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

Continuous Reflection
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Author: Laura

Knowing a Function


Blank grids, etc.


Inverse Functions à la Emily Alman

In her blog post, My Backwards Approach to Inverse Functions, Emily Alman makes an observation that is, I think, vitally important for math teachers to understand: “One problem with algebra is that there is often a disconnect between the meaning/understanding and the computations/doing. We try our darndest to Read more…


End behavior of polynomials

Here is a PowerPoint I use when introducing end-behavior of polynomial functions. For each slide everyone raises arms or lowers arms to indicate the end-behavior of the polynomial. The left arm indicates what happens to \(y\) as \(x\rightarrow -\infty \) and the right arm indicates what Read more…


Happy pi day 2012! – Spiked Math

  Happy pi day 2012! – Spiked Math.


xkcd: Advent Calendar

via xkcd: Advent Calendar.


Trigonometric storytelling, Part 1

We’ve just had a good week-plus of precalculus lessons built around a story, inspired by Daniel Willingham’s tweet and the article by Julie DeNeen about which he tweeted. [embedit snippet=”willingham-tweet”] The tweet came at an opportune time. It was Thanksgiving break, I was away from Read more…


Hooray! I can embed a GeoGebra applet!

Starting with a tweet yesterday from John Golden (@mathhombre) How to Insert an iFrame into a WordPress Post bit.ly/OUZn3q for @geogebra, ggl docs, etc. #edtech HT @mike_geogebra — John Golden (@mathhombre) August 13, 2012 I followed a trail which (thanks to a comment from Pete Read more…