Time evolution of quantum systems has been shown to be one of the most difficult components of a typical undergraduate quantum mechanics course. In this work, we examine the current literature, and ...then take a closer look at the process that students use to determine how the quantum state of a spin-1/2 particle evolves with time. We divide the process of writing a time-dependent state into five elements and use these to both directly probe student understanding and guide our coding of student responses. We focus on three elements of this process, including knowledge of the Hamiltonian, the energy eigenstates and eigenvalues, and what basis should be used when writing the state as a function of time using the phase e − i E n t . Analysis of four exam questions given at three institutions suggests that knowledge of the energy eigenbasis and its importance for time evolution may be a weak point in student understanding.
The lack of diversity and the under-performance of underrepresented students in STEM courses have been the focus of researchers in the last decade. In particular, many hypotheses have been put forth ...for the reasons for the under- representation and under-performance of women in physics. Here, we present a framework for helping all students learn in science courses that takes into account four factors: (1) the characteristics of instruction and learning tools, (2) student characteristics, (3) implementation of instruction and learning tools, and (4) the students' environments. While there has been much research on factor 1 (characteristics of instruction and learning tools), there has been less focus on factor 2 (students' characteristics, and in particular, motivational factors). Here, we focus on the baseline characteristics of introductory physics students obtained from survey data to inform factor 2 of the framework. A longitudinal analysis of students' motivational characteristics in two-semester introductory physics courses was performed by administering pre- and post- surveys that evaluated students' self- efficacy, grit, fascination with physics, value associated with physics, intelligence mindset, and physics epistemology. We found that female students reported lower levels of self-efficacy, fascination, and value associated with physics, and held a more "fixed" view of intelligence in the context of physics compared to male students. Female students' fascination and value associated with physics decreased significantly more than males' after an introductory physics course sequence. In addition, females' view of physics intelligence became more "fixed" compared to males' by the end of an introductory physics course sequence. Grit was the only factor on which females reported averages that were equal to or higher than males throughout introductory physics courses. The findings inform the framework and have implications for the development and implementation of effective pedagogies and learning tools to help all students learn.
Celotno besedilo
Dostopno za:
DOBA, IZUM, KILJ, NUK, PILJ, PNG, SAZU, SIK, UILJ, UKNU, UL, UM, UPUK
In this paper, we illustrate the successful implementation of pre-class reading assignments through a social learning platform that allows students to discuss the reading online with their ...classmates. We show how the platform can be used to understand how students are reading before class. We find that, with this platform, students spend an above average amount of time reading (compared to that reported in the literature) and that most students complete their reading assignments before class. We identify specific reading behaviors that are predictive of in-class exam performance. We also demonstrate ways that the platform promotes active reading strategies and produces high-quality learning interactions between students outside class. Finally, we compare the exam performance of two cohorts of students, where the only difference between them is the use of the platform; we show that students do significantly better on exams when using the platform.
Based on several educational needs related to Physics Education in Mexico, the University of Guadalajara began the curricular design of a Master’s Program in Physics Education. The work for the ...curricular design of the Master of Science in Physics Education at the University of Guadalajara was developed through nine phases. This paper presents the generalities related to the curricular design process of the Master of Science in Physics Education program at the University of Guadalajara. As a result, we have obtained a program creation project with 21 Learning Units integrated under a competency model and two research lines. Currently, while we are writing this work, the proposal is pending approval by the General Council of the University.
We investigated the difficulties that physics students in upper-level undergraduate quantum mechanics and graduate students after quantum and statistical mechanics core courses have with the Fermi ...energy, the Fermi-Dirac distribution and total electronic energy of a free electron gas after they had learned relevant concepts in their respective courses. These difficulties were probed by administering written conceptual and quantitative questions to undergraduate students and asking some undergraduate and graduate students to answer those questions while thinking aloud in one-on-one individual interviews. We find that advanced students had many common difficulties with these concepts after traditional lecture-based instruction. Engaging with a sequence of clicker questions improved student performance, but there remains room for improvement in their understanding of these challenging concepts.
Prior research suggests that using evidence-based pedagogies can not only improve learning for all students, it can also reduce the gender gap. We describe the impact of physics education ...research-based pedagogical techniques in flipped and active-engagement non-flipped courses on the gender gap observed with validated conceptual surveys. We compare male and female students' performance in courses which make significant use of evidence-based active-engagement (EBAE) strategies with courses that primarily use lecture-based (LB) instruction. All courses had large enrolment and often had more than 100 students. The analysis of data for validated conceptual surveys presented here includes data from two-semester sequences of algebra-based and calculus-based introductory physics courses. The conceptual surveys used to assess student learning in the first and second semester courses were the force concept inventory and the conceptual survey of electricity and magnetism, respectively. In the research discussed here, the performance of male and female students in EBAE courses at a particular level is compared with LB courses in two situations: (I) the same instructor taught two courses, one of which was an EBAE course and the other an LB course, while the homework, recitations and final exams were kept the same; (II) student performance in all of the EBAE courses taught by different instructors was averaged and compared with LB courses of the same type also averaged over different instructors. In all cases, on conceptual surveys we find that students in courses which make significant use of active-engagement strategies, on average, outperformed students in courses of the same type using primarily lecture-based instruction even though there was no statistically significant difference on the pre-test before instruction. However, the gender gap persisted even in courses using EBAE methods. We also discuss correlations between the performance of male and female students on the validated conceptual surveys and the final exam, which had a heavy weight on quantitative problem solving.
