Learning to Teach Mathematics in the Secondary School: A Companion to School Experience (Learning to Teach Subjects in the Secondary School Series)

CONTENTS......Page 8
INTRODUCTION TO THE SERIES......Page 11
FIGURES......Page 13
TABLES......Page 14
TASKS......Page 15
NOTES ON CONTRIBUTORS......Page 18
ACKNOWLEDGEMENTS......Page 21
MAKING THE MOST OF YOUR SCHOOL EXPERIENCE......Page 22
HOW TO USE THIS BOOK......Page 24
INTRODUCTION TO THE THIRD EDITION......Page 26
INTRODUCTION......Page 28
MATHEMATICS AND YOU......Page 29
MATHEMATICS AND EDUCATION......Page 31
COMPETING INFLUENCES ON THE MATHEMATICS CURRICULUM......Page 34
AGENCIES FOR CHANGE......Page 38
FURTHER READING......Page 42
INTRODUCTION......Page 43
THE SCOPE, PRESCRIPTION AND PRESENTATION OF THE CURRICULUM......Page 44
THE DEVELOPMENT AND REVISION OF THE CURRICULUM......Page 47
PERFORMANCE STANDARDS AND ASSESSMENT WITHIN THE CURRICULUM......Page 49
PROGRAMMES OF STUDY FOR THE CURRICULUM......Page 51
FURTHER READING......Page 62
INTRODUCTION......Page 63
THE SOCIAL CONTEXT OF LEARNING......Page 64
THEORIES OF LEARNING AND KNOWLEDGE......Page 66
FEELINGS AND MOTIVATION......Page 73
THE COGNITIVE DIMENSION......Page 75
FURTHER READING......Page 79
INTRODUCTION......Page 81
TEACHING AS LISTENING, ASKING AND TELLING......Page 82
FORMS OF CLASSROOM ORGANISATION......Page 87
RESOURCES AND IDEAS FOR ENHANCING YOUR TEACHING......Page 93
FURTHER READING......Page 104
INTRODUCTION......Page 106
LEARNING FROM TEACHERS PLANNING MATHEMATICS LESSONS......Page 107
PLANNING A LESSON, PLANNING COLLABORATIVELY......Page 113
PLANNING SEQUENCES OF LESSONS......Page 120
PLANNING FOR OUT-OF-SCHOOL LEARNING......Page 125
FURTHER READING......Page 126
INTRODUCTION......Page 128
LEARNING INTENTIONS AND SUCCESS CRITERIA (LISC)......Page 130
FEEDBACK......Page 137
QUESTIONING......Page 139
PEER AND SELF-ASSESSMENT......Page 143
FURTHER READING......Page 149
INTRODUCTION......Page 150
IN-CLASS ASSESSMENT......Page 151
OTHER ASPECTS OF IN-CLASS ASSESSMENT......Page 159
PUBLIC ASSESSMENTS AND EXAMINATIONS......Page 164
GCSE ASSESSMENT......Page 165
FURTHER READING......Page 172
INTRODUCTION......Page 173
THE NATURE OF MATHEMATICAL LANGUAGE......Page 174
WRITING MATHEMATICALLY......Page 181
FURTHER READING......Page 187
INTRODUCTION......Page 189
SOME BACKGROUND......Page 190
CALCULATING DEVICES......Page 193
SPREADSHEETS......Page 198
GRAPHIC CALCULATORS......Page 202
DYNAMIC GEOMETRY PACKAGES......Page 205
PROGRAMMING LANGUAGES – LOGO......Page 209
SMALL TEACHING PROGRAMS......Page 211
THE INTERNET AND CD-ROMS......Page 212
FURTHER READING......Page 214
INTRODUCTION......Page 216
ORIENTING TO SPECIAL NEEDS......Page 218
CLASSIFICATION AND CHARACTERISATION OF SPECIAL EDUCATIONAL NEEDS......Page 220
PARTICULAR SPECIAL NEEDS AND LEARNING DISABILITIES......Page 221
SPEECH, LANGUAGE AND COMMUNICATION AND EAL......Page 224
SENSORY/PHYSICAL IMPAIRMENTS......Page 226
ONE OF A TEAM......Page 227
FURTHER READING......Page 232
INTRODUCTION......Page 233
WHY DO PEOPLE DO MATHEMATICS?......Page 234
SKILLS FOR LEARNING MATHEMATICS IN CONTEXT......Page 235
STRENGTHS AND WEAKNESSES OF DIFFERENT CONTEXTS......Page 240
PROBLEMS WITH USING CONTEXTS IN TEACHING......Page 244
TEACHING MATHEMATICS IN CONTEXT......Page 245
FURTHER READING......Page 251
INTRODUCTION......Page 252
THE WHOLE CURRICULUM......Page 253
THE WHOLE PERSON......Page 260
FURTHER READING......Page 267
INTRODUCTION......Page 269
BACKGROUND: 14–19 PATHWAYS......Page 270
KNOWLEDGE FOR TEACHING......Page 271
QUALIFICATIONS: TYPES AND LEVELS......Page 272
MATHEMATICS AND QUALIFICATIONS POST-16......Page 274
THE NATURE OF STUDENTS POST-16......Page 281
TEACHING STYLES......Page 282
PREPARING TO TEACH A TOPIC......Page 284
THE USE OF ICT IN POST-16 MATHEMATICS......Page 286
REFLECTING ON THE PAST: LOOKING TO THE FUTURE?......Page 289
FURTHER READING......Page 292
INTRODUCTION......Page 294
FINDING THE RIGHT POST......Page 295
THE FIRST YEAR OF TEACHING......Page 297
DEVELOPING AS A TEACHER......Page 301
DEVELOPING AS A MATHEMATICIAN......Page 304
CAREER DEVELOPMENT......Page 305
FURTHER READING......Page 306
APPENDIX 1 GLOSSARY OF TERMS......Page 307
APPENDIX 2 SOURCES AND RESOURCES......Page 311
APPENDIX 3 MAKING CLOSED TASKS OPEN......Page 316
APPENDIX 4 STARTING WITH ICT: PRACTICALITIES FOR BEGINNERS......Page 318
APPENDIX 5 PRACTICAL TASK: ROLLING BALLS......Page 324
APPENDIX 6 GROUP ACTIVITY......Page 328
REFERENCES......Page 329
NAME AND AUTHOR INDEX......Page 341
SUBJECT INDEX......Page 343