Simplifying Problems with Diagrams and Tables (Teach This Topic)
This guide supports a home-educated learner aged 11 to 16 in choosing diagrams and tables that make mathematical relationships easier to see. Open Full Article...
mathematical reasoning
Simplifying Problems with Diagrams and Tables (Parent Q&A)
This guide explains how diagrams and tables can organise mathematical information for learners aged 11 to 16. Open Full Article...
Simplifying Problems with Diagrams and Tables
A difficult-looking problem can become easier to reason about when its information is organised differently. Open Full Article...
Proving That an Answer Must Be True (Teach This Topic)
This guide supports a home-educating parent in teaching the difference between an answer that seems correct and a conclusion that must be true. Open Full Article...
Proving That an Answer Must Be True (Parent Q&A)
This guide explains the main ideas in the lesson about mathematical proof and certainty. Open Full Article...
Proving That an Answer Must Be True
What separates an answer that looks right from one that must be right? A correct result does not, by itself, show why it cannot be different. Open Full Article...
Finding Patterns and Testing Conjectures (Parent Q&A)
This guide explains how the lesson moves from noticing patterns to forming, testing and refining conjectures. Open Full Article...
Finding Patterns and Testing Conjectures
If a pattern has worked every time it has been checked, must it always be true? Open Full Article...
Finding Patterns and Testing Conjectures (Teach This Topic)
This guide supports a conversation about how mathematicians move from noticing patterns to making and testing precise conjectures. Open Full Article...
Working Backwards from a Result (Parent Q&A)
This guide explains working backwards as a general mathematical strategy. Open Full Article...
