Resources for the standard math curriculum up to calculus and linear algebra:
- Khan Academy has broadly accessible materials for learning or teaching elements of the set {arithmetic, pre-algebra, algebra 1-2, geometry, precalculus, calculus, multivariable calculus, statistics, linear algebra}. They offer free online video courses.
- The Art of Problem Solving (AoPS) is intended to be more challenging, and covers {pre-algebra, algebra, geometry, counting and probability, number theory, precalculus, calculus} as well as contest math. They offer books, online courses, and in-person classes in a few locations.
In-person math enrichment programs for K12 students:
- Math Circles are typically aimed at middle or high school students. They usually meet weekly, or every few weeks.
- The Julia Robinson Math Festival provides fun math lessons for students of various ages. It is held annually. Lesson plans are available for free on the website.
- The AMS has a list of math summer programs.
- The Russian School of Mathematics is similar to AoPS and has both online and in-person classes.
Resources for recreational math (puzzles, etc.):
- Martin Gardner wrote lots of well-loved puzzle books.
- The MAA has a page on Recreational Mathematics with a long list of articles and book reviews.
Resources for proof-based math:
- How to Write Proofs: A Quick Guide is concise, whimsical, and beginner-friendly.
- Jeremy Kun's Primers are suitable for quantitatively inclined people who want to learn more about topics in theoretical math, without taking an entire course on them.
For a more comprehensive list, please check out Sarah's Stockpile of Math Enrichment Resources.
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