Math Research Projects

This is a terrific collection of Math Research projects designed to engage middle school, high school, and undergraduate students in independent mathematical research:

http://www.york.cuny.edu/~wu/jm/

The projects cover topics like graph coloring, triangulation, nets, and voting matrices.  Each project contains background information, examples, a fundamental problem, and extensions.

Although many of the questions (and answers) may be known, the projects mostly explore areas of mathematics that are not as well-traveled as  Number Theory or Euclidean Geometry.  Students who engage with this material may very well find themselves looking at something new, or in a new way.