Preface to the Australian Edition |
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xi | |
Acknowledgments |
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xvi | |
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Chapter 1 Teaching and learning primary mathematics |
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1 | (14) |
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1 | (1) |
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2 | (1) |
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Why is mathematical subject knowledge important? |
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3 | (1) |
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What is good mathematical subject knowledge? |
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4 | (2) |
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What makes a good teacher of mathematics? |
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6 | (1) |
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How will this book develop my subject knowledge? |
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7 | (1) |
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A framework for teaching mathematics |
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8 | (1) |
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Foundations for learning mathematics |
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9 | (1) |
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10 | (2) |
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12 | (1) |
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12 | (1) |
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12 | (3) |
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Chapter 2 What should I know? What do I know? |
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15 | (13) |
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15 | (1) |
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16 | (1) |
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Auditing your current knowledge |
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16 | (10) |
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26 | (1) |
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27 | (1) |
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Chapter 3 Problem solving using mathematics |
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28 | (33) |
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28 | (5) |
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Progression in problem solving using mathematics |
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33 | (1) |
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34 | (2) |
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Enquiry and problem solving |
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36 | (3) |
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39 | (1) |
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Reasoning and communication |
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39 | (1) |
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40 | (10) |
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50 | (2) |
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52 | (1) |
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Assessing problem solving using mathematics |
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53 | (1) |
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Cross-curricular teaching of problem solving |
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54 | (1) |
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55 | (1) |
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Reflections on this chapter |
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55 | (1) |
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56 | (5) |
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Chapter 4 Number: Counting; place value; fractions, decimals and percentages |
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61 | (43) |
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61 | (1) |
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62 | (2) |
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Progression in counting; place value; fractions, decimals, percentages and proportionality |
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64 | (2) |
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66 | (10) |
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76 | (21) |
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Assessing counting and understanding number |
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97 | (1) |
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Cross-curricular teaching of counting and understanding number |
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97 | (1) |
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98 | (1) |
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Reflections on this chapter |
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99 | (1) |
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99 | (2) |
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101 | (3) |
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Chapter 5 Number: Knowing and using number facts |
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104 | (27) |
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104 | (1) |
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105 | (2) |
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Progression in knowing and using number facts |
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107 | (2) |
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109 | (6) |
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115 | (10) |
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125 | (1) |
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Assessing knowing and using number facts |
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126 | (1) |
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Cross-curricular teaching of knowing and using number facts |
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126 | (1) |
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127 | (1) |
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Reflections on this chapter |
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128 | (1) |
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129 | (2) |
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Chapter 6 Number: Calculation (addition, subtraction, multiplication and division) |
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131 | (41) |
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131 | (1) |
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132 | (3) |
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Progression in calculation |
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135 | (2) |
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137 | (22) |
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159 | (8) |
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167 | (1) |
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Cross-curricular teaching of calculation |
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168 | (1) |
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168 | (1) |
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Reflections on this chapter |
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169 | (1) |
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169 | (2) |
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171 | (1) |
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Chapter 7 Patterns and algebra |
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172 | (22) |
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172 | (1) |
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173 | (2) |
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Progression in patterns and algebra |
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175 | (2) |
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177 | (5) |
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182 | (5) |
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187 | (2) |
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189 | (1) |
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Cross-curricular teaching of algebra |
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190 | (1) |
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190 | (1) |
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Reflections on this chapter |
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191 | (1) |
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191 | (1) |
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192 | (2) |
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Chapter 8 Geometry: Properties of shapes; position and direction |
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194 | (29) |
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194 | (1) |
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194 | (5) |
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199 | (2) |
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201 | (6) |
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207 | (11) |
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218 | (1) |
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218 | (1) |
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Cross-curricular teaching of geometry |
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219 | (1) |
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220 | (1) |
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Reflections on this chapter |
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220 | (1) |
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221 | (1) |
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222 | (1) |
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223 | (22) |
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223 | (1) |
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224 | (1) |
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225 | (3) |
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228 | (2) |
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230 | (11) |
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Assessing understanding of measurement |
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241 | (1) |
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Cross-curricular teaching of measurement |
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241 | (1) |
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242 | (1) |
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Reflections on this chapter |
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242 | (1) |
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243 | (1) |
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244 | (1) |
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Chapter 10 Statistics and probability |
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245 | (22) |
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245 | (1) |
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246 | (1) |
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Progression in statistics and probability |
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247 | (2) |
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249 | (7) |
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256 | (6) |
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Assessing knowledge of statistics and probability |
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262 | (1) |
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Cross-curricular teaching of statistics and probability |
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263 | (1) |
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263 | (1) |
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Reflections on this chapter |
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264 | (1) |
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265 | (1) |
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266 | (1) |
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Chapter 11 Teaching and learning mathematics in the Early Years |
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267 | (30) |
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267 | (6) |
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273 | (2) |
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Problem solving, reasoning and numeracy |
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275 | (9) |
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Young children learning geometry |
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284 | (3) |
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Young children learning algebra |
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287 | (4) |
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Assessment in the Early Years |
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291 | (3) |
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294 | (1) |
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Reflections on this chapter |
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294 | (1) |
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295 | (2) |
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Chapter 12 Issues of inclusion |
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297 | (21) |
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297 | (1) |
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Starting point: further reading |
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298 | (4) |
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Children with special educational needs |
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302 | (1) |
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303 | (3) |
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Children learning English as an additional language (EAL) |
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306 | (2) |
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Children with social, emotional and mental health needs |
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308 | (1) |
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308 | (2) |
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Children with Developmental Coordination Disorder (DCD or dyspraxia) |
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310 | (1) |
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Children with dyslexia and dyscalculia |
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311 | (2) |
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Multicultural and anti-racist approaches |
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313 | (2) |
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315 | (1) |
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Reflections on this chapter |
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316 | (1) |
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317 | (1) |
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Chapter 13 ICT and the use of calculators in teaching and learning mathematics |
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318 | (15) |
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318 | (1) |
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319 | (1) |
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The appropriate use of personal computers and other devices |
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320 | (9) |
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Using ICT during lockdown. What did we learn? |
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329 | (1) |
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330 | (1) |
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Reflections on this chapter |
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331 | (1) |
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331 | (2) |
Index |
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333 | |