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An Effort to Implement an Alternative Standards-Based Grading Scheme in Physics 564: Quantum Mechanics II

This past semester, I moved my Physics 564: Quantum Mechanics II course to an alternative grading scheme, representing my first real attempt at such a structure. This post is both a summary of my experiences and a reflection. A copy of the syllabus, with mid-semester modifications indicated, and a sample quiz are also available.

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Inkable Docs: A Nice Google Docs Accessibility Checker Tool for ADA Title II Compliance

As myself, along with most other public university instructors continue to work to implement the digital accessibility requirements of the new ADA Title II rules (the deadline for which was extended to April 2027 for large institutions), accessibility checkers are a great resource. While our campus IT team has installed PopeTech, a valuable tool, into our Canvas LMS installation, there is still a need for accessibility checkers for other platforms. Microsoft’s built-in checker is also good. What about Google Docs etc., however? Such a tool is critical for me as I host my syllabi in Google Docs so that I can easily share it with various interested parties including:

  • Students whose admission into the course is still in progress.
  • Students who are curious about the course either because they are “shopping around” or because they are already enrolled and want to get a head start before the LMS page becomes available.
  • Colleagues at other institutions who may be interested in my course.

After some searching I came across Inkable Docs which is an Add-on for Google Docs. I just tried it on my syllabus and was pleased with how well it worked. It identified most of the issues mentioned in the relevant Web Content Accessibility Guidelines version 2.1 Level AA and had AI-assisted suggestions to fix them. I was able to use the tool to bring my syllabus up to standard in about 2hrs and this includes the time I need to update my syllabus each semester anyway (new dates etc.).

Of course, this is neither a paid endorsement, nor a guarantee that this will completely meet the requirements, but I still found it to be a good tool.

Memorization in Physics

I just finished my unit on circuits in Physics 132 and, along the way, discovered a useful tool for helping biology students grasp the importance of completely understanding and memorizing a mechanism.

In physics, we often consider memorization to be a “dirty word.” We pride ourselves on being the discipline that doesn’t require much, if any, memorization. In fact, many physics instructors I know will say, “I don’t want them to memorize.” We provide equation sheets and other memory aids in many physics exams. Usually, this aversion to memorization comes from a reasonable place: I think the aversion to memorization ultimately comes from the idea that we don’t want students’ inability to recall certain facts to get in the way of the problem-solving skills we actually care about.

However, I’ve come to the conclusion over the last couple of years that this disciplinary cultural aversion to memorization has perhaps gone a bit too far. There are certain facts that you do just need to know in order to solve problems. Many points in the literature emphasize the importance of teaching and mastering conceptual understanding upstream of the problem-solving process. This is the entire motivation behind Eric Mazur’s introductory physics textbook and the main takeaway from Paul and Webb’s paper, which advocates the same approach.

If we therefore accept that conceptual understanding is foundational to problem-solving success in physics, then it follows that students must actually remember certain fundamental physical facts. This is relevant in my circuits unit, where I continue to use a series of questions I developed 15 years ago involving the physical processes involved in charging capacitors: consider the voltage drops along wires (you can’t consider wires to be ideal, resistance-less conductors for this exercise), how those voltage changes can also be viewed as electric fields, and how those electric fields exert forces on the charges already present in the metal thereby charges the capacitor.

While teaching this sequence this past semester, I had a sudden inspiration in class, which I acted on. I told the students, after we had completed the sequence, that this series of questions and the underlying logic therein was effectively the “Krebs cycle for capacitors,” and that they really needed to know these steps.

Using the phrase “Krebs cycle” truly seemed to resonate with the students. I saw many nods of understanding that I had not seen before, nods indicating that they understood the importance of memorizing the sequence. Moreover, there was a slight giggle in the room, so I asked, “Y’all just surprised that a physics instructor knows the Krebs cycle?” Several of them said yes. I think that this reference to a fundamental biological mechanism served multiple purposes in promoting authenticity. I used the language of biology to emphasize that we were talking about a mechanistic process similar to the ones with which they are familiar and have experience memorizing. Moreover, the Krebs cycle is foundational, and so calling the series of physics steps that underpin capacitor charging a “Krebs cycle” showed the students, in a biologically authentic way, the importance of what we had just discussed.

