In addition to all of the other things I do between work and home, I mow the lawn most of the time. I started doing this more in earnest last year, somewhat at the prodding of my husband to get some exercise as I was (and still am) working on losing weight. To be honest, it is not my favorite chore, but I am getting to the point that I mostly enjoy it because it gives me about an hour and a half to ponder things.
When I started mowing, I wanted to ponder the Wii Bowling problem I've blogged about recently. I am really struggling with it at this point. I have pretty much come to the conclusion that whatever math is involved in determining the skill level is out of my realm. I have never failed on this kind of level with a lesson. Well, the students did get to Wii bowl in class for two days and they seemed to enjoy that, not to mention that it upped my "coolness" level with my students (they
did get to play Wii in class, after all). But mathematically, I got nowhere.
What good is a mistake if you don't learn from it? What did I learn here? First - I have a long way to go. I thought I had something math-worthy that would hook my students in because of the video game. Well, they were hooked by the video game and they actually didn't do half bad on coming up with questions. But I didn't design it well enough to get them to ask the question(s) I was looking at when I looked at the information. I have no idea how to do this. I'll be honest, I graduated from college 19 years ago and when I went to Math Ed school, we didn't do anything like this. As a matter of fact, I have very little exposure to using problem solving in my classroom. I do still have a few books from college (not sure why, but I do) and I'm not sure if any of them would be much help. There are a couple of them I want to look at again to see if there is anything to help me, but I am not holding my breath. How in the world do I learn how to develop these kind of problems that are thought-provoking and leads to the question(s) with little/no aid from me? And more importantly, where does it go from there?
Dan Meyer has brought the
#anyqs challenge to the Twitter/blogosphere in the last week. The first version had 4 sets of mileage and times (what you see in the corners of the picture immediately below). Here is my version 2 of my contribution:
4 comments:
Wow thanks for such a reflective blog post! I know exactly how you feel. I have come from a different perspective since I am in my first year of teaching, but I know the feeling of desiring to change, but feeling incapable of making that change.
I felt fairly dejected when I first started with Mr. Meyer's stuff, and I think it really comes down to when you finally get that problem that you understand and have worked out yourself.
I know that is not much help, but I am pretty well at the same point as you so I feel like I am not the one to give advice. Like you said though Twitter is a great source for this professional development and help, that I am sure we will make it!
"What good is a mistake if you don't learn from it?" Maybe you've learned that the thing you're trying to do doesn't work or that you need more time to prepare or you need to start at the beginning with something much more simple.
Be less helpful by asking questions. When a student says something incorrect like "2^3=6", then you say, "So, 2*2*2=6? Does that make sense?" State the problem a different way but still give the wrong answer and let them reason it out. If they still don't understand, then you've identified a weakness. If they insist that they are correct, then make them prove it. Tell them to figure out another way to do the problem.
Keep up the good work!
Thanks for an honest post, with lots of good questions. When I am trying to be less helpful I give out a problem, perhaps with prompts/scaffolding, and then circulate while pairs or small groups work. Then when they call me over I say things like, "What have you learned so far?"
If a child says, "I don't get it" (my most hated of phrases) then I reply, "Start from the beginning and tell me what you did understand."
Using other people problems always helps me, too. I use a lot of problems from nrich; they all have teacher notes and hints and they are easily searchable.
I am eager to see what you try and how it goes, because it sounds like you are excited and willing to try stuff. :)
I really needed to see this today. Just a reminder of how our struggles are ultimately what drives our growth. Witnessing this through you is inspiring...
Thinking about NCTM in Orlando myself. We shall see. =)
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