Anyone Can Learn to High Levels

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by Jo Boaler


Stanford Professor of Mathematics Education, Online Course Experimenter,
Co-Founder of Youcubed, author of the new book: Mathematical Mindsets.


Many people think that some students can work to high levels and some cannot because of the brains they are born with,
 but this idea has been resoundingly disproved. Study after study has shown the incredible capacity of brains to grow and change within a remarkably short period of time.

Some of the amazing evidence of brain plasticity comes from studies of London Black Cab drivers. To become a black cab driver in London you need to study for between two and four years and at the end of that time take a test called The Knowledge. To pass The Knowledge you must memorize over 25,000 streets and 20,000 landmarks in Central London. Scientists found that after this complex spatial training the hippocampus of the taxi drivers had grown significantly. The hippocampus is a part of the brain that specializes in acquiring and using complex spatial information. When drivers retire, many years later, the hippocampus shrinks back down again.

hippocampus

The studies conducted with Black Cab drivers, of which there have now been many, showed a degree of brain flexibility, or plasticity, that stunned scientists. They had not previously thought that such brain growth was possible. This led scientists to shift their thinking about ability and the possibility of the brain to change and grow.  

Around the time that the Black Cab studies were emerging, something happened that would further rock the scientific world. A nine-year old girl, Cameron Mott, had been having seizures the doctors could not control. Her physician, Dr. George Jello, proposed something radical. He decided he should remove half of her brain, the entire left hemisphere. The operation was revolutionary—and ultimately successful. In the days following her operation, Cameron was paralyzed. Doctors expected her to be disabled for many years, as the left side of the brain controls physical movements. But as weeks and months passed, she stunned doctors by recovering function and movement that could mean only one thing—the right side of her brain was developing the connections it needed to perform the functions of the left side of the brain.

Doctors attributed this to the incredible plasticity of the brain and could only conclude that the brain had, in effect, “regrown.”

The new brain growth had happened faster than doctors imagined possible. Now Cameron runs and plays with other children, and a slight limp is the only sign of her significant brain loss. To learn more about this story visit the Today Show website.

The new findings that brains can grow, adapt, and change shocked the scientific world and spawned new studies of the brain and learning, making use of ever-developing new technologies and brain scanning equipment. In one study that is highly significant for those of us in education, researchers at the National Institute for Mental Health gave people a 10-minute exercise to work on each day for three weeks. The researchers compared the brains of those receiving the training with those who did not. The results showed that the people who worked on an exercise for a few minutes each day experienced structural brain changes. The participants’ brains were “rewired” and grew in response to a 10-minute mental task performed for just 15 days over three weeks. Such results should prompt educators to abandon the traditional fixed ideas of the brain and learning that currently fill schools—ideas that children are smart or dumb, quick or slow.

If brains can change in three weeks, imagine what can happen in a year of math class if students are given the right math materials and receive positive messages about their potential and ability.

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jobookThis article contains excerpts from Jo Boaler’s new book, Mathematical Mindsets:  Unleashing Students’ Potential Through Creative Math, Inspiring Messages and Innovative Teaching

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Teaching Children With These Messages

In a recent summer camp the youcubed team taught mindset and brain messages to local 6th and 7th grade students. They also – importantly – taught math in way that supported the new evidence. The camp had a huge impact on the students. After 18 days of math teaching the students improved their scores on standardized tests by an average of 50%. 

You can see the camp in this music video

Here are some quotes from the students: 

They taught us how, um, how math is for everybody, and I believed that I wasn’t a math person before but now I believe that anybody can do math, and, and that helped me a lot.  And the way I thought that math was all about right answers and wrong, but it’s really about ideas and it’s very creative, and that helped me like it a lot more.” – Olivia

Four or five brains work better than one, so when we combine all of our ideas ….  When we got an idea, we shared it with the group and then we compared all of them and if we got, a few people got the same one, we try convincing the other person and we see who’s right. – Antonio

Yeah, um, math is .. like now that I’ve seen a whole new different perspective of it, I really like it ‘cause it’s really, it’s  a really creative subject, and there’s a lot of ways to figure out a math problem, and it’s, um, it’s really fun.  Isabel

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References:

Boaler, J. (2015). Mathematical Mindsets: Unleashing Students’ Potential Through Creative Math, Inspiring Messages and Innovative Teaching. San Francisco, CA: Jossey-Bass.

Boaler, J (2015). What’s Math Got to Do with It? How Teachers and Parents Can Transform Mathematics Learning and Inspire Success. New York: Penguin

Karni, A., Meyer, G., Rey-Hipolito, C., Jezzard, P., Adams, M., Turner, R., & Ungerleider, L. (1998). The acquisition of skilled motor performance: Fast and slow experience-driven changes in primary motor cortex. PNAS, 95(3), 861–868.

Abiola, O., & Dhindsa, H. S. (2011). Improving classroom practices using our knowledge of how the brain works. International Journal of Environmental & Science Education, 7(1), 71–81.

Maguire, E., Woollett, K., & Spiers, H. (2006). London taxi drivers and bus drivers: A structural MRI and neuropsychological analysis. Hippocampus, 16(12), 1091–1101.  

Woollett, K., & Maguire, E. A. (2011). Acquiring “The Knowledge” of London’s layout drives structural brain changes. Current Biology, 21(24), 2109–2114.Book Image

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To read about studies of schools that have given students positive messages about their ability, combined with mathematics teaching that supports the brain messages, see: 

Boaler, J. (1998). Open and closed mathematics: Student experiences and understandings. Journal for Research in Mathematics Education, 29(1), 41–62.

Boaler, J., & Greeno, J. (2000). Identity, agency and knowing in mathematics worlds. In J. Boaler (Ed.), Multiple perspectives on mathematics teaching and learning (pp. 171–200). Westport, CT: Ablex Publishing.

Boaler, J. (2002). Experiencing school mathematics: Traditional and reform approaches to teaching and their impact on student learning (revised, expanded edition). Mahwah, NJ: Erlbaum.

Boaler, J. (2002). Learning from Teaching: Exploring the Relationship Between Reform Curriculum and Equity. Journal for Research in Mathematics Education, 33(4), 239-258.

Boaler (2005). The ‘Psychological Prison’ from which they never escaped: The role of ability grouping in reproducing social class inequalities. FORUM, 47, 2&3, 135-144.

Boaler, J. (2006). Opening Their Ideas: How a de-tracked math approach promoted respect, responsibility and high achievement. Theory into Practice. Winter 2006, Vol. 45, No. 1, 40-46.

Boaler, J. (2006). Urban Success. A Multidimensional mathematics approach with equitable outcomes.  Phi Delta Kappan, 87, 5.

Boaler, J & Staples, M. (2008). Creating Mathematical Futures through an Equitable Teaching Approach: The Case of Railside School. Teachers’ College Record. 110 (3), 608-645.

Emphasizing Depth and Not Speed

Some of our favorite Math Apps and Games

Assessment and Grading

Low floor, high ceiling Math Tasks and activities

See Jo facilitating a Dot Card Number Talk

See a video Tour of Mathematical Connections

See a video on Why We Need Common Core Math

Go to our Youcubed video page to see more videos by Jo

What’s Math Got to Do with It? How Teachers and Parents Can Transform Mathematics Learning and Inspire Success.

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