PurpleVermont
  • Member for 7 years, 9 months
  • Last seen more than 4 years ago
  • Vermont
Cost and benefits of compartmentalization in k-12 curriculum
10 votes

The compartmentalization drives me crazy. I'll have students who can use the distributive law perfectly when we're on the "distributive law" chapter in the book. But if I later give them a problem ...

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In math courses with writing requirements, how should large papers be graded fairly?
10 votes

For a "writing in the disciplines" course, which it sounds like this is, think about what it means to be a writer in this discipline. For a writing in mathematics course, I'd expect writing of a ...

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Arithmetic / Algebra problem generation software?
9 votes

There are a number of resources I like out there. I tend to use a variety of different sites for different needs -- I don't think there is one that "does it all" but here are some of my favorites. ...

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Lecturers "(intentional) mistakes" as a teaching tool
9 votes

Here's an anecdote from being an undergraduate student working in a tutorial center. Students could come in and ask us questions about a fairly long list of standard introductory courses (we each ...

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Do all high school students need the same 3-year sequence of math courses?
7 votes

I've always thought we should teach students more statistics. Including "uses and abuses" thereof. Serious statistics does require calculus, of course, but I'd throw a non-calculus-based statistics ...

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How to arrive at infinitude of primes proof?
6 votes

I think using actual small primes actually detracts from finding the solution. If you are thinking about finding a number that is not divisible by 2,3, or 5, it is easy to come up with one (11) ...

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What is a logical way to introduce probability and statistics to students that don't know fractions or percentages yet?
Accepted answer
6 votes

I definitely think you can get the intuitions behind probability to elementary age kids, and doing so might even be a way to introduce the important notions of equivalent fractions / related rates / ...

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What is the best way to teach compound interest in high school?
5 votes

I would start by making them produce an amortization table for a compound interest loan "by hand" (in a spreadsheet program like Excel). You can have them do a standard amortization table, and then ...

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How to compile a crash course on Mathematics?
Accepted answer
4 votes

I'm not sure if this is helpful, but the Art of Problem Solving Textbooks are written in a style similar to the one you seem to be proposing, and they are excellent. http://www.artofproblemsolving....

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Helping a reluctant 12 year old
3 votes

I'll reiterate the suggestion to play games with your daughter and give her games to play, rather than requiring her to do exercises. If your daughter has a limited amount of "screen time" (for ...

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Extremely "hard" books (or handouts) for undergrad studies
3 votes

For Calculus, I suggest: http://www.artofproblemsolving.com/Store/viewitem.php?item=calculus (which has an available solutions manual as well). Many of the problems in the book are collected contest ...

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What is a good "simplification policy" for a college course with no calculators?
2 votes

I'm not sure if you're asking specifically about simplifying radicals, or if you're asking a more general question, but for your radical examples, I would think that the Algebra I notion of ...

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Mathematical thinking skills for engineering students
2 votes

This is not explicitly an Engineering Mathematics textbook, but take a look at The Art of Problem Solving's Calculus text. The AoPS textbooks are intended for students with a strong interest in ...

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