Showing posts with label modeling. Show all posts
Showing posts with label modeling. Show all posts
Jun 17, 2014

Physics Class Website Template

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The class website described here is one example of a successful site that seeks to maximize student access to useful resources while minimizing updates to the site itself. This website can be easily transferred to a site for use with another class, either by requesting a duplicate copy of the template site, or by applying any individual technique to a site that's already built.

This is the second year that I've made heavy use of a class website that attempts to host all the resources that students might find useful in the course. Next year I'll be moving on to a new school, and while I plan on taking the template for the site with me, I'm hoping that the current site can remain useful to folks that will be teaching the course I've taught this year. I figured I'd write a quick synopsis of everything that makes the website tick, both as a resource for teachers at my current school and anyone else who wants to use the site as a template. If the basic format of what I've described below seems useful, just contact me by on twitter or by email (josephlkremer at gmail) and I'll happily make a copy of the site for you! Thankfully, Google Sites makes duplicating sites extremely easy, so don't hesitate to ask if you'd like to use the template as a starting point.

Click here to see a template of the site I used with my Modeling-based Physics First class.

The real success of this site is in the simplicity with which I'm able to update content that's most relevant to students. As the class moves forward and students generate new ideas, I rarely have to make changes to the guts of the website itself to give them access to the information they need. The breakthrough here was to think of the website not as a repository for materials themselves, but as a central hub through which students access these materials.

(I apologize in advance that the post reads like an advertisement for Silicon Valley, but the details of specific software make specific brands quite unique. In the interest of clarity, I've advocated for some very specific solutions here, but if you have suggestions of alternatives please mention them in the comments!)



On the right side of the homepage, I've made a dedicated page for each unit/model, and filled it with a few useful links, photos, and videos. I've tried to make these pages full of useful and relevant materials, but I'm not sure how much my students use it at all... Most importantly, these unit pages make it easy for students to access any handouts from class whenever they need them, from their computer or smartphone.

To accomplish this, I create a folder in Dropbox for each unit, and save a PDF copy of every handout in these folders, unit by unit. On your main Finder (for Mac) or Home Directory (for Windows, right?), right click on this folder and click on "Share Dropbox Link". The "Public Link" for this folder will be copied to your clipboard, and you can paste it as a link to at the top of each unit/model page.

To make a new handout available to students, I just print a copy to PDF in the folder for that unit. To update a handout, I just write over the PDF file in that folder and the updates show up automatically. With this system, I rarely have to make changes to the website when I make small changes to handouts.

Thanks to Joe Morin for his Dropbox tip above - the old "Public Folder" sharing method I'd been using was outdated and much less convenient!


On the iPhone, Apple's "Photo Stream" provides a convenient way to share photos of whiteboards and lab activities from class in one consistent location. (If you know of a way to do this on other platforms, please let me know in a comment and I'll update this post.) To set this up for the first time, go to the Settings app, choose Photos and Camera, and turn on My Photo Stream and Shared Photo Stream.

To share photos from your class with iOS7, go to the Camera Roll, click Select in the upper left, and choose a few photos. Click the box and arrow icon in the lower left, then choose iCloud. The first time you set it up, make a new Photo Stream for the class you've chosen, and give it a descriptive name. After this, simply choose the appropriate stream to add more photos to the collection.

To make the Photo Stream publicly available online, you'll need to turn on the "Public Website" option. Go to the "Photos" app (not the camera, the app that's actually called "Photos"), choose the "Photo Stream" tab, and click the arrow next to the name you just created. Switch "Public Website" to "On", and share the link with yourself. This link can then be used as the permanent link from each section on the class website, under the "Class Photos!!" link. Click the pencil icon in the upper right to edit the page and change the links to your own Photo Streams.


The steps are the same in iOS6. Try this support page if you get stuck.

Students can access examples of whiteboards from their own section or others, and it's easy to separate sections from each other while giving students a chance to browse work from other sections as well as their own. My AP Physics class had 224 photos by the end of the year! I've also used the Photo Stream to post solutions (one by one) to practice problems for a "Rally Coach" Kagan Structure - one student is working on a problem while their pair coaches them through the solution while looking at a suggested solution online - using a smartphone or computer.



Skills Based Feedback (or Standards Based Grading as it's more commonly known) has been a crucial part of giving my students the incentive and autonomy to focus their attention where they need it most. I've used the class website heavily to make this information students need most easy to find. Skills are grouped in clusters, arranged by quiz (while I give a few tests throughout the year, new skills are almost always assessed first on a quiz). For each quiz, students have access to an "Extra Practice Sheet" for practicing those skills explicitly, as well as a suggested solution. Once a student has completed and checked their work on this practice sheet (and talked to another person about their work), they can submit a Google form that automatically sends me an email containing that student's "Extra Opportunity Request." I can prepare this reassessment for the student, and they can show their improvement on those skills.

The website serves as a hub for all aspects of this system. Students can see their current skill grades, download practice sheets and suggested solutions, and submit online forms to tell that they're ready to show their improvement, all from the "Skills and Extra Opportunities" section of the site.

