In this study, we explore the use of analogies with classical physics in introductory quantum physics (QP) teaching. This work is part of a larger project in which a learning sequence covering three introductory QP topics was designed, tested, and evaluated in collaboration with high school teachers and physics education researchers. Based on the…

In the context of quantum mechanics, students are often asked to use delta functions to solve problems. Here, we investigate three typical problem-solving processes using delta functions: a delta function potential well problem, a position space delta function problem, and a momentum space delta function problem. We studied students'solutions in…

Teaching and learning quantum mechanics is one of the most demanding educational and conceptual challenges, in particular in secondary schools where students do not possess an adequate mathematical background to effectively support the description of quantum behaviour. Educational research shows that traditional approaches, generally based on…

The study investigates secondary students' understanding of "orbital" and "electron cloud" concepts in different quantum contexts (for values of the ?principal quantum number n = 1 and n = 2) on the basis of their verbal and pictorial representations, evaluating also their consistency. Participants, which were 192 12th-grade…

Teaching quantum physics (QP) to high school (HS) students is gaining momentum, necessitating the exploration of various effective methods. Specifically, the research on quantitative teaching methods is still in its early stages. Understanding the power of Dirac notation (DN) in teaching is crucial for grasping the complexities of QP, as it…

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)…

Students' understanding of the electronic structure of the atom has been investigated by many authors. This study outlines students' conceptual and representational understanding of quantum concepts explored in lower and upper level chemistry courses, in three different chemistry majors, identifying learning obstacles and monitoring student…

The purpose of this study is to investigate physicists' views about the possible impacts of recent developments in quantum physics on educational implementations, particularly on science learning. Throughout the research a mixed-methods strategy was used. The data were collected from the physicists working at the European Organization for Nuclear…

The present review intends to show the current state of teaching quantum-related content, to analyze and compare its learning efficiency, and to give a systemized overview of quantum-educational activities in the last years. We focus on teaching and learning elements, their innovative tools, and process-oriented studies that are empirically…

Quantum mechanics (QM) has become part of many secondary school curricula. These curricula often do not include the mathematical tools for a formal, mathematical introduction of QM. QM therefore needs to be taught at a more conceptual level, but making secondary school students understand counterintuitive QM concepts without introducing…

The main purpose of this study was to investigate the consistency of pictorial representations of the atomic structure drawn by students on the basis of particular quantum numbers' characteristics. Participants were 192 students of the 12th grade of secondary Greek schools. This study's instrument, a paper-and-pencil assessment tool, included four…

Society needs transdisciplinary citizens with good scientific literacy. One way to achieve this could be through the use of areas or subjects for which students have more affinity and expertise. This study seeks to maximize the chemistry learning of students who want to be musicians, through the use of analogies. Analogies are a powerful tool to…

This paper concerns the re/production of norms about physics teaching and learning in a Swedish university quantum mechanics classroom. The university teachers in the analysed classroom can be characterised as implementing reform-based physics teaching, inspired by physics education research they aim to realise a classroom with a high degree of…

Background: Quantum physics has found its way into upper secondary school physics curricula worldwide. This trend coincides with increased attention for conceptual understanding in physics education in general and quantum physics education in particular. Students' conceptual difficulties of learning quantum physics are regularly reported. Little…

In quantum mechanics courses, students are often asked to solve bound and scattering state problems. The use of an ordinary differential equation is a standard technique to solve these questions. Here, we investigated students' problem-solving processes for two typical problems of a single particle in one spatial dimension: a bound state problem…