{"id":989,"date":"2007-01-04T11:12:19","date_gmt":"2007-01-04T11:12:19","guid":{"rendered":"http:\/\/scienceblogs.com\/principles\/2007\/01\/04\/statement-on-teaching-1\/"},"modified":"2007-01-04T11:12:19","modified_gmt":"2007-01-04T11:12:19","slug":"statement-on-teaching-1","status":"publish","type":"post","link":"http:\/\/chadorzel.com\/principles\/2007\/01\/04\/statement-on-teaching-1\/","title":{"rendered":"Statement on Teaching"},"content":{"rendered":"<p>One of the standard elements of most academic hiring and promotion applications, at least at a small liberal arts college, is some sort of statement from the candidate about teaching. This is called different things at different places&#8211; &#8220;statement of teaching philosophy&#8221; is a common term for it, and the tenure process here calls for a &#8220;statement of teaching goals.&#8221; <\/p>\n<p>I spent hours and hours on this, because I get a little obsessive about written work. It did get read closely by the ad hoc committee, at least&#8211; at my first meeting with them, they asked a couple of questions about details of the statement&#8211; but I put enough time into it that I&#8217;m going to get some more use out of it, by recycling it as a blog post.<\/p>\n<p>This has been lightly edited from the original text&#8211; I converted the LaTeX formatting codes to HTML, and concealed some of the student names (I&#8217;m not quite sure why, as they&#8217;d be trivial to figure out, but it seemed like the right thing to do). I was advised after my reappointment review (in my third year) that I needed to make the statement more philosophical, so, well, here&#8217;s what I sound like when I expound on my philosophy of teaching physics:<\/p>\n<p><!--more--><\/p>\n<p><strong>Statement of Teaching Goals<\/strong><\/p>\n<p>My main goal in teaching physics, whether in the classroom or in<br \/>\nthe laboratory, is for my students to learn something about what<br \/>\nit means to think like a physicist. Physics, like any other<br \/>\ndiscipline, has a characteristic approach to dealing with the<br \/>\nworld, and an important part of the process of education is for<br \/>\nstudents to see what this approach is and how it differs from that<br \/>\nof other disciplines. The aim is not necessarily for all my<br \/>\nstudents to <i>become<\/i> physicists (though it&#8217;s always flattering<br \/>\nwhen some do), but rather for them to gain some appreciation of<br \/>\nphysics as more than a collection of trivia.<\/p>\n<p><strong>Classroom Teaching<\/strong><\/p>\n<p>When I teach our introductory classes, I state this goal<br \/>\nexplicitly on the first day of class. Most students who take<br \/>\nPhysics 120 and 121 do so to fulfill a requirement for some other<br \/>\nmajor, and they often view physics as little more than a nuisance,<br \/>\na collection of arbitrary formulae to be memorized for later use.<br \/>\nI point out to them that if the goal were only for them to<br \/>\nmemorize a handful of facts, there would be no reason for the<br \/>\nclass to be taught by a physicist. The real purpose of the class,<br \/>\nparticularly at a liberal arts college, is to learn something<br \/>\nabout the <i>process<\/i> of doing physics.<\/p>\n<p>I give them a four-step outline of this process: 1) first,<br \/>\nidentify some phenomenon in the real world that we want to<br \/>\ndescribe physically, 2) break that phenomenon down into simpler<br \/>\nprocesses, 3) find universal rules governing those simpler<br \/>\nprocesses, and 4) using those rules, recombine the simple cases to<br \/>\ndescribe the original phenomenon of interest. Following this<br \/>\nprocedure not only allows physicists to describe the particular<br \/>\nphenomenon we started with, but also allows us to make predictions<br \/>\nabout new and different phenomena based on the universal rules we<br \/>\nobtained.<\/p>\n<p>To choose an example from Physics 120, if we want to explain the<br \/>\nbehavior of an extended object flying through the air, tumbling<br \/>\nend over end, we can break that down into two separate behaviors:<br \/>\nthe motion through the air, which is treated as if all the mass<br \/>\nwas concentrated at the center of mass of the object; and the<br \/>\ntumbling motion, which is treated as if the object was fixed in<br \/>\nplace and rotating about the center of mass. By considering only<br \/>\nthe center-of-mass motion, we arrive at universal principles like<br \/>\nNewton&#8217;s Laws and the conservation of energy and momentum. By<br \/>\nconsidering only the rotational motion, we arrive at the idea of<br \/>\nconservation of angular momentum. Putting those principles together<br \/>\nallows us to explain not just the original example, but <i>any<\/i><br \/>\ncombination of linear and rotational motions.