MCI-SIF PDA Thailand Project

Professional Development for Secondary Mathematics Teachers
At MeechaiPattana School
Buriram, Thailand
Yeap Ban Har
Marshall Cavendish Institute
banhar.yeap@pathlight.org.sg
Slides are available at www.banhar.blogspot.com

Two Core Competencies in Secondary Mathematics
Looking for Patterns and Relationships and Make Generalization
Visualization
Bruner’s Theory
Concrete  Pictorial  Abstract
Problem-Based Approach
Using one problem and asking students to solve the problems in different ways
Outline of Workshop

Core Competencies in Mathematics
Example from Thailand O-NET (Grade 9)
Look at the following figures.
Figure 1
Figure 2
Figure 3
Figure 4
Figure 1 contains 1 triangle.
Figure 2 contains 3 triangles.
Which figure contains 55 triangles?

Method 1
1, 3, 6, 10, 15, 21, 28, 36, 45, 55
where you add 2, 3, 4, 5, 6 and so on to get the next term.
Method 3
1+2=3
1+2+3=6
1+2+3+4=10
1+2+3+4+5=15
…
1+2+3+4+5+6+7+8+9+10=55
Answer: Figure 10
Method 2
Using [2 x (2+1)] ÷ 2 or [n x (n+1)] ÷ 2

Example from Singapore PSLE Mathematics (Grade 6)
1 + 2 + 3 + 4 + 5 + … + 95 + 96 + 97
The first 97 whole numbers are added up.
What is the ones digit in the total?
Answer: 3
48 pairs of 98 and
49 which does not
pair up.
The one digit in
48 x 98 is 4.
The ones digit in
48 x 98 + 49 is 3.

Patterns & Relationships
Find the ones digit in the sum of 1 + 2 + 3 + … + 2010 + 2011
Find the ones digit in the product of 1 x 2 x 3 x … x 2010 x 2011
Find the ones digit in the product of 3 x3x 3 x … x 3 x 3
2011 threes

Find the ones digit in the product of 3 x3x 3 x … x 3 x 3
2011 threes

The ones digit in 32008 is 1
The ones digit in 32011 is 7

Example from Holland

Example from Japan

Test Item from LAS which is a local assessment for Grade 8 (Mathayom 2).
This item requires the ability to visualize. It is important to develop the basic abilities to visualize and observe patterns.
Method 2
Find angle AEC first using the parallel property.
Method 1
Find angle ABE first using the parallel property.

Area of Trapezium
4 cm
10 cm
8 cm
10 cm

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MCI-SIF PDA Thailand Project

by Jimmy Keng on Jun 07, 2011

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MCI-SIF PDA Thailand Project — Presentation Transcript