The Right Angle

Evidence-informed approaches for great maths teaching
Ryan Woolaston - Head of Mathematics, DBS Denla British School, Thailand
The Right Angle
February 2027 | 232 pages | Sage UK
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Paperback
ISBN: 9781036213909
Available from February 2027

Description

Great secondary maths teaching is not magic. It is built from deliberate, evidence-informed decisions that shape how students think, practise and improve.

Structured around the linear flow of a typical maths lesson, this book explores the building blocks of effective classroom practice: purposeful beginnings and endings, clear modelling, responsive checking for understanding, rich questioning, independent practice and feedback that changes the next attempt. From qualifier questions to example problem pairs, each chapter connects practical strategies to research and contextualises them within the everyday realities of classroom teaching.

Drawing on cognitive science, evidence-informed pedagogy and extensive classroom experience, The Right Angle asks two simple questions throughout: why does this matter, and what might it look like in practice?

The result is a practical guide for maths teachers who want to make better classroom decisions, understand why effective strategies work and make every stage of the lesson count.

Contents

Foreword by Tom Sherrington

Foreword by Tom Sherrington

Chapter 1: Do you have a suit? Great teaching is built, not born

Chapter 1: Do you have a suit? Great teaching is built, not born

Chapter 2: In the beginning…: Because the first five minutes can define the whole lesson

Chapter 2: In the beginning…: Because the first five minutes can define the whole lesson

Chapter 3: Model behaviour: How to make expert thinking visible

Chapter 3: Model behaviour: How to make expert thinking visible

Chapter 4: Just checking: Why checking for understanding changes everything

Chapter 4: Just checking: Why checking for understanding changes everything

Chapter 5: Losing the stabilisers: The art and science of independent practice

Chapter 5: Losing the stabilisers: The art and science of independent practice

Chapter 6: Stick the landing: Making the most of how your lesson ends

Chapter 6: Stick the landing: Making the most of how your lesson ends

Chapter 7: What was the question? How to make questioning work harder for everyone

Chapter 7: What was the question? How to make questioning work harder for everyone

Chapter 8: Ticks don't teach: Why feedback is a process not an activity

Chapter 8: Ticks don't teach: Why feedback is a process not an activity

Chapter 9: The big picture: Building evidence-informed practice across your faculty

Chapter 9: The big picture: Building evidence-informed practice across your faculty

Chapter 10: Finding the right angle: Why great teaching is always a work in progress

Chapter 10: Finding the right angle: Why great teaching is always a work in progress

Chapter 11: Too long; didn’t read: A quick reference guide to the key ideas from cognitive science

Chapter 11: Too long; didn’t read: A quick reference guide to the key ideas from cognitive science

Description

Great secondary maths teaching is not magic. It is built from deliberate, evidence-informed decisions that shape how students think, practise and improve.

Structured around the linear flow of a typical maths lesson, this book explores the building blocks of effective classroom practice: purposeful beginnings and endings, clear modelling, responsive checking for understanding, rich questioning, independent practice and feedback that changes the next attempt. From qualifier questions to example problem pairs, each chapter connects practical strategies to research and contextualises them within the everyday realities of classroom teaching.

Drawing on cognitive science, evidence-informed pedagogy and extensive classroom experience, The Right Angle asks two simple questions throughout: why does this matter, and what might it look like in practice?

The result is a practical guide for maths teachers who want to make better classroom decisions, understand why effective strategies work and make every stage of the lesson count.

Contents

Foreword by Tom Sherrington

Foreword by Tom Sherrington

Chapter 1: Do you have a suit? Great teaching is built, not born

Chapter 1: Do you have a suit? Great teaching is built, not born

Chapter 2: In the beginning…: Because the first five minutes can define the whole lesson

Chapter 2: In the beginning…: Because the first five minutes can define the whole lesson

Chapter 3: Model behaviour: How to make expert thinking visible

Chapter 3: Model behaviour: How to make expert thinking visible

Chapter 4: Just checking: Why checking for understanding changes everything

Chapter 4: Just checking: Why checking for understanding changes everything

Chapter 5: Losing the stabilisers: The art and science of independent practice

Chapter 5: Losing the stabilisers: The art and science of independent practice

Chapter 6: Stick the landing: Making the most of how your lesson ends

Chapter 6: Stick the landing: Making the most of how your lesson ends

Chapter 7: What was the question? How to make questioning work harder for everyone

Chapter 7: What was the question? How to make questioning work harder for everyone

Chapter 8: Ticks don't teach: Why feedback is a process not an activity

Chapter 8: Ticks don't teach: Why feedback is a process not an activity

Chapter 9: The big picture: Building evidence-informed practice across your faculty

Chapter 9: The big picture: Building evidence-informed practice across your faculty

Chapter 10: Finding the right angle: Why great teaching is always a work in progress

Chapter 10: Finding the right angle: Why great teaching is always a work in progress

Chapter 11: Too long; didn’t read: A quick reference guide to the key ideas from cognitive science

Chapter 11: Too long; didn’t read: A quick reference guide to the key ideas from cognitive science

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The Right Angle

Evidence-informed approaches for great maths teaching


February 2027 | 232 pages | Sage UK

Format Published Date ISBN Price
Paperback 12/05/2026 9781036213909 $33.00
Hardcover 12/05/2026 9781036213916 $104.00

Great secondary maths teaching is not magic. It is built from deliberate, evidence-informed decisions that shape how students think, practise and improve.

Structured around the linear flow of a typical maths lesson, this book explores the building blocks of effective classroom practice: purposeful beginnings and endings, clear modelling, responsive checking for understanding, rich questioning, independent practice and feedback that changes the next attempt. From qualifier questions to example problem pairs, each chapter connects practical strategies to research and contextualises them within the everyday realities of classroom teaching.

Drawing on cognitive science, evidence-informed pedagogy and extensive classroom experience, The Right Angle asks two simple questions throughout: why does this matter, and what might it look like in practice?

The result is a practical guide for maths teachers who want to make better classroom decisions, understand why effective strategies work and make every stage of the lesson count.

Table Of Contents:

  • Foreword by Tom Sherrington
  • Chapter 1: Do you have a suit? Great teaching is built, not born
  • Chapter 2: In the beginning…: Because the first five minutes can define the whole lesson
  • Chapter 3: Model behaviour: How to make expert thinking visible
  • Chapter 4: Just checking: Why checking for understanding changes everything
  • Chapter 5: Losing the stabilisers: The art and science of independent practice
  • Chapter 6: Stick the landing: Making the most of how your lesson ends
  • Chapter 7: What was the question? How to make questioning work harder for everyone
  • Chapter 8: Ticks don't teach: Why feedback is a process not an activity
  • Chapter 9: The big picture: Building evidence-informed practice across your faculty
  • Chapter 10: Finding the right angle: Why great teaching is always a work in progress
  • Chapter 11: Too long; didn’t read: A quick reference guide to the key ideas from cognitive science

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