<\/p>\n<p>I try to organize my teaching around this process, especially in<br \/>\nthe introductory classes. One way I do this is to introduce new<br \/>\ntechniques by illustrating the need for them with some phenomenon<br \/>\nthat can not be easily described with previous methods. For<br \/>\nexample, when we move from discussing Newton&#8217;s Laws to<br \/>\nconservation of energy, I show the class a toy roller coaster that<br \/>\nmakes a loop. Using only Newton&#8217;s Laws, it is extremely difficult<br \/>\nto predict the starting height required for a car to make it<br \/>\naround the loop; this demonstrates the need for a new technique<br \/>\nand leads the way into the development of conservation of energy.<br \/>\nAt the end of the energy unit, I return to the roller coaster<br \/>\nexample and show the students that what was a nearly insoluble<br \/>\nproblem becomes almost trivial using energy methods.<\/p>\n<p>I also make an effort to introduce new formulae by placing them in<br \/>\na physical context. In Physics 121, rather than simply presenting<br \/>\nOhm&#8217;s Law as a new formula to be memorized, I explain how it can<br \/>\nbe understood as the result of the microscopic motion of electrons<br \/>\nin a solid. Starting with the well-understood behavior of a single<br \/>\nelectron in free flight, we can extend our model to the collective<br \/>\nmotion of large numbers of electrons. Making a few simple and<br \/>\neasily justified approximations, we arrive at Ohm&#8217;s Law with an<br \/>\nunderstanding of how it is rooted in simple physical processes. My<br \/>\ngoal is to help students see physics as a coherent whole, rather<br \/>\nthan a collection of arbitrary formulae to be memorized and<br \/>\nmanipulated.<\/p>\n<p>I try to carry this approach on through the major sequence, with<br \/>\nthe level of complexity increasing in the higher-level classes. In<br \/>\nPhysics 122, I assign several problems that require students to<br \/>\nmake explicit approximations in order to describe realistic<br \/>\nsituations. For example, they calculate the difference in time<br \/>\nbetween a clock at the equator and a clock at the North Pole, due<br \/>\nto the rotation of the Earth; the change is small enough that<br \/>\nstudents must make an approximation in order to solve it with a<br \/>\nnormal calculator. I have also started using Mathematica to<br \/>\nexplore problems that can only be solved with a computer, such as<br \/>\nfinding the allowed energy states of a finite square well<br \/>\npotential. For this activity, students need to determine the<br \/>\nboundary conditions that allow the computer to solve the<br \/>\nSchr&ouml;dinger equation for this system, and also develop a<br \/>\nprocedure for determining which solutions are physically valid<br \/>\nwavefunctions. Successfully finding the allowed energy states<br \/>\nrequires understanding not just the equations involved, but also<br \/>\nthe procedure for finding solutions and the physical meaning of<br \/>\nthe wavefunction.<\/p>\n<p>For my module of our advanced laboratory class (Physics 300),<br \/>\ntaught to junior and senior physics majors, I do not provide<br \/>\ndetailed step-by-step instructions for the experiment. Instead, I<br \/>\nask students to develop their own experimental procedure by<br \/>\nreading journal articles, as they would if they were working<br \/>\nscientists. Replicating and extending the work of others is a<br \/>\ncritical part of the practice of science, and this lab lets them<br \/>\nstart learning that skill.<\/p>\n<p>All of these tasks are intended to give students a better<br \/>\nunderstanding of what it means to think like a physicist. Not only<br \/>\nis this good training for students in the major, it also helps<br \/>\nstudents outside the major see physics as an active and vital<br \/>\ndiscipline, and not merely a set of mathematical formulae and dry<br \/>\nfacts. The best indication of success I have seen was a comment<br \/>\nfrom a student in Physics 120 in Winter 2005, who wrote, &#8220;I wish<br \/>\nI had taken physics earlier than this year so I could have taken<br \/>\nmore.&#8221;<\/p>\n<p><strong>Undergraduate Research<\/strong><\/p>\n<p>For students who <i>do<\/i> plan to major in physics, there is no<br \/>\nmore important part of learning to think like a physicist than<br \/>\nparticipation in research. Learning to do research is an essential<br \/>\npart of the training of a physics major, and one of the chief<br \/>\nadvantages a small college like Union offers is the chance for<br \/>\nstudents to work closely with faculty on research projects. My<br \/>\nexperience working on research projects while at Williams was one<br \/>\nof the most important factors that convinced me to pursue a career<br \/>\nin physics, and served as excellent preparation for graduate<br \/>\nschool.