How analogies helped novice students think about superposition states and collapse in quantum mechanics
by
From the big bang to black holes, from elementary particles and the fundamental interactions that govern our universe to the world's largest and most complex scientific instruments, our knowledge of the world builds on modern physics. To make our current-best understanding available to all, we need to invest in educational research and bridge the gap between those who know science, those who teach science, and those who learn science.
This month, we are going to discuss a paper by Sergej Faletič
Abstract: In my active learning course on quantum mechanics, students build their knowledge by following the scientific process as outlined by the Investigative Science Learning Environment. In this course, open-ended questions on the effect of measurement (collapse) failed to elicit meaningful responses from students. Meaningful responses are crucial for the next steps of testing students’ ideas using hypothetico-deductive reasoning. I wanted to help the students in this process with a pictorial representation. To arrive at a pictorial representation that would have meaning for students, I first asked them to provide their analogies for a superposition state. A common suggestion was the mixture of colours, but other, more inventive analogies were also suggested. I developed a pictorial representation based on the colour analogy. I reformulated the questions on collapse using this representation and a more concretized formulation. The ability of students to meaningfully answer the questions increased to the point where it was possible to complete also the testing part of the process. In the article, I discuss the analogies that students suggested and what underlying ideas known from literature they could represent. I provide the derived representation, the reformulated questions and evidence of how this helped students articulate their answers and helped identify students’ productive ideas that they could not clearly articulate in words. This enabled students to arrive at conclusions about the effect of measurement following the scientific process. This study contributes to the literature by providing student-generated analogies, using a pictorial representation derived from student-generated analogies, and showing an example of an efficiently formulated question on a difficult topic that is able to elicit meaningful responses.
Paper:
Faletič, S. (2025). How analogies helped novice students think about superposition states and collapse in quantum mechanics. EPJ Quantum Technology, 12(1), 9. https://doi.org/10.1140/epjqt/s40507-025-00309-6
Magdalena Kersting (Department of Science Education, University of Copenhagen, Denmark) and Julia Woithe (Science Gateway Education, CERN, Switzerland)