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Physical Review Physics Education Research

Exploring preservice teachers’ use of ontologies and stances toward the wave function through a classical-quantum analogy lesson

Anonymous, Hanna Stammes, Henk W. de Regt, Erik Barendsen

Published Aug 5, 2026• 0 citations
Publisher

Abstract

Physics students, teachers, and preservice teachers (PSTs) struggle with the abstract nature of quantum mechanics (QM), which has led to calls for a more conceptual approach to QM teaching and learning. In response, this study uses a novel analogy between Kundt’s tube and the infinite quantum well to elicit discussion of ontological issues. We investigated PSTs’ use of ontologies, including their interpretation of the wave function. Nine PSTs participated in the analogy lesson; dialogues were recorded, transcribed, and thematically analyzed. We identified five different ontologies: one classical and four quantum ontologies. The importance of probabilities in PSTs’ quantum ontologies stood out. Three ontologies (probabilistic particle, particle-wave, and probabilistic wave) expand the particle-wave duality, while the fourth (wave collapse) added a dynamic element to this axis. PSTs often used a single ontology in response to one aspect of the analogy but switched flexibly between ontologies across aspects of the analogy that they discussed. Concerning the wave function, we found both realist and formalist stances, revealing a diversity of interpretations that contrasts with the uniformity of the formalist QM courses PSTs had attended. We conclude that explicit attention to ontological issues in QM, supported by classical-quantum analogies, provides insight into PSTs’ ontological reasoning and offers a conceptual approach to teaching and learning QM. We present recommendations for PST training and implications for QM teaching reform.

