Can't comment on all the critiques here, but thank you for them, especially those intended to be constructive--the board of directors and advisory board members will consider some of points made here. If you haven't already, I encourage you to check out who's supporting Proof School. We are fortunate to have their backing and advice.
First, to user interface... the pitch deck format of the current website is meant more as a landing page to pique curiosity and to solicit interest--it will change to a more familiar UX soon. Apologies if it's slow or glitchy--we're working on it. Go easy, guys!
Let me tell you a little more about Proof School, opening to students in 2015. The mission of the school is to attract students who self-identify as "math kids"--it will not be easy to get in. We're looking for kids who may not see their peers except at summer math camps or at math circles, Julia Robinson Math Festivals, or math and CS events/contests at universities, MSRI and AIM during the school year, kids whose friends (some, at least) will wish they could go to Proof School, too, because the name says it all and they get it, kids who at 11, 12, 13, 14 are doing college and graduate level mathematics... and want to do it with kids and adults like them all year round, not just once in a while. These math kids are out there, and the response from them, their parents and other adult "math kids" who wish they'd had a Proof School when they were growing up is, frankly, massive. Here's our mission statement: PROOF SCHOOL WILL OFFER AN UNRIVALED EDUCATION TO YOUNG PEOPLE WHO EXCEL AT AND HAVE A PASSION FOR MATHEMATICS WHILE EQUIPPING THEM WITH KNOWLEDGE, SKILLS AND CHARACTER FOR SUCCESS IN LIFE.
Proof School will be elite but not elitist; no one who qualifies will be turned away because of financial need. It can also not only be about math: we will be offering a complete, UC A-G accredited curriculum, plus an explicit social/emotional learning (SEL) and mindfulness program, and partnering with some of the finest educational and cultural programs the Bay Area has to offer so that we educate the whole child. Math and CS will in some ways be the easy part, with teachers, professors, visiting instructors and peers teaching and learning from each other all in the mix. By contrast, we've identified the need to recruit the best teachers and academic leaders in the arts, hard sciences and humanities as our most pressing need going forward.
What more can I tell you... We're launching a "Math Community Hub" in downtown SF in 2014 to get us in synch with academic and admissions calendars, pulling together all people interested in math at all levels. There's lots more, but I won't be able to respond to more comments here on HN (I've got a school to build!). If you'd like to add your great ideas to our efforts, please send me an email at ibrown[at]proofschool.org. Also, please have a look at William Thurston's paper "On Proofs and Progress in Mathematics" here--just great: http://arxiv.org/pdf/math/9404236v1.pdf