# Tag Archives: inquiry

## Video Analysis of a Bouncing Ball

Nothing earth-shattering here. I just wanted to share the activity we worked on today, which was an introduction to quantitative energy conservation by doing a video analysis of a bouncing ball. (Up until now, we were only doing qualitative energy pie charts.) Here are the handouts and the video:

The graphs from the analysis are just beautiful:

Lots to talk about in those graphs!

Feel free to edit and reuse the handouts as you see fit. They’re not perfect, but I figure it’s better to share them than having them collect dust on my flash drive.

PS: I’ll sheepishly admit that I don’t do the whole suite of paradigm labs in the Modeling unit to mathematically derive the energy equations from experiments. But we do some simple qualitative demos/experiments to discover what variables would be in those energy equations. We start by talking about how the further a rubber band is stretched, the more energy it stores. Then we launch carts into a rubber band “bumper” (i.e., big rubber bands from Staples and two C-clamps) to qualitatively see the energy stored.

In doing so, we see that the cart’s kinetic energy depends on its speed and its mass. (Or is it weight? What would happen if we repeated the experiment on the moon?)

For gravitational energy, we can repeat the experiment, but have carts rolling down an incline. Or use the rubber band to launch the cart up the incline. I’ve also dropped balls into sand and looked at the depth to which they get buried. Either way, we see that gravitational energy depends on height and weight. (Or is it simply mass? What would happen on the moon?)

For elastic energy, we already know it depends on the distance the rubber band is stretched. Then, we can swap out the rubber band in the bumper with a stiffer/looser one to see the effects of the spring constant on energy stored.

Then, after we predict what the energy equations might look like, I just give them the actual energy equations, or have them look them up. (Gasp! See Schwartz’s A Time for Telling, aka Preparation for Future Learning.)

So, modelers, what am I missing by not doing the full-blown energy paradigm labs? How do you introduce the quantitative energy equations?

## My TEDxNYED Session: Learning Science by Doing Science

Many thanks to the TEDxNYED 2012 crew, especially True Life Media, Basil Kolani, Karen Blumberg, and Matthew Moran for an awesome event. Be sure to check out the rest of the TEDxNYED 2012 talks.

## Disrupt This: My Challenge to Silicon Valley

Over the past few months, Audrey WattersDan Meyer, and Keith Devlin have been critical of Silicon Valley, edtech startups, and iPad textbooks which hope to “disrupt” education. In my opinion, the real stumbling block to meaningful change is students’ formal reasoning skills – analytical thinking that cannot be cultivated by pausing and rewinding video or playing Math Blasters.

Here are my 5 points:

1. Many of our students are transitioning from concrete to formal reasoning.
2. A significant barrier to learning for understanding is students’ own formal reasoning skills.
3. Formal reasoning skills (and thus learning for understanding) can be developing when instruction is structured around the Learning Cycle.
4. Silicon Valley and edtech startups have been focusing on (often inappropriately) just a small fraction of the learning cycle.
5. My Challenge to Silicon Valley: Help students learn for understanding by innovating around the rest of the learning cycle.

1. Many of our students are transitioning from concrete to formal reasoning.

Below are 3 reasoning puzzles, each followed by a video of college students attempting to solve the puzzle while explaining and discussing their logic. It’s a highly illuminating look at students’ reasoning processes.

I. The Algae Puzzle (Combinatorial Reasoning)

II. The Frog Puzzle (Proportional Reasoning)

III. The Mealworm Puzzle (Scientific Reasoning)

2. A significant barrier to learning for understanding is students’ own formal reasoning skills.

You’re probably thinking, “So, what? Just because Johnny can’t figure out all the possible combinations of algae doesn’t mean he can’t learn physics.” But the research strongly suggests that it does, even in interactive engagement classes.

In a previous post, I presented this graph from Hake’s famous six thousand student study:

As you can see, interactive engagement course outperformed traditional courses in learning gains as measured by the Force Concept Inventory (FCI). The FCI is the most widely used test of physics understanding. But why is there such a wide range of FCI gains among the IE courses and (not shown) among the individual students within a particular course? A study entitled “Why You Should Measure Your Students’ Reasoning Ability” (Coletta, Phillips, and Steiner) suggests reasoning ability is strongly correlated with physics success.

