WELLINGTON, Kan. — The seed of rebellion was planted in classrooms. It grew in kitchens and living rooms, in conversations between students and their parents.

It culminated when Collin Winter, 14, an eighth grader in McPherson, Kan., joined a classroom walkout in January. In the nearby town of Wellington, high schoolers staged a sit-in. Their parents organized in living rooms, at churches and in the back of machine repair shops. They showed up en masse to school board meetings. In neighborhoods with no political yard signs, homemade signs with dark red slash marks suddenly popped up.

Silicon Valley had come to small-town Kansas schools — and it was not going well.

“I want to just take my Chromebook back and tell them I’m not doing it anymore,” said Kallee Forslund, 16, a 10th grader in Wellington.

Eight months earlier, public schools near Wichita had rolled out a web-based platform and curriculum from Summit Learning. The Silicon Valley-based program promotes an educational approach called “personalized learning,” which uses online tools to customize education. The platform that Summit provides was developed by Facebook engineers. It is funded by Mark Zuckerberg, Facebook’s chief executive, and his wife, Priscilla Chan, a pediatrician.