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What Schools Forget

Dan Murphy
Tens of paid subscribers

Exposing how we traded educational freedom for institutional control, one forgotten historical truth at a time.

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Substack
PricingFreemiumPublishesWeekly
Issues68Foundeda year agoLast Issue3 days ago
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Latest Issues

Don’t Memorize Trigonometric Identities. Visualize Them Instead.

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...

3 days ago
1

Color the First Book of Euclid. Then Stop.

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...

7 days ago
3
2

Geometry Is Useless. Teach It Anyway.

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...

24 days ago
6

The Reading List Behind Saturday's Article

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 w...

a month ago
2

The Two People a School Should Trust Most

Photo by Ivan Aleksic on Unsplash

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K-6 grade: arithmetic. 7th grade: pre-algebra. 8th grade: algebra I. 9th grade: geometry. 10th grade: algebra II. 11th grade: pre-calculus. 12th grade: calculus.

Every school I know of has...

a month ago
10
1

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  • Dan Murphy

    Teacher exploring the history of education and teaching mathematics well.

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