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# SingaporeMath in Action 3

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This session focused on mathematical problem solving - an important aspect of Singapore Mathematics curriculum.

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### SingaporeMath in Action 3

1. 1. singaporemathinaction<br />Session 3<br />mathematical problem solving<br />Yeap Ban Har<br />National Institute of Education<br />Singapore<br />www.banhar.com<br />
2. 2. singaporemathinaction<br />
3. 3. singaporemathinaction<br />Problem 1<br />How many paper clips are there in the box on your table?<br />
4. 4. singaporemathinaction<br />Problem 2<br />Arrange the cards so that you can do the card trick shown to you.<br />
5. 5. singaporemathinaction<br />Problem 3<br />How many three-fourths are there in 1 whole?<br />
6. 6. Ateneo Grade School, Manila<br />How many three-fourths are there in one whole? <br />
7. 7. singaporemathinaction<br />-<br />Problem 4<br />Give a 3-digit number and a 2-digit number so that the difference is 3.<br />3<br />
8. 8. singaporemathinaction<br />+<br />Problem 5<br />Use one set of digit tiles to make a correct addition sentence.<br />
9. 9. singaporemathinaction<br />+<br />Problem 6<br />Use one set of digit tiles to make a correct addition sentence.<br />
10. 10. singaporemathinaction<br />x<br />Problem 7<br />Use one set of digit tiles to make a correct multiplication sentence.<br />
11. 11. Solutions from Participants<br />45 x 2 = 90 <br />18 x 2 = 36 <br />16 x 3 = 48 <br />43 x 2 = 86<br />13 x 4 = 52<br />17 x 2 = 34<br />14 x 5 = 70<br />26 x 3 = 78<br />15 x 6= 90<br />29 x 3 = 87<br />34 x 2 = 68<br />12 x 5 = 60<br />13 x 6 =78<br />35 x 2 = 70<br />48 x 2 = 96<br />16 x 5 = 80<br />12x 8 = 96<br />15 x 4 = 60<br />19 x 2= 38<br />27 x 3 = 81<br />15 x 2 = 30<br />17 x 4 = 68<br />12 x 7 = 84<br />19 x 3 = 57<br />Why are there so few odd products?<br />
12. 12. Shaping MathsCoursebook 4A<br />
13. 13. singaporemathinaction<br />614<br />Two Numbers<br />2 units  614<br />4 units  1228<br />The sum of the two numbers is 1228.<br />Shaping MathsCoursebook 4A<br />
14. 14. singaporemathinaction<br />boys<br />342<br />50<br />girls<br />Boys & Girls<br />2 units  342 – 50 = 292<br />1 unit  292 ÷ 2 = 140 + 6 = 146<br />There are 146 Primary Four boys.<br />Shaping MathsCoursebook 4A<br />
15. 15. singaporemathinaction<br />Ravi<br />1775 + 85<br />Samuel<br />Stamps<br />After<br />1 unit  1860 ÷ 4 = 465<br />At first, Samuel had 465 – 85 = 380 stamps.<br />Shaping MathsCoursebook 4A<br />
16. 16. 1860<br />1600<br />260<br />240<br />20<br />Keys Grade School, Manila<br />
17. 17. singaporemathinaction<br />George Polya’s<br />Problem-Solving Model<br /><ul><li> Understand
18. 18. Plan
19. 19. Do
20. 20. Look Back</li></li></ul><li>singaporemathinaction<br />Can you recall each of the four problem-solving phases when we were solving the problems in the last hour or so?<br />Think!<br />
21. 21. singaporemathinaction<br />What are some of the methods used to solve the problems? Make a list of heuristics used.<br />Heuristics<br />