Rajabhat Maha Sarakham University, like all other Rajabhat Universities in Thailand, grew out of teacher training colleges. Today, RMU is one of two universities in Thailand that offer doctoral degree in mathematics education.

1. MahasarakhamRajabhat University Transforming The Mathematics Classroom Dr Yeap Ban Har Principal Marshall Cavendish Institute Singapore Director for Curriculum & Professional Development Pathlight School Singapore 12 – 13 August 2010 Princess Elizabeth Primary School CHIJ Our Lady of Good Counsel Day 2 Catholic High School (Primary) Keys Grade School, Manila

2. effective mathematics teaching learning theories BinaBangsa School, Indonesia

3. Bruner

4. Bruner The concrete  pictorial  abstract approach is used to help the majority of learners to develop strong foundation in mathematics. Division National Institute of Education, Singapore

7. Division Princess Elizabeth Primary School, Singapore

8. mathz4kidz Learning Centre, Penang, Malaysia bruner’s theory concrete A lesson from Earlybird Kindergarten Mathematics

9. mathz4kidz Learning Centre, Penang, Malaysia concrete experiences

10. mathz4kidz Learning Centre, Penang, Malaysia from concrete to pictorial

11. from pictorial to abstract All Kids Are Intelligent Series

12. mathz4kidz Learning Centre, Penang, Malaysia symbols

13. using concrete materials Professional Development in AteneoGrade School, Manila, The Philippines Lesson Study in a Ministry of Education Seminar on Singapore Mathematics Teaching Methods in Chile

14. Multiplication Catholic High School (Primary), Singapore

15. Primary Mathematics (Standards Edition) 2A Pictorial Before Abstract

16. bruner Lesson Study in a Ministry of Education Seminar on Singapore Mathematics Teaching Methods in Chile

17. skemp’s theory conceptual understanding BinaBangsa School, Semarang, Indonesia

18. Keys Grade School, Manila, The Philippines

19. Keys Grade School, Manila, The Philippines

20. Skemp Understanding in mathematics relational (conceptual) instrumental (procedural) conventional Teaching for conceptual understanding is given emphasis in Singapore Math. Pedagogical Principle: Skemp Primary Mathematics Standards Edition Grade 6

21. skemp Scarsdale Middle School, New York

22. Spiral Approach

23. Spiral Spiral Within Grade Grade 2 Lesson 1 347 + 129 Lesson 2 182 + 93 Lesson 3 278 + 86 Spiral Between Grade Grade 1 Adding up to 100 Grade 2 Adding up to 1000 Grade 3 Adding up to 10000

24. Spiral Spiral Between Grade Grade 2 Add 1/5 and 2/5 Grade 3 Add 1/5 and 1/10 Is adding 1/5 and 1/10 the same as adding 1/5 and 3/10? Grade 4 Add 3/5 and 4/5 Add 5/6 and 1/3 Grade 5 Add 2/5 and 1/4 Add 4/5 and 3/4 Add 1 ¾ and 2 ½

25. Spiral Within and Between Grades

28. focus on visualization bar model method Wellington Primary School, Singapore

29. TIMSS 2007 Trends in International Mathematics and Science Studies Average Indonesia Thailand Malaysia Singapore Grade 8 Advanced 2 3 0 40 2 High 15 12 4 70 18 Intermediate 46 44 14 88 50 Low 75 66 48 97 82 Method Used in Singapore Textbooks

30. mathematics education “ an excellent vehicle for the development and improvement of a person’s intellectual competence ” Wellington Primary School, Singapore Ministry of Education Singapore 2006

31. Move 3 sticks to get two squares.

32. Move 3 sticks to get two squares.

33. Wellington Primary School, Singapore

34. Wellington Primary School, Singapore

35. Wellington Primary School, Singapore

36. Wellington Primary School, Singapore

37. Wellington Primary School, Singapore

38. Wellington Primary School, Singapore

39. “…development and improvement of a person’s intellectual competencies...” such as visualization Singapore Ministry of Education 2006

