Successfully reported this slideshow.
We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. You can change your ad preferences anytime.

SingaporeMath in Action 3

1,344 views

Published on

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

Published in: Education
  • Be the first to comment

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 />

×