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STI Course #4466
A Closer Look at Singapore Math
with Ban Har

www.banhar.blogspot.com
STI Course #4466
Mathematical Competency as a Key
Information-Processing Skills.
Mathematics lessons should not focus
on just computation and rote learning
but to get to “accessing, using,
interpreting and communicating
mathematical ideas” which is the way
OECD defines numeracy in adults.
www.banhar.blogspot.com
STI Course #4466
Features of a Good Math Lesson
• Prolonged engagement with one
task
• CPA Approach
• Spiral Approach
• Collaborative Approach

www.banhar.blogspot.com
features of
a math lesson

Greenridge Primary School, Singapore
SEED Institute, Singapore

Let’s Learn Fractions

Show 2
equal
parts.

Prolonged Engagement
Anchor Task
Bruner
CPA Approach
Greenville Elementary School, New York

2,476 x 3

Bruner
CPA Approach
Vygotsky
Working in Groups
Nanyang Primary School, Singapore
Bruner
Spiral Approach
242 – 128
537 – 272

432 – 178
200 – 18
STI Course #4466
Assessment
Setting up non-negotiable assessment
indicators

www.banhar.blogspot.com
432 – 178
Level

Indicators

Approaching Expectations

Is the student able to do number bonds
for three-digit numbers?
Action Plan
432 is 400, 30 and what
To use base ten blocks to model
432 is 400 and what
renaming 432 = 3 hundreds + 13 tens + 2 432 is 300 and what
ones and then 3 hundreds + 12 tens + 12
ones
Is the student able to subtract?
300 – 100
120 – 70
12 – 8
Is the student able to appreciate
renaming?
In 492 – 178, is there enough ones to do
subtraction?
Meeting Expectations
Exceeding Expectations
STI Course #4466
Teaching Basic Skills
How to differentiate for struggling
learners
How to differentiate for advanced
learners

www.banhar.blogspot.com
Tomlinson’s idea of
differentiation – process, product
and content

Learners accessing and
constructing
mathematical knowledge
Child-like Conventions
• Do renaming
• Carry out the operations
These are done separately.
200 – 18
• Rename 200 as 100 + 90 + 10
• Now subtract 10 and 8 from 90 and 10
2,476 x 3
• Multiply to get 18, 210, 1200 and 6,000
• Now add the partial products
Critical Questions in Planning a Lesson
What do I want students to learn?
How do I know?
What if they cannot learn it?
What if they already learnt it?

www.banhar.blogspot.com
Learning Outcome
Task

Anticipated
Responses

Teacher Action

Approaching
Expectations

Support

Meeting
Expectations
Exceeding
Expectations

Guided Practice
Tasks
Independent Practice
Tasks (if any)

Conclusion

www.banhar.blogspot.com

Enrichment

Notes
anchor task

www.banhar.blogspot.com
guided practice

independent practice

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STI Course 4466