In math classrooms, students often interpret a wrong answer as a dead end, making it hard for them to recognize that mistakes can be one of the most powerful ways to learn. “Just as we reread in reading, and revise in writing, we fix problems in math and seek more efficient strategies,” says Kathy Collier, an elementary school instructional coach.
Mistakes push the brain to reconcile contradictory information and build more accurate, durable solutions—research also suggests they catalyze a chain reaction of productive brain activity. Before a learner is even aware of a mistake, “error” neurons fire; milliseconds later, “conflict” neurons respond, signaling the need to resolve competing ideas. In this state, the brain is especially well positioned to encode new information deeply.
In math, learning from mistakes can help students solidify a formula, drive home a complicated concept, or prepare them for future assessments. But this will only happen if students learn to value mistakes. “When teachers create a classroom culture that normalizes error-making and encourages students to analyze, discuss, and understand their missteps, mistakes can be powerful tools,” writes Wendy Amato, chief academic officer at K12 Coalition, in a recent EdWeek article.
Drawing on Amato’s strategies and other classroom-tested procedures, we’ve curated a list of five concrete ways to encourage and celebrate mathematical mistakes. From solo and collaborative projects to formative assessments, these activities help students embrace and reflect on their errors.
Highlight Your “Favorite No”
Making a mistake doesn’t have to be something that students feel they need to hide. In an activity she calls “Favorite No,” Amato uses errors as a starting point for classwide learning.
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