User blog comment:Noeinstein777/Why KA?/@comment-24808864-20140706165529/@comment-24808864-20140707145259

Sure, here is an example of an exercise page (very rough draft) that I helped make in the Prob/Stats mission. http://khanacademy.wikia.com/wiki/Adding_probabilities.

The topic itself can be self-contained as "adding probabilities" it could be connected to other probability problems (multiplication/complementation) and it could be viewed as a more general rule that abstracts the simpler "addition rule for disjoin sets." The KA exercise includes this exercise under "Venn Diagrams and adding probabilities" playlist which is good. The video linked to the exercise shows an 11 minute explanation about "yellow and purple cubes and spheres" I think. That examples is a great example and is explained well, but it is very specific. My students sometimes complain that they watch the explanation and do not see how it connects to the exercises they are doing.

So you can see on our exercise page I include the actual formal rule, which is another reason I think your "strategy guide" idea is very good. I am trying to get out an initial draft on all the exercises and then later on edit them with additional information about how to solve the type of problem, rather than the specific problem.

As you mention, many different learning styles. KA is great for learners by watching (videos) learners by doing (exercises) but there are other approaches to learning that I think might eventually connect. Maybe KA will do this eventually, but while I am currently using this with my students I want to try to provide this resource for them (especially since I am requiring participation on kA)!

Please let me know if I at least partially answered your question, or if I missed it. I sometimes ramble on topics where I have a lot of ideas that are not yet formal. I think I will have a much better idea of I am going to be close to my goal later! In my head it looks good, but I want to see if the reality is as good as it seems in my head.