So here is my first monthly review video – I decided to make this video just to share with you what’s been going on over the last few weeks in my life as a professional maths tutor. Sometimes I get some really interesting questions from my students during lessons and I thought that it would be a good idea to share some of those questions and their answers with you.

In this video, for example, I discuss weak and strong forms of proof by induction – usually A Level Further Maths students will only really get familiar with weak induction but strong induction is a lifesaver in some cases where weak induction just wouldn’t cut it. I also talk about functions as I was asked some really good questions about functions in one of my lessons when I was doing transformations of graphs with a GCSE student of mine.

I made a couple of videos over the last month – one was about how to improve your GCSE Maths and the other was how to improve your A Level Maths. There will be another couple of videos over the next month so keep an eye out for them.

Other things that I touch on are a couple of books that I read over the last month. The first was Alan Sugar’s Autobiography – I know, I know, it’s not exactly a maths book but I read it anyway. I also read Surely You’re Joking Mr. Feynman by Richard Feynman, which is another autobiography, and I started reading, or should I say working through, The Works of Archimedes (that’s the famous Greek scientist Archimedes).

And lastly I introduce my new friend the Soroban (Japanese abacus) which I’ve started to learn to use. I’ve only been learning for a weeks or so but things are going in the right direction. I’ve found a link that is really useful for learning – it doesn’t tell you how to use a soroban but it throws up random addition problems so that you have to try to figure them out on the soroban; it’s something called Flash Anzan and has been really useful so far in getting me used to the various combinations that you need to know to use the soroban.

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