Current feedback is updated similarly to handout in the unit sections, via Dropbox. (Instructions on how to create a public link can be found here.) The Skills Feedback link at the top of page itself goes to a public link for a PDF file called SkillsFeedbackSheet. By writing over this PDF, I automatically write over the file that shows when students visit this link from the page. Thanks to Paul Bianchi for sharing the Excel Spreadsheet that I use to make keep these skills grades organized. If you'd like more info on how this sheet is organized, drop me a line!

Extra Practice Sheets and suggested solutions for each quiz type, or group of skills, are also accessed via Dropbox public links, making it easy to update the files as needed without making any changes to the website itself. Unlike the files on the unit page, these have to be linked one-by-one, but if your skill groups stay consistent from year to year, this will only have to be set up once.

Extra Opportunity Forms can be submitted directly from the page. Setting this up for yourself will require first making your own Google Form (feel free to use this one as a template), then editing the page so that your own form is embedded in the page. Once you've created your form go to the Live Form page, and copy the link in the URL bar. While editing the page, scroll down to the form, which will appear as a grey box. Click on the Properties icon to the left, and paste the link to the form in the box marked "URL to content".

(NOTE: The size of the window is deliberately set so that it doesn't cut off the form when viewed on a smartphone. You may want to check that this size is working correctly when you set up your own page.)

One last Google Forms trick, for experienced users: I got sick of looking back at the form responses to see the details on each form submitted, so I modified a script to send me an email with the contents of the form whenever a student made a submission. This is pretty handy if you're getting a lot of forms! A tutorial on how to create this script can be found here, though I found that it took a little bit of troubleshooting to get it working correctly with multiple email addresses for different teachers.




There are a few other elements of the webpage that will have to wait for future posts, but I wanted to briefly describe how the "Contribute Online" section of the class website is structured. This year I've made a lot progress toward a long term goal of making class notes a more reliable and sophisticated resource for my ninth graders. In an inquiry-based class students simply can't rely on the traditional "write down what the teacher writes down" strategy of note taking, because so little of the important information is coming from the teacher. This section of the webpage became an important part of this, in conjunction with a published notebook I called a "Consensus Notebook." (more on this here and here)

For each unit/model in the course, I create a collection of collectively editable Google Docs, where each document contains a few discrete topics within each unit (BFPM 5: Force Pairs, BFPM 6-7: Components and Analyzing on an Incline), duplicated for each section of my class. Students contribute suggestions of useful notes, ask and answer questions, and post photos of relevant examples (often pasted in from the Photo Stream described above). I'll browse contributions every few days and make my own suggestions, or point out which suggestions I think are especially helpful or problematic. Since each student has an email address that's linked via Google Drive to the document itself, I can send a comment directly to the inbox of the student who wrote a post, asking students who wrote questionable or incomplete suggestions to revise or add to their previous work, simply by adding "+name@address.com" to the comment.

As the sections grow to include suggestions of various degrees of usefulness (to put it kindly!), students need to evaluate the suggestions to determine what's most useful for them. Students keep a paper notebook with the same hierarchical organization as the online documents. Each student individually combs through the examples and suggestions in each section, and decide for themselves what's important enough to write down in their own notebook. While some notes are taken in class, most of the reflection what information is useful happens outside of class, when students have time to think about their work, and identify which suggestions from the online doc they find most helpful to write down in their spiral bound paper copy of the Consensus Notebook.

_________________________________________________________________

I hope that this template can be a nice jumping off point for folks who might otherwise be reluctant to start a class website, and that the tips I've stumbled upon can help the savvier teachers improve and streamline a site that's already up and running!

Do you have any other suggestions of simple ways to make a website easy to use for both teachers and students? Do you have questions about the various aspects of the site described here? Let us know in a comment so we can get a conversation started!

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Feb 8, 2014

YouTube Frame by Frame

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I've been looking for a while for a way to watch YouTube videos frame by frame - to encourage rough quantitative analysis of videos directly online without loading them into a video analysis program like Logger Pro. I've had some success with encouraging students to measure position by putting a ruler directly on their screen - but until a few days ago it was quite difficult to get useful clock reading measurements from the YouTube player.


This exercise is MUCH more powerful now, thanks to a simple online app called RowVid, originally created by Calum EadieAndrew Ratomski and Jack Lawrence Jones at an Entrepreneur First Hackathon to help rowers analyze training and race videos. Since then, it has developed into general purpose player for frame by frame and slow motion playback of any YouTube video. When I first stumbled across the player, I got in touch with Calum by Twitter and mentioned to him that the player would be even more helpful for physics classes if it displayed the clock reading of the frame. He made this modification in a matter of hours - AND included in the display an estimate of the uncertainty of the clock reading! In a follow-up email, he mentioned to me that he's "keen to hear how it's being used and are very open to feedback from teachers on how to make it better. Get in touch by tweeting @CalumJEadie." This invitation is open to anyone, so please don't hesitate to make your comments and suggestions known!

