ชุดที่4 เล่ม3 เทคนิค วิธีการและสื่อ สำหรับนักเรียนที่มีความบกพร่องทางการเรียนรู้ด้านคณิตศ

1. 4 3

2. 4 3

3. 3 2,500 2554ISBN 978-616-202-382-8

4. .. 2551 5 1 2 3 4 5 1 4 12 26 33 45 3 4

6. .............. 1................... 2 ....................................................................................................... 3 ....................................................................................................... 4 ....................................................................................................... 9 .................................................................................. 9.............................................................................................................. 11 ................................................................................. 11 ....................................................................................................... 12 11............................................................................................................. 14 1........................................................................................ 15 2........................................................................ 20 3............................................................................. 24 4............................................................................. 29 5.............................................................................. 33 6Touchmath.................................................................. 43 7................................................................................ 49

7. 12............................................................................................................... 54 1.................................................................. 55 2..................................................... 61 3........................................................................ 66 4............................................................ 72 5............................................................ 7713. ........................................................................................... 84 1.................................................................. 85 2.................................................................. 90 3........................................................................... 93 4........................................................................ 98 5............................................................................. 100......................................................................................................................... 103............................................................................................................................. 105 TouchMath.............................................................................. 106 .............. 118............................................................................................................................ 129

8. (Learning Disability : LD) 5 50 1

9. 1. 2. 3. 4. 5. 6. 7.715 8. 9. 10.6-9,3-8,1-7,12-21 11. 12. 13. 14.11 15. 2

10. 16. 17. 18. 19. 20. 1. 2. 3. 3

11. 1. 1. 1 21,2,3 3 4 2. 3. 4. 1 2 3 5. 1 2 6. 1 2 7. 1 2 3 410 520 6 7 8 4

12. 8. 1 2 9. 1 2 10. 1 2 11. 1 2 3 4 5 6TouchMath 7 12. 1 2 3 4 5 13. 1 2 3 4 5 5

13. 2. 14. 1 2 3 4 5 15. 1 2 3 4 5 6 16. 1 2 3 4 17. 1 2 18. 1 2 19. 20. 6

14. 3. 21. 1 2 3 22. 1 2 3 23. 1 2 3 4 4. 24. 25. 26. 27. 28. 5. 29. 7

15. 30. 1 2 3 4 31. 1 2 32. 1 2 8

16. 1. 2. 3. (+,-,x,) 4. 5. (calculator) 1. 2. 3.() 4. 5. 6. (TaskAnalysis) 7. 8. 9

17. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 10

18. 1. 2. - - - - - - 1. 2. 3. 4. 5. 6. 7. 8. 11

19. 9. 10. 11.(Buddy) 1. 2. 3. (TaskAnalysis) 4. 5. 6. 7. 8. 12

20. 3 4 11. 12. 13. 13

21. 11. 1 2 3 4 5 6 Touch Math 7 14

22. 1-3 1 1.10 2.5 3.2 4./ 1.10,5,2 2. 3. 1.(10)10100 2.105 3.1052 4. 1. -10,5,2 - - 2. - - 3. - 10, 5, 2 1 60 15

23. ... ... ... - 16

24. 1..................................................................................................................... 2 17

25. 2..................................................................................................................... 5 18

26. 3..................................................................................................................... 2 =2+2 =2 + 2 +2 =2 + 2 +2 + 2 =2 + 2 +2 + 2 + 2 =2 + 2 +2 + 2 + 2 + 2 =2 + 2 +2 + 2 + 2 + 2 + 2 =2 + 2 +2 + 2 + 2 + 2 + 2 + 2 =2 + 2 +2 + 2 + 2 + 2 + 2 + 2 + 2 =2 + 2 +2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 19

27. 1-3 2 1. 2. 3./ 1. 2. 3.(+,x) 1. 2. 3x2=632 3. 4. 20

28. - - - - -1 60 ... ... ... - 21

29. ..................................................................................................................... 3 + 3 _ 3 = 9 22

30. 23

31. 1-3 3 1. 2./ 1. 2. 3.// 4.+,x 5. 6. 7. 1. 35 3x5= 24

32. 2. 1 3. - - - - - 260 1. 2. 3. () . 25

33. ... ... ... - 26

34. ..................................................................................................................... 45 5+5+5+5= 4x5= 1.38 8+8+8= ...................................................................2.47 7+7+7+7= ................................................................... 27

35. 3.95 ................................................................... ...................................................................4..284 ................................................................... ................................................................... 28

