from the reshuffling dept
California's two university systems, for instance, consider applications only from students who have taken three years of mathematics and in that way exclude many applicants who might excel in fields like art or history. Community college students face an equally prohibitive mathematics wall. A study of two-year schools found that fewer than a quarter of their entrants passed the algebra classes they were required to take.I will admit that my initial reaction to this article was to scoff and think that it's ridiculous. Understanding basic algebra, to me, seems fundamental to understand a variety of other important things -- including some forms of logic and statistics. So, I wondered how dropping algebra as a requirement might make those already lacking fields even worse.
"There are students taking these courses three, four, five times," says Barbara Bonham of Appalachian State University. While some ultimately pass, she adds, "many drop out."
Another dropout statistic should cause equal chagrin. Of all who embark on higher education, only 58 percent end up with bachelor's degrees. The main impediment to graduation: freshman math. The City University of New York, where I have taught since 1971, found that 57 percent of its students didn't pass its mandated algebra course. The depressing conclusion of a faculty report: "failing math at all levels affects retention more than any other academic factor." A national sample of transcripts found mathematics had twice as many F's and D's compared as other subjects.
However, Hacker's piece actually suggests something of a solution: potentially replacing algebra with a form of statistics, which is rarely a required course.
Instead of investing so much of our academic energy in a subject that blocks further attainment for much of our population, I propose that we start thinking about alternatives. Thus mathematics teachers at every level could create exciting courses in what I call "citizen statistics." This would not be a backdoor version of algebra, as in the Advanced Placement syllabus. Nor would it focus on equations used by scholars when they write for one another. Instead, it would familiarize students with the kinds of numbers that describe and delineate our personal and public lives.I will admit to being unsure how such a class will work without a basic underpinning in algebra. However, conceptually, what Hacker is saying makes sense. Focusing on the formulaic side of algebra isn't particularly practical for many people. I could see how classes that focus on practical mathematical skills around statistics and logic, could actually be a lot more useful. And while he says these don't need to be "backdoor" algebra classes, I'm not so sure that's a bad thing. Having people understand the basics of algebra by putting them in realistic situations they understand, and showing how to apply such things in a useful manner doesn't seem like such a bad idea...
It could, for example, teach students how the Consumer Price Index is computed, what is included and how each item in the index is weighted - and include discussion about which items should be included and what weights they should be given.