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Developing Fractions Knowledge
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Developing Fractions Knowledge



© 2016 | 224 pages | SAGE Publications Ltd
Supporting and understanding your students’ fractional knowledge is crucial to their overall grasp of numbers and mathematics. By centralizing around three key stages of development, this effective guide will help you to assess your students’ understanding of fractions and modify your teaching accordingly.

These key stages are identified as: 
  • Stage 1a: Fair Sharing
  • Stage 1b: Part-Whole
  • Stage 2a: Disembedding and IteratingStage 2b: Measuring with Unit Fractions
  • Stage 2c: Reversing Fractions
  • Stage 3a: Fractions as Numbers
  • Stage 3b: Operating with Fractions
As the newest addition to the bestselling Maths Recovery Series, this book will be a useful guide for all primary classroom teachers and assistants, including experienced Mathematics Recovery instructors.
 
Introduction
 
Professional Learning and Three Grand Organizers for Arithmetic Instruction
 
From Whole Numbers to Fractions
 
Assessing Stages of Units Coordination
 
Teaching Students at Stage 1: Fragmenting
 
Transitioning to Stage 2: Part–Whole Reasoning
 
Teaching Students at Stage 2: Measuring with Unit Fractions
 
Teaching Students at Stage 2: Reversible Reasoning
 
Teaching Students at Stage 3: Fractions as Numbers
 
Teaching Students at Stages 2 and 3: Equal Sharing of Multiple Items
 
Teaching Students at Stages 2 and 3: Multiplying Fractions
 
Teaching Students at Stages 2 and 3: Adding and Subtracting Fractions
 
Teaching Students at Stages 2 and 3: Dividing Fractions
 
From Fractions to Algebra

I have been waiting with baited breath for this book to be published! It does not disappoint.

Chapters 1 and 2 give a fantastic step by step overview to the development in understanding of fractions which children will go through.

Really like the layout and that each chapter is dedicated to a stage in development as well as having assessment tasks and activities included in each.

We have already started our course but I hope to ensure this is recommended for next year. I will be suggesting this book to my students and will ensure an e-copy is in our library at the very least.

I hope this book will be instrumental in educating our students in how to ensure conceptual fractional development as most other texts simply show students how to teach using pre-partitioned shapes.

Miss Linda Lapere
School of Education, Social Work &, Dundee University
August 29, 2016

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