Collatz Conjecture

I was at school late tonight because I needed to work through reading some of the optional projects/explorations my kids turned in. I made a goal to do three. All three I read tonight were impressive in different ways. I was writing so many glowing comments on my notes that I am going to give my kids. It was like a million good things.

I snapped a picture of one of my student’s investigation into the Collatz conjecture. (Although the diagram looks confusing, I was beyond impressed with how clear the diagram became to me once I read his paper.) It was clear to me that he had a lot of fun thinking through this — and the paper that accompanied this showed me precisely what conclusions he was able to make, and how he approached the problem. This — and the other two projects I read — remind me how much kids can do if you give them the freedom to do it. I suspect academically, this is going to be one of the more memorable things this particular student will take away from his junior year.
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