A ruler on the screen is perhaps not as accurate as point-by-point video analysis, but it's also much less black-boxish. Students are forced to declare their own reference point and positive direction by placing the ruler on the screen. They see first-hand how to think about a "reference point" when the camera is moving along with the subject, and forced to think about what reference lengths they might use in the frame to scale their measurements to usable values. In other words, they have to everything that they have to do in real video analysis software, but they have to do it by hand - and thereby come to terms with why these steps are important.

For example, one of the essential elements of the "Constant Velocity Particle Model" unit in a Modeling Instruction sequence is determining whether the analytical tools in the model are useful for describing the motion of an object. In my ninth grade class, I've shown students following video of sledders at Brooklyn's Prospect Park with the following prompt:

Choose a sledder in the video. Is the CVPM useful for describing the sledders motion? Collect and graph position data directly from the video to defend your answer with evidence. If you can, estimate the instantaneous velocity of the sledder at one clock reading.



Now I can link directly to the video in RowVid's frame-by-frame player, so students simply click on the link to begin analyzing the motion. Here's a picture of me collecting data on the motion of a sledder in the video. 



I chose somebody on a yellow sled who whizzes by at about t = 13s. When I assume that the sled is about 1.2m long, I get a constant velocity of 5m/s for the 1s time interval. Seem reasonable?



What applications do you see for frame by frame video analysis in your classes? Is analyzing "real-life" motion a theme in your class? What skills does this require that solving "constant velocity" problems from a book or worksheet don't address?

FYI - RowVid is currently working on a version of the app focused specifically on the Sochi Winter Olympics. Let's hope that there are some clips where the camera is steady!



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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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Sep 29, 2012

VideoLabs as Instructional Videos

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Today I made a submission to an instructional video contest/program called EDU Guru, sponsored by YouTube, Google, and KhanAcademy (sorry... not gonna link those). Being somewhat of an instructional video skeptic, I tried to use this as an opportunity to illustrate the value of a genre of instructional video that would be less at odds with inquiry instruction. The video I submitted is here:


There's also a companion video which shows the force meter readings for 65 mph, so a student who makes the prediction could then check it against actual measurements. I included a link down below1, but I recommend collecting the data and making the prediction yourself before ruining the surprise!

I've called it a VideoLab in conversations with friends. My hope is to create quite a few more of them this year. The relationship depicted here, of course, is less central to most introductory physics courses. We generally ignore air resistance precisely because it's messy, as the uncertainty in these measurements shows2. But I think it's actually pretty remarkable how even a system as gnarly and variable as this one can fit a simple model (as long as you give yourself some healthy error bars). In any case, the model of an "instructional video" that contains everything you need for collecting and analyzing quantitative data on a relationship could be quite powerful. It's no substitute for hands-on work, of course, but students who wouldn't otherwise have access to a proper physics lab (or simply missed class on lab day) could benefit greatly. Imagine if a whole slew of VideoLabs were accessible online... How 'bout it, folks? #videolab?

There's at least one precedent for using video this way, in the wealth of videos created and hosted by Rutgers Graduate School of Education (where I am currently a student!). Each of the videos on this site is designed to serve as part of a cycle in which students observe a phenomenon, form a hypothesis that explains what they've seen, consider the implications that their hypothesis might have for further observable data, then make a "testing observation" to see whether what's depicted in the video agrees with the prediction they made. The video I've made here is similar, but my goal is more to present students with data that can be analyzed quantitatively, in a style similar to the analysis of data collected during a paradigm lab of a Modeling Instruction unit.


I still plan on making a few more companion videos, including a qualitative "observation-oriented" video that could be used for asking, "What could we change? What could we measure?" before any instruments are shown. I have a lot of footage of stuff sticking out of my car window, and I want to make good use of it!! Maybe the next step is just to upload a bunch of raw footage set to a soundtrack of Empire State of Mind. Concrete jungle where dreams are made of... videos about air resistance! So that's how the line is supposed to end!



1 65 mph check video here!

2 I also did the same experiment with a flat disk instead of a plastic bag (a cd, as you can see from the picture above), but it's a lot less fun to watch and the numbers are no less messy. I'm planning on editing that together too though, for comparison's sake, when I get a moment.



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Aug 7, 2012

What We Talk About When We Talk About Physics First

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Any conversation about Physics First will tend to revolve around a few distinct motives, priorities, and assumptions. In order to communicate successfully about the benefits or limitations of inverting to a Physics First sequence, it's crucial to explicitly identify what we're bringing to the table in these conversations.

I recently watched online a recording of a fantastic talk given at the recent AAPT conference by Dr. Philip Sadler, this year's recipient of the Millikan Medal for "educators who have made notable and creative contributions to the teaching of physics." A very small portion of this talk is devoted to Sadler's characterization of what he called The Physics First Hypotheses: 1) physics knowledge can inform a study of chemistry and 2) chemistry knowledge can inform a study of biology. (A slide showing Sadler's wording is shown here.) This characterization of the potential benefit of Physics First is much narrower than my own, and it got me thinking about the motives, priorities, and assumptions that have come to be associated with an inverted science sequence. Sadler is explicit in identifying his own narrow interpretation of the term, but it strikes me that we rarely do a good job of clarifying exactly what we're talking about when we talk about Physics First.

