Prodigies in piano or dance can study at schools like Juilliard to develop their musical or performing arts talent. By contrast, nothing like Juilliard exists for children who show great promise at math. But an ambitious experiment will soon change that: In fall 2015, a small, independent school that’s exclusively tailored for math whizzes will open in downtown San Francisco.

Designers of the new, non-profit Proof School intend to provide mathematically gifted youth an intensive and complete education in grades 6-12 that typical schools can’t muster. The pupils will learn advanced areas of math, such as number theory topics that a university math major or graduate student might tackle. They’ll work on math research projects, and engage in community service through math tutoring.

“They’re going to be involved in math in a really different way, a really exciting and dynamic way,” said Sam Vandervelde, who is leaving his math professorship at St. Lawrence University in New York to become the new school’s dean of mathematical sciences.

Proof School will initially open with roughly 45 children in three grades, with plans to grow to around 250 students in a decade. Getting in won’t be easy, but the school’s mission is to serve the needs of “math kids” in the Bay Area — ranging from high-IQ wunderkind types to students who participate in math competitions or math circles, to children who love to play with numbers. “What we want is kids who are passionate about math,” said Paul Zeitz, school co-founder and chair of mathematics at the University of San Francisco.

Roots in Math Circle Culture

The new school takes its inspiration from math circles, an Eastern European and Russian tradition that spread to the U.S. starting in the 1990s. These weekly extracurricular clubs bring youngsters together with a mathematician who guides them in exploring numerical ideas and concepts in depth. It’s often a highly interactive conversation, with the kids avidly chiming in with questions and thoughts.

For kids who live and breathe for numbers, the experience can be transformative, as Ian Brown of Marin County, Calif., can attest. In 2011, he began taking his 10-year-old son, Nico, to local math circles. Nico hadn’t been happy or thriving in his public elementary school, because “he wasn’t finding kids in his classes who understood what he was going on about when he was talking about higher mathematics,” Brown said. But math circle changed everything. “Not only did the lights go on, but the heart went on,” he said.

About a year later, Nico joined an advanced, invitation-only math circle for a half dozen students that was led by Zeitz. “Here they all are, for two hours once a week, joyful, joyful, joyful,” Brown recalled. One day in January 2013, as he watched the group animatedly discussing how many ways there are to color a cube with two colors, he turned to another student’s father, Dennis Leary, and marveled: “Look at these guys, they’re thrilled to be working together. Why don’t we do this all day long — and every day?”

Brown wanted to build a school for kids like his son “that they feel is really meant for them.” One conversation led to another and to the birth of Proof School, with him, Leary, and Zeitz as co-founders. To jumpstart it, Brown left his job as a language-arts teacher and dean at a private school for gifted and talented youth where his son, now 13, currently attends seventh grade.

While San Francisco has several high-caliber schools, including Lowell High School, it lacks specialized science schools such as Stuyvesant High School in New York City or the North Carolina School of Science and Mathematics in Durham. But Proof School won’t be like any school out there, anywhere, Zeitz said. Not only will its student body be different — they’ll all have exceptional math ability — but so will its teachers.

At a traditional school, a teacher in a top-notch math classroom might take students on the intellectual equivalent of a strenuous hike that brings them to top of the hill. But as Zeitz put it, “what they don’t realize is that they’re in this incredible mountain range, which they can’t see because their teacher doesn’t know how to get them to put on a hang glider and jump off the cliff and see the entire topography at once.” Proof School teachers will ideally have math Ph.D.s and the deep expertise to do that, he said.

As in math-circle style, the curriculum will emphasize working on and communicating about interesting math problems. Because one of Proof School’s guiding principles or “axioms” is not to waste their pupils’ time, the kids will be spared the unchallenging busy work or mind-numbing exercises that are common in standard schools, Zeitz said.

