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One in a series of six books written by internationally recognised experts and practitioners in numeracy intervention.

Developing Fractions Knowledge

Supporting and understanding your students’ fractional knowledge is crucial to their overall grasp of numbers and mathematics. By centralising around three key stages of development, this effective guide will help you to assess your students’ understanding of fractions and modify your teaching accordingly.

• Stage 1a: Fair Sharing
• Stage 1b: Part-Whole
• Stage 2a: Disembedding and Iterating
• Stage 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.




  1. Introduction
  2. Professional Learning and Three Grand Organizers for Arithmetic Instruction
  3. From Whole Numbers to Fractions
  4. Assessing Stages of Units Coordination
  5. Teaching Students at Stage 1: Fragmenting
  6. Transitioning to Stage 2: Part–Whole Reasoning
  7. Teaching Students at Stage 2: Measuring with Unit Fractions
  8. Teaching Students at Stage 2: Reversible Reasoning
  9. Teaching Students at Stage 3: Fractions as Numbers
  10. Teaching Students at Stages 2 and 3: Equal Sharing of Multiple Items
  11. Teaching Students at Stages 2 and 3: Multiplying Fractions
  12. Teaching Students at Stages 2 and 3: Adding and Subtracting Fractions
  13. Teaching Students at Stages 2 and 3: Dividing Fractions
  14. From Fractions to Algebra