Student understanding of the Bloch sphere Hu, Peter; Li, Yangqiuting; Mong, Roger S K ...
European journal of physics,
03/2024, Letnik:
45, Številka:
2
Journal Article
Recenzirano
Odprti dostop
Abstract Quantum information science is a rapidly growing interdisciplinary field that is attracting the attention of academics and industry experts alike. It requires talent from a wide variety of ...traditional fields, including physics, engineering, chemistry, and computer science, to name a few. To prepare students for such opportunities, it is important to give them a strong foundation in the basics of quantum information science, in which quantum computing plays a central role. In this study, we discuss the development, validation, and evaluation of a tutorial on the Bloch sphere, a useful visual tool for developing intuition about single quantum bits (qubits), which are the basic building block of any quantum computer. Students’ understanding was evaluated after they received traditional lecture-based instruction on the requisite topics, and again after engaging with the tutorial. We observe, analyze, and discuss their improvement in performance on concepts covered in the tutorial.
Due to the similarities between Gauss’s and Ampere’s laws, students can present cognitive interference when learning these laws in the introductory physics course. This study aims to analyze the ...interference patterns that emerge in students’ answers when solving problems that involve Gauss’s and Ampere’s laws and related concepts (e.g., electric flux and magnetic circulation). We conducted a study of 322 engineering students attending a private Mexican university. We applied two open-ended questionnaires with questions that prompted using Gauss’s and Ampere’s laws. We analyzed students’ answers to identify whether they presented some word or element of an equation from the opposite context and coded them into coding families. We analyzed the consistency of interference by counting the times each student presented some interference in general and by coding family. The results indicated that the interferences related to the shape of the Gaussian surface or Amperian trajectory and field-related concepts are shared among contexts. However, the interference related to the source of the field (charge or current) is predominant in magnetism. In contrast, the interference related to using elements from the opposite context in an equation predominates in electricity. In other words, students referred to currents as charges and wrote equations that contained B (for magnetic field) or other similar elements in Gauss’s law. The general consistency analysis revealed that around half the students presented at least one interference in both contexts. We recommend that the interference between electricity and magnetism in Gauss’s and Ampere’s laws must not be overlooked. This study’s findings can guide introductory and intermediate electricity and magnetism instructors to address this interference phenomenon.
The ability to construct, use, and revise models is a crucial experimental physics skill. Many existing frameworks describe modelling in science education at introductory levels. However, most have ...limited applicability to the context of upper-division physics lab courses or experimental physics. Here, we review the Modelling Framework for Experimental Physics, a theoretical framework tailored to labs and experimentation. A key feature of the framework is recursive interaction between models and apparatus. Models are revised to account for new evidence produced by apparatus, and apparatus are revised to better align with the simplifying assumptions of models. Another key feature is the distinction between the physical phenomenon being investigated and the measurement equipment used to conduct the investigation. Models of physical systems facilitate explanation or prediction of phenomena, whereas models of measurement systems facilitate interpretation of data. We describe the framework, provide a chronological history of its development, and summarise its applications to research and curricular design. Ultimately, we argue that the Modelling Framework is a theoretically sound and well-tested tool that is applicable to multiple physics domains and research purposes. In particular, it is useful for characterising students' approaches to experimentation, designing or evaluating curricula for lab courses, and developing instruments to assess students' experimental modelling skills.
The expectation value of an observable is an important concept in quantum mechanics since measurement outcomes are, in general, probabilistic and we only have information about the probability ...distribution of measurement outcomes in a given quantum state of a system. However, we find that upper-level undergraduate and PhD students in physics have both conceptual and procedural difficulties when determining the expectation value of a physical observable in a given quantum state in terms of the eigenstates and eigenvalues of the corresponding operator, especially when using Dirac notation. Here we first describe the difficulties that these students have with determining the expectation value of an observable in Dirac notation. We then discuss how the difficulties found via student responses to written surveys and individual interviews were used as a guide in the development of a quantum interactive learning tutorial (QuILT) to help students develop a good grasp of the expectation value. The QuILT strives to help students integrate conceptual understanding and procedural skills to develop a coherent understanding of the expectation value. We discuss the effectiveness of the QuILT in helping students learn this concept from in-class evaluations.
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