MTAP TL International Convention
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Transcript of MTAP TL International Convention
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Dr. Yeap Ban HarMarshall Cavendish Institute [email protected]
Singapore Math
& Teacher Preparationplenary lecture
MTAP (Tertiary Chapter)
www.banhar.blogspot.com
Sin
gap
ore
Math
in
Colo
rado, U
SA
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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
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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
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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
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Singapore Math
Singapore Math
& Teacher Preparation
www.banhar.blogspot.com
Sin
gap
ore
Math
in
The
Neth
erl
ands
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Example 1How many ½ are there in ¾ ?
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Example 1How many ½ are there in ¾ ?
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Example 1How many ½ are there in ¾ ?
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Example 1How many ½ are there in ¾ ?
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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.
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Example 2Find the value of 51 3.
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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?
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Theoretical Underpinnings of Singapore MathJerome Bruner• Spiral Approach• CPA ApproachZoltan Dienes• VariabilityRichard Skemp• Relational
Understanding
Article on Relational Understanding
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Lesson 41 16.08.12
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Lesson 41
ab To prove that angle at
centre is equal to 2a + 2b
a
16.08.12
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Northbrooks Secondary School, Singapore
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Lesson 41 10.10.11
ab To prove that angle at
centre is equal to 2a + 2b
a2a
180o - 2a
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Lesson 41 16.08.12
ab To prove that angle at
centre is equal to 2a + 2b
a
2ab2b
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key focus
singapore
mathematics
of
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problem
solving
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thinking
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excellentvehicleanforthe
development&improvement of
a person’s intellectual
competenciesMinistry of Education Singapore 2006
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conceptual
understanding
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developingvisualization
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10
10
76
3 𝑥+10+𝑥+10=764 𝑥+20=76
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x x x
x
10
10
76
3 𝑥+10+𝑥+10=764 𝑥+20=76
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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
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Singapore Math in London, UK
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King Solomon Academy, London
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Professional Learning
Singapore Math
& Teacher Preparation
www.banhar.blogspot.com
Sin
gap
ore
Math
in
The
Neth
erl
ands
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Grade 10
Grades 11 – 12
Polytechnic
University
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Teacher Preparation at NIE
Professional Development
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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)
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where mindset is changed, knowledge is
constructedand the ability to learn, enhanced
Pedagogy for Teacher Preparation
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Teachers as Learners
Pedagogy for Teacher Preparation
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Teachers as Observers
Pedagogy for Teacher Preparation
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Bina Bangsa School, Jakarta
Find the distance between two given points.
Singapore Math courses for teachers provides opportunities for teachers to ‘study’ lessons.
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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.
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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