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.
[This] is not a textbook nor is it a book to be read from cover to cover.... [It] gives an outstandingly thorough analysis of what is taught [especially] at Key Stage 3, and why, and how ... mathematics [can be] presented so that pupils ... become more confident about the subject with all the [consequent] benefits. ... I hope that this ... book ... will be read by many teachers of ... mathematics and that it is also used as a stimulus for discussion in school mathematics departments.
Professor of Mathematics Education
This book offers a very thoughtful and thought-provoking analysis of the current English curriculum specification. In so doing, it offers deep insights into the nature of mathematics teaching and learning. It should be part of every mathematics teacher's toolkit, both in the UK and beyond, as well as that of researchers, teacher educators and policy makers.
Mathematics in School, 2020.
Introduction and summary
I.Background: Why focus on Key Stage 3?
II.The general advice in the Key Stage 3 programme of study
III.The listed subject content for Key Stage 3
1.Number (and ratio and proportion)
3.Geometry and measures
4.Probability and Statistics
IV.A sample curriculum for all—written from a humane mathematical viewpoint
1.Very Brief version