Debates in Mathematics Education

Gwen Ineson, Hilary Povey, Gwen Ineson, Hilary Povey

• Publisher: Routledge
• Year: 2020
• Print ISBN: 9780367074982
• eBook ISBN: 9780429665004
• Topic: Education
• Subtopic: Education General

This new and updated second edition of Debates in Mathematics Education explores the major issues that mathematics teachers encounter in their daily lives. By engaging with established and contemporary debates, this volume promotes and supports critical reflection and aims to stimulate both novice and experienced teachers to reach informed judgements and argue their point of view with deeper theoretical knowledge and understanding.

Divided into five accessible sections, this book investigates and offers fresh insight into topics of central importance in mathematics education, with this second edition including new discussions and chapters on:

• Classic and contemporary issues of pedagogy, politics, philosophy and sociology of mathematics education
• International comparisons of achievement
• Digital technologies for teaching
• Mastery in mathematics
• Pop culture and mathematics
• Whether mathematics can be harmful

Designed to stimulate discussion and support you in your own research, writing and practice through suggested questions and activities throughout, Debates in Mathematics Education will be a valuable resource for any student or practising teacher, and those engaged in initial teacher education, continuing professional development or Master's level study. This book also has much to offer to those leading mathematics departments in schools and initial teacher education programmes, and to beginning doctoral students looking for a survey of the field of mathematics education research.

Index

Note: Italicized page numbers refer to figures, bold page numbers refer to tables.

ability (mathematical) 3, 5, 13, 30, 49, 55, 57–8, 60–3, 89, 93, 95, 125; ability-based teaching 63; grouping 48, 55, 63, 66; thinking 27, 48, 55–63, 66–7

absolutist 83, 95–6

abstract activity 101; see also activity

abstraction 36–7, 152, 196, 203, 234, 272, 276

accommodation, reformation, transformation in teaching for sustainability 206–7

achievement 3–5, 7–9, 13, 32, 44–5, 49–50, 52, 61–2, 66, 69, 71–2, 174, 224, 236, 247, 249, 259, 264

The achievement-wellbeing trade-off in education (Sahlgren) 50

Acker, J. 91

activity 43, 57, 60, 122, 148, 152, 178, 213, 221; abstract 101; mental 70–1; neutral 203; rule-breaking and 82; tasks and 144–6, 151

adolescence 269, 279–80

adults 32, 61, 92, 131, 212, 278

affective opportunities 234–5; see also opportunities

African-Caribbean students 59; see also students/learners

aggregated geographical measures 44

Ainley, J. 149

A-level (mathematics) 210, 241–2, 257, 269–73, 270, 272–3, 275–9

algebra 33–4, 228–30

algorithms 34, 113, 228–30; for calculation 112; in ICTs 31; mining of personal data 40; over-reliance on 174; security 179; vertical 178

alienation 67

Al-Khowarizmi’s equations 229

all-attainment groupings 60, 62, 73

all-attainment teaching 58, 66–76; see also teaching

Almagest (Ptolemy) 227

Angier, C. 74

Antikythera 230

anxiety 60, 170, 179

approaches 13, 15, 19, 95; see also accommodation, reformation, transformation in teaching for sustainability

Arabia 224

Archimedes 230, 236

Arendt, H. 38

Arithmetic Composition (van Doesburg) 231

Ark (multi-academy trust) 16, 18

artificial intelligence (AI) 159–60

arts 230–2

...

Table of contents

• Cover
• Half Title
• Series Page
• Title Page
• Copyright Page
• Contents
• List of illustrations
• List of contributors
• Introduction to the series
• Introduction to the volume
• Preface
• Acknowledgements
• SECTION ONE Debates about international comparisons
• SECTION TWO Debates about social justice
• SECTION THREE Debates about classroom matters
• SECTION FOUR Debates about mathematics teaching and social content
• SECTION FIVE Debates about assessment
• Index