Learning to Teach Mathematics in the Secondary School

Höfundur Sue Johnston-Wilder

Útgefandi Taylor & Francis

Snið ePub

Print ISBN 9781138943902

Útgáfa 4

Útgáfuár 2017

6.090 kr.

Description

Efnisyfirlit

  • Cover Page
  • Half Title Page
  • Series Page
  • Title Page
  • Copyright Page
  • Dedication
  • Contents
  • List of illustrations
  • List of tasks
  • Notes on contributors
  • Foreword
  • Series editors’ preface
  • Preface to the fourth edition
  • Introduction
  • Acknowledgements
  • 1 Why do we teach mathematics?
  • Introduction
  • Mathematics and you
  • Key purposes of mathematics education
  • Putting it together
  • Policy, practice and agencies for change
  • 2 Mathematics in the National Curriculum
  • Introduction
  • 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
  • Introduction
  • A classroom example
  • What do we mean by learning?
  • 4 Learning mathematics An affective focus
  • Introduction
  • Affective issues in mathematics teaching and learning
  • Taking account of affect in teaching: mathematical resilience
  • 5 Planning for mathematics learning
  • Introduction
  • 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
  • Introduction
  • 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
  • Introduction
  • Assessment for learning
  • Assessment of learning
  • 8 Communicating mathematically
  • Introduction
  • The nature of mathematical language
  • Writing mathematically
  • Communication as the key to assessment
  • 9 Learning mathematics through digital technology
  • Introduction
  • 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
  • Introduction
  • 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
  • Introduction
  • 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
  • Introduction
  • 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
  • Introduction
  • The whole curriculum
  • The whole person
  • 14 Professional development
  • Introduction
  • 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
  • Appendix 2 Sources and resources
  • Appendix 3 Making closed tasks open
  • Appendix 4 Practical task – rolling balls
  • Appendix 5 Group task
  • References
  • Name and author index
  • Subject index
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