DOI
10.1103/ynjj-22sw

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Physics students, teachers, and preservice teachers (PSTs) struggle with the abstract nature of quantum mechanics (QM), which has led to calls for a more conceptual approach to QM teaching and learning. In response, this study uses a novel analogy between Kundt’s tube and the infinite quantum well to elicit discussion of ontological issues. We investigated PSTs’ use of ontologies, including their interpretation of the wave function. Nine PSTs participated in the analogy lesson; dialogues were recorded, transcribed, and thematically analyzed. We identified five different ontologies: one classical and four quantum ontologies. The importance of probabilities in PSTs’ quantum ontologies stood out. Three ontologies (probabilistic particle, particle-wave, and probabilistic wave) expand the particle-wave duality, while the fourth (wave collapse) added a dynamic element to this axis. PSTs often used a single ontology in response to one aspect of the analogy but switched flexibly between ontologies across aspects of the analogy that they discussed. Concerning the wave function, we found both realist and formalist stances, revealing a diversity of interpretations that contrasts with the uniformity of the formalist QM courses PSTs had attended. We conclude that explicit attention to ontological issues in QM, supported by classical-quantum analogies, provides insight into PSTs’ ontological reasoning and offers a conceptual approach to teaching and learning QM. We present recommendations for PST training and implications for QM teaching reform.
A common learning goal for modern physics instructors is for students to recognize a difference between the experimental uncertainty of classical physics and the fundamental uncertainty of quantum mechanics. Our studies suggest this notoriously difficult task may be frustrated by the intuitively realist perspectives of introductory students, and a lack of ontological flexibility in their conceptions of light and matter. We have developed a framework for understanding and characterizing student perspectives on the physical interpretation of quantum mechanics, and demonstrate the differential impact on student thinking of the myriad ways instructors approach interpretive themes in their introductory courses. Like expert physicists, students interpret quantum phenomena differently, and these interpretations are significantly influenced by their overall stances on questions central to the so-called measurement problem: Is the wave function physically real, or simply a mathematical tool? Is the collapse of the wave function an ad hoc rule, or a physical transition not described by any equation? Does an electron, being a form of matter, exist as a localized particle at all times? These questions, which are of personal and academic interest to our students, are largely only superficially addressed in our introductory courses, often for fear of opening a Pandora's Box of student questions, none of which have easy answers. We show how a transformed modern physics curriculum (recently implemented at the University of Colorado) may positively impact student perspectives on indeterminacy and wave-particle duality, by making questions of classical and quantum reality a central theme of our course, but also by making the beliefs of our students, and not just those of scientists, an explicit topic of discussion.
A common learning goal for modern physics instructors is for students to recognize a difference between the experimental uncertainty of classical physics and the fundamental uncertainty of quantum mechanics. Our studies suggest this notoriously difficult task may be frustrated by the intuitively realist perspectives of introductory students, and a lack of ontological flexibility in their conceptions of light and matter. We have developed a framework for understanding and characterizing student perspectives on the physical interpretation of quantum mechanics, and demonstrate the differential impact on student thinking of the myriad ways instructors approach interpretive themes in their introductory courses. Like expert physicists, students interpret quantum phenomena differently, and these interpretations are significantly influenced by their overall stances on questions central to the so-called measurement problem: Is the wave function physically real, or simply a mathematical tool? Is the collapse of the wave function an ad hoc rule, or a physical transition not described by any equation? Does an electron, being a form of matter, exist as a localized particle at all times? These questions, which are of personal and academic interest to our students, are largely only superficially addressed in our introductory courses, often for fear of opening a Pandora's Box of student questions, none of which have easy answers. We show how a transformed modern physics curriculum (recently implemented at the University of Colorado) may positively impact student perspectives on indeterminacy and wave-particle duality, by making questions of classical and quantum reality a central theme of our course, but also by making the beliefs of our students, and not just those of scientists, an explicit topic of discussion.
In this study, consistent with the interpretivist paradigm, focus group discussions (FGDs) were used together data about tertiary physics students’ multiple ontologies / realities on wave – particle duality. Findings of the study show the need to afford tertiary physics students opportunities to critically think so that they develop ontologies which may contribute to debates aiming to solve pertinent wave – particle issues. Therefore physics educators should expose tertiary physics students to teaching and learning contexts which develop flexible ontologies about wave – particle duality. Such exposure encourages tertiary physics students to engage in exploring alternatives which may be scientifically significant.
Just as expert physicists vary in their personal stances on interpretation in quantum mechanics, instructors vary on whether and how to teach interpretations of quantum phenomena in introductory modern physics courses. In this paper, we document variations in instructional approaches with respect to interpretation in two similar modern physics courses recently taught at the University of Colorado, and examine associated impacts on student perspectives regarding quantum physics. We find students are more likely to prefer realist interpretations of quantum-mechanical systems when instructors are less explicit in addressing student ontologies. We also observe contextual variations in student beliefs about quantum systems, indicating that instructors who choose to address questions of ontology in quantum mechanics should do so explicitly across a range of topics.
Abstract Teaching and learning of quantum physics at secondary level is an active field of research. One important challenge is finding ways to promote understanding of quantum concepts without the mathematical formalism that is embedded in quantum mechanics but unavailable on the secondary level. We investigated Norwegian secondary students’ (N = 291) descriptions of the wave nature of quantum particles and the uncertainty principle, as expressed during work with learning resources using a sociocultural approach emphasizing history, philosophy, and nature of science aspects. Responses from university students (N = 40) given after a formalism-based course in quantum physics were included for comparison. Themes were identified using thematic analysis and analyzed from the perspective of pedagogical link-making, seeing different themes as representing different levels of explanations of the concepts (phenomenological, qualitative, mathematical). The most dominant theme in descriptions of particle wave nature was that particles exhibit wave behavior in experiments, while referring to the mathematical description of particles by wave functions was a less prominent theme, even among university students. Two uncertainty principle themes were found: uncertainty as inability to measure pairs of variables precisely, and uncertainty as innate blurriness in nature. Largely missing from descriptions of both concepts were meaningful links between different levels of explanations. Based on the results, we discuss ways forward for teaching particle wave nature and uncertainty in secondary education.
Just as expert physicists vary in their personal stances on interpretation in quantum mechanics, instructors vary on whether and how to teach interpretations of quantum phenomena in introductory modern physics courses. In this paper, we document variations in instructional approaches with respect to interpretation in two similar modern physics courses recently taught at the University of Colorado, and examine associated impacts on student perspectives regarding quantum physics. We find students are more likely to prefer realist interpretations of quantum-mechanical systems when instructors are less explicit in addressing student ontologies. We also observe contextual variations in student beliefs about quantum systems, indicating that instructors who choose to address questions of ontology in quantum mechanics should do so explicitly across a range of topics.