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E-grāmata: Learning to Teach Mathematics in the Secondary School: A companion to school experience

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Edited by (The Open University, UK), Edited by (University of Alberta, Canada), Edited by (University of Warwick, UK)
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Learning to Teach Mathematics in the Secondary School combines theory and practice to present a broad introduction to the opportunities and challenges of teaching mathematics in the secondary school classroom. This fourth edition has been fully updated to reflect the latest changes to the curriculum and research in the field, taking into account key developments in teacher training and education, including examinations and assessment.

Written specifically with the new and student teacher in mind, the book covers a wide range of issues related to the teaching of mathematics, such as:





why we teach mathematics the place of mathematics in the National Curriculum planning, teaching and assessing for mathematics learning how to communicate mathematically using digital technology to advance mathematical learning working with students with special educational needs post-16 teaching the importance of professional development the affective dimension when learning mathematics, including motivation, confidence and resilience

Already a major text for many university teaching courses, this revised edition features a glossary of useful terms and carefully designed tasks to prompt critical reflection and support thinking and writing up to Masters Level. Issues of professional development are also examined, as well as a range of teaching approaches and styles from whole-class strategies to personalised learning, helping you to make the most of school experience, during your training and beyond.

Designed for use as a core textbook, Learning to Teach Mathematics in the Secondary School provides essential guidance and advice for all those who aspire to be effective mathematics teachers.
List of illustrations
x
List of tasks
xii
Notes on contributors xv
Foreword xviii
Series Editors' Preface xx
Preface to the fourth edition xxi
Introduction xxiv
Acknowledgements xxviii
1 Why do we teach mathematics?
1(12)
Robert Ward-Penny
Mathematics and you
Key purposes of mathematics education
Putting it together
Policy, practice and agencies for change
2 Mathematics in the National Curriculum
13(19)
Robert Ward-Penny
The presentation of the National Curriculum
Performance standards and assessment within the curriculum
International comparisons and interpretations of the National Curriculum
Secondary mathematics programmes of study
3 Learning mathematics: a cognitive focus
32(20)
Steven Watson
Mark Dawes
A Classroom Example
What do we mean by learning?
4 Learning mathematics: an affective focus
52(18)
Clare Lee
Sue Johnston-Wilder
Affective issues in mathematics teaching and learning
Taking account of affect in teaching: mathematical resilience
5 Planning for mathematics learning
70(22)
Keith Jones
Julie-Ann Edwards
Teachers planning lessons
Planning a lesson
Planning collaboratively
Planning sequences of lessons
Planning for inclusion and equity
Planning for out-of-school learning
Developing expertise for creative teaching
6 Teaching for mathematics learning
92(29)
David Pimm
Sue Johnston-Wilder
Teaching as listening, as asking and as telling
An interlude on
Fluency and on Understanding
Forms of classroom organisation
Resources and ideas for enhancing your teaching
7 Assessing mathematics learning
121(27)
Clare Lee
Assessment for learning
Assessment of learning
8 Communicating mathematically
148(16)
Candia Morgan
The nature of mathematical language
Writing mathematically
Communication as the key to assessment
9 Learning mathematics through digital technology
164(28)
Sue Johnston-Wilder
David Pimm
Some background
Calculating devices
Spreadsheets
Graph plotters
Graphing technology
Dynamic geometry packages
Coding and programming languages - Logo
Apps, applets and other small teaching programs
The internet, video and CD-ROMS
10 Perspectives and practices in the mathematics classroom
192(16)
Clare Lee
Robert Ward-Penny
Focus on technique: mathematical thinking
Focus on application: mathematics in context
Focus on understanding: mastery teaching
11 Working mathematically with students with special educational needs
208(20)
Carla Finesilver
Melissa Rodd
Public aspect: policies and professionalism
Personal aspect: orienting to special educational needs
Practical aspect: inclusion of students with SEND in the mathematics classroom
One of a team
12 Teaching mathematics post-16
228(27)
Geoff Wake
Knowledge for teaching
Qualifications: types and levels
Mathematics and qualifications post-16
Institutions catering for post-16 students
The nature of students post-16
Teaching styles
Preparing to teach a topic
The use of technology in post-16 mathematics
Reflecting on the past: looking to the future?
13 Getting the whole picture
255(18)
Clare Lee
The whole curriculum
The whole person
14 Professional development
273(16)
Clare Lee
Finding the right post
The first year of teaching
Developing as a teacher
Developing as a mathematician
Developing as a mathematics teacher
Career development
Appendix 1 Glossary of terms 289(3)
Appendix 2 Sources and resources 292(4)
Appendix 3 Making closed tasks open 296(1)
Appendix 4 Practical task - rolling balls 297(4)
Appendix 5 Group task 301(1)
References 302(12)
Name and Author Index 314(1)
Subject Index 315
Sue Johnston-Wilder is Associate Professor of Mathematics Education at the Centre for Education Studies, University of Warwick, UK.

Clare Lee is Lecturer and Subject Leader for the Mathematics PGCE at The Open University, UK.

David Pimm is Professor Emeritus from the University of Alberta and Adjunct Professor at Simon Fraser University, Canada.