Showing posts with label ninth grade. Show all posts
Showing posts with label ninth grade. Show all posts
Feb 19, 2013

Practicing Struggle at Home and in Class

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Encouraging students to practice struggling has the potential to promote perseverance that can carry over into life pursuits unrelated to physics class. But the context in which this struggle takes place will influence whether students associate it with success or repeated failure, and this can have great implications for how they approach new challenges in the future.

Since I first began teaching, I've tried to make "practicing struggle" an important element of my classes. This was partly a matter of necessity, since concepts would sometimes take weeks to develop and students would have to cope with "not knowing" answers to some very central questions as we slowly worked toward more sophisticated understanding. When I came across Modeling Instruction, it seemed to fit in nicely with this emphasis. I'd interpreted the focus of Modeling to be on building physics understanding from scratch through experiments and analysis, and I knew that this would take a lot of struggle and failure along the way. Invariably, I assumed, this would mean plenty of learning from failure, as well as learning to fail, along the way.

I tried to emphasize this to my students again and again. After completing The Marshmallow Challenge on the first day of school, I posted the diagram on the right on the projector and we talked for ten minutes about what it could mean for our class. I included the diagram on a handout explaining my policy of standards-based grading. I taped a copy to the back of my gradebook, and I'd hold it up when new understanding was emerging from our conversation about a tricky new concept that no one had grasped the first time around. When I used a homework assignment to introduce for the first time a problem that required a new concept or technique, I emphasized that students' only responsibility was to TRY. Even if they didn't necessarily SUCCEED or LEARN much the first time around, we'd struggle in small groups and struggle as a whole class until we'd figured it out. But to my great dismay, most didn't seem to become any more comfortable with approaching new ideas in this way, even after months of practice.

I've long been convinced that Physics First is as much about teaching critical thinking and problem solving skills as it is about teaching physics, and perseverance through confusion and frustration is clearly a crucial part of this. I'm certainly not alone in focusing on how we might better develop such character-related skills. Some schools have gone so far as to issue character report cards to assess how these traits are developing, encouraged by psychologists' study of the predictive power of traits like "grit" on performance in and after college. By assigning homework containing material that students hadn't worked with in class, I hoped that I was giving students an opportunity to practice their perseverance, and thereby develop "truer grit." But morale among my students was quite poor much of the time, and the pace of the class has been extremely slow. For a while, students frequently expressed frustration that they never knew what to do on homework, that they were endlessly confused, that they couldn't tell when we reached consensus in class discussion, and worst of all that they couldn't even tell when their own thinking was on the right track.

Practicing struggle? Check. But it was clear that my students hadn't been benefitting from this practice as I'd hoped they might...

I have a colleague who, like fellow blogger Kelly O'Shea, is convinced that homework as it's traditionally assigned isn't effective. My colleague teaches two sections of the "Advanced" Physics First course, and rarely assigns required homework. Citing arguments by Alfie Kohn, he feels strongly that students should be free to do whatever they need to do outside the class to succeed, and free to make these decisions on their own. Kohn's arguments are indeed convincing, and my students' comments echo some of his conclusions precisely. In a 2006 article, Kohn wrote about homework:


It isn’t of any use for those who don’t understand what they’re doing.  Such homework makes them feel stupid; gets them accustomed to doing things the wrong way (because what’s really “reinforced” are mistaken assumptions); and teaches them to conceal what they don’t know.

However, many of my students in the "Regular" physics sections lack the perspective to recognize when they need more practice, or the maturity to prioritize this practice when it's not due the next morning. Required homework, if it's not graded for correctness, can provide some much-needed guidance and scaffolding of how one might spend time effectively outside the class. I agree with homework critics that busy work promotes a false sense of security (or worse), but for a ninth grader, total freedom to choose when and how to engage with a course can be quite crippling. My students were generally embracing the guidance I was trying to provide, but despite my best intentions it was clear this guidance wasn't nearly as effective as it could be. Rather than teaching students that struggle could be rewarding, valuable, and even enjoyable, I seemed to be teaching them to dread encountering a new idea for the first time.

