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mathz4kidz Seminar for Parents Problem-Solving Approach in Mathematics Learning DrYeap Ban Har banhar.yeap@pathlight.org.sg Marshall Cavendish Institute Singapore
Economic wealth of a nation does not depend on its natural resources anymore. It depends on its human resource.  Perekonomiansebuahnegaratidaklagitergantungpadasumberdayaalamnyasaja, tapitergantungpadasumberdayamanusianya.  Singapore 2010
PCF Kindergarten TelokBlangah, Singapore Kualitasdarisumberdayamanusiasangatmenentukanpertumbuhanekonomisebuahnegara. The quality of a nation’s human resource determines its economic growth.
“At greatest risk are jobs that can be expressed in programmable rules – blue collar, clerical, and similar work that requires moderate skills and used to pay middle-class wages.”  Source: Levy & Murnane 2005
How the demand for skills has changedEconomy-wide measures of routine and non-routine task input (USA) Sementarakebutuhantenagakerjadengankeahlian yang tidakbiasajustrumeningkatpadaperiode yang sama. Mean task input as percentiles of  the 1960 task distribution Kebutuhantenagakerjadengankeahlian yang biasa-biasasajadanmengandalkankeahlian manual sudahsangatberkurangselama 50 tahunterakhir.  (Levy and Murnane) Source: Levy & Murnane 2005
Beliefs Interest Appreciation Confidence Perseverance Monitoring of one’s own thinking Self-regulation of learning Attitudes Metacognition Numerical calculation Algebraic manipulation Spatial visualization Data analysis Measurement Use of mathematical tools Estimation Mathematical Problem Solving Reasoning, communication & connections Thinking skills & heuristics Application & modelling Skills Processes Concepts Numerical Algebraic Geometrical Statistical Probabilistic Analytical Mathematics Curriculum Framework
PSLE: Primary 6 National Examination
PSLE: Primary 6 National Examination
Example 1 The perimeter of the figure is 99 cm. How many pieces of the triangles are used to make the figure? equilateral triangles of side 3 cm based on PSLE 2010
Example 2 A shop sells curry puffs for 40 cents each. Find the greatest number of curry puffs that can be bought using $95. 9500 ÷ 40 = 237.5 $95 ÷ $0.40 = 237.5 The greatest number of curry puffs that can be bought is 237. based on Specimen Paper PSLE
Example 3
The total number of stamps in Album A, Album B and Album C was 444 at first. Dennis gave away  3/5 of the stamps from Album A, put 24 more new stamps into Album B and added some stamps into Album C until the number of stamps in Album C became three times its original number. The ratio of the number of stamps in Album A to that in Album B to that in Album C became 2 : 5 : 9. How many more stamps were there in Album C than Album A in the end? (TeckWhye Primary School, Primary 6) Album A Album B Album C
The total number of stamps in Album A, Album B and Album C was 444 at first. Dennis gave away  3/5 of the stamps from Album A, put 24 more new stamps into Album B and added some stamps into Album C until the number of stamps in Album C became three times its original number. The ratio of the number of stamps in Album A to that in Album B to that in Album C became 2 : 5 : 9. How many more stamps were there in Album C than Album A in the end? (TeckWhye Primary School, Primary 6) 7 units  ? 7 units  36  x 7 = 210 + 42 = 252 There were 252 more stamps in Album C than Album A in the end. Album A Album B Album C 468 13 units  444 + 24 = 468 1 unit  468 ÷ 13 = 36  390 78
Example 4
ABCD is a square. Given that PQ = PR = PS and that AB is parallel to QS and is perpendicular to PR, find     QRS.  R A B Q S D P C based on PSLE 2009
Singapore Math
Princes Elizabeth Primary School Wellington Primary School
Features
Concrete Learning
CPA Approach
Kemampuanuntukvisualisasiadalahkompetensidasardalampembelajaranmatematika. The ability to visualize is a core competency in mathematics learning Maths Champion (Indonesia) Earlybird Kindergarten Mathematics
Pensar sin Limites (Chile) Maths Champion (Indonesia)
Primary Mathematics Standards Edition (United States of America) Ateneo de Manila Grade School, The Philippines
Spiral Approach
Spiral Approach
Spiral Approach
Spiral Approach
Principle of Variability
Principle of Variability
mathz4kidz, Penang Choice of Materials PCF Kindergarten TanjongPagar, Singapore
Choice of Examples
based on multiple intelligences
ACT Framework for mathz4kidz
Focus on Attitude
Focus on Communication
Fuchun Primary School, Singapore Anglo Singapore International School, Bangkok, Thailand
Focus on Thinking mathz4kidz, Penang, Malaysia
2 - = x mathz4kidz, Penang, Malaysia Focus on Thinking
ACT
Sweden Median U S A Japan Singapore TIMSS2007 Grade 4 Trends in Mathematics Advanced 3 10 5 41 23 & Science Studies High 24 40 26 74 61 Intermediate 69 77 67 92 89 their understanding Low 93 95 90 98 98 in a variety of complex situations apply and knowledge
Program for Students’ Achievement
Teacher Education Course in Chile
BinaBangsa School, Bandung, Indonesia mathz4kidz, Penang, Malaysia
Edgewood Elementary School, New York, USA Fuchun Primary School, Singapore
Catholic High School (Primary), Singapore Victory Christian International School, Manila
Escuela de Guatemala, Vina del Mar, Chile
mathz4kidz Seminar for Parents Problem-Solving Approach in Mathematics Learning DrYeap Ban Har banhar.yeap@pathlight.org.sg Marshall Cavendish Institute Singapore

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mathz4kidz for parents

  • 1. mathz4kidz Seminar for Parents Problem-Solving Approach in Mathematics Learning DrYeap Ban Har banhar.yeap@pathlight.org.sg Marshall Cavendish Institute Singapore
  • 2. Economic wealth of a nation does not depend on its natural resources anymore. It depends on its human resource. Perekonomiansebuahnegaratidaklagitergantungpadasumberdayaalamnyasaja, tapitergantungpadasumberdayamanusianya. Singapore 2010
  • 3. PCF Kindergarten TelokBlangah, Singapore Kualitasdarisumberdayamanusiasangatmenentukanpertumbuhanekonomisebuahnegara. The quality of a nation’s human resource determines its economic growth.
