singapore math seminar at minneapolis mn

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Experiencing Singapore Math J u l y 2 3 , 2 0 1 2 M i n n e a p o l i s , M N

Yeap Ban HarMarshall Cavendish Institute

Singapore

[email protected]

Slides are available atwww.banhar.blogspot.com

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Land 270 sq miles

People 4.7 million

GDP per capita 1965 USD510 2010 USD43,300

in current USD

Junyuan Secondary School, Singapore

introduction

General Overview of Singapore and its Education System

General Overview of Singapore and its Education System

Students 500 000

Teachers 30 000

Principals & Vice-Principals 900

Schools 173 Primary Schools (Primary 1 – 6) 155 Secondary Schools (Secondary 1 – 4) 13 Junior Colleges (JC 1 – 2) 15 Mixed-Level Schools

The data refers to 1-12 school system. Pre-school is not part of the formal education system. The data excludes post-secondary education system which includes institutes of technical education, polytechnics and universities.

Canossa Convent Primary School, Singapore

High achievement was not a given. In 1960, among 30 615 candidates who sat for the first Primary School Leaving Examination, 45% of the candidates passed.

Keon Ming Public School, Singapore

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Score 1960-1970s 1980s 1990s 2000s

500 Japan JapanKorea

Hong Kong

JapanKorea

SingaporeHong Kong

JapanKorea

Hong KongSingapore

400 Thailand SingaporeThailand

The Philippines

MalaysiaThailand

MalaysiaThailand

300 IndonesiaThe Philippines

IndonesiaThe Philippines

Reference: E. Hanusek, D. Jamison, E. Jamison & L. Woessmann (2008)

All major international tests (literacy, science and mathematics) between 1964 and 2003 were placed on a common scale. Selected countries shown in the table.

"Solving problems is central to mathematical proficiency and is articulated to a varying degree across the international curricula. Singapore applies the highest degree of specificity to it, placing it at the centre of all mathematical learning.“

Review of the National Curriculum in England Research Report UK Department for Education

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1992Introduction of Problem-

Solving Curriculum

1997Thinking SchoolsLearning Nation

1982Introduction of Singapore mathematics

textbooks as they are known today.

2001Introduction of textbooks published by

private publishers and approved by Ministry of Education.

2007New editions of textbooks are

published with the introduction of the revised curriculum.

Mathematics is “an excellent vehicle for the

development and improvement of a person’s intellectual competence”.

Ministry of Education Singapore 2006

Page 1

2013Fourth version of the problem-solving

curriculum will be implemented.

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Page 4

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Fundamentals of Singapore Math

Focus on VisualizationYeap Ban Har

Marshall Cavendish InstituteSingapore

[email protected]


110 g

290 g Page 2

110 g

??

2 units = 290 g – 110 g = 180 g

1 units = 180 g 2 = 90 g

3 x 90 g = 270 gBella puts 270 g sugar on the dish.

Escuela de Guetamala, Chile

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x + 2x = 12

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King Solomon Academy, London

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Edgewood Elementary School, New York

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Globe Academy, London

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3x – 2 = 8


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Relational Understanding R Skemp

Concrete Introduction J Bruner


what & how

Page 08Page 13

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Share 3 fourths equally among 3.

3 fourths 3 = 1 fourth

Page 5

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Share 3 fourths equally between 2.

3 fourths 2 = 6 eighths 2= 3 eighths

Share 3 fourths equally among 4.

3 fourths 4 = 12 sixteenths 4= 3 sixteenths

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12 cookies 4

12 pieces 4

12 sixteenths 4

12 tenths 4

12 x 4

12 cookies 4 cookies

12 pieces 4 pieces

12 x 4 x

34

÷1434

÷12

Page 13

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Concrete to Visual J Bruner

Human Intelligences H Gardner


visualization

Page 11


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Focus on PatternsYeap Ban Har


[email protected]


C H E R Y L

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C H E R Y LWhich letter is 99?

D A V I D

Da Qiao Primary School, Singapore

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Emphasis on Generalization

Explicit instruction to engage in higher-order competencies such as

to look for a pattern.

My Pals Are Here! Mathematics (Second Edition)

Emphasis on Generalization

There are sections

devoted to higher-order

thinking which includes pattern

observation.

My Pals Are Here! Mathematics (Second Edition)

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Mathematical Practices

“Mathematically proficient students

look closely to discern a pattern or structure.”


patterns and generalization

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Challenging Word Problems using Bar

ModelsYeap Ban Har


[email protected]


110 g

??

2 units = 290 g – 110 g = 180 g

1 units = 180 g 2 = 90 g

3 x 90 g = 270 gBella puts 270 g sugar on the dish.

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Page 15

Math in FocusGrade 1

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Math in FocusGrade 2

Escuela de Guetamala, Chile

One day, 543 cars and 274 buses pass through a toll booth. How many cars and buses pass through the toll booth?

Math in Focus Grade 2

543

274

cars

buses

543 + 274 =

543 274

cars buses

Lesson 6 June 20, 2012

Carl

Ben

$4686

Differentiated instruction for students who have difficulty with

standard algorithms. Use number bonds.

2x + x = 4686

3x = 4686

Students in Grade 7 may use algebra to deal with such situations. Bar model is actual linear equations in pictorial form.

Lesson June 18, 2012

Jack

Kyla

had

$2

more

than

Jack

Kyla

gave

$3


Open Lesson at Hawaii, USA


Story 1Jack had $3.Jack gave Kyla $2 more.

Jack Kyla

Before $3 $1 $5 $19

After $1 $3 $7 ?

What if Kyla had this amount before?


Story 2Kyla had $3 more than Jack.

Jack

Kyla

Jack gave Kyla $2.

$2

$3

Who had more money afterwards? How much

more?

Kyla had $3 more than Jack.Jack gave Kyla $2.How much more did Kyla have than Jack?

Students in Grade 6 may use algebra to deal with Story 2.

Kyla had $(x + 3)Jack had $x

Then, Jack had $(x – 2)And Kyla had $(x + 5)

Kyla had $(x + 5) – $(x – 2) or $7 more than Jack.

Lesson July 23, 2012

In the end ...

At first …

Alice

Betty

Charmaine

Dolly

20

10

Lesson 7 June 18, 2012

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Concrete to Visual J Bruner

Human Intelligences H Gardner


visualizationand managing

information

can learn.Our students must

too.

Google learns from typos and spelling mistakes we all make when searching to help give you quicker and more accurate search results. So if you type ‘grizzly pears’, we can guess that you probably meant ‘grizzly bears’.

Goggle does not have a degree in English. We can do this because over the years we’ve studied how people search and learned what the most common errors are. So it’s good to know that all those little mistakes aren’t made in vain.

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Experiencing Singapore Math J u l y 2 3 , 2 0 1 2 M i n n e s o t a

Yeap Ban HarMarshall Cavendish Institute

Singapore

[email protected]


singapore math seminar at minneapolis mn

Education

singapore page

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