Afternoons Dedicated to Numbers

Every afternoon, students will spend two-and-a-half to three hours learning mathematical sciences, including computer science. Following an unconventional block curriculum structure, the academic year will be broken into six blocks of math instruction that each immerse the entire school in a single topic (such as problem solving or algebra) for five weeks straight. For each topic, kids will be placed into 10 to 12 different tiers by their skill level, Vandervelde said, which allows a lot of flexibility in meeting their individual needs.

“We’ll sort kids into groups based on what they’re ready for,” he said, not by age or grade. Some off-the-charts precocious students will be able to take on very advanced problems at the level of the U.S.A. Mathematical Olympiad, and “we’re going to be ready for them too,” said Vandervelde, who, like Zeitz, competed in the International Mathematical Olympiad as a teenager. “We want to develop and nurture every one of those kids and bring them along as far as they are capable of going.”

Recruiting girls to the school is a high priority, Zeitz said, noting that many young girls are enthusiastic about math but often drop out in their interest between sixth and ninth grades. “We would like to fight that trend as much as possible,” he said.

Beyond numbers, the school will offer a full education, with non-math courses in English, history, languages, and science all scheduled in the mornings in a traditional grade-level manner. Proof School’s teaching style will also draw upon blended learning methods that make use of technology in the classroom, as well as inquiry-based learning practices. Because classroom facility space will initially be limited, the founders plan to tap nearby educational resources: Students might go to the Exploratorium for hands-on science learning, to the Museum of the African Diaspora for history, and to TechShop for 21st century shop class.

Since some math kids are not exactly social butterflies when it comes to people skills, the school’s guiding axioms also make a point of teaching students how to engage with and navigate the world around them. “We will work as hard on social-emotional intelligence and communication skills — writing and public speaking — as we will on anything else,” Zeitz said.

Turning a Math Dream into Reality

Zeitz and his colleagues have much work ahead to make all the prime factors of their creative ideas, logistical plans, and hiring goals — which includes finding a charismatic humanities dean who “is able to stand up to math nerds,” he said — add up to an equation for success. They’re getting ready to launch an early admissions program and give “a day in the life” school preview this summer. Currently in fundraising mode, the founders hope to secure at least $1 million in order to keep the private tuition as low as possible and provide ample scholarships and financial aid.

To make the school accessible to math kids around the Bay Area, the campus will be located near public transit, most likely in San Francisco’s South Financial District area. The founders also plan to share their math curriculum and resources with the world in an open-source way, which will include hosting math talks and events for the public.

Many families in Silicon Valley have expressed strong interest in Proof School, but other reactions have ranged from initial skepticism to some concerns that the school will be elitist. “We’re not going to be elitist but we will be elite,” Brown said. “We’re not going to be snobby. We’re simply taking kids who operate at this [intellectual] level and putting them together with their peers, which they haven’t had in the past. And many have suffered for it.”

His own son, for example, is leaving his private middle school after this academic year because he has no math peers there, Brown said. If all goes well, after a gap year of homeschooling, the plan is to start Nico in ninth grade at Proof School in September 2015. “Oh, he can’t wait!” Brown said.

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  • ankita soni

    Wow its a unique school which help students to learn math in easy ways. Superb thing you shared here. Very helpful for all math tutor and education institutes.

  • Rich Morrow

    We have used one of the techniques that the school is planning to employ in a public school. Take all of the students available and group them in math according to what they are ready to learn regardless of when they were born. Our school has consistently been at or near the top of the state mandated tests. That technique gets the most out of both the students and the teachers.

    • Zack Goldman

      I agree that grouping people only be age doesn’t really make sense. It is great to hear that the school in this article and the school you are referring to make an effort to provide learning experiences that are exactly what particular students need at particular times!

      It is great that your school does so well on state tests. However, the math that students will be exploring at the school in the article will be WAY beyond what is required of state tests! Actually, I think that one of the coolest things about the Proof School is that it seems to be unbounded in terms of the math students will be learning. The state standards/test won’t act as a ceiling on what these students will be able to study and it sounds like they are hiring educators who are willing and able to empower students to go way beyond the basic school math curriculum!

