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| AMC 12 | |
|---|---|
| Name | AMC 12 |
| Genre | Mathematics competition |
| Founded | 1950s |
| Organizer | Mathematical Association of America |
| Region | United States, Canada, international schools |
| Frequency | Annual |
AMC 12
The AMC 12 is a North American high school mathematics competition administered annually by the Mathematical Association of America and administered in coordination with organizations such as the American Mathematics Competitions program and the Student Information Processing Board. It serves as a qualifying step toward the American Invitational Mathematics Examination and the United States of America Mathematical Olympiad pipelines that involve institutions like Art of Problem Solving and competitions such as the AIME and USAMO. Top performers are often recognized by universities such as Harvard University, Princeton University, and Massachusetts Institute of Technology and go on to participate in programs like the International Mathematical Olympiad and training camps organized by the Mathematical Olympiad Program.
The contest is designed and administered by the Mathematical Association of America with support from regional affiliates and national partners including the American Mathematical Competitions committee and state organizations like the California Math Council and the New York State Mathematics League. Historically, the contest has connections with mathematical enrichment organizations such as MathCounts, the Mathematics Outreach Program at various universities, and summer programs like the PROMYS and RSI that groom talented students toward competitions including the IMO. Sponsorship and endorsement come from educational institutions such as Stanford University, University of California, Berkeley, and non-profits like the American Mathematical Society.
Eligibility typically covers students enrolled in high school grades under guidelines similar to those of the International Mathematical Olympiad feeder systems and national contest rules upheld by the Mathematical Association of America and partner organizations like the Educational Testing Service. The contest is offered in multiple forms and formats influenced by standardized testing practices exemplified by entities such as the College Board and the Educational Testing Service; it is proctored in-school or at designated centers affiliated with organizations like the National Science Foundation and regional math leagues. The standard administration comprises multiple-choice questions with time limits influenced by precedents set by competitions like the AMC 10 and regional contests run by groups such as the Mathematics Teachers' Association of New York State.
The syllabus emphasizes problem-solving in topics historically central to contest mathematics, drawing on curricula and texts referenced by institutions such as Princeton University Press and authors associated with contest training like those from Art of Problem Solving and Cambridge University Press. Question topics overlap with concepts found in classical sources associated with the KöMaL and national olympiad literature, and include algebraic manipulation seen in problems related to the Putnam Competition, combinatorial reasoning akin to puzzles from the Tournament of Towns, number theory examples reminiscent of Euler-type problems, and elementary geometry paralleling material in Euclid's tradition. Preparatory curricula often cite problem collections published by the Mathematical Association of America and training modules used by academic programs at institutions like Rutgers University and University of Chicago.
Scoring protocols align with the conventions used by competitions in the IMO pipeline, with cutoffs determining advancement to stages administered by bodies such as the American Invitational Mathematics Examination organizers and selection committees of the United States of America Mathematical Olympiad. Awards include recognition by the Mathematical Association of America and certificates that are often noted by scholarship programs at universities such as Yale University, Columbia University, and University of Pennsylvania. Top scorers may receive invitations to summer programs sponsored by organizations like Carnegie Mellon University's mathematics outreach, and selection for national teams involves coordination with entities such as the United States of America Mathematical Olympiad selection process and training camps run by the Mathematical Olympiad Program.
Coaching and resources commonly used include problem sets and textbooks from publishers such as Cambridge University Press, training materials from Art of Problem Solving, and archival problems maintained by the Mathematical Association of America. Many students prepare through online communities and platforms associated with institutions like Brilliant (company), forums that reference problem archives from universities such as MIT, and summer programs at Princeton University and Duke University. Regional training often leverages curricula from state mathematics organizations like the Texas Mathworks and enrichment offered by museums and centers including the Museum of Mathematics.
Over decades, high scorers have gone on to prominence in academia and industry, with alumni attending institutions such as Harvard University, Stanford University, MIT, Princeton University, Caltech, Yale University, Columbia University, University of Chicago, Oxford University, and Cambridge University. Notable participants historically advanced into fields and institutions such as the Institute for Advanced Study, the National Academy of Sciences, and companies including Google, Microsoft, and Goldman Sachs. Many have contributed to publications like the Annals of Mathematics and held positions at departments across universities such as University of California, Berkeley and Carnegie Mellon University. The contest's role in the development of talent has parallels with long-standing competitions like the Putnam Competition and international contests such as the International Mathematical Olympiad.
Category:Mathematics competitions