In the study, several different physics courses administered both the FCI (to measure physics gains) and the Lawson Test of Classroom Reasoning Skills (to measure formal reasoning ability). The Lawson test contains several items very similar the three puzzles above. Here’s what they found:

The data were split into quartiles based on the Lawson scores. The light green bars represent the average Lawson test score for each quartile and the dark green bars represent the average FCI gain for each quartile. There is clear correlation between reasoning ability and learning gains in physics. I’d wager this correlation extends to other subjects as well.

3. Formal reasoning skills (and thus learning for understanding) can be developed when instruction is structured around the Learning Cycle.

According to Piaget, intellectual growth happens through self-regulation — a process in which a person actively searches for relationships and patterns to resolve contradictions and to bring coherence to a new set of experiences.

In order to get students to experience self-regulation and further develop their reasoning skills, classroom experiences should be constructed around the Karplus learning cycle, which contains the the stages of EXPLORATION, INVENTION, and APPLICIATION. From Karplus’s workshop materials on the learning cycle:

EXPLORATION: The students learn through their own actions and reactions in a new situation. In this phase they explore new materials and new ideas with minimal guidance or expectation of specific accomplishments. The new experience should raise questions that they cannot answer with their accustomed patterns of reasoning. Having made an effort that was not completely successful, the students will be ready for self-regulation.

INVENTION: Starts with the invention of a new concept or principle that leads the students to apply new patterns of reasoning to their experiences. The concept can be invented in class discussion, based on the exploration activity and later re-emphasized by the teacher, the textbook, a film, or another medium. This step, which aids in self-regulation, should always follow EXPLORATION and relate to the EXPLORATION activities.  Students should be encouraged to develop as much of a new reasoning pattern as possible before it is explained to the class.

APPLICATION: The students apply the new concept and/or reasoning pattern to additional examples. The APPLICATION phase is necessary to extend the range of applicability of the new concept. APPLICATION provides additional time and experiences for self-regulation and stabilizing the new reasoning patterns. Without a number and variety of APPLICATIONs, the concept’s meaning will remain restricted to the examples used during its definition. Many students may fail to abstract it from its concrete examples or generalize it to other situations. In addition, APPLICATION activities aid students whose conceptual reorganization takes place more slowly than average, or who did not adequately relate the teacher’s original explanation to their experiences. Individual conferences with these students to help identify and resolve their difficulties are especially helpful.

4. Silicon Valley and edtech startups have been focusing on (often inappropriately) just a small fraction of the learning cycle.

Unfortunately, Silicon Valley has been dumping its disruptive dollars almost solely into the INVENTION phase and on the tail-end of the phase at that. It views education purely as a content consumption process and ignores the development of formal thinking and reasoning.

Remember, in the invention phase, “The concept can be invented in class discussion, based on the exploration activity and later re-emphasized by the teacher, the textbook, film, or another medium.” That’s Khan Academy videos, flipclass videos, iBooks, an similar technologies designed to present content via direct instruction. However, “Students should be encouraged to develop as much of a new reasoning pattern as possible before it is explained to the class.” Which means that this type of direct instruction should be as minimal as possible, because it robs kids from reasoning and making meaning. In other words, Silicon Valley is putting its energy into the portion of the invention phase that should be as small as possible!

Now let’s look at the application phase. There has been some development here as well, most notably in apps and exercise software which seek to gamify the classroom. But the application phase isn’t about getting 10 right answers in a row or solving problems to shoot aliens. Remember, Without a number and variety of APPLICATIONs, the concept’s meaning will remain restricted to the examples used during its definition. Real learning with understanding means students can reason about the concepts well enough to use them in new and unique concepts (aka transfer). Applications should require students to examine their own thinking, make comparisons, and raise questions. Great applications examples are open-ended problems, problems which present a paradox, and student reflection on both successful and unsuccessful problem-solving methods. Deep learning does not end when the Application phase begins.

5. My Challenge to Silicon Valley: Help students learn for understanding by innovating around the rest of the learning cycle.

