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x | |
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xii | |
Notes on contributors |
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xv | |
Foreword |
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xviii | |
Series Editors' Preface |
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xx | |
Preface to the fourth edition |
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xxi | |
Introduction |
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xxiv | |
Acknowledgements |
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xxviii | |
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1 Why do we teach mathematics? |
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1 | (12) |
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Key purposes of mathematics education |
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Policy, practice and agencies for change |
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2 Mathematics in the National Curriculum |
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13 | (19) |
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The presentation of the National Curriculum |
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Performance standards and assessment within the curriculum |
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International comparisons and interpretations of the National Curriculum |
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Secondary mathematics programmes of study |
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3 Learning mathematics: a cognitive focus |
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32 | (20) |
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What do we mean by learning? |
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4 Learning mathematics: an affective focus |
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52 | (18) |
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Affective issues in mathematics teaching and learning |
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Taking account of affect in teaching: mathematical resilience |
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5 Planning for mathematics learning |
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70 | (22) |
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Teachers planning lessons |
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Planning sequences of lessons |
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Planning for inclusion and equity |
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Planning for out-of-school learning |
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Developing expertise for creative teaching |
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6 Teaching for mathematics learning |
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92 | (29) |
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Teaching as listening, as asking and as telling |
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Fluency and on Understanding |
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Forms of classroom organisation |
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Resources and ideas for enhancing your teaching |
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7 Assessing mathematics learning |
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121 | (27) |
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8 Communicating mathematically |
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148 | (16) |
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The nature of mathematical language |
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Communication as the key to assessment |
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9 Learning mathematics through digital technology |
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164 | (28) |
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Dynamic geometry packages |
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Coding and programming languages - Logo |
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Apps, applets and other small teaching programs |
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The internet, video and CD-ROMS |
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10 Perspectives and practices in the mathematics classroom |
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192 | (16) |
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Focus on technique: mathematical thinking |
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Focus on application: mathematics in context |
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Focus on understanding: mastery teaching |
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11 Working mathematically with students with special educational needs |
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208 | (20) |
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Public aspect: policies and professionalism |
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Personal aspect: orienting to special educational needs |
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Practical aspect: inclusion of students with SEND in the mathematics classroom |
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12 Teaching mathematics post-16 |
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228 | (27) |
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Qualifications: types and levels |
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Mathematics and qualifications post-16 |
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Institutions catering for post-16 students |
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The nature of students post-16 |
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Preparing to teach a topic |
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The use of technology in post-16 mathematics |
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Reflecting on the past: looking to the future? |
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13 Getting the whole picture |
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255 | (18) |
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14 Professional development |
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273 | (16) |
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The first year of teaching |
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Developing as a mathematician |
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Developing as a mathematics teacher |
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Appendix 1 Glossary of terms |
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289 | (3) |
Appendix 2 Sources and resources |
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292 | (4) |
Appendix 3 Making closed tasks open |
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296 | (1) |
Appendix 4 Practical task - rolling balls |
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297 | (4) |
Appendix 5 Group task |
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301 | (1) |
References |
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302 | (12) |
Name and Author Index |
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314 | (1) |
Subject Index |
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315 | |