The focus of this blog has been to investigate more closely the diverse mix of ideas that get lumped together under the Physics First umbrella, so it seems useful to try to summarize some of this diversity explicitly in a single post. In the paragraphs below, I've tried to characterize a number of ideas often linked to Physics First, along with a few personal thoughts and reactions about each. I'm sure I've missed some stuff here, so please get in touch (via comments, email, or Twitter) if you can suggest anything that should be on the list!

A. Physics for All: Many schools that have implemented Physics First offer physics as a required course for all ninth graders. Rather than a physics course taught only to self-selected, highly-motivated students, physics as a required course means that physics is taught to all students. Among folks who are passionate about physics this opportunity to reach more students is one of the most popular arguments for Physics First, but it requires conceiving of the physics course as a fundamentally different classroom experience. I'm convinced that this is an extremely good thing, but it makes some traditionalists nervous. Though most Physics First schools offer physics for all, some instead offer physics as an "Honors" option for students who have passed out of a ninth grade biology course (or have otherwise demonstrated a capacity for high-achievement in science). In my limited experience such courses tend to be taught in a more traditional, lecture-based style.

B. Physics Helps Develops Mathematical Proficiency: This is a popular motivation for Physics First in districts where student struggle to achieve high scores on standardized tests in math. These schools or districts can see an early physics class as an opportunity to provide relevant context to students' study of algebra and geometry, or even simply to teach more math earlier. This motivation has positive and negative aspects, of course. In some schools, the Physics First course has led to greater communication and cooperation between the science and math departments, and students have as a result come to see the math as a powerful tool for solving real-world problems. In other schools, physics teachers are asked to take time out of their study of physics to drill algebra problems in preparation for students' upcoming state-standardized test in math, or the physics curriculum itself is centered around around drilling traditional pencil and paper problems, devoid of scientific context.1

C. Conceptual Physics: In environments where improving performance on standardized tests is less of a priority, some ninth grade physics teachers teach a physics course that contains as little math as possible. Teachers of a Conceptual Physics course will select topics that require only rudimentary algebraic or graphical analysis. Paul Hewitt's "Conceptual Physics" text is often used as a resource in such courses.2 In my opinion, any good physics course should emphasize conceptual understanding over rote memorization or blind problem solving, but teaching concepts without computational context can be quite challenging. Answering a question like, "Why does it hurt less to fall onto grass than to fall onto concrete?" requires an abstract appreciation of the relationship for impulse (Fnet • ∆t = m • ∆v) that is significantly more sophisticated than that required to solve an algebra problem. In other words, removing math from a physics course doesn't always make the course easier. (The complexities raised here have been on my mind for a while, but they'll have to wait until a future post!)

D. Physics is a Foundational Science:
The classic biology uses chemistry and chemistry uses physics so teach physics first line of reasoning is probably the most common argument for inverting the BCP sequence, and in my opinion the least salient. Though Sadler's data are are only questionably connected to the Physics First discussion,3 they do show that content knowledge in physics (at the novice level of an introductory student) doesn't seem to translate to greater success in biology and chemistry. Whether this is because of too little crossover of content between these respective courses or simply because of a disconnect in representation and terminology, it's clear that simply having taken a physics course will not, statistically, impact an individual's success in a chemistry or biology course.

E. Inverting the Sequence Can Spur Pedagogical Change: My most recent post identified the potential for inversion to a Physics First sequence to bring about greater change within a science department. I argued that, since inverting a sequence necessitates changes to all high school science offerings, greater cohesiveness throughout the high school science curriculum can be achieved. A similar argument can be made within the physics class itself. A transition to Physics First is an opportunity to upset the status quo at a school, and can serve as incentive for teachers accustomed to using lecture-based instruction to try something different and potentially more effective.

F. Physics Helps Develops Scientific Reasoning and Critical Thinking Skills: Some physics curricula, such as a those built on ASU's Modeling Instruction or Rutgers University's PUM (Physics Union Mathematics), are based on the notion that students can only effectively learn science by doing science. The relationships, representations, and conceptual understanding in each unit of the course are built from the ground up by the students themselves, through analysis of empirical evidence and class consensus arrived at through discussion. Aside from being an effective method of teaching physics (no small thing, of course!), this approach instills in students the unique supremacy of empirical observations. In other words, students learn that evidence matters. Physics is especially suitable for a course in "evidence-based problem solving" because the systems and relationships we study can simultaneously be both gorgeously simple and puzzlingly counter-intuitive. Not all science teaching methods emphasize this skill, but some methods do, and a transition to Physics First presents a golden opportunity to transition to using such a method (see motivation/assumption E).

