UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdf
NCTM Every Child Counts
1. Photo:: Catholic High School (Primary) NCTM 2009 Annual Meeting & Exposition Washington D. C.
2. Every Child Counts Every Child Can Count Yeap Ban-Har, Ph.D. National Institute of Education Nanyang Technological University Singapore [email_address]
3. TIMSS 2007 Photo: Catholic High School (Primary) Advanced Intermediate Low High 38 41 38 70 74 73 89 92 91 96 98 97 Grade 4
6. 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.
7. 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
8. Photo: Catholic High School (Primary) Advanced Intermediate Low High 38 41 38 70 74 73 89 92 91 96 98 97 Grade 4 A c h i e v e m e n t L e v e l s
9. 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
10. A c h i e v e m e n t L e v e l s Photo: Catholic High School (Primary) Advanced Intermediate Low High 38 41 38 70 74 73 89 92 91 96 98 97 Grade 4
11. Vision A mathematics programme that prepares youth at work and in community Mission To 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
28. 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
29. 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
35. 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
36. 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
37. 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
42. 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
43. Number Bonds Initial Informal Treatment Visualization Expectations Combining Basics & Higher Thinking Every Child Can Count Every Child Counts