Foreword |
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xi | |
1 Dyscalculia, Dyslexia and Mathematics |
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1 | (22) |
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1 | (2) |
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3 | (2) |
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The Evolution of Definitions of (Developmental) Dyscalculia |
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5 | (14) |
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The Nature of Mathematics and the Ways it is Taught |
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19 | (4) |
2 Factors that may Contribute to Learning Difficulties in Mathematics |
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23 | (25) |
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Potential Areas of Difficulty in Learning Mathematics |
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24 | (20) |
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General Principles of Intervention |
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44 | (2) |
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46 | (2) |
3 Cognitive (Thinking) Style in Mathematics |
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48 | (14) |
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48 | (1) |
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Qualitative and Quantitative Style |
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49 | (2) |
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Cognitive (Thinking) Style in the Classroom |
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51 | (3) |
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54 | (7) |
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61 | (1) |
4 Testing and Diagnosis |
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62 | (14) |
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A Diagnostic Test Protocol |
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64 | (1) |
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Structure of the Diagnostic Protocol |
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65 | (8) |
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73 | (1) |
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Thinking Style or Cognitive Style |
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74 | (1) |
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74 | (1) |
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Summary of the Test Protocol |
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74 | (2) |
5 Concept of Number |
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76 | (20) |
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76 | (2) |
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Early Recognition of Numbers and Their Values |
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78 | (1) |
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The Language of Mathematics (see also Chapter 2) |
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79 | (1) |
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79 | (3) |
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82 | (1) |
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Visual Clues to Number Concept |
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83 | (1) |
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Number Bonds/Combinations |
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84 | (2) |
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86 | (7) |
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Number Bonds/Combinations for Ten |
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93 | (1) |
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Numbers Near Ten, Hundred or Thousand |
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94 | (1) |
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95 | (1) |
6 Addition and Subtraction: Basic Facts/Number Combinations |
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96 | (14) |
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96 | (3) |
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Strategies for Learning/Remembering the Addition and Subtraction Facts |
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99 | (8) |
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107 | (1) |
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108 | (1) |
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109 | (1) |
7 The Times Tables Facts/Number Combinations |
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110 | (26) |
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110 | (1) |
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110 | (3) |
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Learning by Understanding |
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113 | (2) |
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115 | (2) |
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Learning the Table Square |
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117 | (18) |
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135 | (1) |
8 Computational Procedures for Addition and Subtraction |
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136 | (16) |
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138 | (1) |
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138 | (9) |
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Teaching Subtraction as a Separate Exercise |
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147 | (5) |
9 Multiplication |
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152 | (13) |
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152 | (1) |
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Multiplying by Ten and Powers of Ten |
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153 | (4) |
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157 | (6) |
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163 | (1) |
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163 | (2) |
10 Division: Whole Numbers |
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165 | (10) |
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165 | (1) |
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166 | (6) |
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172 | (1) |
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Division by Powers of Ten |
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173 | (1) |
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Division by Multiples of Powers of Ten |
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174 | (1) |
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174 | (1) |
11 Fractions, Decimals and Percentages: An Introduction |
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175 | (29) |
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175 | (1) |
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176 | (11) |
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187 | (8) |
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195 | (8) |
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203 | (1) |
12 Operating with Fractions |
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204 | (28) |
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204 | (1) |
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Making Segment Sizes the Same |
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205 | (2) |
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207 | (3) |
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210 | (2) |
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212 | (4) |
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216 | (3) |
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Combined Additions and Subtractions |
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219 | (2) |
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221 | (3) |
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Multiplying Mixed Fractions |
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224 | (3) |
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227 | (5) |
13 Decimals |
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232 | (18) |
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232 | (1) |
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232 | (3) |
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Multiplication and Division by Powers of Ten |
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235 | (7) |
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242 | (7) |
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249 | (1) |
14 Percentages |
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250 | (7) |
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250 | (1) |
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250 | (6) |
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256 | (1) |
15 Time |
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257 | (12) |
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What are the Potential Problems with Time? |
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258 | (2) |
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260 | (4) |
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264 | (4) |
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268 | (1) |
16 Teaching the Full Curriculum |
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269 | (18) |
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269 | (1) |
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270 | (7) |
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Teaching the Other Parts of the Curriculum |
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277 | (5) |
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Combining the Parts of the Curriculum |
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282 | (4) |
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286 | (1) |
17 Attacking and Checking Questions |
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287 | (16) |
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287 | (1) |
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288 | (2) |
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290 | (1) |
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Methods of Attacking Questions |
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291 | (7) |
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298 | (5) |
18 Important Elements of a Teaching Programme |
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303 | (13) |
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303 | (1) |
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Consider the Pupils' Needs |
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303 | (1) |
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The Structure of the Course |
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304 | (4) |
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Classroom Management: Making the Lessons Suit the Pupils |
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308 | (1) |
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Evolving Expectations and Emphases |
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309 | (4) |
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313 | (2) |
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315 | (1) |
Appendices |
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Appendix 1: Books, Journals, Tests and Games |
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316 | (5) |
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Appendix 2: Teaching Materials |
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321 | (3) |
References |
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324 | (13) |
Index |
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337 | |