A Creative Approach to Teaching Calculation
1st Edition
Published on 10. September 2015
96 pages
978-1-4729-1936-6 (ISBN)
Description
Calculations are the gateway to outstanding learning in mathematics, but many people struggle with the step-by-step procedures of calculation methods. This book motivates learners by using pattern, practical hands-on and real-world activities that engage the curiosity, and the innate mathematical ability, of pupils and teachers.
The material is addressed to teachers, and takes into account recent developments in teaching and the new Primary curriculum. It is based around practical classroom activities, with clear and concise explanations of the power of different calculation methods and images. It is designed to be quickly accessible to teachers who want to find engaging activities for their pupils.
The material is addressed to teachers, and takes into account recent developments in teaching and the new Primary curriculum. It is based around practical classroom activities, with clear and concise explanations of the power of different calculation methods and images. It is designed to be quickly accessible to teachers who want to find engaging activities for their pupils.
More details
Edition
1. Auflage
Language
English
Place of publication
London
United Kingdom
Publishing group
Bloomsbury Publishing PLC (Digital)
Target group
Professional and scholarly
ISBN-13
978-1-4729-1936-6 (9781472919366)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Book
09/2015
Bloomsbury Education
€41.03
Article exhausted; check different version
Person
Josh Lury is part of the Maths Leader and School Leadership Team in his primary school. He is the author of several educational books, including GCSE textbooks for Oxford University Press.
Content
- Cover
- HalfTitle
- Title
- Copyright
- Contents
- Introduction
- Some myths and misconceptions
- How to use this book
- Types of activity
- 1 A Sense of Number
- Getting a feel for number
- Taking an interest in number
- Patterns in number
- Understanding that pattern is the basis of all calculation
- Classroom environment
- Mathematical stamina and esteem - maths as an emotional activity
- 2 Mastery of Three Key Models
- Moving from using objects to mental strategies
- Harnessing the power of 100 squares
- What's the same and what's different?
- Pattern
- Counting and moving
- Using versus learning
- Quick sketches
- 100 square variations
- Harnessing the power of number lines
- Hidden assumptions and misconceptions
- Ordinality and cardinality
- Using versus learning
- A physical sense of number lines
- Drawing number lines usefully
- Jumping on and jumping back
- How far from x to y?
- Choosing your 'stop-offs'
- Zooming in. . . an infinity of numbers
- Harnessing the power of arrays
- What do we mean by arrays?
- Using arrays to understand number
- An efficient method of counting
- Arrays and areas
- Using arrays to understand number
- 3 Four Operations
- What is important about learning calculation?
- Why do we learn them in pairs?
- Are subtraction and division more challenging to learn?
- Multiple solutions and more challenging missing information
- Addition and subtraction
- Decimal place value
- Inverse operations (addition and subtraction)
- Column addition and subtraction
- Complements to. . . 10, 100, 1000 . . .
- Making adjustments
- Find the difference
- Method of equivalent difference
- Understanding the difference between addition and multiplication
- Double and half
- Grouping and sharing
- Inverse operations (division and multiplication)
- Multiplication chains
- Grid method
- Flexible partitioning
- Column multiplication
- Long and short division
- Alternative methods
- 4 Decimals and Fractions
- Common decimal misconceptions
- Decimal remainders
- Fraction calculations
- Addition and subtraction of fractions
- Multiplication and division of fractions
- Fractions and division
- Further mathematical thinking
- Always, sometimes, never true
- Always, sometimes, never statements about consecutive numbers
- Afterword
- Index
