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 ...
- 8,856
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 ...
- 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 ...
12
votes
Educators, what resources have you built to better serve your students?
Riemann Sum visualization
Fundamental Theorem of Calculus Explanation
Error bound on integral for increasing function
"Secant Circles" and "Tangent Circles"
Some students of mine ...
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 ...
- 1,921
9
votes
Problem set recommendations for a student who has taken classes through Calc III, but has very weak fundamentals
I am sceptical whether just doing more exercises would help this student. Based on the description, they are thinking about mathematics the wrong way.
The problematic skill seems to be sense-making, ...
- 722
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 ...
- 5,589
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 ...
- 18.3k
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 ...
- 5,952
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....
- 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 ...
- 23.6k
6
votes
Educators, what resources have you built to better serve your students?
Here are some physics-related ones... many not quite as polished as they could be.
update:
webvpython / glowscript (also supported on trinket.io)
EMwave - EMwave on trinket.io - an interactive 3D ...
6
votes
Help needed to find 7th & 8th grade completed math samples
One way to go is to do this in partnership with a school or a university (or other higher education institute) that does teacher education.
Pupil workbooks are rarely published, and you might face ...
- 6,109
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 ...
- 71
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 ...
- 19.4k
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 ...
- 17.2k
5
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 ...
- 2,536
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 ...
- 3,020
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 ...
- 5,698
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:
&...
- 29k
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 ...
- 57
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 ...
- 1,163
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 ...
- 1,092
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....
- 817
4
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 ...
- 823
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 ...
- 41
4
votes
Educators, what resources have you built to better serve your students?
Desmos
Clickable Venn diagram with three sets and universe set
Unit circle
Secant lines motivating instantaneous rate of change
Tangent lines
Rolle's Theorem
Mean Value Theorem (for derivatives)
...
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....
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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