Singapore Math & Teacher Preparation

1. Singapore
Singapore Math in Colorado, USA
Math
& Teacher
Preparation
plenary lecture Dr. Yeap Ban Har
MTAP (Tertiary Chapter)
Marshall Cavendish Institute
Singapore
yeapbanhar@gmail.com
www.banhar.blogspot.com

2. Singapore This lecture focuses on the
whats and hows of Singapore
Math Math and the implications on
teacher preparation.
& Teacher
Preparation
Singapore Math in Hawaii, USA
plenary lecture
www.banhar.blogspot.com

3. Singapore In particular, the role of
mathematics in developing
Math thinking as well as conceptual
understanding, and the
& Teacher central role of problem
Preparation solving are discussed.
www.banhar.blogspot.com

4. Kranji Secondary School, Singapore
Singapore
Math
& Teacher
Preparation A framework for teacher
preparation to teach
mathematics in this
particular way is outlined.
www.banhar.blogspot.com

5. Singapore Math in The Netherlands
Singapore
Math
& Teacher
Preparation
Singapore Math
www.banhar.blogspot.com

6. Example 1
How many ½ are there in ¾ ?

7. Example 1
How many ½ are there in ¾ ?

8. Example 1
How many ½ are there in ¾ ?

9. Example 1
How many ½ are there in ¾ ?

10. Example 1
How many ½ are there in ¾ ?
Prospective teachers must
have a conceptual
understanding of the
content they teach. They
also need the
corresponding
pedagogical knowledge
e.g. using concrete
representation and pictorial
representation to help
students access abstract

11. Example 2
Find the value of 51 3.

12. Example 2
Find the value of 51 3.
Prospective teachers must
understand mathematical
variability and perceptual
variability of the mathematics
skill / concept they teach.
What is the emphasis when the
lesson shift from 21 3 to 51 3?
What is the difference between
using base ten block and coins to

16. Theoretical Underpinnings of Singapore Math
Jerome Bruner
• Spiral Approach
• CPA Approach
Zoltan Dienes
• Variability
Richard Skemp
• Relational Understanding
Article on Relational Understanding

17. Lesson 41 16.08.12

18. Lesson 41 16.08.12
a
b To prove that angle at
centre is equal to 2a + 2b
a

19. Northbrooks Secondary
School, Singapore

20. Lesson 41 10.10.11
a
b To prove that angle at
centre is equal to 2a + 2b
180o - 2a
2a
a

21. Lesson 41 16.08.12
a
b To prove that angle at
centre is equal to 2a + 2b
2a
2b b
a

25. key
of singapor
mathemati
focus
cs e

26. problem
solving

27. thinking

28. an
excellent
vehicle
for the development
&improvement of
a person’s intellectual
competencies
Ministry of Education Singapore 2006

29. conceptu
understandi
al
ng

30. developin
visualizatio
g

32. 10
76
10

33. x x x 10
76
x 10

34. x x x 10
76 - 20
x 10

36. Singapore Math in
London, UK

37. King Solomon
Academy, London

38. Singapore Math in The Netherlands
Singapore
Math
& Teacher
Preparation
Professional Learning
www.banhar.blogspot.com

39. Grade 10
Grades 11 – 12 Polytechnic
University

40. Teacher
Preparation
at NIE
Professional
Development

41. Certificate in Mathematics
Teaching (120 h)
Course for Math
Marshall Specialists (40 h)
Cavendish
Institute Course for Math Coaches
(40 h)
Course for Graduate
Research (40 h)

42. Pedagogy for Teacher
Preparation
where mindset is
changed,knowledge is constructe
and the ability to learn, enhanced

43. Pedagogy for
Teacher
Preparation
Teachers as Learners

44. Pedagogy for
Teacher
Preparation
Teachers as Observers

45. Find the distance
between two given
points.
Bina Bangsa School, Jakarta
Singapore Math
courses for teachers
provides opportunities
for teachers to ‘study’
lessons.

46. 1st Block 4x2x1
2nd Block 4x2x3
3rd Block
Victory Christian International
School, Manila
Singapore Math
courses for teachers
provides opportunities
for teachers to ‘study’
lessons.

47. Pedagogy for
Teacher
Preparation
Textbooks are written to embody the
learning theories and emphasis of
mathematics learning. Teachers learn
mathematics and how to teach mathematics
from the textbooks.

48. Thank You
yeapbanhar@gmail.com
www.banhar.blogspot.com
Junyuan Secondary
School, Singapore