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**TL;DR Summary:**education, history

I need to devise a module for next academic year which is an introduction to pure mathematics. They need to use this module as a stepping stone module such as number theory, group theory, combinatorics, real analysis.

What should I cover to make this an interesting and be used as a hook for them to be motivated to do pure mathematics? Should have an impact on them.

It will be a first-year university undergraduate module.