Real disruption isn’t going to come from skill and drill apps, self-paced learning, badges, YouTube videos, socially-infused learning management systems, or electronic textbooks. Students must be continuously engaged in the learning cycle. We need to equip our students with the reasoning skills to learn how to learn anything. Focus on experiences in the exploration phase, meaningful sense making in the invention phase, and worthy problems in the application phase.

But, in reality, we only have ourselves to blame. It shouldn’t come as a surprise to us when students can’t think — the status-quo in education has been to spend most of our time on content delivery while robbing students of exploring and reasoning opportunities. And current edtech trends aren’t fixing this problem; rather, they are making it easier to make the problem worse.

To be fair, a few “good disrutptions” have occurred in the other phases of the learning cycle. Motion detectors allow students to “walk a graph” so they can easily explore position-time and velocity-time graphs. GeoGebra allows students to explore and play with geometry and functions quickly and easily. PhET simulations allows students to conduct open-ended planetary orbit experiments that would be impossible in real life. And VPython programming gets students to apply what they learned to write their own simulations and visualizations.

So when presented with the next great edtech “disruption,” ask yourself: has this innovation actually changed how student think about math and science concepts? Or has it just allowed students to get a few more questions correct on the state exam?

The next two articles:

• “Promoting Intellectual Development Through Science Teaching” (Renner and Lawson)
• “Physics Problems and the Process of Self-Regulation” (Lawson and Wollman)

are found here: Module 11: Suggested Reading (Workshop Materials for Physics Teaching and the Development of Reasoning)

## New Prep, New Digs

The chemistry room I'll be sharing with 4(!) other teachers.

A quick update: Starting tomorrow, I’ll be picking up a section of Chemistry 2 (second semester conceptual chemistry). Our school’s conceptual science courses are split into semesters to make student and teacher scheduling easier. I usually have a section of conceptual physics or astronomy, but this year it’s chemistry.

There’s also no mandatory curriculum, so I am free to experiment. My plan is to implement the 3 modules about matter from the Operation Primary Physical Science (OPPS) curriculum. I’m really excited about it, especially since making my shopping list for the first module:

Hopefully no one will think I'm a terrorist.

Other things I like about the OPPS curriculum:

• Inquiry-based
• Structured around the learning cycle
• Emphasis on student-created models and evidence-based reasoning
• A detailed teacher guide and student workbook. (A must for a time-pressed teacher like me. I can tweak it next year if needed.)

I also plan on using the Thinking Science materials from Shayer and Adey (thanks to John Clement on the PhysLrnr list who is always talking about them). I’m going to do 2 pre/post tests: the Lawson Test of Classroom Reasoning Skills and an attitudinal survey (likely the CLASS, since that is what Carl Wieman has been using). I’m hoping to see some individual growth in these areas.

My chemistry class is also small — just 11 students. I’m aiming to get some real dialogue going in class and to leave detailed feedback in their journals.

The 3 OPPS modules (Nature of Matter, Mixing Matter, and Heating Matter) should keep us busy for most of the 3rd quarter. Not sure yet what we’ll be doing for 4th quarter.

Anyway, wish me luck! I’ll keep you all updated throughout the semester!

## Physics of Angry Birds Lesson on CUNY-TV

Many thanks to Ernabel Demillo and the crew of Science and U!

You can read more about how we use Angry Birds in class here:
Angry Birds in the Physics Classroom

## Meet a Modeler: Colleen Megowan-Romanowicz

Today’s guest post is from Colleen Megowan-Romanowicz, the Executive Officer of the American Modeling Teachers’ Association. It is the fifth post in a series which shares the stories of teachers using Modeling Instruction.

Colleen writes:

I am a physics teacher. I have been teaching for 25 years, and I have taught many other subjects, but my identity as a physics teacher is as firmly grounded in the texture of my being as my identity as mother, “leftie”, and redhead.

I entered teaching through “the back door”, when my first choice career, medicine, was no longer an option. In elementary school, I wanted to be president of the United States, in high school I was hooked on marine biology, but when I entered college in 1969, I was committed to pre-medicine. Four years later, in classic overachiever fashion, I not only had a bachelor’s degree, but a husband and two children as well. By age 23, I had given birth to my third child and come to the realization that medical school was out of the question. I considered nursing, but thought it likely that I would harbor secret resentment toward the doctors with whom I worked. Teaching seemed the only other practical alternative for someone with a biology major and chemistry minor, so back to school I went. A year later, when I completed student teaching I knew I had, quite by accident, found my calling.