      I’m excited to see how this school develops and continues to grow!

  • Michael Horton

    This is almost exactly what The Western Center Academy in Hemet, CA does but with a focus on science. Since we are a dependent charter school, we use a lottery for entry into our middle school. We partner with UC Riverside and MSJC college as well as The Western Science Center museum and the Diamond Valley Lake Visitor Center. We teach hands-on science labs in the afternoon such as archaeology, astronomy, Robotics, microbiology, aviation, civil engineering, and aquatic biology. We teach after school classes in computer programming, nature photography, electronics and soldering, computer engineering with the Raspberry Pi, music, and Leadership Development. We have world-renowned robotics and RC Car teams.

    • Michael Barnathan

      It sounds like an amazing program – the sort of place that students shouldn’t be shut out from by a random number generator.

  • Anon

    As a San Francisco public school parent, this school — and, perhaps even more, the lazy, biased reportage on it — makes me terribly sad. Yet another entrepreneur social experiment that rationalizes wholesale abandonment of one of democracy’s pillars–public education. Why are we normalizing and adopting the obfuscating, value-neutral vernacular of private schools (eg, “independent,” “accessible”…and my favorite, “we’re elite, not elitist!”)? Fuck that–call a spade a spade. Sure, I get frustrated with the bar-lowering, anti-smart-kid bias of urban public schools. I have a “GATE” kid myself. But there are more important things at stake than when my kid gets calculus. The immense $$$ and resources being gathered to benefit such a small, resourced group of cherry-picked students should not be lauded, even if the pedagogy and curriculum are exciting in and of themselves. My kids’ schools have some brilliant math students who will never benefit from any of this (since we an barely afford pencils).

  • Carol

    It is also called Special Ed for the socially challenged. My kid went to a normal public high school. When he got to his Ph.D program, almost everyone else went to some sort of special school. It made no difference these so called genius schools. My kid had a normal childhood and still got his doctorate.

    • Michael Barnathan

      A doctorate is just a credential. This school is trying to kindle a nascent passion for mathematics into a full-blown love for the subject – something that not even every credentialed researcher in the field has, I suspect (if going by the CS research community was any indication). Regardless of the subject, be it mathematics, music, poetry, or biology, I think we need more schools to emphasize the passion that spurs people to devote their lives to something. The students will end up happier and more fulfilled, and the product of that passion will feed back into advancing human knowledge and improving the quality of life for all of society.

      • David Corby

        “A doctorate is just a credential”

        You obviously don’t realize what it takes to get a doctorate degree.

        • Michael Barnathan

          Quite the contrary, it’s getting one that made me devalue it. I ended up apprenticed to my advisor, salami slicing his research into as many papers as possible and unable to do much of the work that interested me. And I have no reason to believe that my experience was unique.

          • Allison Stelling

            This can depend quite a bit on the adviser, and the field. Ideally, a PhD involves *getting* credentials (esp. in the sciences); and adding to the body of human knowledge. For example, I have a PhD in chemistry. I had to get certified to use a lot of the equipment (like lasers and PCR machines). Ultimately however, it was my discovery of a novel natural phenomenon that got me past my dissertation committee and the editors of JACS (the flagship journal for the American Chemical Society).

            But I do see a lot of the salami slicing in science going on these days, and PIs treating their grad students like they’re technicians. Part of this has to do with how we as a society are attempting to fund science. -Allison

    • Hugh R’Dumb

      So you’re saying that the high majority of people in your kids Ph.D program went to one of these schools, and also saying that it makes no difference? Yes, totally..

  • qqp

    Just another step in the rise of the American overclass. Wish everyone had these kind of opportunities not just the east/west coast elites.

    • David Corby

      Your comment is absurd. People with math skills are not some kind of elite overclass. Going to this sort of school just helps kids excel in mathematics as a focus. There is zero stopping you or anybody else from gaining the same kind of knowledge.

