"If others would but reflect on mathematical truths as deeply and as continuously as I have, they would make my discoveries." - Carl Friedrich Gauss
March 19, 2015
Over the past few years of teaching precalculus regularly, I’ve experimented with all kinds of ways of moving from polynomial to rational functions, trying to find a way to help students discover and consequently really understand how the equation of a rational function determines its graph. I Read more…
Over the past few years of teaching precalculus regularly, I’ve experimented with all kinds of ways of moving from polynomial to rational functions, trying to find a way to help students discover and consequently really understand how the equation of a rational function determines its graph. I Read more…
I’ve experimented over the years with all kinds of ways of moving from polynomial to rational functions, trying to find a way to help students discover how the equation of a rational function determines its graph, and have never felt very successful, in that it Read more…
In precalculus class recently we were investigating the asymptotes of rational functions using this GeoGebraTube construction. It was over a month ago now, and I don’t remember exactly how things went, but I know we started with the default function in the construction, where the degree of the numerator Read more…
In precalculus class recently we were investigating the asymptotes of rational functions. We started by considering the graphs a few rational functions where the degree of the numerator and denominator were the same, and students were beginnning