"Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality." - Richard Courant

Resources

This is an ever-growing list of math resources for topical clarification. Please use the email button at the bottom of the page to send over any suggestions you might have!

Math competitions
MATHCOUNTS math competitions
AMC/AIME – math competitions targeting grades 8, 10, 12
American Scholastic Mathematics Association – for grades 7-12
The Archimedean Challenge (Euclid Lab)
Continental Mathematics League
K-12 Game-a-thon Challenge – MIND Institute
Math Olympiads for Elementary and Middle Schools
Noetic Learning Math Contest (NLMC)
Perennial Math (grades 3-8)
Mathnasium Trimathlon

All-around useful sites
Khan Academy – Math
Interactive Math – learn by playing with it!

Elementary
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Algebra
Algebra Help – Explanations, practice problems, etc.
Solving Quadratic Equations

Geometry/Trigonometry

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Calculus
Wolfram Mathematica Online Integrator

Math fun videos
Finite Simple Group (of Two)
Calculus Rhapsody (Queen parody)
I Integrate By Parts (Total Eclipse of the Heart Parody)

Scholarships
NSF Scholarships in Science, Technology, Engineering and Mathematics
MATHCOUNTS Alumni Scholarship
Mu Alpha Theta math scholarships
Department of Defense SMART (Science, Mathematics & Research for Transformation) Scholarship
American Physical Society Scholarships
Scholarships – the Actuarial Foundation
Girl Scouts Scholarships for Women Interested in STEM
Society of Women Engineers Scholarships
American Statistical Association – Awards & Scholarships
Edward C. Bryant Scholarship in Survey Statistics
Math for America Fellowships for Math and Science Teachers
Xerox Minority Scholarships