Parents Seminar on Heuristics at Chongfu School

3,043 views

Published on

This is the set of slides used at the seminar for Primary Five parents at Chongfu School in March 2011.

Published in: Education
0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total views
3,043
On SlideShare
0
From Embeds
0
Number of Embeds
382
Actions
Shares
0
Downloads
75
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

Parents Seminar on Heuristics at Chongfu School

  1. 1. Help Your Child in Problem-Solving Heuristics<br />Dr Yeap Ban Har<br />banhar.yeap@pathlight.org.sg<br />Marshall Cavendish Institute<br />Singapore<br />www.banhar.com<br />Photo Credit: Students solving a mathematics problem using draw-a-diagram heuristic at Da Qiao Primary School.<br />
  2. 2.
  3. 3. Heuristics are rule of thumb that students can use to handle a problem when the solution is not obvious.<br />
  4. 4. The problems used in the presentation are from PSLE Examination Questions Years 2006 – 2010 Mathematics published by Educational Publishing House Pte Ltd. <br />
  5. 5. PSLE 2006 – 2010 Page 13 Question 45 <br />
  6. 6.
  7. 7.
  8. 8.
  9. 9.
  10. 10. Photo Credit: Primary 2 students at Woodlands Primary School using manipulatives to do multiplication and division.<br />
  11. 11. PSLE 2006 – 2010 Page 13 Question 46 <br />1.2 m x 42 = 50.4 m<br />43 – 6 = 37 There were 36 spacing<br />50.4 m ÷ 36 = 1.4 m <br />The new spacing was 1.4 m. <br />
  12. 12.
  13. 13. PSLE 2006 – 2010 Page 19 Question 58 <br />Guess when each tried taking 11<br />33 Last girl had 11 sweets <br />41 Last girl had 8 sweets <br />49 Last girl had 5 sweets <br />57 Last girl had 2 sweets <br />
  14. 14. PSLE 2006 – 2010 Page 19 Question 58 <br />List 1 List 2<br />11 + 6 <br />22 + 6<br />33 + 6<br />44 + 6<br />55 + 6<br />66 + 6 <br />16 + 25<br />24 + 25<br />32 + 25<br />40 + 25<br />48 + 25<br />56 + 25 <br />
  15. 15. PSLE 2006 – 2010 Page 19 Question 58 <br />List 1 List 2<br />11 + 6 <br />22 + 6<br />33 + 6<br />44 + 6<br />55 + 6<br />66 + 6<br />77 + 6<br />88 + 6<br />99 + 6 <br />16 + 25<br />24 + 25<br />32 + 25<br />40 + 25<br />48 + 25<br />56 + 25<br />64 + 25<br />72 + 25<br />80 + 25 <br />
  16. 16. PSLE 2006 – 2010 Page 19 Question 58 <br />3 x ? = 2 + 25 <br />? = 9 <br />There were 10 girls. <br />There were 9 x 11 + 6 = 8 x 10 + 25 = 105 sweets altogether. <br />
  17. 17. PSLE 2006 – 2010 Page 19 Question 58 <br />There were 10 girls. <br />11m + 6 = 8(m + 1) + 25 <br />m = 9 <br />Alternate Method<br />8n + 25 = 11(n – 1) + 6 <br />n = 10 <br />
  18. 18. women<br />30<br />men<br />There were 4 x 30 = 120 men and women at first.<br />
  19. 19. Photo Credit: Primary 2 students at Woodlands Primary School using the interactive board to learn independently and collaboratively.<br />
  20. 20. Method 1<br />Azlan, Bala, Chris, Darren<br />Azlan, Bala, Chris, Enling<br />Azlan, Bala, Darren, Enling<br />Azlan, Chris, Darren, Enling<br />Bala, Chris, Darren, Enling, <br />Method 2<br />Selecting 4 persons from a group of 5 is the same as to leave out one person from a group of 5.<br />There are 5 ways to leave out 1 person from a group of 5.<br />Hence there are 5 ways to select 4 prefects from a group of 5 students.<br />
  21. 21. 1 third <br />= 4/12<br />remainder<br />= 5/12<br />1 fourth = 3/12<br />38 + 57 = 95<br />2 fifths  38 peaches<br />2 fifths  38 peaches<br />1 fifth  19 peaches<br />3 fifths  3 x 19 pears = 57 pears<br />5/12  95 fruits<br />1/12  19 fruits<br />There were 12 x 19 fruits or 228 fruits. <br />

×