For many students, maths class is the subject of nightmares. Many who enthusiastically show off their counting skills in pre-school years later consider maths class the most loathed hour of the school day. The problem, according to a Stanford education professor, is a matter of mindset.
“All children are different in their mathematical thinking, strengths and interests,” said Jo Boaler, a professor of mathematics education at Stanford Graduate School of Education.
Boaler has studied how students learn math, to identify why so many students end up hating or fearing math, and, too often, underachieve. She has followed thousands of students through middle and high schools to ascertain exactly how they learn and what are the most effective ways they reach their potential.
In her new book, Mathematical Mindsets, Boaler describes how society has traditionally valued one type of maths learner – one who can memorize well and calculate fast – as opposed to others who have the same potential but may be deeper, slower and more creative. The book offers research evidence and resources for teachers and parents to help children learn maths well, in the classroom and at home.
The “testing culture” in American schools is a major problem for maths learners, Boaler said, noting that exams and tests are far more pervasive in maths than other subjects.
“Students from early ages realize that maths is quite different than other subjects, and that it depends heavily on taking tests and answering uninteresting questions.”
This combination of frequent testing, procedural teaching and uninteresting questions disconnected from students’ lives causes many students to regard maths as a “cold, lifeless subject” without a human connection, she said.
Many students, she said, believe incorrectly that to be good at maths they need to be fast at maths – too many classes emphasize speed in maths and memorization.
Boaler has published research and strategies on the best ways for students to learn maths “facts” without the fear and anxiety that many students feel when given timed tests and flash cards.
For example, speed pressure in maths causes the early onset of maths anxiety for many students, she said. And children who think more slowly and deeply are often turned off by maths because they see it as a subject of shallow recall of facts and rules.
Opening up mathematics
The good news is that any student’s negative perception of maths can dramatically change, Boaler said. In her recent summer maths camp for seventh- and eighth-grade students, which can be seen in this video, students learned to enjoy maths and they improved their achievement dramatically through open, creative maths lessons.
Boaler works with Stanford psychology Professor Carol Dweck to deliver growth mindset interventions to teachers and students. A “growth mindset” is built around the idea that most basic abilities can be developed and expanded upon through dedication and hard work. By contrast, with a “fixed mindset,” people believe their basic qualities, like their intelligence or talent, are simply fixed traits.
“When we open up mathematics and teach broad, visual, creative math, then we teach maths as a learning subject instead of as a performance subject,” Boaler said.
Boaler offers resources on how to develop growth mindsets for maths learners. Her new Stanford centre, youcubed, which is funded by the Bill & Melinda Gates Foundation, provides free mindset maths lessons that were used in over 100,000 schools last fall. The website has attracted millions of visitors in the last month alone. She also has online courses for teachers and parents and for students to help them teach and learn math.
When schools teach young people growth mindset mathematics, Boaler said, the outcome is that the subject becomes deeper and filled with more connections, so students enjoy it more and achieve at higher levels.
Maths for today’s tech world
Boaler has also worked with the Program for International Student Assessment tests team, analysing their data set of 13 million students worldwide. They found that the lowest achieving students are those who use a memorisation strategy. The highest performers are those who see maths as a set of connected, big ideas.
Boaler agrees with high-tech leaders such as Conrad Wolfram, who supports “broad, multidimensional” mathematics, which involves problem solving, modelling, reasoning, making connections and thinking deeply.
She points out that students entering the 21st-century workplace need to be able to ask questions of data, map out mathematical pathways and reason quantitatively – routine calculations, after all, will be performed by machines. She cites research studies that demonstrate how such an approach can engage more young people and put them on a path to success.
Click here to view the Book (priced at £13.94*) on Amazon UK, or Click here to view the Kindle Edition (priced at £10.44*) also via Amazon UK.
This release was issued by Stanford University, USA.
*Prices correct at time of publication