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Teaching Mathematics at Secondary Level

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Tony Gardiner, University of Birmingham

Copyright Year: 2016

ISBN 13: 9781783741397

Publisher: Open Book Publishers

Language: English

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Table of Contents

I. Background: Why focus on Key Stage 3

II. The general advice in the Key Stage 3 programme of study

  • 1. Aims
  • 2. Working mathematically

III. The listed subject content for Key Stage 3

  • 1. Number (and ratio and proportion)
  • 2. Algebra
  • 3. Geometry and measures
  • 4. Probability and Statistics

IV. A sample curriculum for all-written from a humane mathematical viewpoint

  • 1. Very Brief version
  • 2. Brief version

Ancillary Material

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  • About the Book

    Teaching Mathematics is nothing less than a mathematical manifesto. Arising in response to a limited National Curriculum, and engaged with secondary schooling for those aged 11 ̶ 14 (Key Stage 3) in particular, this handbook for teachers will help them broaden and enrich their students’ mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts that need to be borne in mind by all teachers and textbook authors—but which are little appreciated in the UK at present.

    This study is aimed at anyone who would like to think more deeply about the discipline of ‘elementary mathematics’, in England and Wales and anywhere else. By analysing and supplementing the current curriculum, Teaching Mathematics provides food for thought for all those involved in school mathematics, whether as aspiring teachers or as experienced professionals. It challenges us all to reflect upon what it is that makes secondary school mathematics educationally, culturally, and socially important.

    About the Contributors


    Tony Gardiner, former Reader in Mathematics and Mathematics Education at the University of Birmingham, was responsible for the foundation ofthe United Kingdom Mathematics Trust in 1996, one of the UK’s largest mathematics enrichment programs. Gardiner has contributed to manyeducational articles and internationally circulated educational pamphlets. As well as his involvement with mathematics education, Gardiner has alsomade contributions to the areas of infinite groups, finite groups, graph theory, and algebraic combinatorics. In the year 1994-1995, he receivedthe Paul Erdös Award for his contributions to UK and international Mathematical Challenges and Olympiads. In 1997 Gardiner served asPresident of the Mathematical Association, and in 2011 was elected Education Secretary of the London Mathematical Society.

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