Math problems make more than a few students鈥攁nd even teachers鈥攕weat, but new brain research is providing insights into the earliest causes of the anxiety so often associated with mathematics.
Experts argue that 鈥渕ath anxiety鈥 can bring about widespread, intergenerational discomfort with the subject, which could lead to anything from fewer students pursuing math and science careers to less public interest in financial markets.
鈥淧eople are very happy to say they don鈥檛 like math,鈥 said Sian L. Beilock, a University of Chicago psychology professor and the author of Choke, a 2010 book on brain responses to performance pressure. 鈥淣o one walks around bragging that they can鈥檛 read, but it鈥檚 perfectly socially acceptable to say you don鈥檛 like math.鈥
Mathematics anxiety is more than just disliking math, however; someone with math anxiety feels negative emotions when engaging in an activity that requires numerical or math skills. In one forthcoming study by Ms. Beilock, simply suggesting to college students that they would be asked to take a math test triggered a stress response in the hypothalamus of students with high math anxiety.
Ms. Beilock and other experts at a Learning and the Brain conference held here May 5-7 are searching for the earliest problems in a child鈥檚 math career that can grow into lifelong fears and difficulties. The conference, put on by the Needham, Mass.-based Public Information Resources, Inc., brought together several hundred educators and administrators with researchers in educational neuroscience and cognitive science.
Stress in the Brain
Anxiety has become a hot topic in education research, as educators and policymakers become increasingly focused on test performance and more-intensive curricula, and neuroscience has begun to provide a window into how the brain responds to anxiety.
Researchers have found that the more anxious their female teachers were about math, the more likely girls鈥攂ut not boys鈥 were to endorse gender-related stereotypes about math ability. In turn, the girls who echoed those stereotypical beliefs were performing less well than other students in math by year鈥檚 end.
SOURCE: University of Chicago
Anxiety can literally cut off the working memory needed to learn and solve problems, according to Dr. Judy Willis, a Santa Barbara, Calif.-based neurologist, former middle school teacher, and author of the 2010 book Learning to Love Math.
When first taking in a problem, a student processes information through the amygdala, the brain鈥檚 emotional center, which then prioritizes information going to the prefrontal cortex, the part responsible for the brain鈥檚 working memory and critical thinking. During stress, there is more activity in the amygdala than the prefrontal cortex; even as minor a stressor as seeing a frowning face before answering a question can decrease a student鈥檚 ability to remember and respond accurately.
鈥淲hen engaged in mathematical problem-solving, highly math-anxious individuals suffer from intrusive thoughts and ruminations,鈥 said Daniel Ansari, the principal investigator for the Numerical Cognition Laboratory at the University of Western Ontario, in London, Ontario. 鈥淭his takes up some of their processing and working memory. It鈥檚 very much as though individuals with math anxiety use up the brainpower they need for the problem鈥 on worrying.
Moreover, a series of experiments at the Mangels Lab of Cognitive Neuroscience of Memory and Attention at Baruch College at the City University of New York suggests this stress reaction may hit hardest the students who might otherwise be the most enthusiastic about math.
Jennifer A. Mangels, the lab鈥檚 director, said she tested college students on math in either neutral situations or in ways designed to invoke anxiety, such as mentioning gender stereotypes about mathability to girls being tested, or telling students that their scores would be used to compare their math ability with others鈥.
Ms. Mangels found, in keeping with other research, that students tested in stressful situations had lower math performance. She also found that stress hit otherwise promising students the hardest.
In nonstressful tests, the students who most identified with math, defined as those who sought out more opportunities to learn within the math program, had the highest performance. While under stress, those same students performed worse than those who didn鈥檛 identify with the subject.
鈥淲e鈥檙e reducing the diagnostic ability of these tests by having students take them in a stressful situation,鈥 Ms. Beilock agreed.
Dyscalculia and Bias
Two problems in a child鈥檚 earliest school experiences鈥攐ne biological, the other social鈥攃an build into big math fears later on, experts say.
In a , Mr. Ansari and his colleagues at the Numerical Cognition Laboratory have found that adults with high math anxiety are more likely to have lower-than-typical ability to quickly recognize differences in numerical magnitude, or the total number of items in a set, which is considered a form of dyscalculia.
As part of normal development, children become increasingly adept at identifying which of two numbers of items is bigger, but Mr. Ansari found those with high math anxiety were slower and less accurate at that task, and brain scans showed activity different from that of people with low math stress doing the same tasks.
Because understanding numerical magnitude is a foundation for other calculations, Mr. Ansari suggests that small, early deficiencies in that area can lead to difficulties, frustration, and negative reactions to math problems over time.
Moreover, math anxiety can become a generational problem, with adults uncomfortable with math passing negative feelings on to their children or students.
Ms. Beilock found female 1st and 2nd grade teachers with high anxiety about math affected both their students鈥 math performance and their beliefs about math ability. In a of a dozen 1st grade and five 2nd grade teachers and their students, researchers found no difference in the performance of boys and girls in math at the beginning of the year. By the end of the school year, however, girls taught by a teacher with high math anxiety started to score lower than boys in math.
Moreover, those girls were more likely to draw pictures supporting a gender bias鈥斺淏oys are good at math; girls are good at reading鈥濃攁nd the stronger the bias, the worse the girls performed.
That study, and , highlight a need for more training for parents and teachers on how to conquer their own math fears and avoid passing them to children, Ms. Beilock and Mr. Ansari said.
鈥淭eacher math anxiety is really an epidemic,鈥 Mr. Ansari said. 鈥淚 think a lot of people go into elementary teaching because they don鈥檛 want to teach high school math or science.鈥
Eugene A. Geist, an associate professor at Ohio University in Athens and the author of the 2001 book, Children Are Born Mathematicians, works with math teachers to create 鈥渁nxiety-free classrooms鈥 for students. He advises teachers to have students focus on learning mathematics processes, rather than relying on the answer keys in a textbook, which can undermine both their own and the teacher鈥檚 confidence in their math skills.
鈥淚f I give the answer, you immediately forget about the question. If I don鈥檛 give you the answer, you will still have questions and you will be thinking about the problem long after,鈥 he said.
By contrast, constantly referring to an answer key can undermine both students鈥 and teachers鈥 confidence in their own math skills, and encourage students to focus on being right over learning.
Likewise, Dr. Willis, the California neurologist, said that teachers can help students reduce their fear of participating during math discussions by asking all students to answer every question, using scratch paper or electronic clickers to 鈥渂et鈥 on answers, and then talking about the problem as a group.
鈥淚t helps with wait time [between question and answer], increases participation, and decreases mistake fear,鈥 Dr. Willis said. The key to helping students learn not to fear math, she said, is to 鈥済et students to expose faulty foundational knowledge, which they can only do if they make mistakes and participate.鈥