Continuous Reflection

"If others would but reflect on mathematical truths as deeply and as continuously as I have, they would make my discoveries." - Carl Friedrich Gauss

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Making Sense of Exponential Models

Exponential growth is one of those places in the high school math curriculum where there is rich opportunity to intertwine ideas from “pure” and “applied” math in ways which don’t feel contrived and which truly deepen student understanding of the power of abstraction. It is one of the high-school level “pure math” ideas that Read more…


Making Sense of Exponential Models

Exponential growth is one of those places in the high school math curriculum where there is a wealth of ways to intertwine ideas from “pure” and “applied” math which don’t feel contrived and which truly deepen student understanding of the power of abstraction. It is one of the high-school level “pure math” ideas that Read more…


Making Sense of Exponential Models

Exponential growth is one of those places in the high school math curriculum where there is a wealth of ways to intertwine ideas from “pure” and “applied” math which don’t feel contrived and which truly deepen student understanding of the power of abstraction. It is one of the high-school level “pure math” ideas that Read more…


Making Sense of Exponential Models

Exponential growth is one of those places in the high school math curriculum where there are a wealth of ways to intertwine ideas from “pure” and “applied” math which don’t feel contrived and which truly deepen student understanding of the power of abstraction. It is one of the high-school level “pure math” ideas Read more…


Making Sense of Exponential Models

Exponential growth is one of those places in the high school math curriculum where there are a wealth of ways to intertwine ideas from “pure” and “applied” math which don’t feel contrived and which truly deepen student understanding of the power of abstraction. It is one of the high-school level “pure math” ideas Read more…


Making Sense of Exponential Models

Exponential growth is one of those places in the high school math curriculum where there are a wealth of ways to intertwine ideas from “pure” and “applied” math which don’t feel contrived and which truly deepen student understanding of the power of abstraction.  Exponential growth is one of the few high-school level “pure math” Read more…


Making Sense of Exponential Models

Here is a set of questions I have found useful to pose to my precalculus students early in our consideration of exponential functions: Graph the following pairs of equations. You should see a clear relationship between the graphs in each pair. Try to articulate an algebraic Read more…


Forms of Exponential Models v2

Forms of Exponential Models v2