1 / 41

Introduction Multiplication is an important component in primary mathematics learning.

Mathematical Thinking through investigation in multiplication For Primary Teacher Education programme in Hong Kong CHENG Chun Chor-Litwin The Hong Kong Institute of Education. Introduction Multiplication is an important component in primary mathematics learning.

kipling
Download Presentation

Introduction Multiplication is an important component in primary mathematics learning.

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Mathematical Thinking through investigation in multiplication For Primary Teacher Education programme in Hong KongCHENG Chun Chor-LitwinThe Hong Kong Institute of Education

  2. Introduction Multiplication is an important component in primary mathematics learning. However, most teachers taught according to the textbooks and there is little room for investigation in this topic. The set of materials introduced her wish to complement mathematical thinking for primary schools students.

  3. In Hong Kong, primary school teachers can go to Institutions to do an in-service release course, ranging from 5-week to a year, to refresh their teaching. This 5-week course may have different focus, such as small class teaching, children with special needs..

  4. The following is the list of material that was used in the teachers’ course, so that teachers can try them in their classroom. The materials have been tried out in schools before they are introduced to primary teachers. In total, there are 5 topics of materials introduced in this programme.

  5. Topic A: Finishing the multiplication table Topic B: Filling in numbers represented by English Letters Topic C: Finding maximum / minimum product of multiplication Topic D: Using factor and common factor Topic E: Finding Equal product

  6. Topic A: Finishing the multiplication table Filling in table, so that multiplication established.

  7. There are many answers find the answers and the number of answers :

  8. Question:Fill in integers so that the calculation is correct

  9. There are many answers find the answers and the number of answers :

  10. Using the numbers 1、2、3、4、5. Fill in the boxes so that multiplication established.

  11. Using the numbers 1、2、3、4、5 、6. Fill in the boxes so that multiplication established.

  12. The number 1or 5 could not be placed on the unit digit (marked by a cross )

  13. Posing Question： Using the numbers 2、3、4、5、6、7

  14. Topic B: Filling in numbers represented by English Letters

  15. A = 4，8，2，6，0 D could be 3 or 7. Suppose D = 3, then C  3, C = 8.

  16. A = 4，8，2，6，0 D could be 3 or 7. Suppose D = 7, then C = 8, B = 1.

  17. Topic B:Fill in suitable integers

  18. A = 1 or A = 2, but A 1, and A = 2.D = 3 or D = 8, but D 3.C = 2，7. B = 1。

  19. Topic BExamples used

  20. Topic BExamples used

  21. Topic C: Finding maximum / minimum Using 1, 2, 3, 4 to fill in the boxes to make the greatest product

  22. Topic C: Finding maximum / minimum Using 1，2，3，4，5，6，7

  23. Topic C: Finding maximum / minimum Using 1，2，3，4，5，6，7

  24. Topic C: Finding maximum / minimum Using 1，2，3，4，5，6，7 .

  25. Exercise: identify the greatest product

  26. Exercise: identify the greatest product

  27. Topic C: Finding maximum / minimum Using 1，2，3，4 .

  28. Topic C: Finding maximum / minimum Using 1，2，3，4 ，5.

  29. Topic C: Finding maximum / minimum Using 1，2，3，4 ，5 ，6.

  30. Another type of finding greatest product From 2, 3, 4, 5, 7, add 3 number and multiply this sum with the fourth numbers, so that the product is greatest。 The following is a list of possibilities. 2(3 + 5 + 7) = 30， 3(2 + 5 + 7) = 42， 5(2 + 3 + 7) = 60， 7(2 + 3 + 5) = 70，

  31. Topic D: Using factor / common factorStep (1), doing multiplication

  32. Topic D: Using factor / common factorStep (2), reverse the thinking

  33. Topic D: Using factor / common factorStep (2), reverse the thinking

  34. There are 4 numbers a、b、c、d (2 to 9).a(b + c + d) = 69b(a + c + d)= 105c(a + b + d) = 133d(a + b + c) = 165。Find the values of a、b、c、d. 69 = 323 105 = 521 = 715 133 = 719 165 = 1115 a < b < c < d. answer are 3、5、7、11.

  35. Topic E: Finding Equal product Using the numbers from 1 to 9, fill in the circle so that the product on the three sides are equal

  36. Topic E: Finding Equal product Using the numbers 2、3、4、6、8, fill in the circle so that the product on the three sides are equal.

  37. 2 A 4 X 3 Y 6 C 8 B Topic E: Finding Equal product Using the numbers 2、3、4、6、8

  38. A X Y C B Discussion (AYB)(BC)(AXC) = TTT  ABC X YAB C .= TTT  (23468)AB C = TTT • (2^73^2)ABC = TTT possible value of T = (2^43^1 )= 48  BC = 48。

  39. Topic E: Finding Equal product Using numbers 1、2、3、4、6、8

  40. 2 1 4 8 3 6 6 3 1 2 8 4 Topic E: Finding Equal productUsing numbers 1、2、3、4、6、8

  41. 3 1 4 2 9 6 8 Topic E: Finding Equal productUsing numbers 1、2、3、4、6、8

More Related