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:
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.