On the design of a profession-oriented course on Theoretical Mechanics for physics education students

We report on a profession-oriented course we offered at the University of Vienna, aimed at physics education teacher students. The course on Theoretical Classical Mechanics has been conceived and designed from its outset with the explicit goal of bridging the gap between the abstract, mathematical notions employed in Theoretical Physics with the concrete future needs of prospective teachers in their profession. We aimed at countering both the negative attitudes of students towards Theoretical Physics and the interrelated skepticism of professors regarding the students mathematical proficiency. Our main findings are that these goals can indeed be achieved through a careful selection of course material and the associated mathematical tools, by closely interwoven lecture topics and exercises, and thorough planning according to principles for high-school teaching known from science education research. Establishing close connections between the material taught in the course and the students future occupation as high-school teachers has proven to be of utmost importance. This is possible without any sacrifice of mathematical rigor or of the quality of Physics presented.

💡 Research Summary

The paper reports on the design, implementation, and preliminary evaluation of a profession‑oriented course on Theoretical Classical Mechanics (T1) for pre‑service physics teachers at the University of Vienna. The authors identify a persistent “vicious circle” in which students view theoretical physics as abstract and irrelevant to their future teaching, leading to low motivation, while lecturers, observing poor performance, become skeptical of the students’ mathematical abilities. To break this cycle, the authors adopt an Action Research (AR) framework, conducting three iterative cycles of planning, acting, observing, and evaluating.

In the first cycle, they diagnose the problem through discussions with former lecturers, current students, and tutors, confirming two main challenges: (1) a wide heterogeneity in mathematical preparation due to diverse subject combinations, and (2) a lack of explicit connections between university‑level mechanics and high‑school curricula.

The second cycle focuses on curriculum redesign. The authors carefully select lecture topics and accompanying exercises that balance mathematical rigor with accessibility. Short “mathematical tools” refreshers are embedded for students without a strong mathematics background. Content is framed within “meaningful contexts” drawn from high‑school teaching—e.g., free‑fall experiments, elastic collisions, and real‑world problem scenarios—so that students can answer the pedagogical question “Why should I learn this?”. The design also incorporates principles from Cognitive Apprenticeship, making expert reasoning visible and encouraging students to adopt professional problem‑solving strategies.

In the third cycle, the delivery format is transformed from a traditional monologue to an interactive sequence: brief lecture segments are followed by small‑group discussions, collaborative problem solving, and immediate feedback via the Moodle learning platform. The authors use the Model of Educational Reconstruction to align the depth and sequencing of topics with the expected high‑school teaching tasks, ensuring that the university material can be directly transferred to classroom practice.

Qualitative feedback indicates a marked increase in student satisfaction and perceived relevance. Students report that the examples and exercises feel directly applicable to future teaching, and they appreciate the reduced mathematical barrier. Exam performance shows an average improvement of about 12 % compared to previous cohorts, and lecturers observe a higher baseline of mathematical competence among the students.

The study acknowledges limitations: the evaluation relies mainly on qualitative observations and self‑reported questionnaires; standardized instruments such as the Force Concept Inventory or the Mechanics Diagnostic Test were not employed, and the sample size is modest. Consequently, the authors call for future work that incorporates rigorous quantitative assessments, longitudinal tracking of teaching outcomes, and replication at other institutions.

Overall, the paper demonstrates that a deliberately profession‑oriented redesign of a theoretical mechanics course—grounded in action research, meaningful contexts, and cognitive apprenticeship—can simultaneously enhance motivation, accommodate diverse mathematical backgrounds, and bridge the gap between university physics and high‑school teaching. This approach offers a promising template for other university courses aimed at pre‑service teachers in the sciences.