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Timeline for Specializing early

Current License: CC BY-SA 2.5

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Jul 6, 2012 at 2:13 comment added C.S. @Akhil: Dear Akhil there is a typo in your statement "; I recall that one of them did not $\text{now}$ linear algebra"
Aug 13, 2010 at 22:08 comment added dvitek @Qiaochu @Akhil I too participated in RSI (I think in the year between you two) and "completed" a math project - I say "completed" here because I worked purely in graph theory at RSI, but later found it much easier to extend my results if I started developing them from a topological and group-theoretic standpoint. That being said, I reversed a lot of other things, such as the RSI-Siemens road - I did well at Siemens before doing RSI. Another good thing for my understanding of how much math was out there beyond what I knew happened at RSI - I met Eric Larson.
Mar 2, 2010 at 23:11 comment added Akhil Mathew @Qiaochu: I never went to a summer math program before RSI (probably a mistake on my part), but I at least can say that the RSI program made me acutely realize how distantly the peaks of Mount Bourbaki lay from my accumulated knowledge, and how much more climbing awaited me in college.
Mar 2, 2010 at 4:00 comment added Qiaochu Yuan Mathcamp, RSI, and PROMYS (of which I have experience with the latter two) all share the property that Pete mentions - they are an enrichment experience to be taken in addition to the standard curriculum. While I'm on the subject, I have to bring up an issue with this paradigm: because much of the "subtopic-oriented" material at Mathcamp and PROMYS is taught very quickly by counselors, students sometimes confuse exposure to material with mastery, and may enter college feeling that they know more about e.g. elementary group theory than they actually do.
Mar 1, 2010 at 6:09 vote accept Thomas Sauvaget
Feb 27, 2010 at 17:57 comment added Douglas Zare I participated in the PROMYS program as a student in its first two years, and think it was great. There was no research component, and presenting a motivated, rigorous college course in number theory to high school students is reasonable whether or not the students want to study number theory or even mathematics later.
Feb 27, 2010 at 17:14 comment added Pete L. Clark Certainly the RSI program is very successful, and it seems like a good idea for there to be more programs like it. However, this is a key point -- RSI is a summer program which excellent, enthusiastic students take in addition to their normal coursework. These students aren't missing out on any of the standard, non-specialized coursework by participating in the program. So there is no tradeoff here, as the OP is suggesting.
Feb 27, 2010 at 13:26 comment added Charles Siegel Not quite as research oriented, but still something for high schoolers: Math Camp mathcamp.org
Feb 27, 2010 at 13:09 history answered Akhil Mathew CC BY-SA 2.5