36. 1-3 4 1. 2. 3. 4./ 1./ 2. 3. 4. 5. 1.2 3 5 2. 5 4 29

37. ............................................................. .................................................. X = ............................. 3. 1 - - - 30

38. - - - - 2 - 5 - 5 360 1. 2. 3. 4. ... ... ... - 31

39. ..................................................................................................................... 1.45 5 10 15 202.55 5 10 15 20 253.59 9 18 27 36 45 32

40. 1-3 5 1. 2. 3./ 1.() 2. 1.23 2. () .... 5 .......5 0 5 .......1x5=5 1 0 ..........2x5=5 1 5 .............3x5=5 2 0 ................4x5=5 2 5 ..................5x5=5 3 0 ....................6x5=5 3 5 ......................7x5=5 4 0 ........................8x5=5 4 5 ..........................9x5=5 33

41. 3.2-9 4.1 5. 52 x 3 = 5 2 52 0 0 5 2 5 2 x 1 0 0 4 3x2 1 0 1 0 3 x 50 5 6 3 ...1..... 3 5 6 2 1 0 0 1 ...5..... ...6..... 2 1 5 2 5 6 3 1 0 4 3 1 5 6 4 1 0 8 4 2 5 0 6. 5 7. - - - - - - 34

42. - 10 - 1 260 ... ... ... - 35

43. () 2 ......... 1 3 4 50 0 0 0 0 2 1 3 4 50 0 0 0 1 4 2 6 8 00 0 0 1 1 6 3 9 2 50 0 1 1 2 8 4 2 6 01 0 1 2 2 0 5 5 0 51 0 1 2 3 2 6 8 4 01 0 2 2 3 4 7 1 8 51 0 2 3 4 6 8 4 2 01 0 2 3 4 8 9 7 6 5 36

44. 6 7 8 9 00 0 0 0 0 6 7 8 9 01 1 1 1 0 2 4 6 8 01 2 2 2 0 8 1 4 7 02 2 3 3 0 4 8 2 6 03 3 4 4 0 0 5 0 5 03 4 4 5 0 6 2 8 4 04 4 5 6 0 2 9 6 3 04 5 6 7 0 8 6 4 2 05 6 7 8 0 4 3 2 1 0 37

45. ..................................................................................................................... 22X7= x 7 = 7 0 7 7 1 1 2 x 7 = 14 4 4 2 2 1 2 8 3 5 4 2 4 9 5 6 6 3 38

46. 1.)3X5= 5 0 5 1 0 5 3 x 5 = .............. 1 3 ...................... 5 2 0 2 5 3 0 3 5 4 0 4 5 39

47. 2.)5X4= 4 0 4 0 8 4 5 x 4 = .............. 1 5 ...................... 2 1 6 2 0 2 4 2 8 3 2 3 6 40

48. ..................................................................................................................... 3X21= 2 1 0 0 2 1 2 1 x 0 0 4 2 ...0.... 0 0 3 6 3 0 0 6 3 ...6.... ...3.... 0 0 8 4 3 x 21 = 63 1 0 0 5 1 0 2 6 1 0 4 7 1 0 6 8 1 0 8 9 41

49. 1.)5X40= 4 0 0 0 4 0 4 0 0 0 8 0 ........ 5 1 0 2 0 ......... ......... 1 0 6 0 5 x 40 = ............... 2 0 ........................ 0 0 2 0 4 0 2 0 8 0 3 0 2 0 3 0 6 0 42

50. 1-3 6 TouchMath 1. 2./ 1.TouchMath 2. 1.TouchMath 2. 7 x 2 = 3. - - - - 160 43

51. ... ... ... - 44

52. ..................................................................................................................... 7X 5 45

53. ..................................................................................................................... 4X 2 46

54. ..................................................................................................................... 3 6 9 12 15 18 21 24 27 0 3x5= 3x8= 3x0= 3x6= 47

55. ..................................................................................................................... 67X 25X 2 3 48

56. 1-3 7 1. 2. 3. 4./ 1./ 2. 3. 4. 5. 1. 2. 4 5 49

57. 3. () 20 4.2 20 5. 4 3 3 1 1 1 6. 20 20 20 = 20 50

58. 7. 20 3 203 8. 20 + 20 + 20 = 60 3 20 60 3 x 20 = 60 9. 2 3 X = 51

59. - - - - - - - 5 -1 - 1 360 ... ... ... - 52

60. ..................................................................................................................... ................................................................................................................. .......................................................................................................................... .......................................................................................................................... .......................................................................................................................... .......................................................................................................................... .......................................................................................................................... .......................................................................................................................... X= ................................................ 53

