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Professional Development for ,[object Object],Singapore Math (Upper Grades),[object Object],Yeap Ban Har,[object Object],banhar@sg.marshallcavendish.com,[object Object],Pearl City, Hawaii,[object Object],Day 1,[object Object],8 August 2011,[object Object],Presentations are available at ,[object Object],www.banhar.blogspot.com,[object Object]
Professional Development for ,[object Object],Singapore Math (Upper Grades),[object Object],Day 1 Session 1,[object Object],Open Lesson,[object Object],CPA Approach,[object Object]
Nanakuli Elementary School, Hawaii, USA,[object Object]
Nanakuli Elementary School, Hawaii, USA,[object Object]
Nanakuli Elementary School, Hawaii, USA,[object Object]
concrete,[object Object],pictorial,[object Object],abstract,[object Object],The CPA Approach is one of the fundamentals of Singapore Math.,[object Object],Nanakuli Elementary School, Hawaii, USA,[object Object]
Nanakuli Elementary School, Hawaii, USA,[object Object]
concrete,[object Object],The CPA Approach is one of the fundamentals of Singapore Math.,[object Object]
pictorial,[object Object],The CPA Approach is one of the fundamentals of Singapore Math.,[object Object]
pictorial / abstract,[object Object],16,[object Object],16 ÷ 4,[object Object],The CPA Approach is one of the fundamentals of Singapore Math.,[object Object]
pictorial / abstract,[object Object],16,[object Object],3 x 4,[object Object],The CPA Approach is one of the fundamentals of Singapore Math.,[object Object]
abstract,[object Object],4,[object Object],34×16,[object Object], ,[object Object],16,[object Object],16 ÷ 4,[object Object],The CPA Approach is one of the fundamentals of Singapore Math.,[object Object]
abstract,[object Object],4,[object Object],34×16,[object Object], ,[object Object],16,[object Object],3 x 4,[object Object],The CPA Approach is one of the fundamentals of Singapore Math.,[object Object]
Professional Development for ,[object Object],Singapore Math (Upper Grades),[object Object],Day 1 Session 2,[object Object],Examples from Fractions,[object Object],CPA Approach,[object Object]
The Concept of Equal Parts in Fractions,[object Object]
,[object Object],The Concept of Equal Parts in Fractions,[object Object]
Pearl City Hawaii 8 August 2011
,[object Object]
Pearl City Hawaii 8 August 2011
conceptual,[object Object],understanding,[object Object],Another emphasis of Singapore Math is the focus on conceptual understanding.,[object Object]
Let’s learn some math…. What can be counted together i.e. added? What can’t?,[object Object]
Pearl City Hawaii 8 August 2011
Pearl City Hawaii 8 August 2011
“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.” ,[object Object],Jerome Bruner 1960 ,[object Object],The Process of Education,[object Object], ,[object Object],One feature of Singapore Math is the spiral approach.,[object Object]
Emphasis on Systematic Variation,[object Object],One feature of Singapore Math is the spiral approach and systematic variation.,[object Object]
Pearl City Hawaii 8 August 2011
Pearl City Hawaii 8 August 2011
Pearl City Hawaii 8 August 2011
This represents 1,[object Object],156 =,[object Object], ,[object Object],116,[object Object], ,[object Object]
This represents 1,[object Object],76 =,[object Object], ,[object Object]
This represents 1,[object Object],76 =,[object Object], ,[object Object],116,[object Object], ,[object Object]
Professional Development for ,[object Object],Singapore Math (Upper Grades),[object Object],Day 1 Session 3,[object Object],Fraction Division ,[object Object],CPA Approach,[object Object]
Pearl City Hawaii 8 August 2011
Pearl City Hawaii 8 August 2011
Pearl City Hawaii 8 August 2011
Pearl City Hawaii 8 August 2011

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Pearl City Hawaii 8 August 2011

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