Americans' satisfaction with K-12 education has fallen to its lowest point in Gallup's 27-year trend, new polling finds.

• Only 32% of Americans are "completely" or "somewhat" satisfied with K-12 education.
• That's down 11 percentage points over the last two years alone.

🫏 Between the lines: Democrats are driving much of the recent plunge, with their satisfaction falling 19 percentage points since 2024.

• Yet a greater share (35%) still report being at least somewhat satisfied compared to Republicans (25%).

Gallup says: "Republicans and independents are most likely to cite what they perceive as a lack of teaching basic skills."

• "Roughly equal shares of dissatisfied Democrats mention a lack of teaching basic skills, lack of funding or resources, and poor quality of education or inferiority compared with other countries."

👩‍🏫 The intrigue: Parents of K-12 students are about twice as likely to say that they're satisfied with their own child's education (66%) as they are with K-12 education nationally (32%).

How it works: The results are based on an Aug. 3–24 Walton Family Foundation/Gallup telephone poll of 1,200 adults, plus an Aug. 3–17 online survey of 2,143 adults.

• Explore the findings.

OpenAI says it has solved the Navier–Stokes Millennium Prize problem, Axios' Madison Mills reports.

• It's a potentially historic mathematical breakthrough — yet shadowed by questions over unpublished research by outside mathematicians.

🧊 OpenAI said today that an internal AI model produced a proof that the three-dimensional Navier–Stokes equations can develop a singularity in finite time. (Learn more.)

• Execs said they devoted enormous computing power to the effort, putting the costs in the "millions of dollars."

Friction point: NYU mathematician Tristan Buckmaster — who has been working with Anthropic researcher Levent Alpöge on closely related fluid-dynamics research — has questioned whether OpenAI raced down a research direction it learned about from their work. He raised concerns about whether private Codex material could have played a role.

• OpenAI says that neither its researchers nor its agents saw any of the pair's work before they released it publicly.

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Sixty years ago today, "Star Trek" debuted in the U.S., launching a beloved and persistently relevant sci-fi franchise, superfan Alex Fitzpatrick writes.

• Trek's optimistic view of the future — with co-ed, multiracial, multi-species crews working together to explore strange, new worlds — still resonates today as we grapple with racism, inclusivity, equity and more.

📺 A recent explosion of "New Trek" TV shows brought a fresh generation of fans into the Starfleet fold, despite mixed reviews from some corners.

• Yet the franchise is stuck in unknown space amid owner Paramount's proposed merger with Warner Bros. Discovery.

No shows are currently in development or production for the first time in over a decade — though a movie is in the works.

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