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# 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. 1. FRAC TION in singapore math Dr Yeap Ban Har Marshall Cavendish Institute SingaporeSlides are available at yeapbanhar@gmail.comwww.banhar.blogspot.com
2. 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 FRACTIONSSlides are available at reviewing fundamentals of singapore mathwww.banhar.blogspot.com
3. 3. FRAC TION in singapore mathSlides are available atwww.banhar.blogspot.com
4. 4. General Overview of Singapore and its Education System  Land  700 sq km  People  4.7 million
5. 5. General Overview of Singapore and its Education System GDP per capita in current U.S. dollars 1965 \$510 2010 \$43 300
6. 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. 7. Universities National Examination Institutes of Poly Technical technics Junior Education Colleges Integrated National Examination Programmes Secondary Schools National Examination Primary SchoolsA detailed schematic diagram of Singapore’s education system is available in Education Statistics Digesthttp://www.moe.gov.sg/education/education-statistics-digest/
8. 8. THINKING SCHOOLSLEARNING NATION Singapore Ministry of Education 1997
9. 9. “Mathematics is an excellent vehicle for the developmentand improvement of a person’s intellectual competencies” Singapore Ministry of Education 2006
10. 10. 21st Century Competencies FrameworkSingapore Ministry of Education 2011
11. 11. FRAC TION in singapore math MAP202 TEACHING OF FRACTIONS pre-numeracy skillsSlides are available atwww.banhar.blogspot.com
12. 12. Pre-Numeracy Skills Matching Sorting / Classifying
13. 13. 1
14. 14. counting same units
15. 15. number bonds Earlybird Kindergarten Mathematics
16. 16. Photo: PCF Telok Blangah Kindergarten
18. 18. tens onesrenaming 1 3
19. 19. 1
20. 20. 1
21. 21. 1
22. 22. 1
23. 23. 1 addingrenaming same units
24. 24. x + 2y 3x x + 2y 3yx + 2y 3xy
25. 25. FRAC TION in singapore math Dr Yeap Ban Har Marshall Cavendish Institute SingaporeSlides are available at yeapbanhar@gmail.comwww.banhar.blogspot.com
26. 26. BASIC IDEAS OF FRACTIONS
27. 27. FRACTIONthe C P Aapproach
28. 28. FRACTIONthe C P Aapproach
29. 29. FRACTIONmathematicalvariability
30. 30. FRACTIONconceptualapproach
31. 31. FRACTION 3teaching for 3 fourths 4meaning
32. 32. St Edward’s School, Florida
33. 33. St Edward’s School, FloridaGrade 2concrete pictorial  abstract
34. 34. FRACIt does not showhalf. What does it show then? TION opportunities for differentiation It does not show fourth. What does it show then?
35. 35. My Pals Are Here! Mathematics (Second Edition)
36. 36. St Edward School, Florida Initial Concrete Experience Subsequent Pictorial RepresentationMy Pals Are Here! Mathematics (Second Edition)
37. 37. Eventual SymbolicRepresentation
38. 38. My Pals Are Here! Mathematics (Second Edition)
39. 39. 4 eighteenths1 fourth 8 9 + 36 36 Singapore Examination & Assessment Board Primary School Leaving Examination
40. 40. Primary 2 3 fifths + 1 fifth3 fourths Primary 3 3 fifths + 1 tenth3 pieces3 pencils Primary 4 3 fifths + 9 tenths Primary 5 3 fifths + 1 halfFRACTIONspiralapproach
41. 41. COMPARING FRACTIONS
42. 42. EQUIVALENT FRACTIONS
43. 43. Lim Siong GuanHead, Civil Service Singapore
44. 44. We discussed teaching We discussed visualizationmathematics versus and looking forteaching the ability to patterns. Also we discussedlearn mathematics and generic competencies includingdeveloping the belief metacognition andthat one can figure collaboration.things out by oneself.