2007-2008 Ps 267 Exam Paper

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2007/2008

PS 0267

SEMESTER 1 EXAMINATION, SESSION

2007/2008

For the Diploma in Education Second Year Course PS 0267: CURRICULUM STUDIES: PRIMARY MATHEMATICS 2 Time allowed: Three hours

Instructions to candidates: This examination paper consists of 10 questions. . Each question is worth ten marks. The paper will be marked out of 100 marks Answer all the questions. Candidates may use rulers, protractors and calculators.

Answer All the Questions in this paper 1.

2.

(a)

Describe a way how you are going to let pupils find out that the sum of interior angles of a square is 360°.

(b)

Explain how you would teach pupils that the area of a triangle is ½ base × height.

(c)

Explain how you will show that the lowest common factor of 400 and 600 is 200.

Prepare a lesson plan on the teaching of subtraction of fractions to Primary Five students. Referring to the above, state clearly your learning objectives of the following components: (a) the expected learning outcomes, (b) ways of how these outcomes can occur, and (c) the required minimum level of achievement based on your certain fixed criteria.

3.

4.

(a)

What are the two new topics in the new primary school Curriculum? Briefly state why they have been included.

(b)

List four syllabus changes that have been made in the new upper primary school curriculum.

How would you control class indiscipline due to the expressions of deviant behaviour in the classroom? Indicate the principles you would employ and explain why you would choose that particular set of principles to solve this problem.

5.

(a) How you can use the number line model to teach children to add 25+ 15? (b)

Order these rational numbers from least to greatest

16 2 1 5 , ,  1 , 0, , 3,  3 5 3 2 8

2

(c) 6.

(a)

Make up a realistic problem which leads to

3 3  . 8 10

Use the figure below, write a convincing argument that the sum of interior angles of an n- sided polygon is ( n -2) 180 o.

(b)

Explain briefly how you are going to work with a small group of pupils to make a manipulative device to help Primary school students understand and verify that the sum of the angles of a triangle is 180 o.

C

Fig 1

Fig 2

Consider the idea that a triangle can be folded on the dotted lines in either of the ways in Fig 1 and 2 above. For Fig 1, fold the vertices so that the tips are at a common point which is the intersection of the bisectors of the angles. As for Fig 2, fold the vertices so that the tips are on the foot of an altitude.

7.

(a)

(b)

Describe one strategy you could teach your primary pupils to mentally simplify the following. (i) 78  0. 5 (ii) 398 × 50. Consider Hassan’s thinking: “To find 146 – 48, I’ll first subtract 50 from 146 which is 96. Then I have to compensate by subtracting 2 more. The exact difference is 94.” Is his thinking correct? If so, use basic properties to prove his work. If not, explain the error in his thinking.

(c)

Identify two problems primary school children in Brunei have with learning mathematics in English and explain how these could be addressed

3

8.

(a) Using rounding for estimation, estimate the value of each expression and explain your thinking. (i) 16 942  7540 (ii) 23 562  809 (b)

What is the greatest whole number and what is the least whole number that when rounded to nearest 1000, round to 20 000. Explain your thinking.

9.

(a)

What are the important steps involved in the teaching of

the Pre- measurement to young children? Explain by giving examples. (b) 10.

How would you teach area of rectangles to Primary 4 children?

(a)

Outline four strategies giving examples showing how primary school teacher can help children learn to solve word problems.

(b)

Write a word problem whose solution requires making a drawing or figure which includes words like “less than”, or “shorter”, or “longer” or “more than”.

END OF PAPER

4

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