Resources for Students who love Math

Here are some resources that we recommend. Want even more? See this list!

Summer Programs

We're no longer accepting applications 2023, but below are several programs we recommend that are still inviting applications for this summer. Last updated 4/16/2023.

• Other Great Residential Programs for High Schoolers
  
  • MathILy and MathILy-Er (rolling admissions; apply by April 25 for full consideration)
  • MMSS: Michigan Math and Science Scholars (rolling admissions)
  • PZMC at Williams College (apply by April 28)
  • Maths Beyond Limits, an excellent 2-week program held annually in September in Poland (apply by May 6)
• Other Great Residential Programs for Middle Schoolers
  • CTY, grades 2–12 (rolling admissions through May 19)
• Other Great Online Programs
  • GirlsxMRO (registration will open in the spring)
  • Summer Mathematics Program for High School Students at the University of Utah (apply by June 1) – may offer an online program this year
  • PACT: Program in Algorithmic and Combinatorial Thinking (rolling admissions until full)
  • The Euler Circle will be offering classes on independent research and paper writing and mathematics of Euler; fully online. (rolling admissions until full)

Other Mathematical Resources

Online Math Classes

• AoPS Courses (low cost): excellent online math courses for high-school students, with homework and feedback from instructors.
• Stanford Online Courses (requires per-class tuition): university courses for pre-college students, self-paced and with instructor support.
• Coursera (free to audit, low-cost with financial aid available for enrollment): large open online courses, scheduled for 5-14 week sessions.
• The Online Courses Directory (free): a collection of online college courses from major universities (such as MIT), study at your own pace.
• MIT OpenCourseWare (free): materials (videos, lecture notes) from MIT courses.
• Khan Academy (free): interactive courses on various subjects, including K-12 and intro college math.

Year-Round Math Classes and Research Opportunities

• Learning Unlimited Programs: day- and weekend-long festivals of learning, much in the style of Mathcamp classes.
• Math Circles: weekly or monthly gatherings exploring cool topics in math. Find a circle near you or start your own!
• PRIMES: Research in STEM for high school students.

Problems, Problem Solving, and Math Competitions

• The Art of Problem Solving (AoPS): a problem solving website with classes and active message boards. Lots of Mathcamp students (and even staff!) post and read regularly on the AoPS message boards.
• USA Mathematical Talent Search (USAMTS): a nationwide mail-in math competition open to all US high school students.
• The Centre for Education in Mathematics and Computing (CEMC): a math outreach organization at the University of Waterloo, offering competitions and math circles.
• Problem of the Week: weekly problems of different difficulty from The Math Forum.

Interactive Web Utilities and Study Materials

• Wolfram Alpha: a computational knowledge engine, free and very powerful.
• GeoGebra: digital tool for graphing and geometry.
• Non-Euclidean Geometry: interactive software for creating constructions in Hyperbolic Geometry.
• JRMF Puzzles and Games: interactive games, puzzles and animations illustrating various mathematical concepts.
• Explorable Explanations: interactive, simple tutorials on broad subjects.
• Cut-the-Knot: interactive riddles and puzzles.
• Euclid's Elements: full text of Euclid's Elements with interactive diagrams.

Other Online Resources

• Real Not Complex: curated, free textbooks.
• The Napkin Project: giant textbook, which aims to make higher math accessible to high school students.
• 3Blue1Brown: beautiful animations alongside approachable, detailed explanations.

Collaborative Spaces by and for Research Mathematicians

(Watch research unfold!)
• Math Overflow: for mathematicians to ask and answer research-level math questions
• PolyMath: a blog and wiki for "massively collaborative mathematical research projects",
• The Open Problem Garden: a collection of unsolved problems in mathematics.