MAP202a Teaching of Fractions 1
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This course is in two parts. Today we focus on pre-fraction ideas i.e. ideas learnt in the early grades which are important in the learning of fraction as well as basic concept of fractions. We will also examine fraction topics typically taught in lower primary levels i.e. grades one to three.
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MAP202a Teaching of Fractions 1
- 1. FRAC TION in singapore math Dr Yeap Ban Har Marshall Cavendish Institute Singapore Slides are available at yeapbanhar@gmail.com www.banhar.blogspot.com
- 2. This course is in two parts. Today FRAC we focus on pre-fraction ideas i.e. ideas learnt in the early TION grades which are important in the learning of fraction as well as in singapore basic concept of fractions. We math will also examine fraction topics typically taught in lower primary levels i.e. grades one to three. MAP202 TEACHING OF FRACTIONS Slides are available at reviewing fundamentals of singapore math www.banhar.blogspot.com
- 3. FRAC TION in singapore math Slides are available at www.banhar.blogspot.com
- 4. General Overview of Singapore and its Education System Land 700 sq km People 4.7 million
- 5. General Overview of Singapore and its Education System GDP per capita in current U.S. dollars 1965 $510 2010 $43 300
- 6. General Overview of Singapore and its Education System Students 500 000 Teachers 30 000 Principals & Vice-Principals 900 Schools 173 Primary Schools (Primary 1 – 6) 155 Secondary Schools (Secondary 1 – 4) 13 Junior Colleges (JC 1 – 2) Canossa Convent Primary School Singapore 15 Mixed-Level Schools The data refers to 1-12 school system. Pre-school is not part of the formal education system. The data excludes post-secondary education system which includes institutes of technical education, polytechnics and universities.
- 7. Universities National Examination Institutes of Poly Technical technics Junior Education Colleges Integrated National Examination Programmes Secondary Schools National Examination Primary Schools A detailed schematic diagram of Singapore’s education system is available in Education Statistics Digest http://www.moe.gov.sg/education/education-statistics-digest/
- 10. THINKING SCHOOLS LEARNING NATION Singapore Ministry of Education 1997
- 11. “Mathematics is an excellent vehicle for the development and improvement of a person’s intellectual competencies” Singapore Ministry of Education 2006
- 12. 21st Century Competencies Framework Singapore Ministry of Education 2011
- 14. FRAC TION in singapore math MAP202 TEACHING OF FRACTIONS pre-numeracy skills Slides are available at www.banhar.blogspot.com
- 15. Pre-Numeracy Skills Matching Sorting / Classifying
- 18. 1
- 21. counting same units
- 22. number bonds Earlybird Kindergarten Mathematics
- 23. Photo: PCF Telok Blangah Kindergarten
- 26. tens ones renaming 1 3
- 27. 1
- 28. 1
- 29. 1
- 30. 1
- 31. 1 adding renaming same units
- 32. x + 2y 3x x + 2y 3y x + 2y 3xy
- 33. FRAC TION in singapore math Dr Yeap Ban Har Marshall Cavendish Institute Singapore Slides are available at yeapbanhar@gmail.com www.banhar.blogspot.com
- 34. BASIC IDEAS OF FRACTIONS
- 35. FRAC TION the C P A approach
- 36. FRAC TION the C P A approach
- 39. FRAC TION 3 teaching for 3 fourths 4 meaning
- 40. St Edward’s School, Florida
- 41. St Edward’s School, Florida Grade 2 concrete pictorial abstract
- 42. FRAC It does not show half. What does it show then? TION opportunities for differentiation It does not show fourth. What does it show then?
- 43. My Pals Are Here! Mathematics (Second Edition)
- 44. St Edward School, Florida Initial Concrete Experience Subsequent Pictorial Representation My Pals Are Here! Mathematics (Second Edition)
- 46. My Pals Are Here! Mathematics (Second Edition)
- 47. 4 eighteenths 1 fourth 8 9 + 36 36 Singapore Examination & Assessment Board Primary School Leaving Examination
- 48. Primary 2 3 fifths + 1 fifth 3 fourths Primary 3 3 fifths + 1 tenth 3 pieces 3 pencils Primary 4 3 fifths + 9 tenths Primary 5 3 fifths + 1 half FRAC TION spiral approach
- 57. Lim Siong Guan Head, Civil Service Singapore
- 58. We discussed teaching We discussed visualization mathematics versus and looking for teaching the ability to patterns. Also we discussed learn mathematics and generic competencies including developing the belief metacognition and that one can figure collaboration. things out by oneself.