Participants were selected through a series of competitions organized by the Mathematical Association of America (MAA), culminating with the USA Mathematical Olympiad. The six team members joined 48 of their peers at Carnegie Mellon University (CMU) in June for three weeks of immersion in problem solving at MAA’s Mathematical Olympiad Summer Program (MOSP). Established in 1974 to train the first U.S. team to the IMO, MOSP has expanded over the years and broadened its goals.
Perhaps, someday our politicians, billionaire philanthropists, edu-reformers, and the media will seek to promote academic competition as a way of elevating the stature of education in this country. For a country obsessed with media coverage exposing weaknesses of American schools, there is almost no media coverage of the incredible successes our students achieve. Imagine if young students were offered and encouraged to pursue scholarship opportunities in competitive math or science or speech/debate. Wouldn't it be incredible progress to promote media coverage of academic college signings as much as athletic. Nearly all the mathletes will use their skills professionally - almost no athletes will.
Just one more example of how in America we are ignoring our best and brightest.
Let P = A1 A2 … Ak be a convex polygon on the plane. The vertices A1, A2, …, Ak have integral coordinates and lie on a circle. Let S be the area of P. An odd positive integer nis given such that the squares of the side lengths of P are integers divisible by n. Prove that 2S is an integer divisible by n.