morning session|
SE03 Developing the Ability to See
Patterns through Mathematics
yeap ban har | marshall cavendish institute
yeapbanhar@gmail.com | www.banhar.blogspot.com

what?
to meet demands of global economy
Problem-Solving Approach
how?
to meet the needs of every learner
CPA Approach

application
lesson |
In Common Core State Standards, Grade 4
students learn about angles and by Grade 8, they
learn about sum of exterior and interior angles
of polygons.

drill-and-practice
lesson |
Multi-digit division is done in Grades 3 through 5 in
Common Core State Standards.

1
2
3
4
5
6
7
9
8

morning session|
SE09 Visualization – Getting Students
to See the Math
yeap ban har | marshall cavendish institute
yeapbanhar@gmail.com | www.banhar.blogspot.com

We will use a tangram
set for this workshop.
You can cut them out
from your handouts or
make one using the
square paper
provided.
You can also download
a tangram app from
Apple Store.

3-piece solutions

3-piece solutions

3-piece solutions can be extended
to give 5-piece solutions by adding
two largest triangles.

A non-congruent 5-piece solution

y + z = 162
Sum of angles = 360 + 180 = 540
3x = 540 – 2 x 162
3x = 540 – 324
3x = 216
x = 72
Greg Tang’s solution:
z = 2y (why?)
y + z = 162
3y = 162 = 150 + 12
y = 54
x = 180 – 2 x 54 = 180 – 108 = 72

afternoon session|
SF03 Developing Number Sense – A
Differentiated Approach
yeap ban har | marshall cavendish institute
yeapbanhar@gmail.com | www.banhar.blogspot.com

Singapore
Malaysia
Thailand
Indonesia
International
48
2
2
0
3
78
12
8
2
17
92
36
26
15
46
99
65
55
43
75
611
440
427
386
500
advanced
high
intermediate
low
average
gradeeightmathematics

afternoon session|
SF08 Engaging Students in Deep
Mathematical Thinking with Anchor
Tasks
yeap ban har | marshall cavendish institute
yeapbanhar@gmail.com | www.banhar.blogspot.com

Area = 2.5 Number of dots around the polygon = 5
Area = 2 Number of dots around the polygon = 4
Area = 1.5 Number of dots around the polygon = 3

Area = 6.5 Number of dots around the polygon = 11
Area = 11.5 Number of dots around the polygon = 23
Area = 12 Number of dots around the polygon = 24

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