arXiv subjects

Alexandru Maries

Publications and source records attributed to Alexandru Maries.

At least 19 recordsLinked to original sources

arXiv2025

Investigation of student and faculty problem solving: An example from quantum mechanics

We describe a study focusing on students' and faculty members' reasoning about problems of differing cognitive complexity related to the double-slit experiment (DSE) with single particles. In the first phase of the study, students in advanced quantum mechanics courses were asked these questions in written form. Additionally, individual interviews were conducted with ten students in which they were asked follow-up questions to make their thought processes explicit on the challenging problems. Students did well on the straightforward problem, showing they had some knowledge of the DSE after traditional instruction, but they struggled on the more complex ones. Even if explicitly asked to do so in interviews, students were often uncomfortable performing calculations or making approximations and simplifications, instead preferring to stick with their gut feeling. In the second phase of the study, the problems were broken down into more pointed questions to investigate whether students had knowledge of relevant concepts, whether they would do calculations as part of their solution approach if explicitly asked, and whether they explicitly noted using their gut feeling. While the faculty members' responses suggest that they could seamlessly move between conceptual and quantitative reasoning, most students were unable to combine concepts represented by different equations to solve the problems quantitatively. We conclude with instructional implications.

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arXiv2025

Using multiple representations to improve student understanding of quantum states

One hallmark of expertise in physics is the ability to translate between different representations of knowledge and use the representations that make the problem-solving process easier. In quantum mechanics, students learn about several ways to represent quantum states, e.g., as state vectors in Dirac notation and as wavefunctions in position and momentum representation. Many advanced students in upper-level undergraduate and graduate quantum mechanics courses have difficulty translating state vectors in Dirac notation to wavefunctions in the position or momentum representation and vice versa. They also struggle when translating the wavefunction between the position and momentum representations. The research presented here describes the difficulties that students have with these issues and how research was used as a guide in the development, validation, and evaluation of a Quantum Interactive Learning Tutorial (QuILT) to help students develop a functional understanding of these concepts. The QuILT strives to help students with different representations of quantum states as state vectors in Dirac notation and as wavefunctions in position and momentum representation and with translating between these representations. We discuss the effectiveness of the QuILT from in-class implementation and evaluation.

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arXiv2025

Impact of evidence-based flipped or active-engagement non-flipped courses on student performance in introductory physics

We describe the impact of physics education research-based pedagogical techniques in flipped and active-engagement non-flipped courses on student performance on validated conceptual surveys. We compare student 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 enrollment and often had 100-200 students. The analysis of data for validated conceptual surveys presented here includes data from large numbers of students from two-semester sequences of introductory 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 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 a flipped course involving EBAE methods 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 were averaged and compared with LB courses of the same type also averaged over different instructors. In all cases, we find that students in courses which make significant use of active-engagement strategies, on average, outperformed students in courses using primarily lecture-based instruction of the same type on conceptual surveys even though there was no statistically significant difference on the pretest before instruction. We also discuss correlation between the performance on the validated conceptual surveys and the final exam, which typically placed a heavy weight on quantitative problem solving.

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arXiv2023

Using the Conceptual Survey of Electricity and Magnetism to investigate progression in student understanding from introductory to advanced levels

The Conceptual Survey of Electricity and Magnetism (CSEM) is a multiple-choice survey that contains a variety of electricity and magnetism concepts from Coulomb's law to Faraday's law at the level of introductory physics used to help inform instructors of student mastery of those concepts. Prior studies suggest that many concepts on the survey are challenging for introductory physics students and the average student scores after traditional instruction are low. The research presented here investigates the progression in student understanding on the CSEM. We compare the performance of students in introductory and advanced level physics courses to understand the evolution of student understanding of concepts covered in the CSEM after traditional lecture-based instruction. We find that on all CSEM questions on which less than 50% of the introductory physics students answered a question correctly after instruction, less than two thirds of the upper-level undergraduate students provided the correct response after traditional instruction. We also analyzed the CSEM data from graduate students for benchmarking purposes. We discuss the CSEM questions that remain challenging and the common alternative conceptions among upper-level students. The findings presented here at least partly point to the fact that traditional instruction in upper-level courses which typically focuses primarily on quantitative problem solving and incentivizes use of algorithmic approaches is not effective for helping students develop a solid understanding of these concepts. However, it is important for helping students integrate conceptual and quantitative aspects of learning in order to build a robust knowledge structure of basic concepts in electricity and magnetism.

