At the maths camp that the UK Maths Trust (UKMT) hosted, there were various subjects that I was able to dive into and learn about in more depth: for example, we had a geometry session everyday, and these sessions revealed to me a fresh side of mathematics since we quite literally started from scratch (the beginning of Euclidean geometry). The history behind where an equilateral triangle or perpendicular bisector comes from was really notable. A lot of the sessions gave me a context to where the maths we learn at school comes from. They also taught me a lot of useful and complex ideas, one of which was the pigeonhole principle. The basic idea of this principle was that if there are more pigeons than pigeonholes, then that must mean that in at least one of the pigeonholes there are two pigeons. It sounds simple, but it was very hard to apply to questions.
If you are interested in other subjects (I can't expand on more otherwise this will be very long) that we (the juniors) studied they were: number theory; writing mathematics; logic puzzles; proof by induction; modular arithmetic; repetition and chaos; graph theory; and combinatorics.
You may be thinking that all I did was just maths during the week, however there were fun evening activities such as: bowling; arts and crafts; a talent show; and quiz night - all of which were very enjoyable. Moreover, during breaks, you could relax, text your family/friends, or even play games. Another thing I did with my roommate was gather our snacks in a pile and then proceed to watch movies on netflix at night.
Overall, it was a great experience, I met a diverse range of new people and I don’t regret going!
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