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 ...
Nick C's user avatar
  • 9,406
16 votes

What are some "deep" questions to explore in elementary school math?

Here is a game I stole from Marty Weissman: You start at zero on the number line. You are allowed "hop" forward or backwards by $6$ and "jump" forwards or backwards by $10$. Which ...
Steven Gubkin's user avatar
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 ...
Milo P's user avatar
  • 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 ...
11 votes
Accepted

Resources for designing math degree programs

For undergrad, the MAA put out "Guidelines for Programs and Departments in Undergraduate Mathematical Sciences" about 20 years ago. We used this when preparing for program review about a ...
Aeryk's user avatar
  • 8,025
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 ...
Nate Bade's user avatar
  • 1,941
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, ...
Arno's user avatar
  • 871
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 ...
Matthew Daly's user avatar
  • 5,609
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 ...
Benjamin Dickman's user avatar
8 votes

What are some "deep" questions to explore in elementary school math?

Following up on David Raveh's comment, geometric manipulatives would offer a wealth of interesting questions. (1) Polydrons. (2) Snap / Linking cubes. (3) Tangram puzzles
Joseph O'Rourke's user avatar
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 ...
kcrisman's user avatar
  • 5,980
7 votes

What are some "deep" questions to explore in elementary school math?

As a child I was fascinated with numbers. As part of our fourth-grade curriculum we were familiarized with conversion to and from, as well as performing basic arithmetic in, different bases. I ...
njuffa's user avatar
  • 321
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....
Huy's user avatar
  • 699
6 votes

What are some resources for "ungrading" in a math class?

David Clark and Robert Talbert have taken a lead experimenting with ungrading in their mathematics classes, and have started a substack, Grading for Growth, for folks to write their reflections and ...
Mike Pierce's user avatar
  • 4,777
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 ...
Daniel R. Collins's user avatar
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 ...
Tommi's user avatar
  • 7,039
6 votes

What are some "deep" questions to explore in elementary school math?

When I was around this age (I dont remember exactly when, but I could read but only slowly) my parents introduced me to a book "What Is the Name of This Book?" by Raymond M. Smullyan. It is ...
BagiM's user avatar
  • 161
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 ...
John Mould's user avatar
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 ...
Sue VanHattum's user avatar
  • 20.3k
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 ...
mweiss's user avatar
  • 17.3k
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 ...
user21820's user avatar
  • 2,561
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 ...
Mark Fantini's user avatar
  • 3,040
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 ...
Dave L Renfro's user avatar
5 votes

What are some "deep" questions to explore in elementary school math?

Matte-LIST is one resource we suggest to our students. In Norwegian. https://www.mattelist.no/ I think some of the tasks there are from Youcubed, but I have not looked deeper into it. In English. ...
Tommi's user avatar
  • 7,039
5 votes

What are some "deep" questions to explore in elementary school math?

NRICH has a lot of resources. I usually go through adding 1 to the number in the URL until I find an interesting-looking problem, like Geoboards or Cereal Packets. Here's an extract from the end of ...
wizzwizz4's user avatar
  • 231
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:               &...
Joseph O'Rourke's user avatar
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 ...
guest's user avatar
  • 57

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