Thoughts on “Using Framing as a Lens to Understand Context Effects on Expert Reasoning”

After listening to this paper, a few things are interesting right out of the gate:

  1. The resource model of cognition hasn’t really propagated to biology yet.
  2. Two they point out that experts have learned to reason across disciplines using cross-cutting concepts. Could it possibly be that experts have gained this ability because they were exposed to it in different contexts? I don’t think this is true but it’s worth thinking about the fact that it could possibly be.
  3. I like the idea of engineers as existing in the middle of the idealized/real-example continuum with physics on the idealized end and biology on the other.

Francis Bacon as Applied to Physics 131

I just finished listening to a podcast lecture about Francis Bacon and his ideas on philosophy of science in the Renaissance. His distinction on the importance of inductive reasoning as the foundation of science as opposed to the concept of deductive reasoning that was so critical to the Scholastic epistemology got me thinking about how we teach physics and what part of physics education might be best for lecture or for lab. In the lecture part of my class, we use a deductive method: students are given facts and then asked to apply those general rules like Newton’s laws to specific situations and use that deductive reasoning to gain insight of specific situations. This is someone analogous to Medieval natural philosophy: in medieval natural philosophy the axioms and conclusions of figures such as Aristotle or taken as being axiomatically true and only deductive reasoning was required to apply those fundamental Universal Concepts to particular situations.

Now, of course, the concepts that I’m teaching in my physics class, such as Newtonian mechanics and the like, are grounded in inductive approaches hypotheses and experimental verification but they’re presented to my students as being true axioms that they have to apply deductively. However, it’s clearly important for students scientific education that they also become familiar and adept at the inductive reasoning that is truly the philosophical underpinning of modern science. Where should students get this understanding, and this experience?

My thought after listening to the series of lectures, was that perhaps this is what the lab is fundamentally for in a physics class: the lab provides an excellent environment for students to engage in these inductive processes of model building making predictions testing predictions falsifying claim these types of skills. Now, we already do a lot of this in the 131 labs that Chris Ertl has been developing. However, I feel that this insight into the contrast between inductive and deductive approaches provides a new lens through which we can look at the different types of instruction that occur in a lecture and lab portions of a Physics course. Moreover, it gives us an opportunity to actually talk about these differences in logical approaches with our students and do some of that, what I consider to be critically important, instruction into the fundamental philosophy of science.

From my collaborations with colleagues in the integrated introductory life science Mutual mentoring group one thing that became quickly apparent, was that throughout introductory biology lab introductory physics lab and introductory chemistry lab no one was explicitly teaching the scientific method. Nor, were they teaching some of the fundamentals of the philosophy of science. In contrast, this framework of thinking about lecture as essentially deductive instruction and lab as inductive instruction provides an excellent basis from which to actually begin talking about these important ideas regarding the philosophy of science. It makes that transition natural. I’m curious, as I begin to develop labs for our first semester majors for fall 2024, to think about this framework. Moreover, I would love to talk about this with somebody at the upcoming American Association of physics teachers meeting in Boston this summer to get additional insights. Particularly, from those folks who have spent careers thinking about effective methods for Laboratory instruction.

In addition to this particular new perspective on what could potentially be the fundamental logical underpinnings differentiating lecture versus lab instruction, this entire experience has also added to my growing appreciation of the importance for all teachers to read widely. Only by reading across disciplines do we get these new ideas and new perspectives of ways to approach and think about are disciplinary based instruction. Moreover, I think that those of us who are teaching faculty are in a unique position to this trans-disciplinary approach. We are not subject to the “publish or perish” pressures that so many of our tenured colleagues are subject to. We often have the freedom to read and think a little more broadly within our official positions. In short, it’s another experience in intellectual humility that other disciplines, in this case the history of philosophy, can provide insights that inform science instruction.

Reflecting on an observation of 2nd and 3rd year life-science students’ definitions of scientific models

This semester, Physics 131 is back to a 75-mintue twice-a-week schedule after some the return to in-person learning necessitated experimentation with 50-minute thrice-a-week versions, and we have confirmed what was stated in Michaelsen et al’s book on Team Based Learning: longer course sessions are vastly superior in this mode. Students have more time to explore more problems without interruption. This was manifest yesterday when I had more time to let students explore the definition of a scientific model, the results of which yielded some interesting insights.

Continue reading Reflecting on an observation of 2nd and 3rd year life-science students’ definitions of scientific models

An Important Paper on Math-As-Language

Redish, Edward F., and Eric Kuo. “Language of Physics, Language of Math: Disciplinary Culture and Dynamic Epistemology.” Science & Education 24, no. 5 (July 1, 2015): 561–90. https://doi.org/10.1007/s11191-015-9749-7.

I recently finished this paper on the differences in the use of mathematics between physics and mathematics as viewed from a linguistics/semantics standpoint and it was quite informative. Often folks discussing undergraduate curricula (including here at UMass Amherst) speak of the need to simply require physics majors to take more math courses. This paper provides an interesting counter perspective. This paper may also be an interesting addition to P691G.

I also think that this paper, along with several of the references therein that I would like to read, has further reinforced my idea that the prep for 131 should be reconsidered. I really think that it should be, to quote the paper, “without the equations.” I will, of course, keep the mathematical reviews as needed because we will do math but a strong conceptual stance in preparation is the way to go. In class, we can then focus on the translation to mathematics as an explicit skill.

Yesterday, I met with Theresa Austin, of the College of Education’s Language Literacy, and Culture program, and Adena Calden of the Department of Mathematics, about this issue. The goal being to determine what insights from the teaching of English to ESL students could perhaps be employed to teach my students their second language of mathematics. The conversation was productive. In particular, she provided an excellent procedure for the in-class translation exercise:

  1. Let students try to translate the physical concept themselves into mathematical language.
  2. Allow them to collaborate as a team to form a communal definition.
  3. Have each team write their definitions on the whiteboards.
  4. Do a gallery walk activity involving critique and voting for the best one.

For step 4, I will need to think more about how to facilitate constructive criticism. Perhaps Chris Ertl, who has done some neat work on poster sessions for the labs, can provide some good suggestions.

A Quote that I think Applies to the Different Problem Solving Schemas of Novice and Expert Physicists

In the beginner’s mind there are many possibilities, but in the expert’s there are few”

Shunryu Suzuki

While this quote is meant to encourage folks to keep the sense of open mindedness in the face of advancing knowledge, I think an alternative interpretation works well for physics instruction.

As Chi et al discuss in their work1, novice and expert physics students approach analyzing problems in wildly different ways:

  • Novices tend to focus on the surface features of the problem: ramps, friction, pulleys, ropes, etc. In their “beginner’s mind” these are all simply different types of problems – there are “ramp problems,” “friction problems,” etc.
  • In the “expert’s mind,” however, there are a lot fewer options: all problems begin from a small set of universal principles: Newton’s Laws, Conservation of Energy, etc.

Perhaps this quote can help students cement their knowledge?

Footnotes
  1. Chi, Michelene T. H., Paul J. Feltovich, and Robert Glaser. “Categorization and Representation of Physics Problems by Experts and Novices*.” Cognitive Science 5, no. 2 (April 1, 1981): 121–52. https://doi.org/10.1207/s15516709cog0502_2.