Monthly Archives: November 2015

Mathematics: what is its knowledge?

…he is raging against methods of instruction that really aren’t very advanced, and really don’t lead to any great mathematical development.  We certainly can do better, and we will do better; not by abandoning aspects of traditional teaching that have … Continue reading


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What are disciplinary and substantive knowledge?

I’ll stray into areas where I know what I know is limited… but I’ve found what follows to be a very useful model, even if it’s not quite right.  Where I have it ‘not quite right,’ hopefully someone can fill in … Continue reading

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