  • 4. “At greatest risk are jobs that can be expressed in programmable rules – blue collar, clerical, and similar work that requires moderate skills and used to pay middle-class wages.” Source: Levy & Murnane 2005
  • 5.
  • 6. How the demand for skills has changedEconomy-wide measures of routine and non-routine task input (USA) Sementarakebutuhantenagakerjadengankeahlian yang tidakbiasajustrumeningkatpadaperiode yang sama. Mean task input as percentiles of the 1960 task distribution Kebutuhantenagakerjadengankeahlian yang biasa-biasasajadanmengandalkankeahlian manual sudahsangatberkurangselama 50 tahunterakhir. (Levy and Murnane) Source: Levy & Murnane 2005
  • 7. Beliefs Interest Appreciation Confidence Perseverance Monitoring of one’s own thinking Self-regulation of learning Attitudes Metacognition Numerical calculation Algebraic manipulation Spatial visualization Data analysis Measurement Use of mathematical tools Estimation Mathematical Problem Solving Reasoning, communication & connections Thinking skills & heuristics Application & modelling Skills Processes Concepts Numerical Algebraic Geometrical Statistical Probabilistic Analytical Mathematics Curriculum Framework
  • 8. PSLE: Primary 6 National Examination
  • 9. PSLE: Primary 6 National Examination
  • 10. Example 1 The perimeter of the figure is 99 cm. How many pieces of the triangles are used to make the figure? equilateral triangles of side 3 cm based on PSLE 2010
  • 11. Example 2 A shop sells curry puffs for 40 cents each. Find the greatest number of curry puffs that can be bought using $95. 9500 ÷ 40 = 237.5 $95 ÷ $0.40 = 237.5 The greatest number of curry puffs that can be bought is 237. based on Specimen Paper PSLE
  • 13. The total number of stamps in Album A, Album B and Album C was 444 at first. Dennis gave away 3/5 of the stamps from Album A, put 24 more new stamps into Album B and added some stamps into Album C until the number of stamps in Album C became three times its original number. The ratio of the number of stamps in Album A to that in Album B to that in Album C became 2 : 5 : 9. How many more stamps were there in Album C than Album A in the end? (TeckWhye Primary School, Primary 6) Album A Album B Album C
  • 14. The total number of stamps in Album A, Album B and Album C was 444 at first. Dennis gave away 3/5 of the stamps from Album A, put 24 more new stamps into Album B and added some stamps into Album C until the number of stamps in Album C became three times its original number. The ratio of the number of stamps in Album A to that in Album B to that in Album C became 2 : 5 : 9. How many more stamps were there in Album C than Album A in the end? (TeckWhye Primary School, Primary 6) 7 units  ? 7 units  36 x 7 = 210 + 42 = 252 There were 252 more stamps in Album C than Album A in the end. Album A Album B Album C 468 13 units  444 + 24 = 468 1 unit  468 ÷ 13 = 36 390 78
  • 16. ABCD is a square. Given that PQ = PR = PS and that AB is parallel to QS and is perpendicular to PR, find QRS. R A B Q S D P C based on PSLE 2009
  • 18. Princes Elizabeth Primary School Wellington Primary School
  • 22. Kemampuanuntukvisualisasiadalahkompetensidasardalampembelajaranmatematika. The ability to visualize is a core competency in mathematics learning Maths Champion (Indonesia) Earlybird Kindergarten Mathematics
  • 23. Pensar sin Limites (Chile) Maths Champion (Indonesia)
  • 24. Primary Mathematics Standards Edition (United States of America) Ateneo de Manila Grade School, The Philippines
  • 25.
  • 26.
  • 31.
  • 34. mathz4kidz, Penang Choice of Materials PCF Kindergarten TanjongPagar, Singapore
  • 36. based on multiple intelligences
  • 37. ACT Framework for mathz4kidz
  • 39.
  • 41. Fuchun Primary School, Singapore Anglo Singapore International School, Bangkok, Thailand
  • 42. Focus on Thinking mathz4kidz, Penang, Malaysia
  • 43. 2 - = x mathz4kidz, Penang, Malaysia Focus on Thinking
  • 44.
  • 45.
  • 46.
  • 47. ACT
  • 48. Sweden Median U S A Japan Singapore TIMSS2007 Grade 4 Trends in Mathematics Advanced 3 10 5 41 23 & Science Studies High 24 40 26 74 61 Intermediate 69 77 67 92 89 their understanding Low 93 95 90 98 98 in a variety of complex situations apply and knowledge
  • 49. Program for Students’ Achievement
  • 50.
  • 51.
  • 52.
  • 54. BinaBangsa School, Bandung, Indonesia mathz4kidz, Penang, Malaysia
  • 55. Edgewood Elementary School, New York, USA Fuchun Primary School, Singapore
  • 56. Catholic High School (Primary), Singapore Victory Christian International School, Manila
  • 57. Escuela de Guatemala, Vina del Mar, Chile
  • 58. mathz4kidz Seminar for Parents Problem-Solving Approach in Mathematics Learning DrYeap Ban Har banhar.yeap@pathlight.org.sg Marshall Cavendish Institute Singapore