16 votes

Prisoner's dilemma formulation for children

Here's a silly example: Give students collections of the same type of thing, where each collection contains "good" objects and "bad" objects -- for example, a stack of Pokemon cards with both rare ...
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  • 7,696
14 votes

Prisoner's dilemma formulation for children

I found out about the Prisoners' Dilemma as a kid from a book about the Harry Potter phenomenon, which had a chapter about the problem, but presented as a story about Harry and Draco being accused of ...
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  • 241
12 votes

Where can I find public repositories of past math exams?

Quite a few universities publicly post the math exams their faculty write: UC Berkeley hosts an archive of their past exams, sorted by course. University of Michigan hosts past exams for some ...
10 votes

Resources for teaching calc III

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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  • 1,881
8 votes

Prisoner's dilemma formulation for children

I like Nick C's idea more than modifying the typical formulation. The notion of snitching on a friend, regardless of the severity of the "crime", has real-world ramifications beyond the punishment ...
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  • 5,539
8 votes
Accepted

Source material to study number theory?

I've heard very good reviews of the 2017 book, "An Illustrated Theory of Numbers" by MH Weissman. The book's main site is here; a write-up, along with some reviews, by the American ...
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8 votes
Accepted

Resources on interdisciplinary curricula

Paul Lockhart's Measurement and David Foster Wallace's Everything and More incorporate history, language and art in their exploration of mathematics. 1) Measurement explores mathematics as art form,...
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7 votes

Resources for undergraduate knot theory

You may find the SageMath knot and links capabilities useful for computation and visualization. The Knot Atlas might be a bit more comprehensive than you are looking for but is certainly a reference ...
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  • 5,752
6 votes
Accepted

Resources for undergraduate knot theory

I don't know much about knot theory but I know that Meike Akveld taught knot theory at both high school and university level. Here's a bibliography of one of her courses at ETH Zürich: https://www2....
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  • 699
6 votes

Mnemonics to correlate the definition of "asymmetric relation" and "antisymmetric relation" with the terms

First, let's note that the terms as used by Rosen are standard definitions, as we can see on Wikipedia (here and here), as well as other resource sites. There was some question about this in the ...
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5 votes

Resource to supplement to Euclid's Elements

Euclid the game is a set of challenges built in Geogebra. It allows the student to progress through the elements gaining additional tools as they go or solve each using only straight edge and ...
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5 votes

Online course for Algebra II

The folks at Art of Problem Solving have what you need. It's not cheap ($559), but they work with many students like you, and are highly recommended. I think you will find it worth what it costs, if ...
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  • 17.3k
5 votes

Online course for Algebra II

This won't help the OP for the summer of 2017, but let me put this here for future readers of this site: Michigan Virtual High School is (as I write these words) developing its own online Algebra 2 ...
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  • 16.3k
5 votes

Fundamental Ideas in Mathematics

Researchers Sebastian Rezat, Mathias Hattermann and Andrea Peter-Koop have published a book "Transformation - A Fundamental Idea of Mathematics Education". You can find the link here. This is a ...
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  • 2,879
5 votes

Resources for mathematics for sustainability

Possibly worth looking at is: Earth Algebra: College Algebra With Applications to Environmental Issues by Christopher Schaufele and Nancy Zumoff (1995 1st edition and 1998 2nd edition) See this review ...
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4 votes

Online course for Algebra II

The Florida Virtual School offers high school level classes in all subjects, including Algebra 2, and is very well regarded. They're considered a school district within the Florida school system so I ...
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  • 1,153
4 votes

Best Way to Learn Trigonometry

I personally would prefer a textbook recommendation I can download or pick up that is [preferably] not old and does not make trigonometry intimidating to approach (especially one that emphasizes ...
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  • 2,261
4 votes

Best Way to Learn Trigonometry

Maybe a visual approach could supplement your study? There are many such resources available on the web, not in textbooks. E.g., Trig Intuitively:               &...
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4 votes

Best Way to Learn Trigonometry

Schaum's outlines are very practical in general and cheap. Well suited to an older learner. Often the answers are right after the problems versus at the end. And you get all the answers, not the ...
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  • 57
4 votes

Data on textbook adoptions in universities (math/science)

The Open Syllabus Project presents a large amount of data about books listed on syllabuses of courses taught around the world (especially in the USA and not only about math/science). I think that it ...
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  • 992
4 votes
Accepted

Is there any video lecture series on Graph Theory which uses "Introduction to Graph Theory" by Douglas West? as the text

The Canvas class for Dartmouth's Spring 2020 course in Graph Theory, Math 38, seems to be mostly open. According to the syllabus, the course uses the 2nd edition of West's Introduction to Graph Theory....
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  • 663
4 votes

Multivariable Calculus Project Ideas

I have 3d printing as an extra-credit option for some projects, which are usually framed as a (fictional) business person looking for math equations to use specifically so they can then 3d print their ...
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  • 41
3 votes

Prisoner's dilemma formulation for children

It sounds like you wish to protect your students from the violence and greed of the adult world, while still making the dilemma real enough to keep them engaged. To that effect, I offer two solutions....
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3 votes
Accepted

Resource to supplement to Euclid's Elements

A1/ I'm not sure why you would need a companion to Euclid. Euclid is already a textbook and you can progress through it as leisurely as you like... I prefer Sir Thomas Heath's version. But the two ...
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3 votes

Recommendation for an introductory operations research book

If you are teaching a class for the first time, there is something to be said about using the same text as the last instructor. But if you are interested in trying something new, you might like "...
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  • 1,426
3 votes

Source material to study number theory?

As a software engineer, the book "concrete mathematics" by Graham, Knuth and Patashnik is a must. Chapter 4 is on number theory.
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  • 783
3 votes
Accepted

Need scientific source to prove the difference between arithmetics/calculus and real mathematical skills

I think the OP asks a difficult question that will not have a succinct answer. Permit me to point to one publication, Schoenfeld, Alan H., ed. Assessing Mathematical Proficiency. Mathematical ...
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3 votes

EdX Courses for Self-Study

(In before the close!) I'd say the PDE course looks more like a traditional course than the prob/stats course. Look at the hours expected, for example (~6.5 versus ~1.5), each times 8 weeks. The ...
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  • 119
3 votes

Resources for mathematics for sustainability

Before listing 'resources', let me start with some official documents (e.g. to clarify the difference of sustainable math and math for sustainability, see xkcd:Sustainable :-). The official UN Site ...
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