Foreword to Second Edition |
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xiii | |
Chapter 1 Dyscalculia, Dyslexia and Mathematics |
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1 | (16) |
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1 | (1) |
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2 | (3) |
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5 | (8) |
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The Nature of Mathematics |
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13 | (4) |
Chapter 2 Factors that may Contribute to Learning Difficulties in Mathematics |
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17 | (20) |
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Potential Areas of Difficulty in Learning Mathematics |
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17 | (16) |
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General Principles of Intervention |
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33 | (2) |
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35 | (2) |
Chapter 3 Cognitive (Thinking) Style in Mathematics |
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37 | (12) |
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37 | (1) |
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Qualitative and Quantitative Style |
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38 | (2) |
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Cognitive (Thinking) Style in the Classroom Grasshoppers (Intuitive/Answer Oriented) and Inchworms (Step by Step/Formula Oriented) |
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40 | (2) |
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42 | (6) |
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48 | (1) |
Chapter 4 Testing and Diagnosis |
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49 | (12) |
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A Diagnostic Test Protocol |
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51 | (1) |
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Structure of the Diagnostic Protocol |
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52 | (7) |
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59 | (1) |
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Thinking Style or Cognitive Style |
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60 | (1) |
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Summary of the Test Protocol |
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60 | (1) |
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60 | (1) |
Chapter 5 Concept of Number |
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61 | (20) |
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61 | (1) |
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Early Recognition of Numbers and Their Values |
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62 | (1) |
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The Language of Mathematics |
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63 | (1) |
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63 | (3) |
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66 | (1) |
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Visual Clues to the Number Concept |
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67 | (1) |
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68 | (1) |
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69 | (7) |
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76 | (1) |
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Numbers near 10, 100 or 1000 |
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77 | (3) |
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80 | (1) |
Chapter 6 Addition and Subtraction: Basic Facts |
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81 | (10) |
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81 | (2) |
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Strategies for Learning/Remembering the Addition and Subtraction Facts |
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83 | (6) |
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89 | (1) |
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89 | (1) |
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90 | (1) |
Chapter 7 Times Tables |
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91 | (26) |
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91 | (1) |
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Rote Learning with Audio Recorders and Computers |
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92 | (1) |
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Learning by Understanding |
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93 | (3) |
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96 | (2) |
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Learning the Table Square |
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98 | (17) |
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115 | (2) |
Chapter 8 Computational Procedures for Addition and Subtraction |
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117 | (16) |
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118 | (1) |
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118 | (9) |
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Teaching Subtraction as a Separate Exercise |
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127 | (6) |
Chapter 9 Multiplication |
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133 | (12) |
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133 | (1) |
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The Special Case of Multiplying by 10 and Powers of 10 |
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133 | (3) |
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136 | (6) |
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142 | (1) |
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143 | (2) |
Chapter 10 Division |
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145 | (12) |
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145 | (1) |
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146 | (6) |
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152 | (2) |
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154 | (1) |
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Division by Multiples of Powers of ten |
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154 | (1) |
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155 | (2) |
Chapter 11 Fractions, Decimals and Percentages: An Introduction |
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157 | (28) |
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157 | (1) |
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157 | (10) |
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167 | (9) |
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176 | (1) |
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A Global Model for Percentages, Fractions and Decimals |
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176 | (8) |
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A Global Exercise with Fractions, Percentages and Decimals |
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184 | (1) |
Chapter 12 Operating with Fractions |
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185 | (28) |
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185 | (1) |
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Making Segment Sizes the Same |
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185 | (3) |
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188 | (3) |
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191 | (1) |
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192 | (5) |
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197 | (4) |
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Combined Additions and Subtractions |
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201 | (1) |
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202 | (3) |
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Multiplying Mixed Fractions |
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205 | (2) |
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207 | (6) |
Chapter 13 Decimals |
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213 | (18) |
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213 | (1) |
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213 | (3) |
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Multiplication and Division by Powers of 10 |
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216 | (7) |
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223 | (6) |
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229 | (2) |
Chapter 14 Percentages |
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231 | (6) |
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231 | (1) |
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231 | (5) |
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236 | (1) |
Chapter 15 Time |
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237 | (12) |
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What are the Potential Problems with Time? |
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237 | (2) |
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239 | (4) |
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243 | (4) |
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247 | (2) |
Chapter 16 Teaching the Full Curriculum |
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249 | (16) |
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249 | (1) |
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250 | (6) |
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Teaching the Other Parts of the Curriculum |
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256 | (5) |
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Combining the Parts of the Curriculum |
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261 | (3) |
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264 | (1) |
Chapter 17 Attacking and Checking Questions |
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265 | (16) |
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265 | (1) |
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266 | (2) |
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268 | (1) |
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Methods of attacking questions |
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268 | (8) |
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276 | (5) |
Chapter 18 Important Elements of a Teaching Programme |
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281 | (14) |
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281 | (1) |
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Consider the Pupils' Needs |
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281 | (1) |
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The Structure of the Course |
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282 | (4) |
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Classroom Management: Making the Lessons Suit the Pupils |
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286 | (1) |
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Evolving Expectations and Emphases |
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287 | (4) |
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291 | (2) |
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293 | (1) |
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294 | (1) |
Appendices |
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295 | (8) |
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Appendix 1: Books, Journals, Tests and Games |
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296 | (5) |
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Appendix 2: Teaching Materials |
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301 | (2) |
References |
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303 | (8) |
Index |
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311 | |