There are a few things I found interesting in this article. First, I found it neat how this question was posed by students rather than the teacher. I believe that it is important to foster an environment of curiosity and exploration.
Second, I thought that it was great that not only did the teacher foster an environment of curiosity and exploration but also one of collaboration. It is not the teacher telling them what should be done to find the answer, it is a group working with each other in both their mistakes and their successes. Through this, students learn from each other in a variety of ways and as the teacher noted, many more mathematical terms were used in the discussion which most likely would not have been thought about if students were working individually.
Third. Through this problem, I have seen more of how powerful student exploration in a problem like this can be. This problem allowed students to work with the concepts of congruency, reflection, rotation, right angles triangles, areas, distance and the list goes on. Not only that, but they were also able to learn to work as a group and communicate their ideas. In this case “less is more.”
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