Twenty two years ago I began teaching physics—not a trivial task for someone who had completed college physics 18 years earlier. But how hard could it be, to stay ahead of 12 seventeen year old girls in one section of high school physics? (I taught at a girls’ Catholic high school in Sacramento) I unearthed my old physics books, bought some new ones, and discovered what I had missed completely the first time around. Physics is the foundation. It is why chemistry and biology exist. It is both a context and a rationale for mathematics.

It was a life changing realization—my kids joked that it was like God’s voice from the burning bush. From then on, I wanted to become the best physics teacher I could be. I took classes and workshops. I gave classes and workshops. I discovered that to be a good physics teacher I needed to be a good mathematics teacher, a good cognitive scientist, a good linguist and discourse analyst, even a good philosopher. And by all accounts I was good. I had plaques and certificates to prove it. I grew the physics program at my high school and converted it to physics-first. We went from 12 students to over 170 (in a school with just under 500 students—all girls). But I knew deep down I wasn’t really that good. My students learned to solve tricky physics problems and they could get into good colleges, but they never did that well on the FCI.

In 1998 I discovered Modeling Instruction…another life changing experience. After my first Modeling Workshop at UC Davis (led by Don Yost and Wayne Finkbeiner…Mark Schober, our current AMTA president, and I were classmates in that workshop) I went back into my classroom thinking I finally had the key to really helping my students learn physics. Unfortunately things didn’t unfold quite as I had imagined. I was not brilliant. I struggled and so did my students, but even inexpertly implemented, I could see how much better modeling was at revealing what my students were thinking. The following summer I went back to Davis for my second Modeling Workshop and the next school year I did better (and so did my students). By year 3, I finally felt like I knew what I was doing. I became intensely curious about how and why modeling worked for my students. I read whatever I could get my hands on, but finally decided that if I was going to figure modeling out, I’d have to be systematic about studying it. I needed someone to guide my studies, and since I had met David Hestenes while I was at UC Davis and he encouraged me to look into a program in physics education research, I contacted him and asked if I could be his graduate student. He agreed.

Although I loved teaching at Loretto High School for Girls in Sacramento, ten years ago I moved to Phoenix, took the job of designing the mathematics and science program for the new Jewish high school (a physics first integrated science and mathematics curriculum), and began my graduate studies at ASU. My research interest was in the integration of physics and mathematics, the physics first sequence of instruction, and the ways in which student discourse shapes thinking and reasoning in physics. I completed the Physics Department’s Master of Natural Science (MNS) degree program in 2004, along the way engaging in the first of many classroom research projects in collaboration with three other teachers. We designed and tested a modeling instruction unit in special relativity. During this period I also began teaching the Leadership Workshop course and coordinating the action research component of the MNS program. Over the years I have mentored over 40 teacher action researchers through their required MNS research experience. In fact it was during a Leadership Workshop meeting one day I heard that a handful of teachers in the Advanced Modeling course who were concerned about the future of modeling instruction, had invented AMTA the night before over a pitcher of beer (or 2). I immediately took out my checkbook and wrote Patrick Daisley (another UC Davis modeling classmate, who still serves AMTA as treasurer) a check for \$25 to become one of the charter members of the organization.

In 2007, under the guidance of David Hestenes, I earned my PhD in Physics Education Research from ASU. My research was a study of whiteboard mediated cognition in four different modeling classrooms. After doing a year of postdoctoral research on embodied cognition in science education for ASU’s Arts, Media and Engineering program I took a faculty position in one of ASU’s colleges of education (we had 3 of them at the time) teaching elementary science methods. I secured funding for the Modeling Institute—a middle school STEM Modeling MNS degree program. Last summer I gave an invited talk and a demonstration of modeling instruction in Beijing. (They loved it. Chinese teachers want to learn modeling instruction.) In the fall I started writing grants in earnest to obtain funds to help scale AMTA up. To date I have written four grants. None have been awarded yet—I think perhaps the NSF reviewers are having a hard time wrapping their brains around a grassroots organization of this type. This spring I offered my services to the AMTA executive board as executive officer. When they took me up on it, I resigned my faculty position at ASU and accepted a part-time research position so that I could devote as much time as possible to helping AMTA “go big”. (I am fortunate to have the support of a loving husband who tells me I should do what makes me happy.) My AMTA position will not be salaried until I can land us some external funding.

