What is 29 + 14?
Some readers may solve the problem procedurally: line up the two numbers, add the ones column, carry the one, and add the tens to get 43. Others might instead notice a creative shortcut: 29 + 14 is the same as 30 + 13, a much easier sum to calculate. Recent studies show that the less likely someone is to use procedural solutions, the better they tend to be at more abstract problem-solving—and gender is a significant predictor.
In a new study, researchers asked a group of 213 students from one Midwestern U.S. high school to do three arithmetic problems. Only 18 percent of the boys used the procedural method for all three questions, compared with 52 percent of the girls. And those who rarely used a procedural algorithm were significantly more likely to succeed on problem-solving questions.
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“Honestly, [the results] blew me away,” says Indiana University Bloomington mathematics education researcher Sarah Lubienski, a co-author of the study, published in the British Journal of Educational Psychology. They are “the most interesting findings of my career,” she adds. And that was before Lubienski and one of her co-authors realized that another group had reached almost identical conclusions in a similar study with 810 U.S. adults. The researchers decided to team up for a two-study paper. “Together we felt like it made a pretty compelling argument that we need to pay more attention to how people are approaching computation from a young age,” Lubienski says.
Amanda Montañez
The team found that students who reported a greater desire to please their teachers, a trait that skews heavily female, were more likely to solve problems procedurally—that is, the way the teacher instructed them to. This tendency could factor into a long-standing paradox in math education: girls often have better math grades than boys, and girls and boys perform similarly on state assessments, but girls lag behind on high-stakes testing such as the SAT and beyond, especially with tasks that involve solving problems they’ve never seen before. The same studiousness that helps girls get ahead in school may be holding them back later on. The researchers also found that creative problem-solving was correlated with stronger spatial skills, specifically, with being able to rotate objects in one’s mind—an ability that Lubienski says can be learned.
[Test your calculation creativity with this math puzzle.]
“What I find exciting is that [the paper] points to potentially malleable mechanisms—not just ‘girls do X, boys do Y’ but why those differences might emerge,” says education researcher Joseph Cimpian of New York University, who was not involved in either study. “The issue may be not ability but rather the interaction of instruction, classroom norms, anxiety and what students believe is expected of them.”
Even if you’re no longer in high school, it’s never too late to improve your problem-solving skills and practice thinking outside the box, Lubienski says. “Try to solve math puzzles in Scientific American,” she suggests.