In my simple sequence of 1) personal struggle, 2) small group struggle, 3) whole class struggle, the most confusing and difficult stage of the process has been taking place in an environment where a student can feel alone, insecure and vulnerable. In this context, individual struggle comes to be associated with fear, anxiety, and anger (the list goes on), all of which are detrimental to real learning. If my goal is to teach students to be comfortable with their confusion, this initial stage has to come in an environment they have a fighting chance of actually building confidence. Working with others in small groups is beneficial not only because more ideas are brought to the table, but also because students see others like themselves break through from confusion to understanding. But solidarity can cut both ways: students can band together to work together to puzzle through a new idea, or they can feed off each other's anxiety and confusion. This stuff doesn't make sense to anyone... Why should I even try? is a fire I've had to put out many times this year, but it's almost always come at the beginning of a class period, when students have all wrestled with a challenging new idea on their own the previous night.

This is not to say that students shouldn't be asked to struggle with new ideas on their own - quite the opposite. If struggle is going to be developed as an individual skill, students have to practice struggling individually. To some extent, this will happen with a well-designed practice assignment, where students have to apply and expand on work that began in class when tackling a new problem at home. Moreover, after students have practiced struggling "class first" for a few months (or more, depending on the students), they may build up confidence that can be directed toward working with brand new ideas on their own as well.

We want students to embrace and enjoy the process analyzing a tricky new situation in an inquiry-based physics class. Since the first stages of this process can sometimes resemble a game of pin-the-tail-on-the-donkey, it's reasonable to think that the teacher should be there to at least point them in the general direction of the donkey and put the tail in their hand, or that other students should be there to offer suggestions and cheer them on. I'm convinced that the ability to work through confusion and emerge with better understanding is a skill to be honed through repeated practice, and I've come to see that the early stages of this practice are crucial in the development of the skill. But if students are going to embrace the cycle of "TRY - FAIL - LEARN - REVISE - SUCCEED" they need to associate their struggle with success, not repeated failure. Otherwise, there's simply no incentive to bring themselves to new physics assignments again and again. Worse yet, there's no chance of building perseverance for life pursuits that will take much longer to develop than any physics concept.

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Jun 9, 2011

Modeling Instruction in California

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At an all-girls school in Palo Alto, California, I saw a wonderfully successful example of pure Modeling Instruction employed in the ninth grade. I also saw the long term result of this approach in AP Physics C Seniors that had taken the Modeling course as Freshmen, and the results were equally impressive.

Before I visited this school, I'd been eager to see a wider variety of the different facets of the Modeling Instruction approach. Most Modeling-based classes consist of a great deal of whiteboarding, and I'd seen a few different examples of this process in my previous visits. But data-collection and analysis are central to the Modeling experience, and I had yet to witness such an activity this first hand. Due to a slight scheduling difference between different sections of the class, I got to see a variety of different activities throughout the day, including a "paradigm lab" where students collected ticker-tape data on an object undergoing constant accelerated motion.

The teacher at this school has been using Modeling for 10 years. He was trained at a workshop held at ASU, where Modeling was developed, and has employed the method at two different schools since then. When he first came to this school in Palo Alto, he was able to tell the administration from the outset that he planned to teach a full year of inquiry-based instruction in the ninth grade, including both the Modeling mechanics curriculum and the CASTLE curriculum in electricity and magnetism. He is only physics teacher at the school, and this made for a smooth transition into Modeling.

