What an exciting time to be a teacher, a student, and a learner!
I have a tentative understanding, at best, of human nature, but I do believe that most people find change uncomfortable and difficult to deal with both emotionally and intellectually. I am not immune to these feelings, but I like change. I like to embrace the unknown, I thrive off of dreaming about the possibilities that could be.
One of the most exciting things about the change of standards to the Common Core State Standards in Mathematics is the depth to which students are expecting to dive in their understanding. With this in mind, the fun of being a teacher is to create learning opportunities that facilitate students’ thinking and facilitate opportunities to dive deeper in their thinking.
The original idea for this lesson is hard to nail down, but I do know a large part of it came from the wonderful book Fostering Algebraic Thinking. The results are shown below:
I tried the lesson with sixth and seventh graders, and the biggest thing I realized is that there is a bunch of background knowledge with respect to the technology that students need to be familiar with to take advantage of the lesson. On the other hand, this seems like a natural way to introduce the use of technology in a lesson which has its own advantages.
What would you do differently? What would make this lesson better?