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Thi is Day 1 of a three-day professional development for teachers in Hawaii. Today, we focus on the fundamenatals - thinking and learning theories basic to Singapore Math. There was also an Open Lesson with Grade 4 students.
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Presentations are available at
www.banhar.blogspot.com
Professional Development for Singapore Math (Upper Grades)
Yeap Ban [email protected]
Pearl City, HawaiiDay 1
8 August 2011
Professional Development for Singapore Math (Upper Grades)
Day 1 Session 1Open Lesson
CPA Approach
Nanakuli Elementary School, Hawaii, USA
Nanakuli Elementary School, Hawaii, USA
Nanakuli Elementary School, Hawaii, USA
concrete
pictorial
abstractThe CPA Approach is one of the fundamentals of Singapore Math.
Nanakuli Elementary School, Hawaii, USA
Nanakuli Elementary School, Hawaii, USA
concrete
The CPA Approach is one of the fundamentals of Singapore Math.
pictorial
The CPA Approach is one of the fundamentals of Singapore Math.
pictorial / abstract16
16 ÷ 4
The CPA Approach is one of the fundamentals of Singapore Math.
16
3 x 4
The CPA Approach is one of the fundamentals of Singapore Math.
pictorial / abstract
abstract16
16 ÷ 4
34×16
4
The CPA Approach is one of the fundamentals of Singapore Math.
abstract16
3 x 4
34×16
4
The CPA Approach is one of the fundamentals of Singapore Math.
Professional Development for Singapore Math (Upper Grades)
Day 1 Session 2Examples from Fractions
CPA Approach
The Concept of Equal Parts in Fractions
The Concept of Equal Parts in Fractions
conceptual
Another emphasis of Singapore Math is the focus on conceptual understanding.
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
Professional Development for Singapore Math (Upper Grades)
Day 1 Session 3Fraction Division
CPA Approach
