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PROMYS moves beyond the high school curriculum by offering students the opportunity to participate in the process of scientific research. The problems encourage students to design their own numerical experiments and to employ their own powers of observation to discover mathematical patterns, formulate and test conjectures, and justify their ideas by devising their own mathematical proofs. These activities, done with support from PROMYS faculty and counselors and in collaboration with other students, help refine the skills of conjecture, proof, analysis, and research.
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