"[If] people use data and inferences they can make with the data without any concern about error bars, about heterogeneity, about noisy data, about the sampling pattern, about all the kinds of things that you have to be serious about if you’re an engineer and a statistician—then you will make lots of predictions, and there’s a good chance that you will occasionally solve some real interesting problems. But you will occasionally have some disastrously bad decisions. And you won’t know the difference a priori."
22 October 2014
12 October 2014
"In response to the lackluster high school math performance, some influential voices in American education policy have suggested simply teaching less math -- ... The subtext, of course, is that large numbers of American kids are simply not born with the ability to solve for x."
Thanks to Betsy Blake for sharing this with me!
01 September 2014
A graph is planar if it can be drawn in a plane (two dimensions, ie on a piece of paper) without graph edges crossing.
A subdivision of a graph G=(V,E) is a graph resulting from taking an edge e in E with endpoints u,v in V, introducing a new vertex w, and replacing e with two new edges, one between u,w and one between w,v.
Kuratowski's Theorem states that a graph with a finite number of vertices V and edges E is planar if and only if it does not contain a subgraph that is a subdivision of (1) the completely connected graph on five vertices or (2) the complete bipartite graph on six vertices, three in each partition.
29 July 2014
Priya was always so fun to be around; she worked so hard and embraced everything so fully. She will live on in all of us if we try to be just a little less hesitant and jump in feet first to helping the people around us.
15 April 2014
"Far better an approximate answer to the right question, which is often vague, than an exact answer to the wrong question, which can always be made precise." - John Tukey.
09 April 2014
But that's why I really liked this article that was shared with me awhile ago by my friend Brian Cobb. It's written by a programmer advocating for more math understanding. As the author says, many people (in this case, the three articles he cites) believe that "from a workaday perspective, math is essentially useless." But the fact is, so many real innovations were driven by changing mathematical models and understandings of applications for programming.
My favorite line, of course: "mathematics is a tool for understanding phenomena in the world: the motion of the planets, the patterns in data, the perception of color, or any of a myriad things in the world"... and isn't that a worthy goal?
20 March 2014
Today I read an article about women who leave economics majors starting at A- grades. I wonder what this is today for STEM majors. I also appreciated the article's comments about women considering the whole picture-- in some types of technology and business jobs, it does take longer for a woman to get to the point where you will be treated equally (in terms of position and pay) to her male counterparts. Looking at the correlation between female students' choices and her consequences on the job market-- perhaps an A- female gets treated like a B- male? That would be an interesting study to do.