Why
is it that some students find math easy, while others struggle
with it throughout their school years? And what explains those
rare students, one in 10,000 or fewer, who can master advanced
mathematics at an early age and with little training?
These are age-old questions, and attempts to answer them in
terms of pure and simple biology are just as unsatisfying as
explanations in terms of the environment alone, say many
researchers.
But a new study suggests that, whatever their ultimate
cause, differences in brain activity between mathematically
gifted and nongifted students do exist, even at a relatively
young age. The study, published in Neuropsychology
(Vol. 18, No. 2), was authored by cognitive psychologists
Harnam Singh, PhD, a researcher at the U.S. Army Research
Institute for the Behavioral and Social Sciences in Fort
Benning, Ga., and Michael O'Boyle, PhD, a psychology professor
at the University of Melbourne.
Singh and O'Boyle used functional magnetic resonance
imaging to measure the brain activity of 36 adolescents of
either high mathematical ability--as identified through a
gifted and talented program at Iowa State University--or
average ability. They focused on 13- and 14-year-old students,
rather than older teenagers or adults, to reduce the effect of
training as much as possible, says O'Boyle.
The researchers' results indicate that mathematically
gifted students are unusually adept at coordinating the
activity of the two cerebral hemispheres, which may make it
easier for them to learn complex mathematics. Such students
found it easier to combine information from the left and right
visual fields than nongifted students, and they also engaged
the two halves of the brain more equally, including areas
associated with attention and planning.
The experimental task itself was not numbers-focused.
Instead, students were asked to compare letters presented to
the right and left visual fields using either local or global
criteria. The ability to carry out this kind of spatial
comparison is correlated with mathematical giftedness, says
O'Boyle.
"For a hundred years, psychometrics have done a great
job of identifying high ability in many domains, but we
haven't spent as much time identifying underlying mechanisms
responsible for why people test this way," says O'Boyle.
"I think we've gone one step further."
Limitations
The study's findings are provocative but not conclusive,
say researchers on brain lateralization, giftedness and
mathematics education.
For one thing, it is not clear that mathematically gifted
adolescents are the only ones who have enhanced
interhemispheric interaction, says Michael Peters, PhD, a
neuropsychologist at the University of Guelph in Canada. If
the study had included a control group gifted in some other
domain, such as music or language, it could have provided
stronger evidence for that claim, Peters says. Furthermore,
participants in the study only performed one sort of task, so
generalizing to interhemispheric interaction in general is a
big leap, says Robert J. Sternberg, PhD, APA past-president
and head of Yale University's Center for the Psychology of
Abilities, Competencies and Expertise.
Finally, the study only identifies a correlation--not a
causal relationship--between mathematical giftedness and
interhemispheric coordination, notes Art Baroody, PhD, an
educational psychologist at the University of Illinois at
Urbana-Champaign. Some research has found that mathematically
gifted children are more likely to suffer from myopia, but
that doesn't mean that poor eyesight is a cause of
mathematical talent, he says.
O'Boyle notes that the study wasn't designed to answer
questions about the ultimate cause of the difference between
mathematically gifted and nongifted students.
"We don't know whether their brain organization is a
byproduct of their biology or whether it's the product of some
learning opportunity they've been exposed to," says
O'Boyle.
Applications
Researchers agree that practical applications of this kind
of research, even if corroborated by other studies, are a long
way off. But O'Boyle speculates that brain imaging might
eventually be used, together with more traditional tests, to
tailor teaching strategies to individual students.
"We may be able to use images of people's brains, just
like we use psychometric tests, to identify the capacity for
learning certain types of skills," says O'Boyle.
At this point, however, research on giftedness and the
brain is still in its infancy, and any application to
real-world education would be premature, cautions Camilla
Benbow, EdD, a professor of psychology at Vanderbilt
University engaged in a long-term study of mathematically
gifted youth.
And not everyone agrees that brain imaging would add much
to the kinds of psychometric and behavioral tests that already
exist.
"All that matters is if a kid wants to do the work and
can do the work," says Ellen Winner, PhD, a psychologist
at Boston College who is studying biological correlates of
musical giftedness. "I don't think we need these subtle
measures of brain activity. It's a lot easier to do
behaviorally."
Nonetheless, even if such research doesn't help target
specific kinds of teaching to individual children, it could
help researchers understand the process of math learning in
general--not just for gifted children, but also for children
of average ability, says O'Boyle.
"Right now these findings are at such an early stage
of development, the applications are hard to see," says
Benbow, who has collaborated with O'Boyle in the past.
"But we're hoping down the line that this type of
knowledge will help us create better educational approaches
for teaching these kids."
Etienne S. Benson is a writer in Cambridge, Mass.
Further Reading:
* Singh, H., & O'Boyle, M.W. (2004). Interhemispheric
interaction during global/local processing in mathematically
gifted adolescents, average ability youth and college
students. Neuropsychology 18(2).
* Winner, E. (2000). The origins and ends of giftedness. American
Psychologist 55(1), 159-169.