Pearl City Hawaii 8 August 2011

Professional Development for
Singapore Math (Upper Grades)
Yeap Ban Har
banhar@sg.marshallcavendish.com
Pearl City, Hawaii
Day 1
8 August 2011
Presentations are available at
www.banhar.blogspot.com

Day 1 Session 1
Open Lesson
CPA Approach

Nanakuli Elementary School, Hawaii, USA

concrete
pictorial
abstract
The CPA Approach is one of the fundamentals of Singapore Math.

concrete

pictorial

pictorial / abstract
16
16 ÷ 4

pictorial / abstract
16
3 x 4

abstract
4
34×16

16
16 ÷ 4

abstract
4
34×16

16
3 x 4

Day 1 Session 2
Examples from Fractions
CPA Approach

The Concept of Equal Parts in Fractions


The Concept of Equal Parts in Fractions

conceptual
understanding
Another emphasis of Singapore Math is the focus on conceptual understanding.

Let’s learn some math…. What can be counted together i.e. added? What can’t?

“A curriculum as it develops should revisit these basic ideas repeatedly, building upon them until the student has grasped the full formal apparatus that goes with them.”
Jerome Bruner 1960
The Process of Education

One feature of Singapore Math is the spiral approach.

Emphasis on Systematic Variation
One feature of Singapore Math is the spiral approach and systematic variation.

This represents 1
156 =

116

This represents 1
76 =

This represents 1
76 =

116

Day 1 Session 3
Fraction Division
CPA Approach

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Pearl City Hawaii 8 August 2011

by Jimmy Keng on Aug 09, 2011

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Pearl City Hawaii 8 August 2011 — Presentation Transcript