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Back to School: Triangle Congruence & Tears

3/20/2019

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Being an instructional coach for a high school district is not the easiest thing. I miss the kids dearly and toy with the decision of going back into the classroom often. After all, those who are in classrooms are the ones directly affecting and impacting kids. My role is one iteration away from the classroom, which has its benefits and drawbacks. In order to quell that feeling, I have scheduled out days in which I can go in and co-teach, demo a lesson, or hang out with the teacher for the day to be alongside them as they influence the lives of kids.

This week, I was able to head into an Integrated 1 class to demo a lesson about the triangle congruence theorems. Fun fact: I despised this portion of mathematics as a student, so doing these as a teacher coming in for a special day is a bit of karma, which works out perfectly: I don't want this group of students to have as much distaste for congruence as I had going through school.

​The benefit of doing this lesson is that I got to do it last year as well. Thanks to Elissa Miller and Kate Nowak, the difficult part of creating a meaningful handout was done. If you are teaching triangle congruence, click on each of their names and DO THIS ACTIVITY!

Being a guest teacher has its advantages and drawbacks. One advantage is that I get to come in and be the novelty, so classroom management isn't usually an issue. Not only that, but the novelty of my style, which is going to be different than almost any teacher, is weird enough to throw kids off and keep their attention for the period. One major disadvantage is that I don't get to develop a relationship with students, and that is crucial to letting them experience success in the long run. Seriously. Especially when kids cry.

I made a kid cry. And I don't* regret a thing.

With about 10 minutes left in class, the teacher comes up to me and tells me that one of her students, the one she had just checked in on, is crying. She is so frustrated about not being able to create a triangle with a 30 degree angle and a 70 degree angle, and she has broken down into tears. This didn't happen last year with the same exact activity. This hasn't happened in a loooooooong time for me (like, since Mr. Sierpinski's Triangle). Sure, kids have cried in my class, but it's because something outside of class caused it; not the math or the struggle that went with it.

Yesterday, I listened to Doug Fisher share about scaffolding and that we have scaffolded the struggle out of our students' educational experience. THAT is what has happened here and it's a shame!

This student, a middle-of-the-road performer, hasn't struggled with math content in far too long. She hasn't been given a task that challenged her to think critically, employ the Standards for Mathematical Practice, and encouraged/forced her to persevere through it. She hasn't been asked to use appropriate tools strategically or to construct a viable argument. Rather, this student--and her classmates--has been given problems to solve and, for the most part, experienced success in doing so.

​I circled back to the student at the end of the period and asked her what she was trying to do. 

"I... I am working on E. An angle of... 30 degrees(wipes tears)... and an angle of 70 degrees."

"Great! Can I borrow your protractor? I just want to get caught up with your thinking. (checks angles, sees that the 30 degree angle is not 30 degrees). Alright. The 70 degree angle looks good; see?"

"Yeah...(sniffle)"

"Now let's look at the 30. (points to the 20) Where do you see this crossing?"

"Oh... at the 20... wait, 22 degrees? Yeah, 22 degrees"

"OK, so do we know how to fix it? Show me. Here's the protractor"

From here, the student marked the 30 degree angle correctly, finished her triangle, and wiped away a small tear running down her face, a gentle reminder that she once struggled with something she now saw clearly. I might have even seen a slight smirk of confidence.

She was given the chance to struggle, and she learned from it.

We need to let kids do more of that in math class.

Happy "Sometimes Tears Are OK" Fishing

*of course I never want a kid to cry, but I don't regret the activity the way that it happened.
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Back to School: Parallel Lines & Progress

3/13/2019

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Today was a great day.

This semester, I have been focusing on some teachers in my district who are open to having me come in, try out some ideas, offer up some coaching, and take some risks of my own. At one of our 8 comprehensive high schools, I have found a teacher willing to let me come in, yet she still wants to be a part of the process; I love it.

Leading up to today's lesson, students had been learning about parallel lines and transversals, as well as angle pair relationships. They could accurately identify the relationships and whether or not they were congruent or supplementary. Therefore, today's lesson needed to provide for a little bit of review, a little bit of extension, and reinforce the progress that has been made along the way.

In our district, we have a subscription to Peardeck, a platform that piggybacks onto Google Slides and allows students to interact with the content by typing, dragging, drawing, or selecting. I love it because I am provided with instant feedback from students and can use the feedback to pivot instruction immediately. 

First, students did a Kahoot! activity to get them reset for math class. While I am not normally a fan of the program, today proved to me how it can be useful at times to get students locked into math class.

Next, we started the Peardeck for the day and handed out a worksheet for the kids to document their learning. Students would sketch what they saw on the slide in the space provided, then jot down the measure of the angles based on information they had in front of them.
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The thing that threw the class off right away is that the first problem was clearly not a set of parallel lines. What are we supposed to do?!
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Assumptions were made, frustrations were had, and progress was clear: the entire class was able to realize that we can't assume two lines are parallel without some mathematical proof. 

​Knowing that this is the standard for high school, it is not enough for students to merely use parallel lines and transversals; they must know how to prove that a set of lines are parallel or are not parallel.

At this point, we opened up the slide deck for everyone to go through it at their own pace, and to our absolute delight, the overwhelming majority of the class was confidently plowing through the prompts. We stopped them a couple times to clarify or point something out, but the overall vibe of the day was outstanding.

It's been a while since I handed out that many fist bumps and positive reinforcement and it felt great. For the kids, for the room, and especially for me; I needed a day of celebrating student success.

There is always room to grow, but this is certainly an activity I can see being used again in future classes.

Happy "Progress Feels Good" Fishing
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    Math nerds tend to have a reputation for being math nerds.  I'm here to continue that trend.

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