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Child prodigy Adora Svitak says the world needs "childish" thinking: bold ideas, wild creativity and especially optimism. Kids' big dreams deserve high expectations, she says, starting with grownups' willingness to learn from children as much as to teach.

Bored in school, failing classes, at odds with peers: This child might be an entrepreneur, says Cameron Herold. At TEDxEdmonton, he makes the case for parenting and education that helps would-be entrepreneurs flourish -- as kids and as adults.

Kiran Bir Sethi shows how her groundbreaking Riverside School in India teaches kids life's most valuable lesson: "I can." Watch her students take local issues into their own hands, lead other young people, even educate their parents.

Today's math curriculum is teaching students to expect -- and excel at -- paint-by-numbers classwork, robbing kids of a skill more important than solving problems: formulating them. At TEDxNYED, Dan Meyer shows classroom-tested math exercises that prompt students to stop and think.

Temple Grandin, diagnosed with autism as a child, talks about how her mind works -- sharing her ability to "think in pictures," which helps her solve problems that neurotypical brains might miss. She makes the case that the world needs people on the autism spectrum: visual thinkers, pattern thinkers, verbal thinkers, and all kinds of smart geeky kids.

In this poignant, funny follow-up to his fabled 2006 talk, Sir Ken Robinson makes the case for a radical shift from standardized schools to personalized learning -- creating conditions where kids' natural talents can flourish.

Most 12-year-olds love playing videogames -- Thomas Suarez taught himself how to create them. After developing iPhone apps like "Bustin Jeiber," a whack-a-mole game, he is now using his skills to help other kids become developers. Thomas Suarez, a 12 year old, taught himself to build iphone apps.

"If I should have a daughter, instead of Mom, she's gonna call me Point B ... " began spoken word poet Sarah Kay, in a talk that inspired two standing ovations at TED2011. She tells the story of her metamorphosis -- from a wide-eyed teenager soaking in verse at New York's Bowery Poetry Club to a teacher connecting kids with the power of self-expression through Project V.O.I.C.E. -- and gives two breathtaking performances of "B" and "Hiroshima."

Charles Leadbeater went looking for radical new forms of education -- and found them in the slums of Rio and Kibera, where some of the world's poorest kids are finding transformative new ways to learn. And this informal, disruptive new kind of school, he says, is what all schools need to become.