A puzzle resource for teaching induction: a maths EPQ idea
A title to start from
Can a set of puzzles teach proof by induction better than a textbook explanation?
Why it works as an EPQ
The artefact is a teaching resource you write; research on how students learn proof shapes it, and a small trial evaluates it.
Scope and difficulty
Accessible. Accessible. Original puzzles only; test with consenting peers.
The maths
Builds on these A Level topics: Proof · Sequences and series.
You would learn:
- Proof by induction (Further Maths)
- Common misconceptions in proof
- Designing a fair comparison
One possible plan
- Research misconceptions about induction.
- Write original puzzles that lead to the idea.
- Trial against a standard explanation with a short anonymous quiz.
- Evaluate and improve the resource.
Pitfalls
- Copying puzzles from books or websites.
- A comparison too small to say anything.
Where to start reading
- NRICH (University of Cambridge)
- Search for: misconceptions proof by induction research
Making something? Read the artefact guide first: an artefact still needs a research-based written report.
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