Math class goes like this: Teachers give problems; students do problems; teachers give the answers. Teachers give more problems; students do more problems; teachers give more answers. Repeat. Eventually, students get a grade. And then they know if they are good at math. My students know this is how it is by the time they start middle school. But in my class it doesn’t work that way. Sure, I give problems, and yes, students do problems. And I have answers, but I keep them to myself. Knowing their answers make sense has to come from students themselves. My job is not to let them know whether they are right or wrong, but instead my job is to convince them that they have power and control over their own problem solving.
This may seem strange. You may wonder, “How will the students know they are right if the teacher doesn’t give the answers?” Here’s what I wonder “The last time you had to figure something out, how did you know you were right?” I’m guessing you probably didn’t find someone in a position of authority and ask them to look it up in an answer key to confirm that you are a good problem-solver. Genuine problems come our way without solutions. If we had solutions, they wouldn’t be problems. I’d be willing to bet you did one of the following as you solved the last problem mattered to you:
- You didn’t what do do and you talked it over with your friends.
- You slept on it, hoping it would go away and woke up ready to work on solutions.
- You had an idea, tried it out mentally, and satisfied it might work, you took action.
- You had an idea, shared it with a trusted friend or co-worker or family member to make sure it made sense to them too, and if it didn’t, you adjusted accordingly.
- You tried your solution, saw it didn’t work, learned from your mistake and tried something else instead.
My math class offers students the opportunity to do what we all do when we have problems. And if they knew I would provide answers as soon as they get stuck, the game would be over. They wouldn’t that they are in charge of solving the problems that matter to them.