Now, of course, I don’t yet know the effects of this reference, but I’ll be watching in office hours over the coming weeks to see the number of questions coming in about the capacitor-charging process. Unfortunately, I don’t have a lot of notes with which to compare from prior years, but often this process results in a lot of questions during office hours. If most students now seem to have grasped the process, I will consider it a beneficial step. Even if there’s no change, the use of a biologically authentic phrase such as “Krebs cycle” is, I think, a useful tool when teaching introductory physics for life sciences.

A New (to Me!) Way of Using Graduate Students in an Apprenticeship Model

Within our department, there are graduate students who are interested in enhancing their teaching credentials either because they believe that such enhanced credentials will give them a leg up on the traditional academic job market, or because they see themselves ultimately pursuing a teaching focused career. Moreover, due to sabbaticals etc., our department sometimes needs graduate students to serve as the instructor of record for courses both during the standard fall and spring academic semesters, as well as during our summer and winter online sessions. While the 691G course I created for incoming for graduate students provides some introduction to the principles of active learning via the physics education research literature, there is no mechanism currently in place at UMass for such students to get additional formal training in teaching. To help meet this need, I shifted my TA usage, from primarily serving as a student resource in class and during office hours, to more of an apprenticeship model giving GTAs both an under-the-hood look at running a large-enrollment introductory course and experience in front of such a classroom. I specifically want GTAs to get experience in this particular environment as such courses are both generally part of the workload for instructional faculty and an experience that most early-career research-focused faculty lack. In this model, the GTA still serves as an in-class assistant, but instead of out-of-class office hours, they meet with me for two hours after each class to help with the logistics of running such a course and planning the next day’s lesson.

When graduate students have served as primary instructors for our department in the past, they often do excellently in front of the classroom. Their lectures are well thought out, the figures well designed, the problems carefully considered, and the exams fair and well built. Some of our graduate students have even explored some active learning and alternative grading techniques in their own courses. I believe this expertise comes from their many years both as a student and as serving as in class GTAs for courses at UMass Amherst.

However, almost all our graduate students serving as primary instructors have also stumbled with what I call under-the-hood management of such horses. For example, one postdoctoral scholar serving as a primary instructor a few years ago scheduled his night exams 4/6 PM to 8:00 PM. His rationale for this time slot was that the more common 7:00 to 9:00 PM was a bit late; he said he would not have liked to take an exam that late at night, and so it seems unreasonable to ask his students to do so as well. While I fundamentally agree with this reasoning, such a choice greatly increased the difficulty that this postdoctoral scholar had to deal with regards to exam administration. At UMass Amherst, the 7:00 to 9:00 PM slot is reserved for night exams. Consequently, exams scheduled during this time slot take precedence over most other university activities classes labs etcetera. In contrast, exams scheduled outside of this window have a lower priority than other university activities requiring the instructor who scheduled such an exam to give the makeup. While giving makeup exams in a small class of approximately 20 or so is not a significant challenge, the logistical complexity increases dramatically with class sizes of several hundred. If this postdoctoral scholar had engaged in some sort of deeper, more formal training with regards to teaching, then he would have known about this rule and could have made at least a more informed decision.

Another challenge many of our graduate students in teaching roles have come across, and one that I myself came across as a new instructor, is familiarity with the slew of active learning techniques that can be employed in a classroom of several hundred. While I discuss the importance of active learning in 691G, and demonstrate some techniques, many instructors, both new and experienced, are more reluctant to attempt such techniques in a large classroom format due to logistical concerns. Moreover, novice instructors who do attempt active learning techniques in the large lecture setting often give up after negative experiences. My own experience as an instructor shows that these negative experiences are often the result of issues with either: implementation, choice of activity, or trying to “shoehorn” an activity or technique with inadequate consideration of the instructional context. By observing class, GTAs learn the techniques of each technique. Through our two-hour after-class meetings, they are encouraged to ask questions about what they have observed to be better prepared to implement them in their own classrooms in the future.

