I have a math teacher colleague who wants to make some changes. The school is trying to tie learning to broad themes that all teachers can link to. He is stumped, and claims that there is no way to link factoring polynomials to anything in the real world. I figure that's probably our combined lack of imagination. I'm specifically looking for suggestions about how to tie it to creation myths we are studying in some other classes as part of a larger project. Any suggestions?? I am betting on some creative colleagues having lots of ideas!

Tags: creation, math, myths, polynomials

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This is Pascal's Triangle ; which is intriguing and self propagating (recursive) ... a small child can understand it. Life is also self propagating or if not then non existant.

Pascal himself did not invent the triangle but authored some wonderful polynomial connections papers. As a man Pascal was deeply interested in philosophy and religion. These themes could be connected to creation and myths.

Galois comes to mind as well; insolvabillity of the quintic by methods of radical ( a general quintic).

These themes are not directly related to factoring, but certainly related to polynomials. In my experience talking about these themes and people in the math class can help bring the humanity back to math and bring in some of the students who get tired of the numbers, theorems, examples, and proofs.

I will try to think of others.

Consider Fibonacci's numbers,
they'r defined by a(n+2) = a(n+1)+a(n).

Translate this into an equation in x:
x^2 - x -1 =0.

Factor the polynomial and discover an explicit formula for Fibonacci's numbers and an intriguing relationship between
Fibonacci and The Golden Section.

Just an idea. Not systematic, but it may be interesting.
Here's a good Fibonacci Connection.
I don't know how to link them in to creation myths etc, but here's a tutorial I created on how to factorise a cubic polynomial...

Thanks Greg, I watched it and it's a really nice explanation of how to do the factoring. I'm curious about your response when kids say "But Mr. Twitt, when am I ever going to use this?" or "Why do we have to learn this?" Your response might give me some other ideas.

Thanks again for taking time to respond, I really appreciate it!



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