PROMYS Math Circle Resources

During the spring of 2017, we presented PROMYS Math Circle students with a "Problem of the Week" (POW). From the student submissions, we chose one or more "Star(s) of the Week." Their work is featured here:

POW 1: The Magic Triangle

POW 2: Four Digit Numbers

POW 3: Trains of No Rods of 1

POW 4: The Hall of 20,000 Ceiling Lights

POW 5: Plus and Minus Sums to Zero

 

The materials below have been developed by PROMYS for Teachers in conjunction with The Park City Mathematics Institute (PCMI) High School Teacher Program. 

The Euclidean Algorithm

Gaussian Integers

Sums and Differences

Stories that Count: Combinatorics

Doing it with Differences

Developing Mathematics: Some Applications of Geometric Thinking

Probability through Algebra

Applications of Algebra & Geometry to the Craft of Teaching

Some Questions & Problems in Arithmetic

Over and Over: Iteration

Some Applications of Geometric Thinking 2

Moving Things Around: Card Shuffles, Repeating Decimals and Geometric Transformations

Probability, Randomization, and Polynomials 

Fractions, Tiling, and Geometry 

Some Applications of Geometric Thinking 3

Probability and Big Data 

 

Additional Resources:

 

Making Math - From 1999-2002, Making Mathematics matched students and teachers in grades 7-12 with professional mathematicians who mentored their work on open-ended mathematics research projects. The projects are online and each include: a project statement, prerequisites, warm-up problems, hints, resources, teaching notes, extension problems, and results.

 
Julia Robinson - The Julia Robinson Mathematics Festival has teamed with the National Museum of Mathematics to provide mathematics curricula through math circles and clubs to reach more than 1,000 students in New York, the San Francisco Bay area,
and Washington, DC. 
 
The Players Tribune - This is a list of 16 problems from John Urschel, the MIT math PhD student who also plays American football for the Baltimore Ravens. 
 
FiveThirtyEight - This is a column by Oliver Roeder. It is similar to the brilliant "Mathematical Games" column that Martin Gardner wrote for years in Scientific American.