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When I was 16/17 I did private maths tutoring for some of my classmates. As a tutor I enjoyed the conversations we had about 'why'. These people were missing a lot of context about why they were even doing anything, so the steps were all mechanical and it was hard for them to do anything beyond what they'd memorised. Conversations about the material, outside what's strictly required to solve a problem, really work wonders.

As for teaching outside the comfort zone, I actually think that's a great opportunity. It puts you in the same place as your student so you can model the meta-cognitive skills of learning, curiosity, etc. You can even demonstrate how to 'fail' at something with grace - and give the student the opportunity to be better than their teacher at something!




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