Last year, during a dinner with parents before an appearance at a school in Maryland, a mom told me she was grappling with guilt and frustration because the math pathway sheâd chosen for her son in middle school had âshut him outâ of top-tier engineering programs that wanted him to have âmore calculus.â
Recently, I hosted a Next Office Hour on math and the role it plays in college admissions.
Afterwards, I caught up with one of the panelists, Shalinee Sharma, author of Math Mind: The Simple Path to Loving Math, and cofounder of Zearn, to talk more about her book. The following conversation has been edited for length and clarity.
Q. One of my favorite stories in your book was the A&W â1/3 pounder burger,â which A&W promoted as bigger than the McDonald's quarter pounder, yet it didn't sell because people didn't know a third was bigger than a quarter. It reminds me of when I'm in a store and a clerk has to make change and can't. What has happened to our math skills?
A. This story of Americans failing at fractions isnât about intelligenceâitâs about lost intuition. Weâve lost the everyday number sense that helps us make sense of the world around us â including how much meat weâre getting for our money.
Our lost intuition is rooted in the way many American students experience math. Unlike higher performing nations, U.S. students experience math as a series of procedures without gaining a deep understanding of the concepts behind them.
Learning with pictures and objects helps students grasp the âwhyâ behind math, making abstract concepts tangible, especially when students get stuck. Ultimately, the acid test of whether you understand a math conceptâwhether youâre a kindergartener or a mathematician building AI algorithmsâis if you can draw a picture.
The 2008 National Mathematics Advisory Panel report emphasized the need for a balance of fluency and understanding. If we think about it like reading, fluency is the ability to decode words quickly, while conceptual understanding is being able to comprehend what youâre reading. One doesnât work without the other.
Q. How did math become so anxiety-ridden?
A. As I share in Math Mind, the way we talk to our kids about math matters.
The idea that certain people are born with math ability and the rest of us arenât the biggest myth in math learning. Science has shown babies as young as 2 days old have an inherent number sense. There is no such thing as a âmath person.â We are all math people.
When a kid falls behind in reading, we don't say, well, you're just not one of the reading kids. We'd be shocked to hear a parent say their child just isn't cut out for reading books. Yet we do this with math from the start.
Just as troubling, however, are the everyday myths in the math classroom that keep us from learning and loving math. Speed is often over-emphasized in math. To be clear, developing fluency is vital in math, but as studentsâ progress to more advanced math, they need to know when to move speedily and when to move slowly and methodically, both of which are critical in problem solving.
In overemphasizing speed, kids assume they donât belong in mathâreinforcing the myth of the math kidâand donât advance their problem-solving abilities. Speed counts for somethingâjust not for everything.
Q. If you were math czar for a day, what's the one thing you'd do?
A. There is no silver bullet when it comes to supporting math learning, so Iâd invest in three key areas.
First, offering a balance of fluency and conceptual understanding in math to ensure that students have both the automaticity and the conceptual grasp to tackle increasingly complex math.
Second, teaching math using visuals and objects to help math make sense and support students in building strong mathematical intuition.
Third, creating systems to help all students catch up when they fall behind. Every student will need support at some point, and catching up shouldnât be about luck.