After coming back from the National Olympiad camp, Sualeh Asif wants to help others understand how to solve proof-based problems. We think that it would be exciting to work through the IMO problems, from the start of 1959 with "basic" problems that help you gain confidence in proof-writing. Here is an example problem:
Q1. For every integer , prove that the fraction cannot be reduced any further.(POL)
Over time, as we develop our abilities, we will work on problems that increase in difficulty. So don't be afraid to dive into this set!
Here is the current plan:
Every week (if Sualeh is free), he will publish a note that lists out 3 problems from the start of the IMO. Everyone is free to comment and add their solution on that note. Here is the first set of IMO problems.
After a week, he will host a 60 min discussion on Slack which revolves around these problems, based on questions people raise or various solutions that he wants to discuss. The first session will be held this Saturday 10/26/2015 at 10pm IST, 930am PDT. (The timing for subsequent sessions is to be determined, and will recur at a fixed time)
Continued participation in the channel requires posting a solution to any listed problem (it can even be partial). The goal is to improve at proof-writing and problem-solving, and the best way to do so is to actually write out solutions and learn from them.
To join in the discussion, simply join #imo-discussion. It is currently an open group, which we might make private if that improves the quality of the discussion.
We are looking for people to help host and organize these sessions, so that we can make it weekly (instead of just when Sualeh is free). If you're interested in helping out, please let me know (You don't have to be able to solve all of these problems).