Let me explain. When I was in high school, I took one of those aptitude tests. The results of that test told me I should either be a teacher, a youth pastor or, yes you guessed it, a cab driver. At first, I was thinking, "Cab driver? What's that about?" But as I thought about it, these three career paths have something in common: people. So, then why teaching? I'm going to try to impact people no matter what I do. So why teach?
That brings me to the selfish reason: Teaching is a case study in why people do what they do. I'm really interested in that.
Dan recently asked about the motivation for moving away from the text book when lesson planning. I think this gets at why I'd rather do my own thing even though I didn't realize it when I first responded. I want to know why kids do what they do, and most textbooks can only expose what they do. If I make my own activity, I can ask the questions the way only I ask them. It's my way of starting the conversation with my students.
Today was a great example of this. We were working through a Desmos activity where kids had to model sums using a number line. (I really wanted them to be able to sketch on an interactive graph, but, whatever, can't have everything.) But this activity exposed two really important misconceptions. One I was very aware of and the other I had never considered.
I've seen this one before. Often times students count the numbers and not the spaces. Ok, got it. I know how to deal with this.
At first glance I thought I had this one pegged too. Students are just stating the length of the segment. Through the discussion, however, it came out that a significant number of students said the blue segment represented positive three because it was on the positive side of the number line.
In 20 years, I've never seen that.
It led to a nice chat about direction and location and how these can influence the value of a number.
I don't have this conversation locked down. And that's why I want to come to work on Tuesday.
That and I want to see if Desmos has those sketchable interactive graphs yet.