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Thinking Through Mathematics

£39.00

Phase: 

  • Secondary

ISBN: 

978-1-899857-49-4

Published: 

Sep 2008

Thinking Through Mathematics is a resource for maths teachers at secondary level to create challenging maths lessons built on maths thinking skills. Teaching maths using thinking skills activities will develop transferable learning skills through interaction and independent learning.

You can now purchase the entire Thinking Through Series for the reduced price of only £149 - normally £318! Find out more about The Thinking Through Series.

Books and Training Products: If you are in the UK, your order should usually arrive within 7 working days. Please allow up to two weeks for deliveries outside the UK. Please note that some books and training packs are available to pre-order prior to publication; they will not be delivered until they are published.

eBooks: If purchased by credit card, you will be provided with easy download instructions for immediate download. If purchased by invoice you will have to wait until we have confirmed that your email address and contact details match your school’s. This is typically done on the following working day. Please note that sometimes e-books are available to pre-order prior to publication; they will not be available for download until they are published.

Benefits

The activities included in Thinking Through Mathematics will help you to:

  • Encourage students to discuss and share their mathematical understanding with each other, and with you
  • Vary the diet of teaching and learning for you and your students
  • Develop students’ reasoning and thinking skills so that they are able to take a more active role in lessons
  • Enable students to realise that mathematics is not always about getting one right answer
  • Make maths a more enjoyable experience for all.

Summary of contents

Thinking Through Mathematics provides teachers of maths with 21 thinking skills activities which develop both generic thinking strategies and more specialised mathematical thinking.

Thinking Through Mathematics is divided into three parts:

Part One provides you with a general introduction to the book. It takes you through the principles that underpin thinking skills, the benefits of teaching thinking in the mathematics classroom, the structure of the book and information about the exemplars included.

Part Two contains 21 exemplars, grouped under eight thinking skills strategies. Each of the strategies is demonstrated with at least one activity which was developed for use in the mathematics classroom and trialled with different age and attainment groups.

Part Three elaborates and expands on points made in the exemplars, drawing attention to why the teachers did things in a particular way, and to how you might adapt them to your own teaching and learning contexts.

Chapter breakdown

Part 1 – Setting the scene

Introduction
Powerful learning
Why was this book written?
Collaborative practice
 

Chapter 1: The big picture

Leading in learning
Improving Learning in Mathematics
Thinking mathematically
Improving students’ attainment
 

Chapter 2: How to use the book

Part One: Setting the scene
Part Two: Strategies and exemplars
Part Three: Thinking Skills and mathematics teaching and learning
Strategies and exemplars
The CD

Chapter 3: The strategies

Part 2 – Strategies and exemplars

Strategy 1 – Odd One Out

Exemplar 1 Sometimes or always? (Algebra)
Exemplar 2 Transformations (Shape and space)
Exemplar 3 Fractions, percentages and decimals (Number)
Exemplar 4 Shapes and angles (Shape and space)

Strategy 2 – Collective Memory

Exemplar 1 Formulae sheet (Algebra)
Exemplar 2 Simple transformations (Shape and space)

Strategy 3 – Classification

Exemplar 1 Angle properties of triangles (Shape and space)
Exemplar 2 Identifying compound shapes (Shape and space)
Exemplar 3 Three-dimensional shapes (Shape and space)
Exemplar 4 Linear and quadratic graphs (Graph work)
Exemplar 5 Number sequences (Number)

Strategy 4 – Living Graphs and Fortune Lines

Exemplar 1 The house swap (Graph work)
Exemplar 2 Football share prices (Graph work)

Strategy 5 – Mysteries

Exemplar 1 The garden (Shape and space)
Exemplar 2 Where should the Hunter family go on holiday? (Number)

Strategy 6 – Relational Diagrams

Exemplar 1 Geometrical reasoning (Shape and space)
Exemplar 2 Number properties (Number)

Strategy 7 – Taboo

Exemplar 1 Various words and topics

Strategy 8 – Sequencing

Exemplar 1 The zin obelisk (Number)
Exemplar 2 Triangle theorems (Shape and space)
Exemplar 3 Creating and solving equations (Algebra)
 

Part 3 – Thinking Skills and mathematics teaching and learning

Chapter 4: What do Thinking Skills lessons look like?

Principles of teaching thinking
Key episodes in Thinking Skills lessons
Characteristics of Thinking Skills lessons

Chapter 5: The roles of the teacher in the Thinking Skills classroom

Implications for the roles of the teacher
Mediation
Exploratory talk
Mediation and exploratory talk and key episodes of Thinking Skills lessons
What can you do to promote and develop students’ metacognition
Implications for the roles of learners

Chapter 6: Practical advice and suggestions for getting started

Five rules of thumb for teaching thinking to support mathematical learning
What support is needed to maximise students’ learning?
Working in groups
What is your role?

Chapter 7: How Thinking Skills lessons can develop mathematical habits of mind

Habits of mind
Mathematical Thinking Skills
Mathematical problem solving
Visualisation

Chapter 8: Stages of professional engagement

What support is there for teachers’ learning?
Bibliography

Details

Spiral bound, 225 x 297, 148 Pages, Published 30/09/2008