I am developing an app for kids and they will have a variety of problems from percentage problems, absolute value problems, negative number problems, fraction problems, etc. I was hoping to have a description of how to do each type before they began. Does anyone know of a good database where I could get all the descriptions from and then just cite that source?
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Since you have more grace period: These are list of links that will give you an idea on the topic that you are considering:
http://www.cimt.plymouth.ac.uk/journal/suurtamm.pdf
http://www.mathman.biz/
http://www.icme10.dk/proceedings/pages/ICME_pdf-files/tsg14.pdf
http://www.nctm.org/resources/content.aspx?id=17109
http://jumpmath1.org/
http://www.edu.gov.on.ca/eng/literacynumeracy/inspire/research/WW_problem_based_math.pdf
http://www.cemc.uwaterloo.ca/
(Particularly the last two links are interesting)
Sites that are like Khanacademy
http://www.mathtv.com/videos_by_topic
http://www.learnerstv.com/
http://videolectures.net/
http://www.learner.org/
http://www.brightstorm.com/
http://www.academicearth.org/
http://ocw.mit.edu/
http://www.artofproblemsolving.com/
(Particularly the last three are of high quality)
The only thing that comes to mind for me is Khan Academy, and it's not clear if Khan breaks the problems down into the same units that you desire for your app. In general, Khan already subsumes a huge portion of the demand for these kinds of flash-card-eqsue, math-training resources online. I'm sure they will move to an app soon if not already, and Khan also covers tons of other domains outside of math. I have no idea if you need permission or anything to cite their pages in your app.