61. 12. 1 2 () 3 4 5 54

62. 1-31 1. 2./ 1. 2.2 3. 1.2 2. 15 1 3. 3 1 15-3 55

63. 2 15-3-3 3 15333 4 15333-3 5 153333-3 56

64. 4. 1533333 =0 153=5 5. 6. - - - - - 2 - 1 260 57

65. ..................................................................................................................... (5) 62 3 6 2 = 3 1205 = 58

66. 2 408 =3 246 = 15 ............... 59

67. 205 205555=0 205=4 1. 243 ............................................. ............................................. 2.326 .............................................. .............................................. 3. 357 ............................................. ............................................. 60

68. 1-3 2 1. 2./ 1. 2. 1. 2 1 2. 23 3.2 6 2=3 3X2=6 4. 61

69. - - - - - - 160 ..................................................................................................................... 10 0 1 1. 2. 3. 4. 5. 6. 62

70. () ..................................................................................................................... 102= 2 2X1= 2 10 2 = ? 2X2= 4 2X3= 6 2 X ? = 10 2X4= 8 2X5= 10 2X6= 12 2 X 5 = 10 2X7= 14 2X8= 16 2X9= 18 ? = 5 102=5 63

71. (1)12X3= 2 12 3 = ? 3X1= 3 3X2= 6 3X3= 9 3 X ? = 12 3X4= 12 3X5= 15 3 X 5 = 1 3X6= 18 3X7= 21 3X8= 24 3X9= 27 12X3= ................(2)355= 5 5X1= 5 5X2= 10 35 5 = ? 5X3= 15 5X4= 20 5 X ? = 35 5X5= 25 5X6= 30 5X7= 35 5 X = 35 5X8= 40 5X9= 45 355= ................ 64

72. (3)426= 6 6X1= 6 42 6 = ? 6X2= 15 6X3= 18 6X4= 24 6 X = 42 6X5= 30 6X6= 36 X = 42 6X7= 42 6X8= 48 426= 6X9= 54 ...............(4)728= 8 8X1= 8 8X2= 16 72 8 = ? 8X3= 24 8X4= 32 8 X ? = 72 8X5= 40 8X6= 48 8X7= 56 8 X = 72 8X8= 64 8X9= 72 728= ................ 65

73. 1-3 3 1. 2. 3./ 1. 2. 3. 4. 1. 2. 2.1 153 - - - 15 3 - 10 - - 66

74. 2.3 2.42.12.212 3. 4.3 10 2 20 5 100 25 5. 67

75. - - - - - - - 1 - 1 260 1. 2. 3. 2 4. 68

76. 1 12 4 1................................................... 2................................................................. 3........................................................... 4................................................ 5.......................................... 1 - .... .... 1 2 3 4 5 70 69

77. ..................................................................................................................... 20 5 205 5 205= 20 5 205=4 70

78. 1648 ............................................................................................ ............................................................................................ ............................................................................................ ............................................................................................ .. .. .......= .... ... 12 ............... J L 71

79. 1-3 4 1. 2. 3. 4./ 1. 2. 3. 1. ( ) 2. 2.1 10 2.2 5 2.3 () 2.4 72

80. 3. 4. 5. 6. - - - - - - 1 - 3 2 260 1. 2. 3. 73

81. ..................................................................................................................... 1. 2. 3. 4. 74

82. ..................................................................................................................... 1. 10 2. 3. 5 4. 5. 6. ................... ................... ................... ................... ................... 75

83. ................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................ 76

84. 4-6 5 1. 2. 3./ 1. 2. 3. 4. 1.2 2. 102= ? 2x =10 2x 5 =10 =5 102=5 77

85. 3.2 102 = 5 5 x2 = 10 4. 4.1 4.2 5234= 1 X...........................................................................4 4 5 2 3 2 4 5 (4X1=4) 4 511 12 X..........1............................................................ 4 5 1 2 3 4 1 78

86. 3 4 12 (4X3=12) 12 120 X..........1....................3..................................... 4 5 1 2 3 4 12 1 0 4 4 3 (4X0=0) 0 33 X..........1....................3....................0.......... 4 5 1 2 3 4 12 0 1 0 3 5234=1303 5. - - - - 79

87. - 10 - 1 260 ..................................................................................................................... 1. 2. 3. 80

