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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
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Acknowledgements
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