process?

Ques 23. Give one difference between remedial activities and enrichment activities in mathematics.

Ques 24. How many lines of symmetry are there in a square?

Ques 25. Find the range of the given data :
10, 11, 12, 13 14 15 16 17 18 19

Ques 26. 1000 cm3 water is poured into a container already containing 0·001 m3 water. Find the total volume of water in litres.

Ques 27. Using body parts, name any two non-standard units of length.

Ques 28. Write the number of terms and the terms in the expression - 2pq/5+7.

Ques 29. What is the formula for perimeter of a rhombus?

Ques 30. Dates of birth of Kanak and Pritika are 29.06.2010 and 06.09.2012 respectively. What is the difference in their age?

Question Nos. 31 to 40 are short answer-type questions. Answer the questions briefly in not more than 50 words each :

Ques 31. Explain “additive identity in W, Z and Q is zero whereas no additive identity exists in N”.

Ques 32. Draw a flowchart showing the interrelation connecting different types of quadrilaterals.

Ques 33. What is a ‘solar year’? How will you relate ‘solar year’ to ‘solar day’?

Ques 34. Suggest a mathematical game/activity to teach single-digit subtraction to Class I students.

Ques 35. Explain how the skills of listening and speaking are interlinked and interdependent.

Ques 36. Give two measures to remove ‘mathematics phobia’ of a Class VIII student.

Ques 37. How would art education be affected, if there were no mathematics?

Ques 38. 

Ques 39. Mention the steps that a teacher follows in deductive approach for effective learning.

Ques 40. Discuss ‘exploration phase’ of 5E’s learning model.

Note : Question Nos.41 and 42 are long answer-type questions. Answer each question elaborately in not more than 500 words :

Ques 41. What are the problems in teaching and learning of mathematics? How do ‘mathematics education beyond classroom’ is helpful in overcoming these problems? Give examples.

Ques 42. What are the three principles of assessment of ‘mathematics learning’? Also discuss any two criteria of a good assessment.