Student Loans will Exceed $1 Trillion

Two things, however, are clear. The size of student debt is vast (see chart), and lots of borrowers are struggling. More than 10m students took out loans for the latest academic year, according to a report issued on October 26th by the College Board, a consortium of academic institutions. Almost a third of students graduating from college, and 69% of the ones dropping out, hold debt tied to their education. The total amount of debt is staggering. The New York Federal Reserve Bank puts it at ...

 Spherical Cows

Milk production at a dairy farm was low, so the farmer wrote to the local university, asking for help from academia. A multidisciplinary team of professors was assembled, headed by a theoretical physicist, and two weeks of intensive on-site investigation took place. The scholars then returned to the university, notebooks crammed with data, where the task of writing the report was left to the team leader. Shortly thereafter the physicist returned to the farm, saying to the farmer, "I have the ...

 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...

 Beware Temporal Coupling

When people first sit down to design and architecture or write a program, things tend to be linear. That's the way most people think--do this and then always do that. But thinking this way leads to temporal coupling: coupling in time. Method A must always be called before method B; only one report can be run at a time; you must wait for the screen to redraw before the button click is received. Tick must happen before tock.