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You can already view all the questions asked by the a user if you go to their profile and click on the "questions asked" button. For that matter, you can also see all the questions they answered if you click the "answered" button. The search question comes up every once in a while and is not quite so straight forward. The feeling is that Open Study is a tutoring site and having the ability to search for questions would deter some users from answering each question with the individual attention that it deserves. It is definitely a great question and should be a topic of ongoing feedback and discussion!
we can search a particular question of course. but it helps when you have a huge pile of answers or questions on your profile and especially when you find people asking ditto same concepts and ditto same questions every time, that too many times in just a day. but more than that, in forums like chemistry, it helps to search whether some particular topic has been searched or not... like some particular compound. so i ll say search would help. of course we can limit it, and put constraints as needed.
As blues mentioned our focus is more on the here and now. Unlike sites with a similar format (i.e. Stack Exchange) we're not really looking to become a knowledge base. We're an online tutoring resource. That said, this is something we're constantly re-evaluating. If we do implement it there will likely be some constraints to prevent people from just linking to other questions all the time.