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Singapore Math & Teacher Preparation
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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
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
