Community college students placed in remedial math — a large majority — may have memorized a few procedures, but they don’t have a clue what they’re doing, according to researchers.
In one study, few could place -o.7 and 13/8 on a number line from -2 to 2. Asked which is greater, a/5 or a/8, 53 percent answered correctly, barely beating a coin toss.
“Seeing two fractions near each other apparently triggered an urge in some students to use the cross-multiplication procedure they had memorized,” writes Nate Kornell on Psychology Today. If all you’ve got is a hammer, everything looks like a nail.