In my opinion, this last motivation is the single strongest argument in favor of both inverting a curriculum to Physics First and teaching physics to all students. By designing and analyzing experiments, students learn a scientific approach to problem solving - not just a figure out how far the ball goes type of problem solving, but a broader and more relevant figure out whether this pill can do what it says it does, figure out whether this politician can do what he/she says he/she can do, or figure out how to turn this rope into a rope swing type of problem solving. Students learn to always look for relevant evidence, and to be thoughtful and critical in interpreting that evidence. They learn that failure is an essential part of any problem-solving process, and that successful problem-solvers keep an open mind as they learn from their mistakes through repeated trials and errors. They experience first-hand the immense benefits and inevitable challenges of collaborative work. In designing a syllabus for a Physics First course with this emphasis, the question is not, "What physics content is essential for my students to know?" (As much as I hate to admit it, evidence suggests that zero physics knowledge is essential for leading a fulfilling life!) Instead, the question can be, "What physics content will be effective for developing critical thinking skills in my students?" What better time to start explicitly developing such skills than in ninth grade?

Sadler points out in his talk that a crucial piece of education reform is looking for evidence that indicates whether motivations and assumptions such as I've outlined here are statistically significant. Of course, it's up to teachers and education researchers to provide this evidence, and in the case of Physics First this evidence has been particularly slow in coming. I'm convinced that this lack of evidence is partly due to the great diversity and resulting disconnect between various implementations and advocates of Physics First. Sadler's data seem to refute the notion that familiarity with physics concepts promotes success in chemistry and biology (motivation/assumption D above), but I have not yet seen evidence to confirm or refute motivation/assumption F.4 In advocating for Physics First, it's not enough to point to decent FCI gains in ninth graders as a reason for the switch, but with no consensus of priorities within the Physics First movement it's hard to figure out where to point. I'm hopeful that a synergy between progressive teaching methods like Modeling Instruction and the Physics First movement can provide direction toward the motivations I've advocated for here, but until we see some real numbers we'll just have to call it a hunch...


1: There is a subtle distinction to be made here. Students drilling quantitative problems involving graphs and algebra can often look similar to students using these same graphs and algebra as tools to solve a scientific problem or make a prediction. In some curricula intended for use with ninth graders, students might even develop those "drilling techniques" through small group and whole class discussions, somewhat similar to a scientific inquiry process. The difference, however, is in the students' motivation for doing this work - whether they're doing math for the sake of getting through the worksheet, or for the sake of building more sophisticated conceptual understanding. The best way to tell these apart, I'd say, is to look at what happens before and after the graphs and algebra: are students collecting data about a situation, then using the analytical techniques they've developed to make, test, and revise predictions, or are they just doing more algebra?

2: Paul Hewitt has said that he originally intended Conceptual Physics to be used with ninth graders. His publishers, he claimed, refused to promote the book as a Physics First course, since so few schools taught Physics First. Therefore, various different editions of the book have come to be used in courses for a variety of age levels, from middle school to undergraduate university students.

3: Sadler says in his talk, "We needed large numbers and there aren't large numbers of people who do Physics First. So what we looked at was how much of each of these sciences kids took in high school, and then used it to predict their college grades in these other fields." Though this approach may measure the conceptual connections between high school science courses and university level courses, it doesn't seem to me to be all that relevant to the potential benefit of Physics First.

4: I don't really know what we might use as an effective measure of gains in the rather ambiguous area I've identified as my primary focus, but I'm looking for something. A pill-purchasing or rope-swing-construction pre/post test doesn't really seem like the right way to go, so if you have suggestions, please include them in the comments below!

PS: Tim Burgess' comment below should link to the following page - a great wealth of physics first research.
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Jul 30, 2012

Modeling Physics First for Modeling Chemistry

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A Physics First course based in Modeling Instruction provides an opportunity to rebuild a science curriculum school-wide, with stronger conceptual connections across subject lines and a more cohesive high school science experience.

As I mentioned in my latest post, I just finished a Modeling Instruction workshop last week, and my head is still buzzing with new ideas on physics teaching. Some of the other workshop participants are lucky enough to be attending the 2012 AAPT Summer Meeting in Philadelphia. Due to some extremely poor planning on my part (misinterpreting the "6" in the advance registration deadline date to mean July for one... doh!), I won't be attending the conference itself, but since I've got a few friends down in Philly that I haven't seen for a while, I decided to take a short pilgrimage to the City of Rocky (and say hello to some physics teachers while I'm down there, of course!). In any case, I wanted to make a plug for a poster presentation (tonight, Monday 7/30, at 8:30 at the Houston Hall Bistro) by one co-leader of our NYC Modeling workshop, AMTA President Mark Schober. The poster is titled, "Physics Education Through the Lens of Chemistry Education," and its focus is on examining the benefits of Modeling-based Physics First as a foundation for larger transition within a science department.

I visited Mark's school last spring, and sat in on both some physics and chemistry classes taught to Sophomores and Juniors, respectively (Mark's been advocating for a shift in sequence to full Physics First, rather than the rather unique BPC ordering currently in place, but this transition may take some time to implement.). This past year was Mark's first at the school, and although the chemistry classes have been taught by Modelers for some time, Mark is the first teacher to teach physics using exclusively a Modeling method. In the physics class I saw, Mark began with some discussion about a test on the just-completed circuits unit, in which students got into a heated discussion about a question about a classic circuits puzzler similar to arrangement shown here. Mark gave students time to discuss their various solutions, and gradually the students who had struggled with the solution came around to better understanding. After this discussion, Mark moved on to whiteboarding Worksheet 1 of the Models of Light curriculum, which develops some basic properties of electromagnetic radiation. (The basics of this curriculum were nicely summarized in a presentation given by Kofi Donnelly at EdCampNYC 2012. A screencast of this presentation can be found here.)

