Mar 192015
 
Fresh eyes on end behavior of rational functions

Over the past few years of teaching precalculus regularly, I've experimented with a variety of approaches to rational functions in an attempt to find one that will result in students discovering and eventually truly understanding how the equation of a rational function determines its graph. I have never felt very successful. Too many students get confused somewhere along the way, come to [...]

Inverse Functions à la Emily Alman

 Posted by on January 26, 2013  No Responses »
Jan 262013
 
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 bridge the gap between the two, but I find that [...]

End behavior of polynomials

 Posted by on January 26, 2013  No Responses »
Jan 262013
 

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 as and the right arm indicates what happens to as . view full post »