"A picture formed in my mind of an invisible, ethereal, wormhole-style thread binding the two curves. How could we represent the functions so that the "intersection" would be visible?"
This post documents my post-class exploration of that issue.
Showing posts with label equations. Show all posts
Showing posts with label equations. Show all posts
Tuesday, July 2, 2013
What it Means to Solve (Again): Finding Wormholes
In two previous posts, I have explored what it means to solve linear inequalities and what it means to solve quadratic equations. The latter post describes a classroom moment in which my students and I contemplate what it means to find and visualize the (complex) solutions of a quadratic equation that has no real solutions. I wrote:
"A picture formed in my mind of an invisible, ethereal, wormhole-style thread binding the two curves. How could we represent the functions so that the "intersection" would be visible?"
This post documents my post-class exploration of that issue.
"A picture formed in my mind of an invisible, ethereal, wormhole-style thread binding the two curves. How could we represent the functions so that the "intersection" would be visible?"
This post documents my post-class exploration of that issue.
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