Pedagogically, I approach teaching via modeling theory, and cognitively I am particularly interested in the phenomenon of distributed cognition and how a situated group learning experience ultimately distills into individual student understanding. I am also convinced that mathematics and science instruction can and should be integrated. I undertook this with good results for three years at the Jewish high school, and I built this curriculum design into the NSF-funded master’s degree program for middle school teachers. I hope that my work will enable modeling instruction to become self-sustaining and I would like contribute to large-scale curriculum integration in mathematics and science. At the very least, I hope that by having a foot in both the mathematics education and physics education camps, I can foster a dialogue and an ongoing relationship between the two communities that ultimately enriches both.

## Meet a Modeler: Fran Poodry

Today’s guest post is from Fran Poodry, the president-elect of the American Modeling Teachers’ Association. Fran teaches high school physics in Pennsylvania. It is the fourth post in a series which shares the stories of teachers using Modeling Instruction. Fran writes:

I was a physics major in college and I knew all along that I wanted to become a teacher.  I took all my undergraduate education courses at a small private liberal-arts college, where I learned many things that are now called “21st century education” which I find humorous. Since I planned to teach, a professor I knew (but not at my school) suggested I join the physics teaching mailing list, PHYS-L, and from there I learned about Physics Education Research.  I also got to know (virtually) Joe Redish, Dewey Dykstra, Priscilla Laws, and others.  I wound up working for Priscilla Laws for two summers, learning about Workshop Physics, Vernier probes and interfaces (remember the ULI?) and analyzing data from student surveys pre- and post-instruction.

I graduated with a BA in Physics and a Pennsylvania teaching certificate in 1992, and I have been teaching physics since January, 1993.  I taught for five and a half years in Philadelphia public schools. Jane Jackson recruited me for a modeling workshop when I attended a summer AAPT meeting at University of Maryland (having known me from my online presence), and  I took modeling workshops in 1997 and 1998. These workshops were at University of Wisconsin-River Falls and were led by Rex Rice and Dave Braunschweig. I still make Rex’s guacamole recipe—yum!

As with many, my life was changed by Modeling Instruction.  I felt like I had discovered the way I wanted to teach, I just hadn’t figured it out before.  Also, I was amazed by how much physics I learned at the workshops! Though I loved using Modeling Instruction, the situation in my school was taking its toll.  The large class sizes, under-prepared students, tragic events, and the bars on the windows were all hard to deal with.  I decided I had to leave Philadelphia or leave teaching.  I left the School District of Philadelphia in 1998.

After leaving Philadelphia schools, I have been teaching in various suburban districts in New Jersey and Pennsylvania.  I love my current school (where I am starting my 10th year), and I have great colleagues, but only one of my colleagues is also a Modeler (though we have four full-time physics teachers in my building).  I have used Modeling Instruction with kids in conceptual classes, honors classes, and in-between, and from a variety of socio-economic levels.  I have struggled to use Modeling with my AP students, since they have already (mostly) had a year of Modeling Instruction in their first-year physics class with my colleague. While I have enjoyed teaching mostly conceptual-level classes and AP classes for the past 8 years, I am looking forward to teaching honors-level and AP classes this school year, and trying out Standards-Based Grading.

I joined the AMTA board last year as Vice President, so am currently the President-Elect and I will be President next year.  I feel very strongly that the work of AMTA is vital for keeping Modeling Instruction alive and growing and funded, unlike previous worthy programs that were not self-sustaining (IPS, PSSC, Project Physics, etc). One way that to help this happen is through greater publicity.  Most science teachers in my district have no idea what Modeling is, and when offered a 2-hour introduction on an inservice day, only two teachers (out of over 40 high school science teachers) came to the session – the rest chose other sessions.  Not only teachers need to know about Modeling Instruction, the word also needs to get out to the politicians, the parents, and the voting public.