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Singapore Math & Teacher Preparation

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Dr. Yeap Ban HarMarshall Cavendish Institute Singaporeyeapbanhar@gmail.com

Singapore Math

& Teacher Preparationplenary lecture

MTAP (Tertiary Chapter)

www.banhar.blogspot.com

Sin

gap

ore

Math

in

Colo

rado, U

SA

This lecture focuses on the whats and hows of Singapore Math and the implications on teacher preparation.

Singapore Math

& Teacher Preparationplenary lecture

www.banhar.blogspot.com

Sin

gap

ore

Math

in

Haw

aii,

US

A

In particular, the role of mathematics in developing thinking as well as conceptual understanding, and the central role of problem solving are discussed.

Singapore Math

& Teacher Preparation

www.banhar.blogspot.com

A framework for teacher preparation to teach mathematics in this particular way is outlined.

Singapore Math

& Teacher Preparation

www.banhar.blogspot.com

Kra

nji

Seco

nd

ary

Sch

ool,

Sin

gap

ore

Singapore Math

Singapore Math

& Teacher Preparation

www.banhar.blogspot.com

Sin

gap

ore

Math

in

The

Neth

erl

ands

Example 1How many ½ are there in ¾ ?

Example 1How many ½ are there in ¾ ?

Example 1How many ½ are there in ¾ ?

Example 1How many ½ are there in ¾ ?

Example 1How many ½ are there in ¾ ?

Prospective teachers must have a conceptual understanding of the content they teach. They also need the corresponding pedagogical knowledge e.g. using concrete representation and pictorial representation to help students access abstract ideas.

Example 2Find the value of 51 3.

Example 2Find the value of 51 3.

Prospective teachers must understand mathematical variability and perceptual variability of the mathematics skill / concept they teach.

What is the emphasis when the lesson shift from 21 3 to 51 3? What is the difference between using base ten block and coins to represent 51?

Theoretical Underpinnings of Singapore MathJerome Bruner• Spiral Approach• CPA ApproachZoltan Dienes• VariabilityRichard Skemp• Relational

Understanding

Article on Relational Understanding

Lesson 41 16.08.12

Lesson 41

ab To prove that angle at

centre is equal to 2a + 2b

a

16.08.12

Northbrooks Secondary School, Singapore

Lesson 41 10.10.11

ab To prove that angle at

centre is equal to 2a + 2b

a2a

180o - 2a

Lesson 41 16.08.12

ab To prove that angle at

centre is equal to 2a + 2b

a

2ab2b

key focus

singapore

mathematics

of

problem

solving

thinking

excellentvehicleanforthe

development&improvement of

a person’s intellectual

competenciesMinistry of Education Singapore 2006

conceptual

understanding

developingvisualization

10

10

76

3 𝑥+10+𝑥+10=764 𝑥+20=76

x x x

x

10

10

76

3 𝑥+10+𝑥+10=764 𝑥+20=76

x x x

x

10

10

76 - 20

3 𝑥+10+𝑥+10=764 𝑥+20=76

4 𝑥=76−20=56

𝑥=564

=14

Singapore Math in London, UK

King Solomon Academy, London

Professional Learning

Singapore Math

& Teacher Preparation

www.banhar.blogspot.com

Sin

gap

ore

Math

in

The

Neth

erl

ands

Grade 10

Grades 11 – 12

Polytechnic

University

Teacher Preparation at NIE

Professional Development

Marshall Cavendish Institute

Certificate in Mathematics Teaching

(120 h) Course for Math

Specialists (40 h)

Course for Math Coaches (40 h)

Course for Graduate Research (40 h)

where mindset is changed, knowledge is

constructedand the ability to learn, enhanced

Pedagogy for Teacher Preparation

Teachers as Learners

Pedagogy for Teacher Preparation

Teachers as Observers

Pedagogy for Teacher Preparation

Bina Bangsa School, Jakarta

Find the distance between two given points.

Singapore Math courses for teachers provides opportunities for teachers to ‘study’ lessons.

Victory Christian International School, Manila

1st Block 4 x 2 x 12nd Block 4 x 2 x 33rd Block

Singapore Math courses for teachers provides opportunities for teachers to ‘study’ lessons.

Textbooks are written to embody the learning theories and emphasis of mathematics learning. Teachers learn mathematics and how to teach mathematics from the textbooks.

Pedagogy for Teacher Preparation

Junyuan Secondary School, Singapore

Thank You

yeapbanhar@gmail.com

www.banhar.blogspot.com

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