alabama amsti

Math Leadership SymposiumAlabama Math, Science and Technology Initiative

Alabama Department of Education

Education TransformationSome Key Initiatives Related to Mathematics Education

in Singapore

Yeap Ban HarMarshall Cavendish Institute

Singapore

yeapbanhar@gmail.com

Slides are available atwww.banhar.blogspot.com

Birmingham Museum of Art

Land 270 sq miles

People 4.7 million

GDP per capita 1965 USD510 2010 USD43,300

in current USD

SingaporeEducation Transformation

Junyuan Secondary School, Singapore

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

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)

SingaporeEducation Transformation

Ministry of Education Singapore, 2006

problem-solvingcurriculum

since 1992 …

SingaporeEducation Transformation

Wellington Primary School, Singapore

thinking schoolslearning nation

since 1997 …

Mathematics is “an excellent vehicle for the development and improvement of a person’s intellectual competence”.

Ministry of Education (Singapore) 2006

Junyuan Secondary School, Singapore

SingaporeEducation Transformation

Edgewood Elementary School, Scarsdale

student-centricvalues-driven

since 2011…

education

SingaporeEducation Transformation

problem solving& thinking

national test …

SingaporeEducation Transformation

3 units = 181 units = 18 3 = 6

6 x 8 = 48There were 48 coins at first.

SingaporeEducation Transformation

SingaporeEducation Transformation

SingaporeEducation Transformation

ABCD is a square.So, AB = BCMN = AB and PQ = BCSo, MN = PQ

It is given that PQ = MQ and NQSo, MNQ is equilateral triangle.

Angle MQN = 60o

Angle PQN = 30o

PQN is isosceles triangle.Angle QPN = 75o

Angle MPN = 150o

SingaporeEducation Transformation

2010 Grade 6 National Examination in Mathematics

National Average

Quality Pass 43.3%Pass 84.0%

Canossa Convent Primary School, Singapore

SingaporeEducation Transformation

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

SingaporeEducation Transformation

SingaporeEducation Transformation

xKeys Grade School, Manila, The Philippines

Pre-servive teacher education at National Institute of Education, Singapore

Bachelor Degree

PGDE

Bachelor Degree

with Diploma

in Education

Grade 12 or Polytechnic

Diploma

Diploma in Education

Each teacher receives about 120 hours of specialist training in

teaching mathematics as part of pre-service teacher education.

SingaporeEducation Transformation

North Vista Primary School, Singapore

Teacher Professional Development for Early Childhood Teachers in Singapore

Da Qiao Primary School, Singapore

SingaporeEducation Transformation

Curriculum That Focuses on 21st Century SkillsArchipelschool De Tweemaster – Kameleon,

The Netherlands

King Solomon Academy,London

High School Attached to Tsukuba University,Japan

SingaporeEducation Transformation

National Examination

Bukit View Primary School, Singapore

Pathlight School, Singapore

Textbooks & Professional Development

Math in Focus

Keys Grade School, The Philippines

Lesson Study at Da Qiao Primary School, Singapore

In-service Professional Development in Chile

In-service Professional Development in The Philippines

Yeap Ban HarMarshall Cavendish Institute

Singapore

yeapbanhar@gmail.com

Slides are available atwww.banhar.blogspot.com

Math Leadership SymposiumAlabama Math, Science and Technology Initiative

Alabama Department of Education

Foundations of Singapore Math

Yeap Ban HarMarshall Cavendish Institute

Singapore

yeapbanhar@gmail.com

Slides are available atwww.banhar.blogspot.com

Birmingham Museum of Art

110 g

290 g

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.

emphasis visualization

Experiencing Singapore Math

Escuela de Guetamala, Chile

Experiencing Singapore Math

x + 2x = 12

C H E R Y L

C H E R Y L1

C H E R Y L2

C H E R Y L3

C H E R Y L4

C H E R Y L5

C H E R Y L6

C H E R Y L7

C H E R Y L8

C H E R Y L9

C H E R Y L

C H E R Y L

C H E R Y L

C H E R Y L

C H E R Y L

C H E R Y LWhich letter is 99?

D A V I D

Emphasis on Generalization

Looking for patterns and making generalization is also emphasized.This emphasizes the relatedness between the 2, 4 and 8 times table.

This emphasizes a general idea – the use of doubling to multiply.

Reference: Yeap (2011) International Conference on School Mathematics Textbooks held in Shanghai, China

Primary Mathematics (Third Edition)

Emphasis on Generalization

Explicit request 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 of the

later series devoted to

higher-order thinking.

My Pals Are Here! Mathematics (Second Edition)

emphasis generalization

Math Leadership SymposiumAlabama Math, Science and Technology Initiative

Alabama Department of Education

Experiencing Singapore Math

Yeap Ban HarMarshall Cavendish Institute

Singapore

yeapbanhar@gmail.com

Slides are available atwww.banhar.blogspot.com

Birmingham Museum of Art

Singapore MathLearn New Concept Through

Problem Solving

Singapore MathDrill-and-Practice Through

Problem Solving

Singapore MathApplying Knowledge in

Problem Solving

emphasis concretepictorialabstract

emphasis spiral

Experiencing Singapore Math

Experiencing Singapore Math

Math in Focus

Experiencing Singapore Math

Math in Focus

Experiencing Singapore Math

Math in Focus

Experiencing Singapore Math

Math in Focus

Experiencing Singapore Math

Math in Focus

Experiencing Singapore Math

Math in Focus

Experiencing Singapore Math

Math in Focus

Experiencing Singapore Math

Math in Focus

Experiencing Singapore Math

Math in Focus

Experiencing Singapore Math

Math in Focus

Experiencing Singapore Math

Math in Focus

Experiencing Singapore Math

Da Qiao Primary School, Singapore

emphasis variation

Jay has 12 cookies.Kimi has 9 cookies.How many cookies do they have altogether?

Marcus has 12 cookies.He has 9 cookies fewer than Natalie.How many cookies does Natalie have?

Sam had some cookies.He gave 9 cookies to Terrie.Then he had 12 cookies left.How many cookies Sam had at first?

tens ones

Fuchun Primary School, Singapore

Keys Grade School, The Philippines

Yeap Ban HarMarshall Cavendish Institute

Singapore

yeapbanhar@gmail.com

Slides are available atwww.banhar.blogspot.com

King Solomon Academy, London