To add further complexity, many, though certainly not all, active learning techniques in a large classroom environment require some application of technology. Flipped classrooms require an online homework system to help students be prepared and some sort of classroom response system for quizzing. Moreover, many aspects of running a large-enrollment class are much smoother with technology: effective LMS usage helps students navigate the course, asynchronous communication platforms help build community, and tools like 3-D printing can help create an equitable learning environment.

The apprenticeship model I have developed over the past year provides an excellent opportunity for GTAs to gain a deeper familiarity with these tools. GTAs in this new approach complete tasks such as writing quizzes in the Edfinity online homework system, managing LMS content, creating and facilitating teams in CATME, using the VEVOX audience response system, using mail merges to provide feedback to students, as well as using Excel to facilitate communication between these tools. While I do not expect my GTAs to ultimately use all these technologies in their future classes, at least not at first, I do hope that exposure to them all will give them confidence to address pedagogical challenges in their future courses with technology.

In addition to these technical details of active learning implementation and technological familiarity, I strive to teach the GTAs in this apprenticeship model the fundamentals of instructional design: both at the micro class level and at the macro course level. With regards to individual classes, my role as a member of the executive board of the MSP (our faculty union), requires me to miss a few classes a semester. After observing several weeks of class, the apprentice GTAs are in a great position to gain experience in front of a class covering for me. I work very closely with the GTAs in helping them prepare for their sessions. Not only do I work with them to prepare their slides and notes, but we also do a “dress rehearsal” in the room to ensure that they are comfortable both operating the room’s technology, and demonstrations, and to ensure that they are comfortable with the performance aspect. After their lecture, I ask the GTA to review the recording of class and use a protocol from Harvard (https://cepr.harvard.edu/files/cepr/files/l1a_teacher_video_selfie.pdf) to reflect on their performance and how they will improve in the future. I also provide feedback on their instruction based on the video recording.

At the macro course level, we discuss the basic principles of course design such as backward design and essential questions. The goal of the backward design discussion is to help GTAs see the utility of this approach and to convince them that one of the first tasks is to write exams. The literature is very clear on the effectiveness of this approach. However, many novice instructors, and even some experienced ones, approach course development from slides: the first thing they do after writing a syllabus is begin writing slides. While this is an understandable approach, going into the semester with a few weeks ready to go definitely provides a sense of relief, almost any instructor will, at some point in the semester, catch up to what they had developed prior to the semester’s start. The subsequent writing as one goes is generally sustainable unless there are other significant instructional tasks to complete, such as writing and administering exams. This argument provides a practical reason to backward design supplementing the best-practices argument.

Ultimately, I have been very pleased with this change in GTA usage from student-resource to apprentice. Not only does the apprentice model help our graduate students become better instructors in the future, but it also is more engaging. The student-resource model, by contrast, has always yielded mixed results: some GTAs are highly committed to the role, while others feel pulled towards other obligations. This model also has a benefit for the department of requiring fewer graduate TAs, a benefit particularly salient in the current funding situation. If GTAs are the primary source of office hours etc., then many GTAs are required. The apprenticeship model, by contrast, uses a single GTA per section with the student-resource aspect of office hours etc. served, often more effectively, by cheaper undergraduate TAs. In short, I definitely plan to continue using this approach I the future.

Some random thoughts on 131: a new way to look at math

While I am not currently in the rotation to teach 131, and probably will not be for some time, I still sometimes think about it. Frankly, it is nice to be able to just think without the pressure of having to teach it as the lack of pressure allows my mind to wander on the big-picture parts of courses in fun and surprising ways.

Last night my mind was wandering on 131 and I realized that there is another theme running through the course that I had not really made explicit to myself before: a new way to look at math. As you can see from the description of 131, the course braids several different threads. One of these is my general interest in the difference between math-in-physics and math-in-math (see the right column of the poster!). Another is the integration of computation. The insight from last night is that these, along with graphical analysis, are all aspects of the same goal: learning to use math differently than students are accustomed from their math classes.

  1. Writing equations corresponding to models of nature.
  2. Reading an equation to predict how systems will behave with changes of variables.
  3. Using equations (particularly differential equations) as “stepping rules.”
  4. Graphs as a mathematical representation.

While this is a neat insight, I am now concerned if there is too much in the class.

These are thoughts to keep pondering!