1. ## Best way to develop your mathematical thinking.

Okay, I'll tell you a little about me.
I'm 16 year old, from Estonia. In math I think I'm in top 5-15% in my age. Well, okay that's fine, but I really want to be better.
I have no problem to solve the school math exercises, but I'd be glad to be better in olympiads. The problems over there are not normal and quite many of them which we haven't even learned about. So I was wondering, what would be the best way to develop myself to be better at solving mathematical problems which I haven't met before. Are there some kind of exercises that'd be good or perhaps I should do a lot of calculus everyday in my head to improve it. Which way is the most efficient, because I feel I could take a lot more out of my head than I'm taking at the moment.
I hope I chosed the correct forum to ask my question. I hope someone could answer me : )

2. Originally Posted by enzzz
Okay, I'll tell you a little about me.
I'm 16 year old, from Estonia. In math I think I'm in top 5-15% in my age. Well, okay that's fine, but I really want to be better.
I have no problem to solve the school math exercises, but I'd be glad to be better in olympiads. The problems over there are not normal and quite many of them which we haven't even learned about. So I was wondering, what would be the best way to develop myself to be better at solving mathematical problems which I haven't met before. Are there some kind of exercises that'd be good or perhaps I should do a lot of calculus everyday in my head to improve it. Which way is the most efficient, because I feel I could take a lot more out of my head than I'm taking at the moment.
I hope I chosed the correct forum to ask my question. I hope someone could answer me : )
really, the only way to get good at math is to practice, so i think the only answer to your question is practice. i would look at the next level of mathematics for example what you would learn next year, and challenge yourself with trying to learn and practice it

3. Yup, practice is important. But then there are fun ways to practice to.

Reading a text book and going through one example after another can send you to sleep

Why not try Mathematical games, there are plenty out there.
Play online maths games, or even puzzles like sudako can be quite useful.

Make maths fun, then it becomes fun to learn