Earlier that day, I sat in on a Modeling-based chemistry class where students were studying solubility. In addition to playing around with an awesome PhET simulation on solubility of salts (shown here), they had just completed a lab in which they used a conductivity probe to investigate the change in solubility as different substances were mixed into a sample of distilled water. While students were preparing whiteboards on their results from this lab, I had a chance to chat with a few groups, and it was obvious to me that each student understood clearly that conductivity could be used as evidence of a presence of free ions in a solution. Interestingly, however, no student I talked to could articulate why this connection was valid. That is, when I asked them to tell me what they knew about conductivity, they told me about electrons moving in a wire, through bulbs, etc. When I asked how this might be connected to the conductivity of a solution, they were stumped.

I'm not so sure that understanding how a conductivity probe works is essential knowledge for your average high schooler (I'm pretty sure it ain't...), but I was struck with the disconnect that existed from physics to chemistry for these very bright students. This, it seems to me, is exactly the focus of Mark's poster presentation. Beginning a high school science sequence with a Modeling-centered physics course in ninth grade can create a foundation of knowledge, language, methods, thinking skills and representational tools that can be called on (and built upon further) throughout a student's high school science classes. Furthermore, a constant conversation between teachers in different subjects through this transition and beyond can help build courses that emphasize the interconnectedness of concepts in science. The students in this chemistry class had taken physics, but not through a Modeling approach. While I wouldn't necessarily suggest that a Modeling curriculum would have better prepared these students to infer that a flow of ions must be responsible for the "conductivity" they measured, I do certainly think that better consistency between courses could have helped students to connect these concepts. Similarly, representations developed in the Models of Light unit could be used with representations of energy quanta developed the in chemistry class to build a more nuanced understanding of photosynthesis in Biology class the following year. As the Modeling method expands to include more resources in chemistry and biology, a transition to Modeling within a department has increasing potential to encourage this continuity.

I may be putting words in Mark's mouth, so please go talk to him in person at the Houston Hall Bistro tonight (Monday) at 8:30!!
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Jul 26, 2012

Notes on Consensus

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Tomorrow is the last day of our Modeling Workshop here in NYC. Everyone involved, from the workshop leaders to the participants (Big digital shout out to @elbee818, @jsb16, @d2thelhurst, and @fernwig!) have been amazing, and to say that I'm going to miss hanging out with these folks all day long is a gross understatement. On the bright side, though, looking back through my notebook on the train ride home today got me chomping at the bit to spend some much-needed alone time working out how I'll be putting this stuff to work with my ninth graders in the fall. As anyone who's completed a workshop has seen, Modeling Instruction is a method, not a curriculum - the worksheets and activities used in any workshop are meant to serve only as a starting point for applying the method to your student population. As I've mentioned before in this blog, it's a fascinating experience to leaf through other Modelers' revisions of activities, and take inspiration for what to include in revisions of my own.

One thing that came up a couple times in our workshop discussions was the role of note taking in a Modeling course. In a classroom that's using a Modeling method, students build all knowledge through consensus. This consensus emerges slowly as students struggle  collectively to interpret empirical observations of a unit paradigm lab, present solutions on a whiteboard, and ask questions about these solutions of their peers. Flashes of insight will come at unexpected moments, often when the class is at its most exciting and engaging, but a more nuanced understanding of the complexities of a model must be built gradually over many days. It seems to me that only the most sophisticated note takers will emerge from a lab or whiteboarding session with detailed records of the knowledge developed during that class period. Students new to Modeling are suddenly asked to think about science in a radically new way, and (by necessity to the inquiry process) often denied access to the resources that they've come to rely on during their previous years as a science student. Sure, some teachers pass out a textbook, but these books turn out to be more useful for building inclined planes than for working through most worksheet problems or lab practica... For ninth graders in particular, this whole new ballgame begins on their very first day of high school, simultaneous to a transition that already induces utter panic. It's my hunch that some minor restructuring of worksheets and other Modeling curriculum resources can go a long way in helping younger students get the most out of this complex process of knowledge-building.

When I was teaching Physics First in a "lab, lecture, & discussion" format, I developed a system of handouts to try to provide students some hierarchical structure for their class notes. (A description of these Notes Outline handouts was published in the "For the New Teacher" column in The Physics Teacher in September of 2011, and you can find an old blog post about my approach here.) Through these handouts, I felt I succeeded in providing a consistent and reliable resource for students in a class where very little emphasis was placed on textbook readings. As I've delved deeper into Modeling Instruction, I've become more convinced that providing some similar structure is crucial to helping ninth graders succeed in a class with such a strong emphasis on higher-order thinking.

