Making Sense of Maths: Fair Shares - Teacher Book

Summary:

Making Sense of Maths is the only series that develops conceptual understanding.

This series will motivate, engage and develop the conceptual understanding of students at KS3 and KS4.

Students build their own problem solving strategies based on their understanding of the world around them which then support them to tackle functional questions.

The Teacher's Book provides support for the activities in the student book which develop the student's understanding of fractions, percentages, ratio and proportion. It also contains answers for the workbook questions which consolidate learning.

Making Sense of Maths has been based on Realistic Maths Education (RME) and extensively trialled in KS3 and KS4 classrooms in the UK by a team from Manchester Metropolitan University.

• Use alongside existing resources or on its own
  
• Ideal for Year 10s heading for the C/D borderline
  
• Ideal for intervention groups
  
• Supports the move from modular to linear specifications by improving knowledge retention
  
• Provides support for good teaching and learning under the current Ofsted criteria

• Builds confidence and motivation
• Addresses misconceptions
• Each title covers a different set of topics

Table of Contents:
Acknowledgements
Introduction
Chapter 1: Fractions
Mathematical focus: Representing fractions using the bar model
Intrduction, Sub sections, Resources
Lesson 1 and 2: Work experience
Lesson 3: Pablo's pizzas
Lesson 4: Pablo's pizzas. Coley the cutter
Lesson 5: Pizza fractions
Lesson 6: Pizza fractions. Summary
Chapter 2: Percentages
Mathematical focus: Using percentage bars and ratio tables
Introduction, Sub sections, Resources
Lesson 1: Downloading programs
Lesson 2: Downloading programs
Lesson 3: Going to the bank. Test results
Lesson 4: Depreciation. Summary
Chapter 3: Ratio
Mathematical focus: Further work with ratio tables and the bar model
Introduction, Sub sections, Resources
Lesson 1: What's in a necklace? The jewellery company
Lesson 2: Expanding the business
Lesson 3: Unthreaded necklaces. Pablo's pizza parlour
Lesson 4: Pablo's pizza parlour. Using the bar model for ratio problems
Lesson 5: Who is the fastest of them all?
Lesson 6: World record speeds and beyond? Animals on the motorway
Lesson 7: Jewellery prices. Buying electrical goods in America. Summary
Chapter 4: Multiplication and division
Mathematical focus: Multiplying and dividing fractions, decimals and percentages
Lesson 1: Martha making sense of multiplication
Lesson 2: Martha making sense of multiplication. Does multiplication make the answer bigger?
Lesson 3: Multiplying fractions
Lesson 4: Understanding division. Does division make the answer smaller?
Lesson 5: Mixing it up. Summary
GCSE exam-style questions
Answers
Solutions and strategies

About the Author(s):

Paul Dickinson taught maths in UK Comprehensive schools for over 20 years. He is now a Senior Lecturer at Manchester Metropolitan University, where he works with trainee teachers and develops and trials classroom materials based on RME(Realistic Maths Education).
Stella Dudzic taught for 22 years in secondary schools, including 9 years as head of department. She is currently Programme Leader for Curriculum at MEI and regularly leads CPD for teachers.  She is also a Principal Examiner.
Frank Eade has worked in mathematics education for over 25 years. He is particularly interested in using realistic situations to give students access to mathematics and in using students beliefs and misconceptions to help them move forward in mathematics.
Steve Gough taught maths for 20 years, 10 years as Head of Maths, in schools in Greater Manchester. Since 2008 he has been a Senior Lecturer in Maths Education at Manchester Metropolitan University and has worked with teachers to develop the 'Making Sense of Maths' series.
Sue Hough is a Senior Lecturer at Manchester Metropolitan University and has spent the last 6 years developing materials for 'Making Sense of Maths'. Previously Sue spent 18 years teaching maths in 11 - 18 schools and worked as a head of Maths.

Readership:
KS3 and GCSE students working from level 3 to level 7