Unteaching Student Mistakes
Her video library did provide students with time to work on problems during class, then go over the results together. In the past, she would have spent time explaining the correct way to solve problems. One of the biggest shifts she has made is to spend a lot of time going over incorrect answers—dissecting them to reveal why they are incorrect and where that student’s thinking went wrong.
Stacey reflects: “Until students began working on problems themselves, the types of questions they would ask were very surface-level questions. It was very rare that we got to those deep learning analysis questions, because they were trying to process something new, and they were trying to write it down. I knew that was a problem.”
There is research that suggests un-teaching students’ mistakes and fixing their misconceptions is extremely beneficial. If you only show the right way to solve a problem, students still might not understand. But if you break the problem down and say, “This is where you went wrong,” that’s really powerful. Stacey has found great success by doing just that—and technology is what makes this approach possible.
Technology for Deep Learning
Stacey uses Pear Deck, a web-based interactive presentation tool, to project students’ work anonymously to the class. Each student has a Wacom tablet connected to a laptop. The tablets allow them to solve problems by writing out their solutions. Using Pear Deck, Stacey creates a live presentation session that students can join from their own devices with a passcode. She can see her students’ work with a dashboard view, and she can isolate and project a student’s work anonymously for the whole class to see, so that she can discuss it with the class.
Before she had this technology available, when she would have students raise their hand or come up to the board to solve a problem, the responses were “tied to a specific student,” she says, “and I didn’t feel as comfortable calling a student out who was doing something incorrect.” But now that it’s anonymous, “it allows us to have these conversations about the incorrect answers and why those mistakes were made, why those students were thinking along those lines—and digging into why it’s incorrect. I would say that’s one of my favorite parts about using Pear Deck and using technology.”
Deep Learning through Peers
Not only is Stacey able to lead a much richer discussion that results in better learning, but every student is participating.
“It’s not just about calling on one student, or having one student some up to the board and do it. Everybody’s participating, instantly and in real time,” she says. “We’re not just discussing one student’s result; we’re discussing the whole class’s results. The level of participation we can have is (phenomenal), and I think our discussion goes to a whole new level.”
Stacey also sets aside class time for her students to work together and help each other understand the material. And she sets this expectation from the outset, within the first five days of school.
“I stress that this is not going to be a class where you are learning on your own and just doing your own thing,” she explains. “This class is all about helping and learning from one another. If you’re working faster along, that’s your opportunity to help someone else. I also tell them that when they are taking someone else through a problem and explaining how to solve it, they are strengthening their knowledge in more ways than they could by doing 50 problems. By explaining how they do it, they’re really analyzing their thought process. They’re breaking it down, which is such a high-level skill.”
As students are collaborating, she walks around the room and listens to their conversations. “By hearing where they’re coming from, and how they get from step A to step B, I get such insight into where there is confusion,” she says. “I get to hear whether or not they are deeply understanding. Before, when they were just handing in work, I didn’t know if they did it themselves or had help from somebody else.”
In Singapore, they have this mantra: Teach less, listen more. Stacey practices that idea in her classroom. By having students helping other students, she is learning more about each student’s thinking.
“I think the worst thing in the world is when a student does poorly on an assessment, and you weren’t able to call that ahead of time,” she says. “As a teacher, I really hate those moments—because it makes me feel I wasn’t listening enough.”
Deep Learning for Online
Stacey also teaches an online section of AP Calculus. To replicate this practice with her online students, she has them take part in Google Hangout sessions in groups of 2-4 students, where they are discussing problems and solutions—and she assesses those conversations via video, which I think is brilliant.
“They record and submit (those sessions), and I hear how they’re approaching the problems,” she says. “I absolutely adore that component of my class. It’s very time-consuming, because you have to listen to those recordings. But it’s so valuable to me. It allows me to jump in so many times (and help them fix their understanding) before an assessment.”
In a result that defies conventional wisdom, Stacey says her online students consistently perform better than her face-to-face students, though all score well on the AP exam. She attributes that to the fact that her online students have learned to take more ownership of their own learning.
“They know their questions are only going to get answered if they ask them,” she says. “And they are asking them.” Often in her face-to-face classes, “students wait for me to open their books and get started for the day. In the online environment, I’m never going to tell them that. They are taking responsibility for that. That has been really remarkable to me.”
Empowering students to help each other, required Stacey to let go of some control over the conversations in her classes—but it has resulted in much more powerful learning for her students.
“When you’re sitting in the passenger seat of a car, you could go somewhere five times when somebody drives you, and when you get in the driver’s seat, (you don’t know how to get there yourself),” she notes. “You need to practice it yourself, you need to make those connections yourself.” And that’s what shifting some of the control to her students has empowered them to do.