Ways of Being "Good at Math"

It’s a common misconception that someone who’s good at math is someone who can compute quickly and accurately. But mathematics is a broad discipline, and there are many ways to be smart in math. Some students are good at seeing relationships among numbers, quantities, or objects. Others may be creative problem solvers, able to come up with nonroutine ways to approach an unfamiliar problem. Still others may be good at visually representing relationships or problems or translating from one ...

 The Laffer Curve

The horizontal axis here is level of taxation, and the vertical axis represents the amount of revenue the government takes in from taxpayers. On the left edge of the graph, the tax rate is 0%; in that case, by definition, the government gets no tax revenue. On the right, the tax rate is 100%; whatever income you have, whether from a business you run or a salary you’re paid, goes straight into Uncle Sam’s bag. Which is empty. Because if the government vacuums up every cent of the wage you...

 Number

Number is a rich, many-sided domain whose simplest forms are compre- hended by very young children and whose far reaches are still being explored by mathematicians. Proficiency with numbers and numerical operations is an important foundation for further education in mathematics and in fields that use mathematics. Because much of this report attends to the learning and teaching of number, it is important to emphasize that our perspective is considerably broader than just computation. First, nu...

 Programmers Get Better with Age

This kind of data is hard to come by, but thanks to almighty Stackoverflow ands their wise decision (thanks Joel), to make this data publicly available we can mine this data to our collective benefit. With a simple bash script to download the data, a small Java program to extract the stats and Google Docs to make the graphs, I was able to produce some interesting stats. I pulled in data of about 70.000 developers whose Stackoverflow reputation is over 100. On average 53% of them have their ...

 Compactness in Linked Hypertext

Global metrics look at extracting information about the graph as a whole. Compactness is a measure of how connected the graph is; a compact graph means that, in general, it is easy to reach a randomlychosen node from another. The usual measure has a range between 0 (totally disconnected nodes) and 1 (universal connections). Compactness of 0 is obviously hopeless for an information space, but perhaps less obviously the graph shouldn't be too compact either; if authors of webpages are sparing a...