What Schools Forget
Exposing how we traded educational freedom for institutional control, one forgotten historical truth at a time.
- Indexed issues, last 90 days
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- Sep 5, 2026
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- Jul 10, 2026
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Don’t Memorize Trigonometric Identities. Visualize Them Instead. (opens the original)
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Four hours into a quantum mechanics final exam at Rice University, and I couldn’t remember.Is sin(α + β) = cos(α)cos(β) + sin(α)sin(β)? or is it sin(α)cos(β) + cos(α)sin(β)?I had memorized the angle sum identities in high school using patterns like the ones in this diagram:<a class="image-link image2" href="https://substackcdn.com/image/fetch/$s_!TWog!,f_auto,q_auto:good,fl_progressive:steep/https%3A%2F%2Fsubstack-post-media.s3.amaz
Color the First Book of Euclid. Then Stop. (opens the original)
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Three geometry teachers walk into a Greek restaurant for lunch.It’s not the beginning of a joke. It happened a couple of years ago, when two friends and I began meeting to share our experience teaching Euclid’s Elements. Ben teaches it to sixth graders, Dillon to tenth, and I teach eighth. We thought about publishing a Companion to Euclid, teacher notes on how to teach it well. Then we realized a companion has to be a companion to some particular edition. Dillon made the case for Sir Thomas Heat
Geometry Is Useless. Teach It Anyway. (opens the original)
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An accountant needs to understand division, but he doesn’t need the long division algorithm because he has a spreadsheet. An engineer needs to understand rates of change, but he rarely sits down to work a calculus problem by hand. And when will anyone need to know that triangles can be proven equal by SAS, SSS, ASA, AAS, or HL?Never.The idea that we study mathematics in order to function in the real world is absurd.People learn the most useful skills on the job through training or experience. So
The Reading List Behind Saturday's Article (opens the original)
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Saturday I argued that the people closest to a child are the ones qualified to decide what he needs. But most parents and teachers do not know the historical foundations of education well enough to argue with anyone about what is the best way forward.<img alt="" cl
The Two People a School Should Trust Most (opens the original)
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<img alt="empty classroom with desks and chalkboard" class="sizing-normal" height="2626" src="https://images.unsplash.com/photo-1580582932707-520aed937b7b?crop=entropy&cs=tinysrgb&fit=max&fm=jpg&ixid=M3wzMDAzMzh8MHwxfHNlYXJjaHwyfHxj
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