88. ..................................................................................................................... 2,4158= X ..........0....................3....................0.......... ..........1.......... ........... 8 2 24 1 1 5 0 24 0 8 2 0 1 7 2,4158=3017 1.)4853= X .................................................................... 3 4 8 5 4853=. 81

89. 2.)6274= X ..................................................................... 4 6 2 7 6274 =.3.)5,2815= X ........................................................................ 5 5,2815 =. 82

90. 4.)2,9057= X ........................................................................ 7 2,9057 =.................................. 83

91. 13. 1 2 3 4 5 84

92. 1-3 1 1. 2./ A444 1.A41 2.44 3. A4 3 (3) 85

93. 3 3 4 343 3 4 4 3 4 4. 3(34) 4 5. A4 2 (2) 2 24 2 224 4 4 6. 2(24) 4 7.A41 2 1 4 1 1 4 4 86

94. 8. 1(14) 4 9. - - - - - - - 1 - 2 - 1 260 1. 2. 1 1 2,, 2 3 3 87

95. ..................................................................................................................... 1. 2. 3. 88

96. ..................................................................................................................... 1.2.3.4. 89

97. 46 2 / 1.A4 2.2 1. 4 22 4 2.1 1 4 3.3 2 1 3() 4 4 4 4. 5. 90

98. - - - - - - -60 ..................................................................................................................... 1. 2. 3. 91

99. ..................................................................................................................... 1. 2. 3. 4. 5. 92

100. 4-6 3 1. 2./ 1.A4 2.22 1 1 1.+ 2 3211 2 2. 3 1 1 3 93

101. 3. 6 3626 ( ) 1 ( 2 ) 1 2 3 6 3 6 65 1 += 5 1 2 3 6 4. 2 +,+,+1 1 3 1 2 3 4 5 3 5 2 5. - - - - - 94

102. - ..................................................................................................................... 1. 2. 3. 95

103. ..................................................................................................................... 1. ................... ................... ........................... ................... + ................... = ........................... 2. ................... ................... ........................... ................... + ................... = ........................... 96

104. 3. ................... ................... ........................... ................... + ................... = ........................... 4. ................... ................... ........................... ................... + ................... = ........................... 5. ................... ................... ........................... ................... + ................... = ........................... 97

105. 4-6 4 / 1.A41 2.1 3. 1.A4()4 2.41 33A4() 4 3. 2 1 1 4 98

106. 4. 5. 1. 2. ..................................................................................................................... 1. 2. 99

107. 4-6 5 / 1.A41 2.() 3. 4. 5 2 1.= 8 8 2.4 3 8 16 3.8 4. 3 3 8 5. 4 16 100

108. 3 4 6. 16 8 3 8 6 6 4=16 16 16 7.4 6 4 2 (2)=16 16 16 8.47 4 1 9.= 6 2 1. 2. 3. 10. - - - - 101

109. - - 50 1. 2./ ..................................................................................................................... 1. 2. 102

110. . (2546). .:. . (2552). 5 1 . :. . (2552). 1 2 . : . . (2552). 1 1 1 10 0.: ..(2544)..:..(2546)..:. .(2537).. : . .(2546).. : .. .ISBN.97480051-3.Bakken, J.P. Strategy Instruction Ideas for Students with Learning Disabilities. IllinoisStateUniversity.Lerner,J.(2006).Learning Disabilities: Theories,Diagnosis,and Teaching Strategies. Boston:HoughtonMifflinCompany. 103

111. 105

112. Touch Math TouchMath / Touch Math Touch Math 6 Touch Math / 106

113. (Touch Math)1. (color code) ........................................................................ 107

114. 2. (Touchpoint Object) (TouchPoint) 108

115. 3. (Touch Math) 6 9 4. Touch Math 2 3 2 3 2 ,2 3 3, 2 5 5, 6 ,2 7 ,2 9 3, ,2 3, 5, 6 3, 5, 6 7, 8 7, 8 5, 6 109

116. 5. 110

117. 111

118. 6. 112

119. 7. Touch Math Object ................................................................................................................... 113

120. ................................................................................................................... 114

121. 8. 575 5712 2 1 3 4 5 6 7 12 8 9 10 11 115

122. 9. 9-79 72 1 2 9 3 4 5 6 7 8 10. 7x272214 14 7 12 89 34 10 11 12 13 56 (TouchMath.com) 116

123. Carry and Borrow Line MeasureLine 12 117

124. FractionLine

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