Opening Keynote
What to Teach & How to Teach Key Questions in Singapore Math
Yeap Ban Har
Slides are available at
www.banhar.blogspot.com
key focus singapore
mathematics of
problem solving
thinking
conceptual understanding
problem solving Learning Standards
problem solving Textbooks
Nury
Sue
3450
1286 ?
Reedley International School, Manila
Reedley International School, Manila Reedley International School, Manila
Nury
Sue
3450
1286
2164
3450 – 1286 = 2164 ?? Check
Reedley International School, Manila Reedley International School, Manila
Math Journal
Reedley International School, Manila
TV
Computer
?
$250 $1950
problem solving Textbook
problem solving National Examination
27 x 5 = 100 + 35 = 135
135 3 = 40 + 5 = 45
120 15 There were 45 books on each shelf at first.
27 x 5 = 135
x
x
x
3x = 5(30 – 3)
3x = 5(10 – 1)
3x = 5(9) = 45
problem solving thinking
conceptual understanding
Concrete Pictorial Abstract
15 3 = 5
enactive
iconic
symbolic
J. Bruner My Pals Are Here! Maths (Second Edition)
Princess Elizabeth Primary School, Singapore
Primary Mathematics (Standards Edition)
My Pals Are Here! Maths (Third Edition)
7 + = 12
Princess Elizabeth Primary School, Singapore
7 + = 12
Add 3 to get 10 Add 2 to get 12
Shaping Maths (Third Edition)
7 + = 12
Add 3 to get 10 Add 2 to get 12
6 + 2
8 + 4
2 6
My Pals Are Here! Maths (Third Edition)
My Pals Are Here! Maths (Third Edition)
My Pals Are Here! Maths (Third Edition)