The Drag of Weak Foundations

(Note: This is an AI-assisted teaser for my prior manual writing. If you like it and want to read more details about this topic/perspective, then check out my 100% manually-written blog and books!)

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Two students can be working on the same algebra problem, but one of them is being dragged down by extra weight.

They’re recomputing their multiplication facts.
They’re wrestling with fractions.
They’re second-guessing their negative signs every step of the way because they didn’t really master any of this stuff. They’re not fully automatic on it.

It’s like swimming with jeans on.
Yeah, they can still move forward.
But the extra drag makes them much slower, much more error-prone, and quicker to fatigue and lose focus – because they had to devote all their attention to some sub-skill that should have been automatic.

The solution is not to make the algebra easier, or to ask them to swim a shorter distance.
It’s to remove the extra weight by having them train their foundational skills until they’re really automatic.

Here's the 100% manually-written long-form that this teaser is distilled from, if you want to dive deeper: If You Want to Learn Algebra, You Need to Have Automaticity on Basic Arithmetic .

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