Nate Bade
  • Member for 4 years, 2 months
  • Last seen more than a month ago
Why do some linear algebra courses focus on matrices rather than linear maps?
21 votes

Welcome Kostya! The mapping view is definitely important, but I don't think it's supreme. For me here's how I think about it. There are three ways to think about (basic) linear algebra: As a theory of ...

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Co-curricular lessons between geometry and chemistry?
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19 votes

One angle you could look at is molecular geometry. Not really my subject area but a couple of examples: Organic molecules can have different chiralities. That means that while one is the mirror image ...

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Resources for teaching calc III
10 votes

Since no one's posted an answer I will get things started with some general advice. Calculus 3 is my favorite course to teach, but it can be a bear to wrestle with the first few times. Some more ...

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Can some lovers of math truly never create something previously unseen?
8 votes

I feel like the question you are interested in is whether there is a "kind of person that can produce mathematics" and a "kind of person that can't." I don't know of any conclusive ...

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What's the point of exercises without answers?
8 votes

To add to Namaste's answer above, two of the thing we're trying to teach in math is literacy and competency with the algorithms used to solve problems and the ability to solve problems for which you ...

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Pedagogical advice/articles for graduate student teaching assistants
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8 votes

The MAA has quite a long guide for new TA's, it's a little too much to take in at once but as a supplement it's very good, it's got a section on everything you could hope for: I agree with Brendan ...

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How to design multiple choice questions
8 votes

Use them for what they're best at testing, like conceptual understanding questions. One way to do this is by having students evaluate statements they would never be expected to come up with on their ...

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How important is making definitions plausible?
7 votes

(1). It's going to depend on level to a huge degree. In my experience, up into advanced undergraduate you could expect definitions to be named sensibly and an instructor to explain how a sensible name ...

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"Real world" examples of implicit functions
6 votes

Economics has a ton of applications since they are interested in relationships between variables, not functions per se. Two simplish ones that come to mind are Price elasticity of demand: Supply ...

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Are students being adversely affected by cranks or trolls in online math forums?
5 votes

I had a couple but one in particular sticks out: years ago I was teaching a summer program for middle school students, one of the other instructors suggested I show my students the youtube video "...

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Are there mathematical proof info-graphics?
4 votes

Math With Bad Drawing has some images that approach an info-graph (and in general is just a great website for math education), for example: https://mathwithbaddrawings.com/2015/07/01/infinity-plus-...

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How to convince the following probability problem to highschool student?
4 votes

To use set builder notation you need to carefully state to which set every element you want to discuss belongs. In general it goes $P = \{x\in\text{some set} : x\text{ satisfies some truth evaluable ...

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Cognitive demands of a mathematical task
4 votes

One theoretical framework for designing actives and assessments is ETS's Evidence Centered Design framework, although it requires long term analysis of a task or series of tasks in conjunction with ...

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Mobile phone apps that would allow for students to anonymously "buzz" me in real time?
Accepted answer
3 votes

You might just want to use a game buzzer app. There are tons of them for jeopardy like games/pub quizes that you can find online. Students have to sign up but they don’t have to use their real names. ...

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Group theory by geometry
3 votes

Interesting question, here are some ideas just off the top of my head: Direct product groups act on Cartesian products, so the symmetry group of two two squares rotating independently (you could then ...

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To what extent is MSE reputation an indication of potential in education?
3 votes

I'm not a tenured faculty member so take this with a grain of salt: No one is going to care, your reputation in the field and job prospects will almost certainly be based on your PhD work. Many people ...

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How shall we teach math online?
2 votes

We're on Blackboard as well, here's some workflow's we've been experimenting with to do everything through that interface: Lectures: Blackboard Collaborate Ultra works pretty well here. Just remember ...

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The use of software to formulate problems in multivariable calculus
2 votes

There are already several "yes" answers so I'll give you a qualified "no": What you do in class is what your students learn, so it depends on what you want to teach them. They should of course be ...

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Resources for precalculus applications
2 votes

I don't know of a good problem book but I found D.H. Collingwood, K.D. Prince and M. M. Conroy's OER precalculus book to be a quite good source of well thought out word problems.

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Statistics, for the mathematically rigorous
1 votes

Kevin Arlin already gave my "best" answer in All of Statistics. That said, statistics is a large topic. If you're looking specifically at inference and statistical learning and want a ...

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Appealing thinking games, that are easy to make; easy to learn, and easy to play
1 votes

Set ( https://en.wikipedia.org/wiki/Set_(card_game) ) Set is my go to for primary school: You could make your own version without too much trouble. It's about pattern matching, it's real time, as ...

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Is there any high school level summer program that teaches Analysis?
1 votes

The answers in the comments are probably the best (in particular @James S. Cook's advice to talk to a professor at a local university if you have such a connection) but here's at least a list to get ...

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