Key Ideas in the Teaching of Mathematics
Each entry in this list links to a list of resources which support a specific chapter of the book and website "Key Ideas in the Teaching of Mathematics"
Key Ideas - Chapter 2: Quantities and algebraic expressions
Five themes have been identified within the key idea of quantities and algebraic expressions: notations and conventions, structures and relations, the equals sign, modelling and using algebra to reason.
Resources to support this chapter can be found by following this link.
Key Ideas - Chapter 3: Ratio and proportional reasoning
Eight themes have been identified within the key idea of ratio and proportional reasoning: multiplicative relationships, managing relationships between several variables, ratios in mixtures, rates, proportional reasoning, scaling, division, and whole school approaches.
Resources to support this chapter can be found by following this link.
Key Ideas - Chapter 4: Connecting measurement and decimals
Six themes have been identified within the key idea of connecting measurement and decimals: measurement scales, compound measures, geometric measures, measurement and proof, angle measures and estimating measures.
Resources to support this chapter can be found by following this link.
Key Ideas - Chapter 5: Spatial and Geometrical reasoning
Six themes have been identified within the key idea of spatial and geometrical reasoning: spatial relations, 3D geometry, symmetry and transformations, similarity and congruence, geometric diagrams, and geometric proof.
Resources to support this chapter can be found by following this link.
Key Ideas - Chapter 6: Reasoning about data
Seven themes have been identified within the key idea of reasoning about data: inference, variability, sampling, context, signal and noise, graphs, and re-sampling.
Resources to support this chapter can be found by following this link.
Key Ideas - Chapter 7: Reasoning about uncertainty
Six themes have been identified within the key idea of reasoning about uncertainty: intuitions, misconceptions, simulations, modelling, distribution, and risk.
Resources to support this chapter can be found by following this link.
Key Ideas - Chapter 8: Functional relations between variables
Six themes have been identified within the key idea of functional relations between variables: function machines, generalise relations, solving equations, polynomial coefficients, functions as mathematical entities, and modelling.
Resources to support this chapter can be found by following this link.