ncon2011 brunei 25-26 april 2011 workshop

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NCoN2011 workshop Developing Mathematical Problem- Solving Ability in Primary Levels Yeap Ban Har Marshall Cavendish Institute Singapore [email protected] om www.banhar.blogspot.com Pasar Gadong, Brunei Darussalam

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This is a 2-hour workshop on mathematical problem solving in primary school. It was conducted as part of National Conference on Numeracy 2011 by Ministry of Education, Brunei Darussalam.

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Page 1: NCoN2011 Brunei 25-26 April 2011 Workshop

NCoN2011workshopDeveloping Mathematical Problem-Solving Ability in Primary Levels

Yeap Ban HarMarshall Cavendish [email protected]

www.banhar.blogspot.com

Pasar Gadong, Brunei Darussalam

Page 2: NCoN2011 Brunei 25-26 April 2011 Workshop

The Curriculum (Ministry of Education 2006)

Page 3: NCoN2011 Brunei 25-26 April 2011 Workshop

Singapore Mathematics: Focus on Thinking

excellentvehicleanforthe

development&improvement of

a person’s intellectual

competenciesMinistry of Education Singapore 2006

Page 4: NCoN2011 Brunei 25-26 April 2011 Workshop

42

Step 1: Make 42

Step 2: Make 6

Step 3: Write the difference on the piece of square paper.

PROBLEM 1

First Digit

Second Digit

Hidden Number

2743

45, 9

24 6 18633627

Group A3

Page 5: NCoN2011 Brunei 25-26 April 2011 Workshop

42

Step 1: Make 42

Step 2: Make 6

Step 3: Write the difference on the piece of square paper.

PROBLEM 1

First Digit

Second Digit

Hidden Number

4132

79, 8

47 11 369

2718

Group B3

Page 6: NCoN2011 Brunei 25-26 April 2011 Workshop

PROBLEM 2

NCoN2011, Brunei Darussalam

Page 7: NCoN2011 Brunei 25-26 April 2011 Workshop

PROBLEM 2Draw polygons on the grid paper such that the vertices are on the dots and the total number of dots on the perimeter of each polygon is four. Find the area of each polygon.

Number of Dots

Area(units2)

0123478

1234?8?

Group A3

Each polygon has an area of 1 unit2.Responses by Teachers in Brunei at Workshops at NCoN2011

Page 8: NCoN2011 Brunei 25-26 April 2011 Workshop

We discussed how to find the area of this polygon.

In the end the group agreed that the area is 2 units2.

Responses by Teachers in Brunei at Workshops at NCoN2011

Page 9: NCoN2011 Brunei 25-26 April 2011 Workshop

Responses by Teachers in Brunei at Workshops at NCoN2011

Page 10: NCoN2011 Brunei 25-26 April 2011 Workshop

Responses by Teachers in Brunei at Workshops at NCoN2011

Page 11: NCoN2011 Brunei 25-26 April 2011 Workshop

PROBLEM 2Draw polygons on the grid paper such that the vertices are on the dots and the total number of dots on the perimeter of each polygon is four. Find the area of each polygon.

Number of Dots

Area(units2)

012348

123459

Group B3

Responses by Teachers in Brunei at Workshops at NCoN2011

Page 12: NCoN2011 Brunei 25-26 April 2011 Workshop

De Tweemaster, The Netherlands

Page 13: NCoN2011 Brunei 25-26 April 2011 Workshop

PROBLEM 3

Page 14: NCoN2011 Brunei 25-26 April 2011 Workshop

Responses by Teachers in Brunei at Workshops at NCoN2011

Page 15: NCoN2011 Brunei 25-26 April 2011 Workshop

PROBLEM 3

Page 16: NCoN2011 Brunei 25-26 April 2011 Workshop

Question: Is it possible to use problem solving for every lesson?Answer: Even in teaching a basic concept (i.e. the number five), a teacher used a problem-solving approach. Make a ‘toy’ using 5 cubes.

PCF KindergartenSingapore

Page 17: NCoN2011 Brunei 25-26 April 2011 Workshop
Page 18: NCoN2011 Brunei 25-26 April 2011 Workshop

Workshop Materials

Page 19: NCoN2011 Brunei 25-26 April 2011 Workshop
Page 20: NCoN2011 Brunei 25-26 April 2011 Workshop
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Page 23: NCoN2011 Brunei 25-26 April 2011 Workshop

Please tear the ten digit tiles out.