I recently revised a few worksheets on force diagrams (click to view, then click on the "Print" icon in the view to download: 1a, 1b, 1c, 2), designed to be used at the beginning of a Balanced Force Particle Model unit with ninth graders. At the end of each of these documents, I've included a blank box labeled Notes on Consensus. In this box I've placed one or two very general questions that are directly relevant to the content of the specific worksheet (I've included one example to the right, mostly just to fancy up my post with a picture... Check out the worksheets themselves to see the scope of the prompts I'm suggesting!). In using these handouts, I plan to call attention to these Notes on Consensus prompts at the beginning of the whiteboarding session for a given worksheet. At the end of the session, I'll direct students to them again with language like, "Remember, it's your responsibility to write down anything that you might need in order to answer this question on your own later on. Can anyone offer suggestions about what would be helpful to include in these notes?" (From my experience with ninth graders, it's necessary to devote verbal cues and class time explicitly to this process.) As the course progresses, I plan to remove the prompts from the Notes on Consensus boxes, and ask students to give their own suggestions about what questions they think should be the focus of their notes. By isolating the most sophisticated and personalized form of note taking in these Notes on Consensus sections, I hope to provide a forum for students to both practice note taking explicitly and construct useful resources for developing content understanding over time.

The idea of prompting students to record notes on class consensus is far from new. Debbie Rice, a co-developer of a collection of Modeling materials designed for use with ninth graders, told me in a phone conversation that if teachers aren't explicitly drawing out class consensus from work done, then they aren't doing true Modeling. On the Modeling Instruction revisions of handouts to accompany Melvin Steinberg's excellent CASTLE curriculum (downloadable from the "Legacy ASU Modeling site"), most worksheets include a blank space marked "Consensus." However, such direct prompts are by no means the norm in most Modeling resources I've seen. Most Modelers encourage students to record corrected solutions to worksheet problems somewhere in the space provided, but I'm not sure that this alone sends the right message about the role of worksheets in the consensus-building process. As a Physics First teacher pointed out after looking over my revisions, placing Notes prompts on the worksheets themselves illustrates explicitly to a student that "the worksheets are a learning process on par with the lab activities... Ninth graders need a clear understanding of when they're expected to be building knowledge and when they're demonstrating knowledge." Furthermore, having specific conceptual targets for a whiteboarding session can help novice Modelers, since "a teacher can pace discussions better when they know they need to uncover certain consensus points by the end of the period."

In thinking about the value of inquiry, I've always wrestled with the degree to which "less is more." That is, when students are building knowledge for themselves, how much top-down scaffolding is too much? For example, it's become strikingly clear to me through this workshop that worksheet problems must be sufficiently ambiguous or open ended to allow for a variety of relevant interpretations. I'm very aware that providing Notes on Consensus prompts will put limitations on how a given worksheet or lab can be interpreted by students, and that this may seem in opposition to others' visions of true modeling. Indeed, one teacher's response to the Notes on Consensus format on these worksheet revisions was more along the lines of a general template for "whiteboarding notes" that includes separate spaces for recording points of confusion and similarities and differences with other groups' whiteboards, but no content-specific prompts. At this point in time I'm convinced that the content-specific prompts will be useful, but only time will tell.

In any case, it's clear to me that there is value to including consistent reflection activities throughout every step of the Modeling cycle. If students learn better note taking skills in the process, that's all the better! I'd love to hear any comments that YOU have on either the Notes on Consensus format, or the specific worksheet revisions I've posted here. If you end up introducing similar modifications to the curriculum resources you use, please, please send 'em my way!!


PS - A huge THANK YOU to Leah Kanner Segal and Lucas Walker for their feedback on the collection of materials I've posted here!

PPS - If you want the MSWord files of the PDFs I've posted, just ask! They're revised versions of the 2010 Modeling materials (revised by Mark Schober, one of the co-leaders of our workshop!), which are available on the main AMTA site, but I've included some fancy new pictures that you might feel like using.

PPPS!! - Speaking of which, those amazing cartoon hands in the worksheet revisions are drawn by cartoonist Jamie Sale. If you feel like trying to draw some hands yourself, Jamie will show you how to do it!!


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Jun 27, 2012

Concepts vs. Processes: Still More Thoughts on Khan Academy

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Until Khan Academy attempts to differentiate between concept- and process-based learning, Sal Khan's instructional videos will continue to stand at odds with inquiry-based education.

Khan Academy is in the news again! Or maybe it never left... Ok, ok, I'm sorry for contributing yet another KA post to the education blogosphere (This is my third already, and I'm far from the worst offender), but this stuff's been on my mind a lot lately!

Recently, two math teachers posted a critique of a Khan Academy video, thus stoking the flames of an endless debate over the educational value of instructional videos. This video critique, dubbed Mystery Teacher Theater 2000, or #MTT2K, has received a lot of attention, and even spawned a contest to create the best KA critique. I'm proud to say that I've made my own #MTT2K video, which is embedded below.* Though Sal Khan's response to this criticism has been encouraging, I'm concerned that much of the debate surrounding Khan Academy obscures a subtler examination of the role that instructional videos should and should not play in a "revolution in education."

