
Mathematics for KidsPuzzles, Problems, Mazes and ActivitiesProfessor William J. Martin and helpers


IMPORTANT: No, never mind. Nothing here is really important. It's just fun.
We have a lot of fun with mathematics. So why not collect the fun stuff in one place?
At WPI, math is everywhere. There are summer camps each year. These wonderful experiences  Frontiers/Strive and Camp Reach are run by the Morgan Learning Center and its director Dr. Chrysanthe Demetry. WPI's PreCollegiate Outreach Office is run by Dr. Martha Cyr and offers an exciting suite of programs for kids.
The Department of Mathematical Sciences offers a graduate program aimed at teachers called the Mathematics for Educators Masters degree (MME). But the department also offers an annual event for high school kids. The WPI Invitational Mathematics Meet competition occurs midOctober of each year.
The icosahedron can be built from three Golden Rectangles (one in each of the xy, xz, and yzplanes) whose edges form a famous shape in knot theory called the Borromean rings.
What this page offers
This Page is Not Part of Any of the Above. This page is Bill Martin's page for teenagers who like math. (Well, I hope it will also catch the interest of some kids who are not sure whether they like math.) The views represented here are my own; they do not reflect the views of WPI, my employer.
Here are the materials available so far on this page:
 March 2020: Many resources are popping up for teachers and parents during the COVID19 pandemic. If you have a facebook account, consider looking at the group "Jo Boaler's How to Learn Math" for many ideas
 Arithmetic mazes, printable from this Excel spreadsheet
 The same arithmetic mazes in PDF format
 A worksheet on fraction wheels, calculators and rational numbers
 Protractor project: how are airport runway numbers determined? I bet you can figure it out just by looking at Google Maps.
 Square Roots and the Rabin Cryptosystem
 Why do we reduce fractions? Why do we reduce matrices? Can we reduce graphs?? Can we reduce knots??? Here's a worksheet on canonical forms in mathematics.
 Some math puzzles with no answers given.
Play (Other content from the web and news sites)
 Snowflakes are amazing for their symmetry and also for their physics. How is it that the 104.5 degree angle between the bonds in the molecule engender the formation of hexagonal crystals? What angles are occurring and what is going on in the third dimension?
We often have young kids explore the hexagonal symmetry by folding paper and making idealized snowflakes. It might be an interesting science project to instead show them photographs of real snowflakes and see how the kids can copy these shapes.
How much comes from symmetry? How much snipping with scissors must be done after the paper is unfolded? And what factors might cause a snowflake to lose its symmetry at these finer levels? What angles appear along the "spokes" of the snowflake? Are they all multiples of 60 degrees?
 I am just starting to collect some material on bubbles!
 NASA's Space Math III resource includes prepackaged lessons for teachers in Grades 912, such as this: Correcting Bad Data Using Parity Bits
 The National Museum of Mathematics in New York City offers some great online activities
 22 Amazing Math Tools That Everyone Should Know But Only Very Few Know
 Bijections have been used in society for 5 to 10 thousand years. BBC article on Mesopotamian cuneiform
 Coloring multiplication tables according to multiples of various numbers
 Trying to solve a bigger math problem, New York Times, Feb. 3, 2017
 Exploring the primes with kids: Goldbach's Comet The famous unsolved Goldbach Conjecture in mathematics asserts that every even integer larger than two may be expressed as a sum of two primes. Test it out!
 You're not actually bad at math by Chase Felker, at Slate
Image from INSIDER
Summers Links to some great summer programs for high school students who want to explore mathematics:
Parents and Teachers While there is no clear distinction between the above lists of links and this one, the following items are aimed at mathlovers who want to coordinate activities for kids.
 HCSSiM, the Hampshire College Summer Studies in Mathematics
 MathiLy at Bryn Mawr College in Pennsylvania
 PROMYS, the Program in Mathematics for Young Scientists, at Boston University
 ACME Klein bottle not only offers some precious gifts to purchase for families, friends and teachers, but also offers a very entertaining web page. (Sorry that my text is not nearly as clever.)
 This is MEGAMathematics!, a rather old but inspiring guide book (134 pages) on mathematics and how to engage children in activities related to math and theoretical computer science. I have used ideas from this book in local elementary schools.