I had the opportunity to read “Making Room for Inspecting Mistakes” (link: https://drive.google.com/file/d/1PjEE0Y8SqMDVIVrETxgLDWCpX00aeDBO/view?usp=sharing) in this month’s issue of Mathematics Teacher from NCTM. The article discusses using mistakes to help students learn. One of the examples it utilizes is choosing a homework problem that is incorrect to go over for the entire class. Choosing these problems is artful because the teacher must ensure that the problem is going to be useful to the greatest amount of people in the class. There may be people in the class that would make the same mistake, others that get a better understanding of how to complete the problem because they did not know how to originally, and even others that understand where the mistake came from and how to combat it. There are three different contexts for leveraging mistakes that the article discusses: review of homework, during a task example, and during exam preparation. In each of these context, mistakes can be capitalized upon to help students grow in their understanding of the content that is being taught. During review for exams, it is a good check to ensure that students do understand what they have learned throughout the unit/semester/year.
This article prompted me to think about how making mistakes can be useful in the mathematics classroom. We have previously discussed how mistakes can be utilized to help students. Yesterday, and earlier today I had the opportunity to attend the SDEA Student Conference in Mitchell. One of the two breakout sessions utilized Breakout EDU. The concept of a Breakout EDU is similar to an escape room, but students are trying to break into a box. They can be bought online for different content areas. However, they do cost $125 so many teachers write grants to get Breakout boxes. Although escape rooms may just be a fad, Breakout boxes can benefit the classroom. After the activity, I began to think about when I would use Breakout EDU in my own classroom. I believe that these boxes could be useful at the beginning of the year to set a standard for collaboration between students, productive struggle, and making mistakes. Furthermore, during this time at the beginning of the year, a box could be useful as a review from the previous year’s material for the students. We saw in the lesson study that students were reluctant to productively struggle, and using a Breakout box could allow the students to start the year off participating in an activity that calls for productive struggle. Additionally, in the theme of making mistakes in the mathematics classroom, students are bound to make mistakes in their search for the answers to the clues. Using an activity such as Breakout EDU would allow the students to understand that making mistakes is beneficial, especially if they persevere in opening the box. Setting a standard for the benefits listed above of Breakout EDU in the classroom would help establish a particular environment in the classroom for the rest of the school year. This environment is aided in being established because after students complete the Breakout EDU, they discuss what went well for them, what problems they encountered, what did not go well, etc. The reflection is what cements the environment. Overall, there are clear benefits to making and going over mistakes in the mathematics classroom, and Breakout EDU could be used at the beginning of the year to establish an environment that promotes productive struggle, making mistakes, and collaboration between students.