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April 09, 2008

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David Kapolka

OK, I'm convinced! Where do I invest?

So I'm the first person to post a comment to this blog. I hope a few more folks do the same.
I appreciate your frankness, honesty, wry humor, and "spot on" opinion in your writing and presentations.
Is it time yet to write that book I know you have rattling around in your head? I know a good publisher.

MariaD

Is it a lei on your picture? Nice to see your blog, Steve!

There ARE some shortcuts out there that people discovered. Occasionally, I find it amusing to put them together in collections, such as "Multiplication Tables in Three Days" going around the Russian nets. The tricky part is to find those that work.

As for algebra, a few working "magic pills" do come to mind.
- Start at toddlerhood in qualitative, metaphoric, image-based ways (everybody knows "function machines" - there are more metaphors like that)
- Stress multiplicative reasoning early on, preferably as the kid's learning the idea of quantity at 2-5, and at least as early as additive reasoning
- Use multiple models for every notion, for example, splitting, fractals, number lines, grids and so on for multiplicative reasoning
- Don't spend much time on computational fluency till cognitive readiness (10-13yo typically, but it varies too wildly to give numbers), and then do obtain that fluency
- Study algebra in the larger math contexts of calculus, geometry and beyond
- ...
- Profit

Thank you for an interesting article, and looking forward to more!

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