Posts Tagged motion
The bulk of this week was spent wrapping up acceleration by doing some problems with free fall. It took some time, but my students are getting comfortable with graphical solutions instead of more traditional approaches. Students continue to talk about what’s happening in the problem, rather than the formulas, which is great to see. A few kids are trying to memorize formulas, but watching their peers who use the graphs apply what they know to new situations with relative ease has helped convert the memorizers.
This week was also the first test in physics, and a lot of kids “took the bet and lost.” Based on the reading and thinking I’ve been doing about assessment and grades, I’m grading a lot less than in previous years. The trick is, students used to the way most teachers grade translate not graded as not worth doing. Not surprisingly, these students were not prepared for the test. That said, even when I’ve graded almost everything, I’ve had students find ways to copy or otherwise get out of doing the daily work, then have the first test hit them like a truck.
To try and address this problem, I stole an idea from Frank Noschese and have been giving my students weekly, self-graded quizzes. In addition to all the other benefits of frequent, low-stakes assessments, I hoped my students would figure out the benefits of engaging in the daily work early on. It worked for most of my students, and I saw more students digging into their work after the first quiz, but the stakes were too low for others to catch on.
I’m doing a two-stage collaborative exam for this test, so students will have a chance to recover come Monday. I’m looking forward to seeing how that goes. In the future, however, I’d like to work on strategies to get students away from the idea that not graded means not worth doing a lot earlier. I may make those early quizzes worth more points (at least on paper) or split our 1D motion into separate tests over constant velocity and uniform acceleration so that students will be taking the first test a lot sooner.
This week, students started using graphical solutions to solve problems for an accelerating object. I was introduced to this approach by Kelly O’Shea and Casey Rutherford at a workshop this summer. Rather than showing my students the usual assortment of kinematic equations, I’ve been hammering what has physical meaning on a graph, especially when on velocity vs. time graphs. When given a word problem, students sketch the motion graphs that describe the problem (especially the velocity vs. time graph) and use it as a tool to solve for the unknown information. I didn’t get a chance to snap a picture of a student sample, but here’s a problem I did.
I really like this approach so far. When I’ve listened in while students were working problems, I hear very different conversations than in the past. I used to hear a lot of talk about the formulas with students focused on either formula hunting or trying to figure out hard and fast rules for when to use each formula. This week, I heard discussions about what the objects in the problem were doing, and what were the implications of that. It was great to see.
Another aspect I really like about this approach is how clearly students see the connections to calculus. I’ve had several students who took calculus last year say they are gaining an appreciation for why calculus is useful, adding a layer of richness to their knowledge. Even better, the students who are currently taking calculus feel like they are taking what they’re learning in calculus straight into physics class.
The big challenge I encountered this week is some of my students are struggling with the demands I’m placing on them. The graphical solutions require them to pay more attention to what is actually happening in the problem than approaches I used in the past. Students also completed some labs and open-ended worksheets that required them to determine an appropriate approach to the problem at hand. As a result, students spend at least some time each class period dealing with confusion or struggling with a concept. I think this is a good thing, but a lot of students find this uncomfortable and wish the class had more direct instruction and traditional worksheets. Students are consistently getting to where I want them to be by the end of the class period, so I think I’m on the right track with the scaffolding I’ve been providing. What’s lacking is a growth mindset a’la Carol Dweck. Its time for me to re-read her book and work on explicitly incorporating strategies in my classroom to help students develop a growth mindset.
This week in physics was all about making sense of position vs. time and velocity vs. time graphs. Since I’m planning to have my students use the graphical solutions approach I learned form Kelly O’Shea and Casey Rutherford this summer, motion graphs will need to be second nature to my students. To make sure my students have motion graphs down, I’ve dedicated a lot more time to them than the previous physics teacher did. Based on the progress I saw this week, the time was well spent for most of my students.
The one group that grumbled a bit were my students who took AP Calculus BC last year. I already knew the teacher, Karen Hyers, works very hard to place math content in meaningful contexts and did some work with motion graphs in her calc classes, but I hadn’t really appreciated how thoroughly she covered motion graphs. My students who took calc with her last year easily recalled how to do just about everything I put in front of them this week. Around 1/3 to 1/2 of my students fall into this group, so next year I want to work on some strategies for differentiation to keep the calculus students challenged. The upside is several students commented they didn’t realize how connected physics and calculus really are.
There was also some pretty cool peer instruction that happened thanks to the calculus students. Most groups had at least one calc student, which means someone knew what the answer should be and I didn’t have to worry to much about whether groups would get there. However, because that person was another student, the rest of the group wasn’t afraid to question them and argue a bit before agreeing on the correct answer in ways that don’t often happen when a student is talking to a teacher. These discussions helped many of my students to actually understand the graphs, much preferable to simply memorizing what the graphs for certain cases should look like.
But the best part of the week? A student told me what’s hard about physics so far isn’t the content, its the way I’m making them think about it.