Nearly every unit in modeling begins with a "paradigm lab," during which students design their own method of collecting data on the relationship between two variables. One paradigm lab that falls early in the year, for example, asks students to collect and graph data on the weights of various known masses, thereby illuminating the linear relationship between mass and weight. To begin the unit on accelerated motion, the girls I observed devised a method of using a ticker tape timer to measure the distance traveled by a cart on an inclined plane as time passed. The girls then graphed distance vs. time on a set of axes using simple graphing software. This activity in itself is by no means unique to Modeling, but the role of the teacher was less traditional. Throughout the experiment, the teacher gave no instruction as to how the data being collected might be interpreted. These were the first moments that the phenomenon of acceleration was being studied in the course, but the term acceleration was not a part of the discussion. Since the class begins the unit with this lab activity, any subsequent work done in the unit can refer back to the data collected by the students. Any understanding of the topic being studied is developed by the students themselves as the data they've collected and observations they've made are discussed in class. Nature is permitted to speak first, and to speak directly to the students, free from the filter of a teacher's explanations. The role of the teacher is to facilitate the relationship between the students and the data they've collected, rather than presenting "knowledge" outright. The students were quite at home carrying out this experiment, and some seemed to appreciate the immediate differences between these data and the data they had previously collected on constant velocity motion. More rigorous analysis of these data would take place throughout the rest of the unit.

In a different section of this course, I witnessed students working for the first time with a method of analyzing motion that had recently emerged from their class discussion: interpreting the area under a velocity - time graph. The idea that this information could be physically relevant was, of course, suggested by the teacher himself, but he left it up to the the students to confirm that this analysis was indeed fruitful. Some girls saw the implications immediately, but some were suspicious of or uncomfortable with the method, and made comments such as, "This is weird..." or (more interestingly) "I don't see why area is important. Is the thing traveling around within that area of the graph? I thought it was going straight." I took these statements as a sign of the students' expectation that in order to use this analytical tool in their physics class, they should understand why the tool is relevant to the phenomenon they have observed. In other words, students had to convince each other that the method was useful. The organic manner in which this tool was introduced pulled out into the open students' confusion about this complex tool very early on, rather than burying that confusion or relegating it to a simple and grossly inadequate, "Can you explain that again?"

Almost all units in the Modeling mechanics curriculum begin with a paradigm lab asking the question, "What is the relationship between ____ and ____ ?" There is great power in the consistency of this format, because students are always interpreting new ideas within the familiar structure of graph analysis. As this teacher put it to me, "The question is always the same, but the physics is always different." For students in this course, it's always relevant, when performing an experiment, to graph the data and attempt to interpret the graph. This experience forms their core understanding of what science is, rather than the experience of reading a textbook, listening to a lecture, or solving a good ol' physics problem. During the AP C class that I observed, students three years older were asked to design a method to determine the relationship between the impulse on a cart (calculated as the area under a force - time graph of the cart as it's accelerated by a spring-loaded plunger, metal bumper, or even a ball of clay) and the change in momentum of the cart (calculated using a change in velocity, measured using one or more photogates). The structure of this lab was exactly the same as so many of the labs the students had carried out three years earlier in their ninth grade Modeling course. Likewise, students were charged with a similar task of interpreting the relationship between two quantities on their own. (The Fnet ∆t = m∆v relationship happens to be one of my favorites, as there are so many unbelievably great slo-mo videos to watch as part of a discussion about the idea that "more time can mean less force": !!! !!! !!! (sorry for the advertisement on that last one...))

This emphasis on analyzing a new relationship directly is not the only thing about Modeling that I've found impressive, but it seeing it first-hand on this visit was a new experience for me. The possibilities for expanding this format outside the scope of modeling were immediately clear to me, particularly through the lens of IB Physics, which I taught for three years. IB science places special emphasis on student-designed experiments investigating the relationship between an independent and dependent variable chosen by the students (relationships that my students studied include: the breaking force of a pasta strand as a function of time soaked in water, the resistance of a play-doh cylinder as a function of the mass of iron-filings mixed in with the play-doh, the launching distance of a trebuchet projectile as a function of counterweight mass). These experiments often yield unpredictable results that would never be found in a textbook, and students often experience great difficulty with the seemingly simple task of analyzing this new information. Using data-collection to introduce the fairly simple relationships that are a part of a normal introductory mechanics course, as the Modeling curriculum does, would certainly have improved my students' capacity to make conclusions about the more complicated relationships they encountered in these experiments!


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