40. Primary Mathematics Standards Edition

41. model method in kindergarten and early grades

42. Ali has 3 sweets. Billy has 5 sweets. How many sweets do they have altogether?

45. model method in upper grades

46. Cheryl has $20 less than David. Cheryl and David have $148 altogether, Find the amount of money Cheryl has. Cheryl $148 20 David

47. Cheryl has $20 less than David. Cheryl and David have $148 altogether, Find the amount of money Cheryl has. Cheryl $148 - $20 = $128 20 David $128 ÷ 2 = $64 Cheryl has $64. How about David? $84

48. Cheryl has $20 less than David. Cheryl and David have $148 altogether, Find the amount of money Cheryl has. Cheryl $148 20 David

49. Cheryl has $20 less than David. Cheryl and David have $148 altogether, Find the amount of money Cheryl has. 20 Cheryl $148 + $20 = $168 20 David $168 ÷ 2 = $84 David has $84. Cheryl has $64.

53. At first Shop A had 156 kg of rice and Shop B had 72 kg of rice. After each shop sold the same quantity of rice, the amount of rice that Shop A had was 4 times that of Shop B. How many kilograms of rice did Shop A sell? 156 kg A B 72 kg

54. At first Shop A had 156 kg of rice and Shop B had 72 kg of rice. After each shop sold the same quantity of rice, the amount of rice that Shop A had was 4 times that of Shop B. How many kilograms of rice did Shop A sell? 3 units = 156 kg – 72 kg = 84 kg 1 unit = 28 kg Each shop sold 64 kg of rice. 156 kg A 28 B 72 kg

55. Siti packs her clothes into a suitcase and it weighs 29 kg. Rahim packs his clothes into an identical suitcase and it weighs 11 kg. Siti’s clothes are three times as heavy as Rahim’s clothes. What is the mass of Rahim’s clothes? What is the mass of the suitcase? 29 kg Siti Rahim 11 kg

56. Siti packs her clothes into a suitcase and it weighs 29 kg. Rahim packs his clothes into an identical suitcase and it weighs 11 kg. Siti’s clothes are three times as heavy as Rahim’s clothes. What is the mass of Rahim’s clothes? What is the mass of the suitcase? 29 kg 11 kg 18 kg Siti 2 units = 18 kg 1 unit = 9 kg Rahim Rahim’s clothes is 9 kg. The suitcase is 2 kg. 11 kg We can also find the mass of Siti’s clothes (27 kg) if required.

57. Siti packs her clothes into a suitcase and it weighs 29 kg. Rahim packs his clothes into an identical suitcase and it weighs 11 kg. Siti’s clothes are three times as heavy as Rahim’s clothes. What is the mass of Rahim’s clothes? What is the mass of the suitcase? x + y = 11 x + 3y = 29 x y y y Siti 2y = 29 – 11 = 18 x y Rahim y = 18 ÷ 2 = 9

60. engaging pedagogies bar model method RajabhatMahasarakham University, Thailand

61. Start with any number of beans. Take turns to remove beans from the table. Either take one or two beans. The one who take the last one or two beans wins the game!

62. How many npn-congruent quadrilaterals of area 5 square units can be drawn on the geo-paper? The vertices must be on the dots. RajabhatMahasarakham University, Thailand

63. RajabhatMahasarakham University, Thailand

64. RajabhatMahasarakham University, Thailand

65. RajabhatMahasarakham University, Thailand

66. RajabhatMahasarakham University, Thailand

67. RajabhatMahasarakham University, Thailand

68. RajabhatMahasarakham University, Thailand

69. RajabhatMahasarakham University, Thailand

70. RajabhatMahasarakham University, Thailand

71. RajabhatMahasarakham University, Thailand

72. RajabhatMahasarakham University, Thailand

73. RajabhatMahasarakham University, Thailand

75. RajabhatMahasarakham University, Thailand