I’ve been teaching for a while now and I make a lot of mistakes. The mistake I think I make most is trying to do too much.
Dan Meyer says be less helpful. I say don’t try to teach everything at once.
His advice is probably better for most of you. (Ok that was just name dropping)
Seriously though. At the moment we are teaching students to write and solve two-step equations. If I were working on my own I would have basically jumped into the two-step equations and let the kids struggle for a while wondering why they weren’t getting it. Instead my coach has helped me write lesson plans (read that as doing most of the work), while I’ve been teaching. While the lessons are ending up being mostly me talking and guiding students through examples, and I would like to do less of that, they have been more focused.
Small steps, first spend a whole lesson just exploring the connections between words and operations. Second, spend a whole lesson with one step word problems, (Use an Andrew Stadel video for fun and excitement [yes it could also have been a two-step equation lesson]). Third, just model two-step equations (I tried to jump ahead and solve, but that didn’t work). Fourth, reboot from yesterday, but now we can solve. Fifth, review of the distributive property and guide students through writing a two-step equation with distributive property.
Five days to do something I might have attempted to do in one day. Are the students better prepared? According to the exit slips everyone is keeping up just fine. What I do notice is in my word problem for the daily warm up, students are still jumping right to the answer.
On Monday, 324 students went on a trip to the zoo. All 8 buses were filled and 4 students had to travel in cars. How many students were in each bus ?
Everyone wants to say 40 (or 40 1/2 ). So I go back and ask how did you get that? We write something like (324-4) / 8 = 40. I ask is that what is written on the board or is that how to solve the problem? After some thinking time we discover that what is written on the board is 8s + 4 = 324. The word and is easily seen as a plus not a minus. Finding the multiplication is a bit harder, but, as almost half my students are bilingual, I can point out that translating isn’t always a word for word thing, sometimes you have to get the meaning. (Would you really like to put were on your word wall and say every time you see this word think multiplication?)
I’m really pleased that by teaching slowly, doing less. we not only have a stronger understanding of writing equations, but we are also teaching how to solve equations within the same context. Actually, I can point to the ease with which my students get the right answer and say, the right answer is like a grade of C, getting the right equations is like a B, and then being able to do everything backwards (writing a good word problem) is like an A. This works because some of the word problems we have seen while practicing have been very difficult to understand.