This course incorporates teaching of ratio. Also enrichment and remediation..

1. Differentiated Instruction
incorporating ratio, whole numbers and fractions
Course Code: MAP114, MAP115 and MAP116
Yeap Ban Har
yeapbanhar@gmail.com
Marshall Cavendish Institute
Slides are available at www.banhar.blogspot.com

2. introduction |

3. | Hanusek, Jamison, Jamison & Woessmann 2008

4. | Hanusek, Jamison, Jamison & Woessmann 2008
Score 1960-1970s 1980s 1990s 2000s
500’s Japan Hong Kong
Japan
Korea
Hong Kong
Japan
Korea
Singapore
Hong Kong
Japan
Korea
Singapore
400’s Thailand Philippines
Singapore
Thailand
Malaysia
Thailand
Malaysia
Thailand
300’s Indonesia
Philippines
Indonesia
Philippines

5. opening examples |

6. In the 1970’s, Singapore needed a way to help students, most
of whom were not performing well in mathematics, learn
mathematics.
CPA Approach based on Bruner’s work and a host of other
learning theories were applied. Today, many people refer to
this approach as Singapore Math.

10. 29 + 52 =

11. 29 + 52 =
1 51

12. 29 + 52 = 81
1 51

13. 29 + 52 = 30 + 51 = 81

14. 29 + 52 = 81

18. differentiation |

20. “The idea of differentiating instruction is an approach to
teaching that advocates active planning for and
attention to student differences in classrooms,
in the context of high quality curriculums.”
| www.caroltomlinson.com

21. Goh’s Report (1978) recommended a
differentiated education system for
Singapore.
Grade 1 to 4
Mathematics
Foundation
Mathematics

22. Grade 1
Regular Program
Learning Support
Goh’s Report (1978) recommended a
differentiated education system for
Singapore.

23. We want to make our education system even
more student-centric, and sharpen our focus
in holistic education – centred on values and
character development.
| Heng 2011

24. Differentiated instruction is reflected in the Professional
Learning Communities (PLC) four critical
questions
| DuFour 2004
Educational Leadership
May 2004 | Volume 61 | Number 8
Schools as Learning Communities

25. what is it that the teacher wants
students to learn

26. how does a teacher know when
students have learnt it

27. what if students do not learn it

28. what if they already learnt it

29. model of
differentiation |

30. What to Differentiate
• Content
• Process
• Product

31. the content of instruction

32. Grade 1 to 4
Mathematics
Foundation
Mathematics
Example
Singapore Grade 5 and 6 Curriculum is
an example of content differentiation.

33. the processes and techniques used to help make
sense of a given topic

34. the products produced by students that demonstrate
their learning

35. Levels of Differentiation
• Student Level
• Class Level

36. differentiation for the entire class

37. differentiation for groups
within a class

38. Differentiation for Advanced Learners
• Acceleration model
• Enrichment model

39. acceleration

40. enrichment

41. teaching of ratio |

51. word problem|

52. The number of boys to the number of
girls in a group was in the ratio 2 : 3.

53. The number of boys to the number of
girls in a group was in the ratio 2 : 3.
After ¼ of the boys and 69 girls left
the group, there were 51 more girls
than boys in the group.

57. applying concepts|

62. practice|

67. concept learning |

77. authentic stimulus|

78. Source: http://www.deliciousasianfood.com/2007/05/17/pineapple-tart-pastry/
This is my mother-in-law’s recipe for Pineapple Tart Pastry.
Ingredients to make the pastry for the tarts
1 lb. flour
10 oz. butter
3 egg yolks
some cold water
4 teaspoon castor sugar
Method
Sift the flour and add in the castor sugar.