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# MCI-SIF PDA Thailand Project

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This is one of three workshops conducted by the specialist team from MCI and SIF. This is part of MCI's community involvement programme. This is the workshop on secondary mathematics.

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### MCI-SIF PDA Thailand Project

1. 1. Professional Development for Secondary Mathematics Teachers<br />At MeechaiPattana School<br />Buriram, Thailand<br />Yeap Ban Har<br />Marshall Cavendish Institute<br />banhar.yeap@pathlight.org.sg<br />Slides are available at www.banhar.blogspot.com<br />
2. 2. Two Core Competencies in Secondary Mathematics<br />Looking for Patterns and Relationships and Make Generalization<br />Visualization<br />Bruner’s Theory<br />Concrete  Pictorial  Abstract<br />Problem-Based Approach<br />Using one problem and asking students to solve the problems in different ways <br />Outline of Workshop<br />
3. 3. <ul><li>Core Competencies in Mathematics
4. 4. Example from Thailand O-NET (Grade 9)</li></ul>Look at the following figures.<br />Figure 1<br />Figure 2<br />Figure 3<br />Figure 4<br />Figure 1 contains 1 triangle.<br />Figure 2 contains 3 triangles.<br />Figure 3 contains 6 triangles.<br />Figure 4 contains 10 triangles.<br />Which figure contains 55 triangles?<br />
5. 5. Method 1<br />1, 3, 6, 10, 15, 21, 28, 36, 45, 55<br />where you add 2, 3, 4, 5, 6 and so on to get the next term. <br />Method 3<br />1+2=3<br />1+2+3=6<br />1+2+3+4=10<br />1+2+3+4+5=15<br />…<br />1+2+3+4+5+6+7+8+9+10=55<br />Answer: Figure 10<br />Method 2<br />Using [2 x (2+1)] ÷ 2 or [n x (n+1)] ÷ 2 <br />
6. 6. <ul><li>Core Competencies in Mathematics
7. 7. Example from Singapore PSLE Mathematics (Grade 6)</li></ul>1 + 2 + 3 + 4 + 5 + … + 95 + 96 + 97<br />The first 97 whole numbers are added up.<br />What is the ones digit in the total?<br />Answer: 3<br />48 pairs of 98 and <br />49 which does not <br />pair up.<br />The one digit in<br />48 x 98 is 4.<br />The ones digit in<br />48 x 98 + 49 is 3.<br />
8. 8. <ul><li>Core Competencies in Mathematics
9. 9. Patterns & Relationships
10. 10. Find the ones digit in the sum of 1 + 2 + 3 + … + 2010 + 2011
11. 11. Find the ones digit in the product of 1 x 2 x 3 x … x 2010 x 2011
12. 12. Find the ones digit in the product of 3 x3x 3 x … x 3 x 3</li></ul>2011 threes<br />
13. 13. <ul><li>Core Competencies in Mathematics
14. 14. Patterns & Relationships
15. 15. Find the ones digit in the product of 3 x3x 3 x … x 3 x 3</li></ul>2011 threes<br />
16. 16. <ul><li>Core Competencies in Mathematics
17. 17. Patterns & Relationships</li></ul>The ones digit in 32008 is 1<br />The ones digit in 32011 is 7<br />
18. 18. <ul><li>Core Competencies in Mathematics
19. 19. Example from Holland</li></li></ul><li><ul><li>Core Competencies in Mathematics
20. 20. Example from Japan </li></li></ul><li>
21. 21.
22. 22. Test Item from LAS which is a local assessment for Grade 8 (Mathayom 2).<br />This item requires the ability to visualize. It is important to develop the basic abilities to visualize and observe patterns.<br />Method 2<br />Find angle AEC first using the parallel property.<br />Method 1<br />Find angle ABE first using the parallel property.<br />
23. 23. <ul><li>Core Competencies in Mathematics
24. 24. Area of Trapezium</li></ul>4 cm<br />10 cm<br />8 cm<br />10 cm<br />