Teaching secondary mathematics:
Gespeichert in:
| Hauptverfasser: | , , , , , , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Port Melbourne, VIC
Cambridge University Press
2016
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xii, 451 Seiten Illustrationen, Diagramme 25 cm |
| ISBN: | 9781107578678 1107578671 |
Internformat
MARC
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| 700 | 1 | |a Carmichael, Colin |4 aut | |
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| 700 | 1 | |a Ngu, Bing |4 aut | |
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Datensatz im Suchindex
| _version_ | 1804177448488665088 |
|---|---|
| adam_text | Contents
Preface ix
How to use HOTmaths with this book x
Acknowledgements xii
Part 1 Contemporary Issues in Learning
and Teaching Mathematics 1
Chapter 1 Introduction: the learning and teaching of mathematics 2
Michael Cavanagh
Introduction 2
Key terms 3
Mathematics for the twenty-first century 3
Mathematical proficiency and the Australian Curriculum 10
Theories about how students learn mathematics 12
Student engagement in learning mathematics 22
Summary 27
Chapter 2 Language and mathematics 30
Linda Galligan
Introduction 30
Key terms 32
Why language is important 33
The mathematics register 34
Language in the classroom 47
Technical communication 53
Summary 59
Chapter 3 Making mathematical connections 61
Gregory Mine
Introduction 61
Key terms 62
The importance of making mathematical connections 63
. Contents
What are mathematical connections? 68
Teachers practices in promoting mathematical connections 73
Science, technology, engineering and mathematics (STEM) 79
Putting activities into practice 83
Summary 91
Chapter 4 Using technology in mathematics education 94
Bruce White
Introduction 94
Key terms 95
Why use technology in the teaching and learning of mathematics? 96
Mathematics software 101
Devices used for teaching, learning and doing mathematics 107
Mathematics online 112
Summary 116
Chapter 5 Inquiry-based learning 117
Judy Anderson
Introduction 117
Key terms 118
Student-centred learning in mathematics classrooms 119
Teaching strategies that foster student-centred approaches 127
Problem solving and modelling in mathematics classrooms 131
Inquiry-based learning in mathematics classrooms 135
Collaborative and cooperative learning 139
Summary 142
Chapter 6 Gender, culture and diversity in the mathematics classroom 146
Gregory Hine
Introduction 146
Key terms 148
Gender in the secondary mathematics classroom 148
Culture in the secondary mathematics classroom 159
Special needs learners in the secondary mathematics classroom 166
Summary 176
Chapter 7 Assessing mathematics learning 178
Gregory Hine
Introduction 178
Key terms 179
Why assess? 180
What is assessment? 1Q4
Guidelines for creating assessments in secondary mathematics 197
Providing feedback to students 207
Summary 2^0
Contents
Part 2 Learning and Teaching Key Mathematics Content 212
Chapter 8 Number and algebra 213
Bing Ngu
Introduction 213
Key terms 214
The unknown, pronumeral and variable 215
Algebraic expression problems 219
The classification of linear equations 223
Teaching and learning linear equations in a hierarchical level of complexity 229
Algebraic problem-solving in real life contexts 236
Transferability of algebraic problem-solving to the science curriculum 244
Summary 247
Chapter 9 Measurement and geometry 249
Gregory Mine
Introduction 249
The importance of learning geometry 251
The importance of learning measurement 251
Key terms 252
The concept of geometric proof 253
The concept of transformation 264
Using technology in measurement and geometry 277
Summary 282
Chapter 10 Statistics and probability 284
Robyn Reaburn
Introduction 284
Key terms 285
The need for data and its collection 288
Descriptive statistics, tables and graphs 292
Tabular and graphical displays 302
Probability 311
Putting it all together: statistical inference 320
Summary 324
Chapter 11 Functions: a unifying concept 326
Colin Carmichael
Introduction 326
Key terms 327
Functions and their settings 328
Functions at the transition 329
Developing functions through the early secondary years 334
Functions in the senior secondary school 342
Summary 353
Contents
ff§gf
Chapter 12 Calculus 355
Robyn Reaburn
Introduction 355
Key terms 356
Troublesome knowledge, threshold concepts and concept image 357
What students need to know before beginning calculus 358
Derivatives 365
Reversing the process: anti-differentiation and integration 381
Summary 389
References 391
Index d Y?
|
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| isbn | 9781107578678 1107578671 |
| language | English |
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| spelling | Teaching secondary mathematics Gregory Hine, Robyn Reaburn, Judy Anderson, Linda Galligan, Colin Carmichael, Michael Cavanagh, Bing Ngu, Bruce White Port Melbourne, VIC Cambridge University Press 2016 xii, 451 Seiten Illustrationen, Diagramme 25 cm txt rdacontent n rdamedia nc rdacarrier Mathematik Mathematics Study and teaching (Secondary) Australia Mathematics Study and teaching Computer network resources Mathematikunterricht (DE-588)4037949-8 gnd rswk-swf Australien Mathematikunterricht (DE-588)4037949-8 s DE-604 Hine, Gregory (DE-588)1129202984 aut Reaburn, Robyn aut Anderson, Judy aut Galligan, Linda aut Carmichael, Colin aut Cavanagh, Michael aut Ngu, Bing aut White, Bruce aut Digitalisierung UB Bamberg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029672051&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hine, Gregory Reaburn, Robyn Anderson, Judy Galligan, Linda Carmichael, Colin Cavanagh, Michael Ngu, Bing White, Bruce Teaching secondary mathematics Mathematik Mathematics Study and teaching (Secondary) Australia Mathematics Study and teaching Computer network resources Mathematikunterricht (DE-588)4037949-8 gnd |
| subject_GND | (DE-588)4037949-8 |
| title | Teaching secondary mathematics |
| title_auth | Teaching secondary mathematics |
| title_exact_search | Teaching secondary mathematics |
| title_full | Teaching secondary mathematics Gregory Hine, Robyn Reaburn, Judy Anderson, Linda Galligan, Colin Carmichael, Michael Cavanagh, Bing Ngu, Bruce White |
| title_fullStr | Teaching secondary mathematics Gregory Hine, Robyn Reaburn, Judy Anderson, Linda Galligan, Colin Carmichael, Michael Cavanagh, Bing Ngu, Bruce White |
| title_full_unstemmed | Teaching secondary mathematics Gregory Hine, Robyn Reaburn, Judy Anderson, Linda Galligan, Colin Carmichael, Michael Cavanagh, Bing Ngu, Bruce White |
| title_short | Teaching secondary mathematics |
| title_sort | teaching secondary mathematics |
| topic | Mathematik Mathematics Study and teaching (Secondary) Australia Mathematics Study and teaching Computer network resources Mathematikunterricht (DE-588)4037949-8 gnd |
| topic_facet | Mathematik Mathematics Study and teaching (Secondary) Australia Mathematics Study and teaching Computer network resources Mathematikunterricht Australien |
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