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Fractions
Geometric reasoning
Mental computation
Patterns
Reasoning
Statistics
Big ideas
Same and different
Classification
Noticing and comparing properties of shapes
Imagining missing elements
Visualisation
Visualisation of information
Mathematical truth
Truth of propositions
If-then
If-then statements
Proportional reasoning
Deduction
Deductive reasoning
Halving a rectangle
Proof
Proof: The foundation of mathematics
Good teaching
Reasoning for all students
Challenging all students
Effective questioning
The W questions
Deep thinking
Promoting deep thinking
A routine element of every class
Student-to-student dialogue
A social activity
Making mathematical connections
What do connectionist teachers do?
Assessment
Assessment approaches
Using open tasks
Observation
Students' writing
Using problem-posing
Designing tasks for assessing reasoning
Levels of proof
Ability to demonstrate reasoning
Ability to predict
Ability to make connections
Activities
Above and below the line
Bad apples
Challenging all students
Comparing properties of quadrilaterals
Covered by H
Do quadrilaterals tessellate?
Exploring nines
Surface area and scaling up
W questions covered by H
Downloads
Acknowledgements
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Reasoning
Site map
Big ideas
Same and different
Classification
Above and below the line
Above and below the line
Noticing and comparing properties of shapes
Comparing properties of quadrilaterals
Comparing properties of quadrilaterals
Imagining missing elements
Covered by H
Covered by H
Classification
Above and below the line
Above and below the line
Noticing and comparing properties of shapes
Comparing properties of quadrilaterals
Comparing properties of quadrilaterals
Imagining missing elements
Covered by H
Covered by H
Visualisation
Visualisation of information
Bad apples
Bad apples
Visualisation of information
Bad apples
Bad apples
Mathematical truth
Truth of propositions
Do quadrilaterals tessellate?
Do quadrilaterals tessellate?
Truth of propositions
Do quadrilaterals tessellate?
Do quadrilaterals tessellate?
If-then
If-then statements
Proportional reasoning
If-then statements
Proportional reasoning
Deduction
Deductive reasoning
Halving a rectangle
Deductive reasoning
Halving a rectangle
Proof
Proof: The foundation of mathematics
Proof: The foundation of mathematics
Good teaching
Reasoning for all students
Challenging all students
Challenging all students
Effective questioning
The W questions
W questions covered by H
Surface area and scaling up
Surface area and scaling up
W questions covered by H
The W questions
W questions covered by H
Surface area and scaling up
Surface area and scaling up
W questions covered by H
Deep thinking
Promoting deep thinking
Exploring nines
Exploring nines
Promoting deep thinking
Exploring nines
Exploring nines
A routine element of every class
Student-to-student dialogue
A social activity
Student-to-student dialogue
A social activity
Making mathematical connections
What do connectionist teachers do?
What do connectionist teachers do?
Assessment
Assessment approaches
Using open tasks
Observation
Rows of squares
Rows of squares
Students' writing
A learning story
A learning story
Using problem-posing
Using open tasks
Observation
Rows of squares
Rows of squares
Students' writing
A learning story
A learning story
Using problem-posing
Designing tasks for assessing reasoning
Levels of proof
Triangular numbers
Triangular numbers
Ability to demonstrate reasoning
Mungo man poster
Writing about similar triangles
Mungo man poster
Writing about similar triangles
Ability to predict
Paper folding
Symmetry resources
Folding shapes online
Paper folding
Symmetry resources
Folding shapes online
Ability to make connections
The array
The array
Levels of proof
Triangular numbers
Triangular numbers
Ability to demonstrate reasoning
Mungo man poster
Writing about similar triangles
Mungo man poster
Writing about similar triangles
Ability to predict
Paper folding
Symmetry resources
Folding shapes online
Paper folding
Symmetry resources
Folding shapes online
Ability to make connections
The array
The array
Activities
Above and below the line
Bad apples
Challenging all students
Comparing properties of quadrilaterals
Covered by H
Do quadrilaterals tessellate?
Exploring nines
Surface area and scaling up
W questions covered by H
Downloads
'Above and below the line' ideas, F–6
'Bad apples': Extension ideas for secondary students
Addition of Odd and Even Numbers video transcript
Compare and contrast: Content descriptions
Insects and spiders: An avenue for if-then thinking
Jan’s train
Max's statements
Other covering shapes
Problem solving versus reasoning
Reasoning statements
Sample response to quadrilateral tessellation
Some milestones in the development of mathematical reasoning
Some W question starters
Acknowledgements
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