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ix | |
Acknowledgments |
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xi | |
About the Authors |
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xiii | |
Introduction |
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1 | (18) |
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3 | (5) |
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8 | (1) |
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The Path to Assessment-Capable Visible Learners in Mathematics |
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9 | (4) |
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13 | (6) |
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Chapter 1 Teaching With Clarity in Mathematics |
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19 | (28) |
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Components of Effective Mathematics Learning |
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24 | (1) |
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Surface, Deep, and Transfer Learning |
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25 | (5) |
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Moving Learners Through the Phases of Learning |
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30 | (7) |
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Surface Learning in the Intermediate Mathematics Classroom |
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31 | (3) |
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Deep Learning in the Intermediate Mathematics Classroom |
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34 | (1) |
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Transfer Learning in the Intermediate Mathematics Classroom |
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35 | (2) |
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Differentiating Tasks for Complexity and Difficulty |
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37 | (2) |
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Approaches to Mathematics Instruction |
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39 | (2) |
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41 | (1) |
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Profiles of Three Teachers |
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42 | (3) |
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42 | (1) |
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43 | (1) |
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44 | (1) |
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45 | (2) |
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Chapter 2 Teaching for the Application of Concepts and Thinking Skills |
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47 | (54) |
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Ms. Buchholz and the Relationship Between Multiplication and Division |
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48 | (17) |
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What Ms. Buchholz Wants Her Students to Learn |
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50 | (1) |
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Learning Intentions and Success Criteria |
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51 | (1) |
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Activating Prior Knowledge |
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52 | (4) |
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Scaffolding, Extending, and Assessing Student Thinking |
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56 | (1) |
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Teaching for Clarity at the Close |
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57 | (8) |
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Ms. Mills and Equivalent Fractions and Decimals |
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65 | (20) |
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What Ms. Mills Wants Her Students to Learn |
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67 | (1) |
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Learning Intentions and Success Criteria |
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67 | (2) |
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Activating Prior Knowledge |
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69 | (6) |
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Scaffolding, Extending, and Assessing Student Thinking |
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75 | (3) |
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Teaching for Clarity at the Close |
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78 | (7) |
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Ms. Campbell and the Packing Problem |
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85 | (13) |
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What Ms. Campbell Wants Her Students to Learn |
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87 | (1) |
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Learning Intentions and Success Criteria |
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87 | (1) |
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Activating Prior Knowledge |
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88 | (4) |
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Scaffolding, Extending, and Assessing Student Thinking |
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92 | (1) |
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Teaching for Clarity at the Close |
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93 | (5) |
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98 | (3) |
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Chapter 3 Teaching for Conceptual Understanding |
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101 | (54) |
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Ms. Buchholz and the Meaning of Multiplication |
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102 | (21) |
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What Ms. Buchholz Wants Her Students to Learn |
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104 | (1) |
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Learning Intentions and Success Criteria |
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105 | (1) |
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Activating Prior Knowledge |
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106 | (6) |
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Scaffolding, Extending, and Assessing Student Thinking |
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112 | (4) |
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Teaching for Clarity at the Close |
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116 | (7) |
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Ms. Mills and Representing Division as Fractions |
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123 | (15) |
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What Ms. Mills Wants Her Students to Learn |
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124 | (1) |
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Learning Intentions and Success Criteria |
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125 | (1) |
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Activating Prior Knowledge |
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126 | (5) |
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Scaffolding, Extending, and Assessing Student Thinking |
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131 | (1) |
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Teaching for Clarity at the Close |
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131 | (7) |
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Ms. Campbell and the Volume of a Rectangular Prism |
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138 | (15) |
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What Ms. Campbell Wants Her Students to Learn |
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139 | (1) |
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Learning Intentions and Success Criteria |
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140 | (1) |
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Activating Prior Knowledge |
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141 | (5) |
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Scaffolding, Extending, and Assessing Student Thinking |
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146 | (3) |
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Teaching for Clarity at the Close |
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149 | (4) |
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153 | (2) |
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Chapter 4 Teaching for Procedural Knowledge and Fluency |
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155 | (46) |
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Ms. Buchholz and Fluent Division Strategies |
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156 | (17) |
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What Ms. Buchholz Wants Her Students to Learn |
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158 | (1) |
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Learning Intentions and Success Criteria |
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159 | (1) |
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Activating Prior Knowledge |
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160 | (4) |
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Scaffolding, Extending, and Assessing Student Thinking |
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164 | (2) |
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Teaching for Clarity at the Close |
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166 | (7) |
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Ms. Mills and Comparing Fractions |
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173 | (15) |
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What Ms. Mills Wants Her Students to Learn |
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174 | (1) |
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Learning Intentions and Success Criteria |
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174 | (2) |
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Activating Prior Knowledge |
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176 | (4) |
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Scaffolding, Extending, and Assessing Student Thinking |
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180 | (1) |
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Teaching for Clarity at the Close |
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181 | (7) |
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Ms. Campbell and Computing Volume |
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188 | (12) |
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What Ms. Campbell Wants Her Students to Learn |
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188 | (1) |
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Learning Intentions and Success Criteria |
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189 | (1) |
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Activating Prior Knowledge |
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190 | (2) |
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Scaffolding, Extending, and Assessing Student Thinking |
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192 | (3) |
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Teaching for Clarity at the Close |
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195 | (5) |
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200 | (1) |
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Chapter 5 Knowing Your Impact: Evaluating for Mastery |
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201 | (32) |
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What Is Mastery Learning? |
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202 | (15) |
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Using Learning Intentions to Define Mastery Learning |
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203 | (4) |
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Establishing the Expected Level of Mastery |
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207 | (3) |
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Collecting Evidence of Progress Toward Mastery |
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210 | (7) |
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Ensuring Tasks Evaluate Mastery |
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217 | (1) |
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Ensuring Tests Evaluate Mastery |
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218 | (4) |
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222 | (6) |
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222 | (1) |
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223 | (2) |
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225 | (3) |
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228 | (3) |
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231 | (2) |
Appendices |
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233 | (14) |
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233 | (5) |
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B Planning for Clarity Guide |
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238 | (5) |
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C Learning Intentions and Success Criteria Template |
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243 | (1) |
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D A Selection of International Mathematical Practice or Process Standards |
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244 | (3) |
References |
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247 | (4) |
Index |
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251 | |