Mathematics teacher educator Dr. Ryan Nivens teaches teachers how to teach. “If you want to be a blacksmith or perfect your curveball, you have to swing the hammer or throw the ball.” True enough, but when it comes to teaching you not only have to practice teaching, you have to learn how humans learn. You can’t just tell students how to learn, you have to create the conditions in which they can experience it for themselves. Experiential learning is the cornerstone of Nivens’ teaching philosophy.
A typical class session with Nivens begins with an activity such as error analysis of common math mistakes, for example adding fractions. Too often, teacher candidates only identify procedural errors in student work, but are unable to analyze and articulate how such errors show a lack of underlying mathematical knowledge. Class continues with hands on activities, discussion and group problem solving.
Nivens believes math education is undergoing a renaissance. “The way most students were taught math is not how we teach them to teach math now.” The emphasis now is on developing real mathematical knowledge rather than memorization of tables and formulas. This often involves teacher candidates learning to present mathematical concepts and problems in different forms and asking their students to explain steps they can take to solve them.