STEP Prep Module 3

Current

STEP Prep Module 3

Working through this module will help you to consolidate your existing knowledge before extending your thinking. For more details about the STEP prep programme, READ THIS.

Proof is at the heart of mathematics. This module introduces you to some different proof methods, together with some opportunities for you to have a go at writing your own proofs. Don't expect to write a perfect proof on your first attempt; most formal proofs begin life as a messy outline, which are written up neatly later.
An Introduction to Proof by Contradiction link

An Introduction to Proof by Contradiction 

Stage: 4 and 5

An introduction to proof by contradiction, a powerful method of mathematical proof.

An Introduction to Mathematical Induction link

An Introduction to Mathematical Induction 

Stage: 5

This article gives an introduction to mathematical induction, a powerful method of mathematical proof.

Direct Logic link

Direct Logic 

Stage: 5 Challenge Level: Challenge Level:1

Can you work through these direct proofs, using our interactive proof sorters?

Can You Prove It? link

Can You Prove It? 

Stage: 5 Challenge Level: Challenge Level:1

Here are a collection of statements to prove, to help you to practise writing out clear mathematical proofs.

Dodgy Proofs link

Dodgy Proofs 

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

These proofs are wrong. Can you see why?