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Spiral Approach to Teaching Mathematics The presentation slides are available at  www.mathz4kidz.com   Dr Yeap Ban Har National Institute of Education Nanyang Technological University  Singapore [email_address]
Singapore Education System
About Singapore Education System ,[object Object],[object Object]
About Singapore Education Singapore ,[object Object],[object Object]
About Singapore Education Singapore ,[object Object],[object Object]
Education System in Singapore ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],We also have specialized schools like sports school, school for the arts, science and technology school, mathematics and science high school as well as two schools for struggling students. Some students go polytechnics after secondary school.
Mathematics Curriculum  in Singapore
 
The Singapore mathematics curriculum states that “an emphasis on mathematics education will ensure that we have an increasingly  competitive workforce  to meet the challenges of the 21st century”
The rationale of teaching mathematics is that it is “a  good vehicle  for the development and improvement of a person’s  intellectual competence ”.
Mathematics Curriculum in Singapore New Syllabus Mathematics is used for Secondary 1 to Secondary 4. New Syllabus Additional Mathematics is used by students good in mathematics in Secondary 3 and Secondary 4.
Problem-Solving Curriculum
TEACHING THROUGH PROBLEM SOLVING ,[object Object]
Activity Draw a 4-sided polygon. Cut it into triangles. How many triangles can you get?
 
WHAT IS PROBLEM SOLVING? ,[object Object]
[object Object],[object Object],[object Object]
(1, 12) (4, 14) (7, 16) (1+3t, 12+2t) At time t, the fly is at (1+3t, 12+2t)  And the spider is at (85-5t, k+5t)  Given that the fly caught the spider: 1 + 3t = 85 – 5t and 12 + 2t = k + 5t 8t = 84 or t = 10.5 k = 12 – 3 (10.5) = …
Spiral Curriculum
 
 
 
 
TEACHING AS EXTENDING STUDENTS’ KNOWLEDGE (PIAGET) ,[object Object]
 
Spiral Curriculum
Spiral Approach ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Spiral Approach ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Meaningful Learning
Grade 8 Lesson on Volume of Pyramid ,[object Object]
TEACHING AS DEVELOPING CONCEPTUAL UNDERSTANDING (SKEMP) ,[object Object]
21st Century Curriculum
WHY STUDENTS LEARN MATHEMATICS? ,[object Object]
Visualization
Modelling
Connection
 
Communication
Outcomes
Learning Outcomes:  Achievement & Attitude
HOW WELL HAVE THE STUDENTS LEARN? ,[object Object]
International Benchmarks
Advanced Intermediate Low High 2 40 31 15 70 64 46 88 85 75 97 94 Grade 8 Telok Kurau Primary School TIMSS Trends in International Maths and Science Studies 45 40 71 71 86 90 95 98
Advanced Intermediate Low High 2 3 0 15 12 4 46 44 14 75 66 48 Grade 8 Effective Methods in Teaching Mathematics TIMSS Trends in International Maths and Science Studies 40 2 70 18 88 50 97 82
 
 
Advanced Intermediate Low High 41 74 92 98 Singapore Catholic High School (Primary) TIMSS Trends in International Maths and Science Studies 40 70 88 97
Advanced Intermediate Low High 10 40 77 95 U S A Catholic High School (Primary) TIMSS Trends in International Maths and Science Studies 6 31 67 92
Advanced Intermediate Low High 16 48 79 94 England Catholic High School (Primary) TIMSS Trends in International Maths and Science Studies 8 35 69 90
Advanced Intermediate Low High 5 26 67 90 International Catholic High School (Primary) TIMSS Trends in International Maths and Science Studies 2 15 46 75

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