Catholic Education Council Seminar Jakarta Mpk 22 Jan

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Mentari - Catholic Education Council (MPK) Seminar
January 2010
Teaching Mathematics in Effectively for the 21st Century

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Catholic Education Council Seminar Jakarta Mpk 22 Jan

  1. 1. Teaching Mathematics Effectively for the 21 st Century Yeap Ban-Har, Ph.D. National Institute of Education Nanyang Technological University Singapore [email_address]
  2. 2. The MPK Lecture Teaching Mathematics Effectively to Engage Students for the 21 st Century Catholic High School (Primary)
  3. 3. introduction Wellington Primary School
  4. 4. Task <ul><li>Move 3 sticks to make 2 squares. </li></ul>
  5. 5. Task <ul><li>Move 3 sticks to make 2 squares. </li></ul>
  6. 6. Task <ul><li>Move 3 sticks to make 2 squares. </li></ul>
  7. 7. Task <ul><li>Move 3 sticks to make 3 squares. </li></ul>
  8. 8. Task <ul><li>Move 3 sticks to make 3 squares. </li></ul>
  9. 9. Task <ul><li>Move 3 sticks to make 3 squares. </li></ul>
  10. 10. <ul><li>88 children took part in a swimming competition. 1/3 of the boys and 3/7 of the girls wore swimming goggles. Altogether 34 children wore swimming goggles. </li></ul><ul><li>How many girls wore swimming goggles on that day? </li></ul>A Problem from Singapore Classroom Fairfield Methodist Primary School 88 anak mengikuti perlombaan berenang. 1/3 anak laki-laki dan 3/7 anak perempuan memakai kacamata renang. Total ada 34 anak yang memakai kacamata renang. Berapa jumlah anak perempuan yang memakai kacamata renang pada hari itu?
  11. 11. <ul><li>88 anak mengikuti perlombaan berenang. 1/3 anak laki-laki dan 3/7 anak perempuan memakai kacamata renang. </li></ul><ul><li>Total ada 34 anak yang memakai kacamata renang. </li></ul><ul><li>Berapa jumlah anak perempuan yang memakai kacamata renang pada hari itu? </li></ul>A Problem from Singapore Classroom Fairfield Methodist Primary School
  12. 12. <ul><li>88 children took part in a swimming competition. 1/3 of the boys and 3/7 of the girls wore swimming goggles. Altogether 34 children wore swimming goggles. </li></ul><ul><li>How many girls wore swimming goggles on that day? </li></ul>88 anak mengikuti perlombaan berenang. 1/3 anak laki-laki dan 3/7 anak perempuan memakai kacamata renang. Total ada 34 anak yang memakai kacamata renang. Berapa jumlah anak perempuan yang memakai kacamata renang pada hari itu?
  13. 13. 34 88 54 <ul><li>88 children took part in a swimming competition. 1/3 of the boys and 3/7 of the girls wore swimming goggles. Altogether 34 children wore swimming goggles. </li></ul><ul><li>How many girls wore swimming goggles on that day? </li></ul>88 anak mengikuti perlombaan berenang. 1/3 anak laki-laki dan 3/7 anak perempuan memakai kacamata renang. Total ada 34 anak yang memakai kacamata renang. Berapa jumlah anak perempuan yang memakai kacamata renang pada hari itu?
  14. 14. 34 54 – 34 = 20 34 – 20 = 14 54
  15. 15. 3 x 7 = 21 21 girls wear goggles. A Curriculum That Helps Average Students Reach High Achievement 21 anak perempuan memakai kacamata renang Kurikulum yang membantu murid-murid dengan kemampuan biasa / rata-rata mencapai prestasi yang tinggi.
  16. 17. Mathematics Curriculum Framework Mathematical Problem Solving Attitudes Metacognition Processes Concepts Skills Numerical Algebraic Geometrical Statistical Probabilistic Analytical Reasoning, communication & connections Thinking skills & heuristics Application & modelling Numerical calculation Algebraic manipulation Spatial visualization Data analysis Measurement Use of mathematical tools Estimation Monitoring of one’s own thinking Self-regulation of learning Beliefs Interest Appreciation Confidence Perseverance
  17. 18. Advanced Intermediate Low High 38 41 38 70 74 73 89 92 91 96 98 97 Grade 4 Catholic High School (Primary) TIMSS Trends in International Maths and Science Studies
  18. 19. Advanced Intermediate Low High 3 10 5 24 40 26 69 77 67 93 95 90 Grade 4 Elementary School in Japan TIMSS Trends in International Maths and Science Studies 41 23 74 61 92 89 98 98
  19. 20. 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
  20. 21. 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
  21. 22. mathematics teaching effective Bina Bangsa School, Indonesia
  22. 23. Pedagogical Principle: Bruner Prinsip Pedagogi: Bruner Primary Mathematics 1A
  23. 24. Number Bonds PCF Kindergarten Telok Blangah
  24. 25. Number Bonds PCF Kindergarten Telok Blangah
  25. 26. Bruner <ul><li>The concrete  pictorial  abstract approach is used to help the majority of learners to develop strong foundation in mathematics. </li></ul>National Institute of Education Pendekatan kongkret  gambar  abstrak , dipergunakan untuk menolong sebagian besar pelajar untuk membangun dasar matematika yang kuat. Division Pembagian
  26. 27. My Pals Are Here! Mathematics 1B Division Pembagian
  27. 28. Photo: Princess Elizabeth Primary School Division Pembagian
  28. 29. My Pals Are Here! Mathematics 1B Division Pembagian
  29. 30. summary Elementary School in Chile
