In Austin, Texas, where the titans of technology have moved their companies and built mansions, some of their children are also subjects of a new innovation: schooling through artificial intelligence.

And with ambitious expansion plans in the works, a pricey private A.I. school in Austin, called Alpha School, will be replicating itself across the country this fall.

Supporters of Alpha School believe an A.I.-forward approach helps tailor an education to a student’s skills and interests. MacKenzie Price, a podcaster and influencer who co-founded Alpha, has called classrooms “the next global battlefield.”

“I’ve seen the future,” she wrote on social media, “and it isn’t 10 years away. It’s here, right now.”

To detractors, Ms. Price’s “2 Hour Learning” model and Alpha School are just the latest in a long line of computerized fads that plunk children in front of screens and deny them crucial socialization skills while suppressing their ability to think critically.

“Students and our country need to be in relationship with other human beings,” said Randi Weingarten, the president of the American Federation of Teachers, a teachers’ union. “When you have a school that is strictly A.I., it is violating that core precept of the human endeavor and of education.”