A lot of the Khan-bashing that gets tossed around is focused on aspects of Khan's videos that are unclear, poorly presented, or downright incorrect. Unfortunately, plenty of the KA videos can be criticized in this regard, but it's far from the majority, and Sal Khan's positive response to the #MTT2K project made it clear that he recognizes the benefit of rooting out and correcting such mistakes. As for the the gaffs, some fans of KA have said that Khan's occasional typos and stumblings make him a less intimidating tutor, and Khan is generally showered with praise for the clarity of his explanations. The majority of comments posted below his videos reveal as much. But for my money, the most severe criticism of Khan Academy has nothing to do with the clarity, or even the accuracy of a given video. Within an inquiry approach, clear and accurate explanations are actually a threat to the learning process.

Now, I freely admit that plenty of valuable information-gathering takes place through methods that aren't based in inquiry. For communicating the ins and outs of some accepted process, the instructional video medium is a fantastic way to create and store decent explanations. When I want to know how to apply some obscure filter in a photo-processing application, I don't spend much time performing experiments to arrive at the technique by inquiry. I go find an instructional video on YouTube that was made by some 13-year-old!! But truly process-based tasks are a tiny fraction of the learning that we're asking of our students. The great fear about Khan Academy is that it encourages students to see everything they're learning - addition, multiplication, algebra, calculus, free-body diagrams, conservation of energy, or even analyzing the actions and impulses of human beings caught up in a momentous event - as process-based tasks.

Is it unreasonably picky to insist on the sanctity of the inquiry process? 30+ years of Physics Education Research suggest that it isn't... The human mind is notoriously excellent at fitting in new explanations between the cracks of the things we think we know already, just so we don't have to throw out the old stuff. In my own contribution to the #MTT2K project, I tried to portray this phenomenon at work.


Admittedly, Khan took on quite a challenge in attempting to lecture about acceleration, a topic rife with nuance and levels of partially-correct understanding. The voice-over by the "student" shows how the video reenforces many common preconceptions, including but not limited to:

   • equating a clock reading (denoted by t) with a time interval (denoted by ∆t)
   • equating the direction of velocity with the direction of acceleration
   • misinterpreting common units of acceleration (m/s2, or in this case, miles/s2)

Furthermore, Khan spends most of his lesson discussing unit conversion, a process-based task as fantastically mindless (and perversely satisfying) as painting a wall. Like wall-painting, it has to be done correctly, and a target instructional video could accomplish this instruction effectively if it wasn't folded into a lesson on acceleration. Indeed, Khan has made at least two videos (1, 2) that explicitly cover the subject of unit conversions, and together they've been watched over 200,000 times. Unfortunately, both of these videos ramble through the peripherally related topic of metric prefixes, fail to sufficiently demonstrate why multiplying by a "conversion factor" doesn't change the quantity represented, and do not contain examples of more complex conversions (How many m3/s are in a cm3/hr?), but these are subtleties compared to my main criticism of Khan Academy. We might be able to effectively offload to a video the task of teaching students to convert units correctly. (I couldn't find a video I'd want to use on Khan Academy today, but I might find it on Khan Academy someday.) However, there will never be a curriculum of instructional videos that builds up conceptual understanding of acceleration.**

There are more processes than just unit conversion involved in constructing a working model of acceleration, and instructional videos may have a role to play in students gaining familiarity with them. Using computer-graphing software is certainly one example. However, try to extend this list much further, and you see that making an explicit distinction between concept- and process-based tasks is pretty tricky. Is calculating the slope of a velocity-time graph process based? How about interpreting the meaning of this slope? How about linearizing a position-time graph? In any case, how can we tell if our video-curriculum has been effective? Purely process-based approaches to solving physics problems can be quite successful according to some measures, and assessments that truly discern correct conceptual understanding are a challenge to both develop and implement.

Luckily, our goal isn't to compartmentalize pieces of our curricula into "concepts" and "processes." The bottom line is that true learning requires students to actively make this distinction for themselves, and to approach solving new problems like a thoughtful human being, not a knowledgeable robot (damn those 100% success rate robots...). If this distinction is to be made by students, it has to made by teachers first, whether they're in person or online. So far, Khan Academy hasn't shown an interest in exploring this.*** Until they do, Khan's videos will continue to stand at odds with inquiry-based education.


*Though I made my video before I knew that there was going to be big prize money involved, it's fantastic that other teachers now have some more incentive to voice their opinion. Bring on the competition! Show us what you've got!!

**Do I truly believe that no videos will ever contribute to learning something conceptually? A definitive claim like this would require a rigid distinction between concepts and processes, which is impossible and sort of pointless. Regardless, I'd suggest that any conceptual understanding that comes from watching a lecture is a result of concept "construction" by the viewer, not "instruction" by the lecturer. Just as we've seen with research into the efficacy of in-person lecture courses, we can't rely on this concept construction taking place in most students.

***As I mentioned in my last post about KA, I got a chance to ask Sal Khan a question about the role of instructional videos in an inquiry process. He was somewhat dismissive of the criticism, suggesting that evidence against the benefit of instructional videos wasn't evidence against the benefit of HIS instructional videos. Specifically, he used an analogy about sugar pills and cancer research to suggest that his pills might just be the cure for cancer.

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