  30. 31. Skemp <ul><li>Understanding in mathematics </li></ul><ul><li>relational </li></ul><ul><li>(conceptual) </li></ul><ul><li>instrumental </li></ul><ul><li>(procedural) </li></ul><ul><li>conventional </li></ul><ul><li>Teaching for conceptual understanding is given emphasis in Singapore Math. </li></ul>Pedagogical Principle: Skemp Prinsip Pedagogi: Skemp Primary Mathematics Standards Edition Grade 6
  31. 32. Skemp <ul><li>Matematika Singapura menitik-beratkan pengajaran pada pemahaman konsep. </li></ul>Pedagogical Principle: Skemp Prinsip Pedagogi: Skemp Primary Mathematics Standards Edition Grade 6
  32. 33. Fraction Division Pembagian Pecahan Primary Mathematics Standards Edition Grade 6
  33. 34. Primary Mathematics Standards Edition Grade 6 3 kue dibagi secara rata kepada beberapa anak. Setiap anak mendapatkan ¾ bagian kue. Berapa anak yang mendapatkan ¾ bagian kue? Jika Anda memotong 1 bagian penuh menjadi ¾ bagian, Anda mendapatkan 1 dan 1/3 tiga seperempat. Jadi, di dalam 3 bagian penuh ada 3 x 1 1/3 atau 3 x 4/3.
  34. 35. summary Scarsdale Middle School New York
  35. 36. How to make sure the butterfly cannot fly How do you get a butterfly? First there is the egg which hatches into a caterpillar. The caterpillar eats and grows. At the right time, it makes a cocoon out of its own body. While in the cocoon, the caterpillar changes into a butterfly. When the butterfly is ready, it starts to break through the cocoon. First a hole appears. Then the butterfly struggles to come out through the hole. This can take a few hours. If you try to &quot;help&quot; the butterfly by cutting the cocoon, the butterfly will come out easily but it will never fly. Your &quot;help&quot; has destroyed the butterfly. The butterfly can fly because it has to struggle to come out. The pushing forces lots of enzymes from the body to the wing tips. This strengthens the muscles, and reduces the body weight. In this way, the butterfly will be able to fly the moment it comes out of the cocoon. Otherwise it will simply fall to the ground, crawl around with a swollen body and shrunken wings, and soon die. If the butterfly is not left to struggle to come out of the cocoon, it will never fly. We can learn an important lesson from the butterfly. If we do not have struggles and challenges in our work, we will never grow strong and capable. If life has no difficulties, we will become weak and helpless. Lim Siong Guan Head, Civil Service
  36. 37. Primary Mathematics Standards Edition Pedagogical Principle: Dienes Prinsip Pedagogi: Dienes Dienes Dienes encouraged the use of variation in mathematics education – perceptual variation and mathematical variation. Dienes menganjurkan penggunaan variasi dalam pengajaran matematika - variasi persepsi dan variasi matematika.
  37. 38. Pedagogical Principle: Dienes Prinsip Pedagogi: Dienes
  38. 39. Pedagogical Principle: Dienes Prinsip Pedagogi: Dienes
  39. 40. Jane berlatih piano selama ¾ jam per hari. Berapa menit dia berlatih setiap harinya? 1 jam = 60 menit 60 ÷ 4 = 15 15 x 3 = 45 ¾ x 60 = 45
  40. 41. Di sebuah kelas, 2/5 muridnya memakai kacamata. a) Berapa bagiankah murid yang tidak memakai kacamata? b) Jika 16 murid memakai kacamata, berapa jumlah murid seluruhnya? 16 Mathematical Variation Variasi dari segi Matematika
  41. 42. Nicole membeli 30 butir telur. Dia memakai 2/3 telur yang dibeli untuk memanggang kue. Berapa telur yang tersisa? Di sebuah kelas, 2/5 muridnya memakai kacamata. a) Berapa bagiankah murid yang tidak memakai kacamata? b) Jika 16 murid memakai kacamata, berapa jumlah murid seluruhnya? 16 30 Mathematical Variation Variasi dari segi Matematika
  42. 43. effective Keys Grade School , Manila teaching
  43. 44. Pictorial Before Abstract Gambar sebelum abstrak
  44. 45. Primary Mathematics Standards Edition Perceptual Variation Variasi dari segi persepsi
  45. 46. Mathematical Variation Variasi dari segi matematika
  46. 47. Emphasis on pictorial representation and systematic variation to enhance conceptual understanding Penekanan pada pemaparan visual dan variasi sistematis memperkuat pemahaman konsep
  47. 48. 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
  48. 49. 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
  49. 50. 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
  50. 51. 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
  51. 52. conclusion PCF Kindergarten Pasir Ris
  52. 53. Mathematics is an excellent vehicle for the development and improvement of a person’s intellectual competence .. Ministry of Education 2006 Fuchun Primary School Matematika adalah kendaraan / alat yang hebat untuk membangun dan memperbaiki kompetensi dan intelektual seseorang …
  53. 54. Bina Bangsa School Bandung Patterns
  54. 55. Patterns Bina Bangsa School Bandung
  55. 56. SD Negeri in Palembang Visualization
  56. 57. Teacher Training for LEAP Programme for Public School Teachers in Manila Visualization
  57. 58. mathz4kidz Learning Centre in Malaysia Communication
  58. 59. Pathlight School Communication
  59. 60. Primary 2 Wellington Primary School Primary Mathematics Syllabus 2007
  60. 61. Balestier Hill Primary School Fuchun Primary School Primary Mathematics Syllabus 2007
  61. 62. Princess Elizabeth Primary School
  62. 63. “ C hild r e n a r e t rul y t h e futu r e o f o u r nati o n . “ Irving Harris

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