• Big ideas
  • Key knowledge
    • Place value
    • Number sequences
    • Number facts: Addition and subtraction
    • Number facts: Multiplication and division
  • Generalising patterns and relationships
    • Commutative and associative properties
    • Distributive property of multiplication
    • Inverse operations
  • Fluency and flexibility
  • Strategic choice
• Misunderstandings
  • Learning issues
    • Memory load
    • Number sense
    • Pattern and structure
  • Mental calculation
    • Place value
    • Reliance on counting
    • Division as sharing and measuring
• Good teaching
  • Addition and subtraction
    • Doubles
    • Bridging decades
    • Standard place value
    • Friendly numbers
    • Subtraction as difference
    • Making choices
  • Multiplication and division
    • Visualising arrays
    • Building connections
    • Making generalisations
    • Number fact fluency
    • Making suitable choices
  • Combined operations
    • Repeated operations
    • Mixing operations
• Assessment
  • Approaches
    • Forms of interviews
    • Observations
• Activities
  • Back through ten
  • Equal differences
  • Facts and models
  • Facts within facts
  • How many possible ways?
  • Investigating patterns
  • Parking ones and moving tens
  • Partial arrays
  • Renaming to add and subtract
  • Splitting arrays
  • The power of ten
  • Up through ten
  • Using tens
  • What do I know?
  • What do you see?
• Downloads
• Acknowledgements