Bill Cook
  • Member for 7 years, 10 months
  • Last seen more than a week ago
Rings before groups in abstract algebra?
15 votes

I have taught both groups first and a rings first course. When I was a post-doc at Rutgers University, I taught their standard introduction to modern algebra course using Hungerford's undergraduate ...

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Examples why university education is important for future high school teachers
15 votes

How can you hope to clearly explain something you yourself do not understand well? I have found the following line of reasoning is quite convincing for many skeptics: How hard did precalculus seem ...

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Is "conjugate of a binomial" a standard terminology?
8 votes

As James mentioned, to fully appreciate the term "conjugate" here we need to know a little about Galois theory. The field $\mathbb{Q}[\sqrt{2}] =\{a+b\sqrt{2} \;|\; a,b \in \mathbb{Q}\}$ ...

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Free Groups First Approach
5 votes

If you ask, "Why not begin with free groups?" You might first consider what a free group is. Although you can define them in term of equivalence classes of words, their true definition is in terms ...

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Is there a good way to explain determinants in an elementary linear algebra class?
5 votes

I'd say it's just plain tough to get through all this quickly. For an elementary class I typically dump out most proofs of why various properties hold and focus more on how the ideas hang together. I ...

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Which math class should I take as an exchange student in the USA (OH)?
1 votes

It sounds like Precalculus is the course you should take. A typical Precalculus course covers the topics you listed (without the differential calculus). However my best advice is to talk with (or ...

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