nctm every child counts

Photo:: Catholic High School (Primary)

NCTM 2009 Annual Meeting & Exposition

Washington D. C.

Every Child Counts Every Child Can Count

Yeap Ban-Har, Ph.D.National Institute of Education

Nanyang Technological University Singapore

banhar.yeap@nie.edu.sg

Photo: Catholic High School (Primary)

Advanced

Intermediate

Low

High

TIMSS 2007

38 4138

70 7473

89 9291

96 9897

Grade 4

Curriculum Framework

Every Child Counts

This initiative has been in place since 2005. It provides a roadmap for schools and parents to help each child maximize his or her potential in general and do well in chosen field.

Kindergarten is not part of the formal education system in Singapore. As such Grade 1 students have extremely varied competency in English and mathematics. Learning Support in Mathematics caters to students who do not have the basic numeracy experiences for one reason or another. There is a parallel learning support program for English (LSP).

Photo: Princess Elizabeth Primary School

Photo: Catholic High School (Primary)

Advanced

Intermediate

Low

High

38 4138

70 7473

89 9291

96 9897

Grade 4

Achievement Levels

By the end of Grade 4, students who still have not mastered the basics have the option to do Foundation Mathematics, instead of the regular Mathematics program. Foundation Mathematics allows students in Grades 5 and 6 to revisit the basics they missed in the first four grades using age-appropriate materials and also allows them to acquire sufficient fifth and sixth grade content to proceed to secondary school.Photo: Princess Elizabeth Primary School

Photo: Catholic High School (Primary)

Advanced

Intermediate

Low

High

Achievement Levels

38 4138

70 7473

89 9291

96 9897

Grade 4

Vision A mathematics programme that prepares youth at work and in community  MissionTo equip students with mathematical skills and attitudes at vocational level of competency and confidence that can be applied in life. The four core vocational modules are electrical, mechanical, retail and food preparation. 

Photo: Northlight School

Students who did not managed to achieve the minimum competencies required to proceed to a course of study in secondary school can enrol in one of two schools - Northlight & Pathway Assumption Schools

Every Child Counts

Every Child Can Count

.. but teachers got to help them

There is no substitute for knowing the

number facts.

Photo: PCF Telok Blangah Kindergarten

Photo: PCF Telok Blangah Kindergarten

Number Bonds

One duck is big. Six ducklings are small.

Photo: PCF Telok Blangah Kindergarten

Number Bonds

Photo: PCF Telok Blangah Kindergarten

Number Bonds

Photo: PCF Telok Blangah Kindergarten

Number Bonds

Photo: PCF Telok Blangah Kindergarten

Number Bonds

Number Bonds

Photo: PCF Telok Blangah Kindergarten

Formal treatment is delayed. Example: Addition is done only after children are familiar with number bonds. 

Informal Treatment

Photo: Princess Elizabeth Primary School

Informal Treatment

Formal treatment is delayed. Example:The formula to find the area of squares and rectangles are dealt with only at the end of a long unit of area. 

Informal Treatment

Formal treatment is delayed. Example:The idea of division of a whole number / fraction by a fraction is introduced two years before the formal treatment.

Informal Treatment

Visuals

Emphasis on Visualization

VisualizationPrimary Mathematics Standards Edition

Visualization

Visualization

Gilbert and Hazel have some postcards. After Gilbert gives 18 postcards to Hazel, he has 20 postcards more than her. How many more postcards than Hazel does Gilbert have at first?

Singapore Examination & Assessment Board

Hazel

Gilbert 20

18

Gilbert and Hazel have some postcards. After Gilbert gives 18 postcards to Hazel, he has 20 postcards more than her. How many more postcards than Hazel does Gilbert have at first?

Singapore Examination & Assessment Board

Hazel

Gilbert 20 18

Visualization

Gilbert and Hazel have some postcards. After Gilbert gives 18 postcards to Hazel, he has 20 postcards more than her. How many more postcards than Hazel does Gilbert have at first?

Singapore Examination & Assessment Board

Hazel

Gilbert 20 18

Visualization

18

Princess E

lizabeth Prim

ary School

Practicing Basics &

Engaging in Higher

Thinking

Singapore Examination & Assessment Board

Expectations

Singapore Examination & Assessment Board

Singapore Examination & Assessment Board

In a box, there are yellow, red and green beads. 1/3 of the beads in the box are yellow. There are 30 more red beads than yellow beads. The rest of the 15 beads are green. How many beads are there altogether?

Ai Tong Primary School Primary 4 Examination

Expectations

Number Bonds

InitialInformal

TreatmentVisualizationExpectations

Combining Basics & Higher

Thinking

Every Child Can Count

Every Child Counts

banhar.yeap@nie.edu.sg

www.banhar.blogspot.com

math.nie.edu.sg/T3

“Children are truly the future of our

nation. “Irving Harris

Bina Bangsa School, Indonesia

Mathematics is an excellent vehicle for

the development and improvement of a

person’s intellectual competence ..

Ministry of Education 2006