<\/p>\n<p>I view student involvement in research as not only an important<br \/>\npart of the research program, but an absolutely essential part of<br \/>\nour teaching mission. For this reason, I have supervised fifteen<br \/>\ndifferent student research projects in my lab at Union, including<br \/>\nfive senior theses (with two more students doing theses this<br \/>\nyear), and seven summer research projects. Three students have<br \/>\nworked with me in two different summers. I have co-authored one<br \/>\npublication with a student, Colin F., and two students<br \/>\nhave presented their results at national meetings: Colin F.<br \/>\nat the National Conference on Undergraduate Research in 2003, and<br \/>\nMike M. at the Division of Atomic, Molecular, and<br \/>\nOptical Physics meeting of the American Physical Society in 2006.<\/p>\n<p>Students have been involved in every phase of the construction of<br \/>\nmy laboratory. The lasers I use were designed and built by Pat<br \/>\nS. and Eric G.. Ryan M. designed and<br \/>\nbuilt a tapered electromagnet and assembled the main vacuum system<br \/>\nas part of his thesis research. Mike M. has assembled and<br \/>\ntested an entirely new system to develop a new type of atom source<br \/>\nfor future experiments and will continue that work for his thesis.<\/p>\n<p>These students benefit from their research experience not only by<br \/>\nlearning specific lab skills, but also by learning the process of<br \/>\ndoing physics. They learn how to design an experiment, how to<br \/>\nbuild apparatus (my student projects almost always involve some<br \/>\nwork in the machine shop), and how to collect and analyze data.<\/p>\n<p>They also learn to be more independent, as working on a research<br \/>\nproblem is different than anything they experience elsewhere in<br \/>\nthe curriculum. To paraphrase a colleague at Williams, the hardest<br \/>\nthing for new research students to learn is that research is not a<br \/>\nthree-hour lab. Even in our advanced laboratory course, students<br \/>\nknow that the experiment they are doing <i>will<\/i> work, if they<br \/>\njust follow the established procedure. With real research<br \/>\nproblems, experiments are much more open-ended, and there is no<br \/>\nguarantee that any given experiment will <i>ever<\/i> work. This<br \/>\nrequires a much more flexible and independent approach than a<br \/>\nlaboratory class, teaching research students not just how to<br \/>\nfollow a set procedure, but how to modify the procedure in order<br \/>\nto reach a desired goal, and even when to abandon the procedure<br \/>\nentirely in favor of a different method.<\/p>\n<p>These are skills that are absolutely critical not only for careers<br \/>\nin physics, but for almost any career imaginable. Some of my<br \/>\nstudents have gone on to graduate school in physics or<br \/>\nengineering. Others have gone on to professional school in another<br \/>\nfield, or directly into a career in industry. Whatever their<br \/>\nchosen career, I am confident that they are all well served by<br \/>\ntheir research experience. In the end, some of the most important<br \/>\nteaching I do takes place not in the classroom, but in my research<br \/>\nlab.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>One of the standard elements of most academic hiring and promotion applications, at least at a small liberal arts college, is some sort of statement from the candidate about teaching. This is called different things at different places&#8211; &#8220;statement of teaching philosophy&#8221; is a common term for it, and the tenure process here calls for&hellip; <a class=\"more-link\" href=\"http:\/\/chadorzel.com\/principles\/2007\/01\/04\/statement-on-teaching-1\/\">Continue reading <span class=\"screen-reader-text\">Statement on Teaching<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"1","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[8,13,7,54],"tags":[],"class_list":["post-989","post","type-post","status-publish","format-standard","hentry","category-academia","category-education","category-physics","category-tenure_chase","entry"],"_links":{"self":[{"href":"http:\/\/chadorzel.com\/principles\/wp-json\/wp\/v2\/posts\/989","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/chadorzel.com\/principles\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/chadorzel.com\/principles\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/chadorzel.com\/principles\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/chadorzel.com\/principles\/wp-json\/wp\/v2\/comments?post=989"}],"version-history":[{"count":0,"href":"http:\/\/chadorzel.com\/principles\/wp-json\/wp\/v2\/posts\/989\/revisions"}],"wp:attachment":[{"href":"http:\/\/chadorzel.com\/principles\/wp-json\/wp\/v2\/media?parent=989"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/chadorzel.com\/principles\/wp-json\/wp\/v2\/categories?post=989"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/chadorzel.com\/principles\/wp-json\/wp\/v2\/tags?post=989"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}