With respect to Wikipedia mathematical articles I find that often simple mathematical concepts are not explained well. The information is not wrong, just expressed in professional mathematical jargon. A book like "All the Math You'll Ever Need" does much better. Wikipedia editors are nearly always amateur editors, although they may be enrolled in sophomore mathematics classes. A good textbook, or Wikipedia article requires a skilled teacher who can gradually introduce the reader to the concepts, and jargon of mathematics.
Fred Bauder
So far, the best phrasing I've come up with is: "What stands in the way of building and supplying low-cost, high-quality mathematics education via the internet?"
The art of encyclopedia-building doesn't seem to carry over directly to education. This should be of fairly general concern (the Wikimedia Foundation's mission is about developing and disseminating educational content).
I think there's a knowledge gap in there, maybe more than one. It's much easier for me to think about "engineering solutions" than it is to precisely specify a research problem question!! In particular, I'm thinking about
(a) building interactive textbooks that work for self-guided learners (b) building technologies to support live tutorials over the web (c) building infrastructure to help in developing good survey articles or similar content
The faculty here might want me to "pick one", but this is hard for me to do because I see each of these three approaches as being part of the puzzle. Asking how well one of them works in absence of the other is a bit like asking how well a fish can breathe in the absence of water.
So maybe the "research question" is about asking: What is the family resemblance of (a)-(c)? How do they work together as a system? Or maybe the question is about whether a given implementation of (a)-(c) shows any promise?
I seem to be struggling to switch from a hacking-oriented way of thinking about things to a research-oriented way of thinking about things. I'd appreciate some feedback from those of you in a position to offer advice on these matters.
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