Long answer: I guess that I would say that it depends on what you value. We were able to cover all of the topics that we normally do in abstract algebra, although we definitely did not cover all of theorems that one would normally cover.

I like this approach because I assume that students are absolutely going to forget the details, so I would rather they have a deep understanding of a couple of basic concepts rather than a shallower understanding of a lot of the details relating to the concept.

So if someone wants to be sure to cover every single theorem that is covered in the “standard” version of abstract algebra, I would say that this approach should not be for them. However, this curriculum is good for people who are interested in making sure that students understand the big picture.

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We also might be a little more traditional sometimes—if the teachers want to learn number theory, say, then we might give a lesson in it. But the default type of question we try to find is “fun.”

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