nctm every child counts
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Presentation at NCTM Annual Meeting & ExpositionTRANSCRIPT
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
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
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