      • qqp

        Nothing stop anyone except for the effort involved. I’m not against kids learning advanced math skills. In fact, I did very well in math all the way through high school and university. I just don’t like that these kinds of opportunities are geographically limited. This is the Internet age people, if they want the best math students, why not open an online school? Starting a brick and mortar school in downtown San Francisco, seems expensive and illogical, unless the purpose is to give the children of Silicon Valley an unfair advantage over the rest of the nation. This is just an extreme example of the unjust educational system in America, where local education districts are funded mainly through property taxes. Live in a good neighbourhood, you get a good school. Live in a shitty neighbourhood, you get a shitty school. What a waste of human potential!

    • Michael Barnathan

      Math is one of the most democratic fields that exists. Anyone with a pencil and paper can start doing it (contrast with some areas of experimental physics, which require supercolliders or powerful telescopes).

      If you *seriously* want to study it, then the hoarding of talent might be a barrier, as not just anyone can learn from the “best” mathematicians in the field, but that’s been the case for centuries. There’s always a certain amount of “proving one’s worth” before gaining those types of mentors.

      • qqp

        Which is the whole problem. We don’t need to hoard information anymore. It seems like they should partner up with the Khan Academy or TED or ITunes University, so that they could deliver their lessons online. Setting up barriers for information just creates more divisions between the classes. I live in Asia and I see this kind of thing all the time, since it’s uber-competitive here in the schools. Parents trying to sneak their kids into the best schools by any means necessary. Its totally unnecessary for an education system to operate in this way. In America, the same thing happens at the University level where you have the children of the rich, gaming the system to get into the best IVY league schools. It’s sick.

    • Bridget

      They have scholarships!

      • qqp

        Who are they and what’s the purpose of the scholarships? It seems to me to be a way of maintaining a semblance of fairness. It’s like the political system in the U.S. which is sold to the highest bidder under the guise of free speech.

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  • apurva

    Math circles were some really awesome clubs. Now that you have mentioned the term – are you going to promote Math circles in classes? It would be a very good idea, considering -blended learning is there- you have the opportunity to invite people from outside to join in and share Math. Cheers for the initiative.

  • krishna

    Global Adventure has special offer for school and collage students for Nepal Adventure Trekking activities.

  • susan

    today, we have internet: mit open coursework, msri video, video lectures on youtube—special schools are irrelevant.
    all I had in elementary school was dover books–I would have sold my soul for the above.

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  • Eli

    Three cheers for Paul and his associates. What has made this country great has been the diversity of its people, their training, backgrounds, and aspirations. Thus, why not have something for those exemplary in math. In the days when the population of this country was small, logistics required lumping everyone together. With a populace able to support specialization why not. Whether it is the most ideal approach can be argued till the cows come home. Personally, I believe different people will respond differently to different approaches. So increase the smorgasbord of educational opportunities.
    -keep to it Paul and good luck. (what was that cheer- etothex, dydx, etothe dxsquared….)

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  • George DeMarse

    I’m sure glad I won’t have to go to this school. I failed high school geometry and had to take handfuls of Excedrin for the headaches in accounting.

    Now Juilliard, that’s different. That’s art and creativity. Beautiful.

    George DeMarse

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  • malcolmbellamy

    The idea behind this school worries me. Apart from the obvious elitist connotations that have been mentioned, I am concerned about so narrow a concentration on just mathematics.
    Einstein is a great example of where the Math is secondary to the creativity. I feel that too narrow a concentration on just one area leads to the blind alley of knowledge as an end result and not a tool.
    I would have been happier with a school encouraging problem-solving in all areas and showing just how powerful Math can be in facilitating so many good ideas and innovations.


Ingfei Chen

Ingfei Chen is a freelance writer in Northern California whose work has appeared in Scientific American, the New York Times and Smithsonian.

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