Posted by: Gary Ernest Davis on: January 13, 2012

Ben Vitale (@BenVitale on Twitter) recently made the elementary and lovely observation that x Some people asked why this is so, and the answer, simple as it is, makes a nice middle or high school problem First let’s think about what’s happening here. The numerators of these fractions are sums of the first few odd […]

Posted by: Gary Ernest Davis on: August 16, 2011

On the last Twitter #mathchat there seemed to me to be a fair amount of confusion about what constitutes a fraction. Commonly, people were treating any expression of the form as a fraction, no matter what were . Confusion about fractions is something I’ve experienced in many places, in many contexts. The confusion seems to […]