I don’t know how I ever taught the distance formula inside a classroom. In fact, any lesson I can do that sends kids outside while I get to breathe some fresh air and relax is the best lesson. I taught this once to the only student teacher anyone has ever entrusted me with. I taught him that along with a bunch of other anarchist teaching principles. Maybe that is why I’ve never had another student teacher? Anyway, I did this lesson a while ago as a way to introduce the distance formula to my geometry class. It was adapted from this lesson by Pam Wilson if you want to do some more reading and create something that might fit your class better. Enjoy!
I started them off with this warm-up problem:
It was a great problem because kids actually know the restaurant and there was a big fight about how many walks due to the fact that there is more than one entrance to the parking lot, something that doesn’t show up on the map. After this, I showed them this map our our school: Continue reading
I hear it in the copy room when the line is long and teachers care less and less about making it to class on time. I hear it in the teacher’s lounge passing by the stale donuts that turn me into Homer Simpson every time I see them. I hear it walking through the quad when I see any other teacher. It’s some version of, “15 days left!” or, “Man, I’m done.” or, “I’ve got nothing left.” I even do it myself. Just this week on Monday morning, I saw another teacher and said, “It’s almost Friday!” He laughed viscerally. Continue reading
Today I lost control of my class and quit teaching. Well, I lost control of two of my classes. I teach 4 classes on 70 minute blocks. That part is boring and who cares? Today I had three students in my geometry class teach a lesson on the effects of altering dimension on the area of an object. So they talked about the effect of altering the height of a trapezoid, or altering the base and the height of a parallelogram. They did not go into solids. They did have a set of google slides ready that they showed, the class took notes on, and that they provided additional notes and examples on the whiteboard on the side. All three of them were teaching like crazy and they were prepared. In that same class last week, a group of students taught a lesson on finding the area of regular polygons showing simple examples as well as cases where students needed to find the apothem. They dissected the polygons into congruent triangles formed by the central angle, showed how to find the central angle, then showed how to use right triangle trigonometry to find the apothem and hence the area of a triangle and thus the whole figure. It was amazing. Each of these groups taught the entire class. They gave a warm-up, worked various examples, and gave an assignment. I sat in the back and took notes. Continue reading
How do you write about this? I haven’t been writing anything here since before the election. Since before Betsy DeVos, before the great climate change denial, before we throw the sick out into the streets, before the refugee kids in our classrooms were denied any last hope of refuge, before it was ok to assault women as long as you are famous, before the majority of Evangelical believers sanctioned such behavior, before our proud and massive community of bombs finally lost their mother. Ok the last statement was a joke, one that didn’t come from me, but a good one. There have been a lot of good ones. They help, to a point. But what have I done? I’ve tried to do the same thing I have always done with my students, be open and listen, be professional and teach math. I look for ways to give them stuff to be curious about and challenged by and excited for.
I’m teaching three algebra 1 classes this year and I wanted to start the year off with some art projects to fill my classroom. I stumbled upon this idea developed by Paul Fishwick, while scouring the internet over the summer. It’s called aesthetic computing and it is a great way to turn math into art. Basically it works like this: You start with an algebraic expression or formula such as the iconic:
You then rewrite the formula in explicit notation, like you would for an excel spread sheet formula: E = m*c^2. Next, create an expression diagram: Continue reading
On my bike ride to work today I was thinking about the quote by Bob Dylan, “A man is a success if he gets up in the morning and gets to bed at night, and in between he does what he wants to do.” So then I asked myself, “What do I want to do today?” I decided that what I didn’t want was to spend all day inside. Continue reading
Warning, this post contains a large amount of links that are intended to open student’s minds and then blow them away. Use at your own discretion.
I started my geometry class this year with some weird geometry activities. The first was this task from the Harvard project, Balanced Assessments in Mathematics. It asks them to imagine life on a cubical planet. Then after looking more at scale, measurement, and the distance and midpoint formulas, we dove into some taxicab geometry with these problems. We then spent time learning about proofs of angles and segments until we could start talking about Euclid’s Parallel Postulate. I started off talking about proofs by looking at Elon Musk arguing that we are living in a game. We analyzed the argument, wrote two column “proofs” to synthesize it. It has been a wild ride and we are wrapping it all up with the lesson we did the other day, and the project we are finishing now. The lesson comes from this one I wrote a while ago where they blow up balloons and do some geometry on them. Here are the questions they needed to answer for this. Continue reading