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In which course should we teach solving general cubic and quartic equations?
5 votes

I'm used to seeing them "starred" in an algebra 2 or "college algebra" course. Starred means the extra topics that very advanced classes could cover. My experience is even for those classes nobody ...

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Duodecimal by Stealth
Accepted answer
5 votes

A. Cons: Distraction from normal topics (which many kids need to work on, are not meeting state standards). Just in that it is "extra material". Potentially confusing for kids struggling to master ...

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Why we don't normally teach chord, versine, coversine, haversine, exsecant, excosecant any more?
4 votes

They are almost never needed for applications problems in physics or engineering. Really sine, cosine and tangent are mostly what you need. Not even the reciprocal functions. I'm talking with ...

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Is it a bad idea to use an old textbook such as Differential and integral calculus, with examples and applications for calculus course?
3 votes

The text is fine (even good), but I would opt for Granville instead. Granville: Very clear by using simple vocabulary (low grade level English). Brief but not in a Rudin manner...more in a Schaum's ...

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Structure of math textbooks
2 votes

(Comment) I'm not really sure that your predicate is as you've described. I took down a copy of my Calc book (Thomas Finney 1980) and my college chemistry book (MSS fifth edition) and both are ...

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The royal road to calculus
1 votes

I suspect there is an implicit thinking about what the curriculum for a nascent math Ph.D. should be. But you need to realize that less than 1% of high school students will do this. And you don't ...

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Topics in Mathematics for a 15 minute demonstration
1 votes

I think you should tell us what the audience is. Just the selection committee or more general? Is the intent to be more of a research talk or a teaching demonstration or general interest talk? How ...

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How to introduce group theory to a general audience in 15 minutes?
1 votes

I like the mattress example. I was going to say 3d symmetry point groups (since it is visual and useful plus huge impact in chemistry and physics). But... The Reyes answer does what I want and ...

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What is the failure rate of students in Algebra 1?
0 votes

Here is a study on it: https://digitalcommons.fiu.edu/dissertations/AAI3249717/ "Algebra I and other predictors of high school dropout" A Google search on the two terms algebra and dropout reveals ...

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