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arXiv2023

Using the Energy and Momentum Conceptual Survey to investigate progression in student understanding from introductory to advanced levels

The Energy and Momentum Conceptual Survey (EMCS) is a multiple-choice survey that contains conceptual problems involving a variety of energy and momentum concepts covered in a typical introductory physics course for science and engineering majors. Prior studies suggest that many concepts on the survey are challenging for introductory physics students and the average student scores after traditional lecture-based instruction are low. The research presented here investigates the progression in student understanding of the EMCS concepts including their evolution from the beginning to the end of their courses in introductory and advanced level undergraduate physics after traditional lecture-based instruction. We find that on all EMCS questions on which less than 50% of the introductory physics students answered a question correctly after traditional instruction, less than two-thirds of the upper-level undergraduate students provided the correct response after traditional lecture-based instruction. We discuss the EMCS questions that remain challenging and the common alternate conceptions among upper-level students. The findings presented here are consistent with prior research showing that traditional instruction in upper-level courses, which typically focuses primarily on quantitative problem solving and often incentivizes use of algorithmic approaches, is not effective for helping many students develop a functional understanding of underlying concepts.

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arXiv2023

Helping students apply superposition principle in problems involving spherical, cylindrical and planar charge distributions

We describe student difficulties in applying the superposition principle in combination with Gauss's law. We addressed these difficulties by developing a tutorial that uses guided inquiry. Students who used this tutorial following lecture-based instruction performed significantly better on these topics than those who did not. Instructors can assign the tutorial as classwork or homework.

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arXiv2023

Helping students become proficient problem solvers Part I: A brief review

Understanding issues involved in expertise in physics problem solving is important for helping students become good problem solvers. In part 1 of this article, we summarize the research on problem-solving relevant for physics education across three broad categories: knowledge organization, information processing and cognitive load, and metacognition and problem-solving heuristics. We also discuss specific strategies discussed in the literature for promoting development of problem-solving skills in physics. This review article can be valuable in helping instructors develop students' problem-solving, reasoning, and metacognitive skills in physics and other related disciplines. Additionally, this review article is relevant across educational contexts in countries that may have different educational paradigms and challenges.

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arXiv2023

Progression in self-efficacy, interest, identity, sense of belonging, perceived recognition and effectiveness of peer interaction of physics majors and comparison with non-majors and Ph.D. students

The importance of science beliefs such as self-efficacy, interest, identity, sense of belonging, perceived recognition and effectiveness of peer interaction in science education has been increasingly recognized in recent years. Here, we use five years of data from a validated survey administered to non-majors during their first year, physics majors throughout their undergraduate education, and first-year physics Ph.D. students at a large research university in the US. We find that physics majors in the first-year responded to the survey prompts more positively than their non-physics major peers who were in the same introductory courses, with the largest differences in perceived recognition, interest, and physics identity and somewhat smaller differences in self-efficacy, perception of peer interaction, and sense of belonging. Further, the average survey responses of physics majors for each belief remain largely constant over time from their first-year of the undergraduate curriculum through the last year and comparable to the Ph.D. students. This suggests that students are adjusting their interpretation of the survey items to match the current level of expertise expected of them. One exception occurs in the second year, when peer interaction and sense of belonging reach a minimum. Moreover, physics identity dips to the lowest value in the fourth year when many students are contemplating continuing in physics beyond their undergraduate years or switching fields. We also find that perceived recognition is the best predictor of physics identity for physics majors throughout their entire physics education, pointing to the importance of instructors making a concerted effort to recognize and affirm their students throughout their education.

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arXiv2023

Instructional Strategies that Foster Effective Problem-Solving

Helping students become proficient problem solvers is a major goal of many physics courses from introductory to advanced levels. In fact, physics has often been used by cognitive scientists to investigate the differences between the problem-solving strategies of expert and novice problem solvers because it is a domain in which there is reasonably good agreement about what constitutes good problem-solving. Since the laws of physics are encapsulated in compact mathematical form, becoming an expert physics problem solver entails learning to unpack and interpret those physical laws as well as being able to apply them in diverse situations while solving problems. A physics expert must have a well-organized knowledge structure of relevant physics and math concepts and be able to manage cognitive load and do metacognition while solving complex problems. In this chapter, we review foundational research on expertise in physics problem-solving and then discuss research on instructional strategies that promote effective problem-solving as well as challenges in changing the instructional practices of physics instructors and teaching assistants via professional development to promote and support effective problem-solving approaches.

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arXiv2023

Helping students become proficient problem solvers Part II: An example from waves

Helping students become proficient problem-solvers is one of the primary goals of physics courses. In part 1 of this article, we summarized the vast research on problem-solving relevant for physics instruction, and here we discuss a concrete example of problem solving in the context of waves from introductory physics. The goal of this research was to investigate how drawing of diagrams affects students' problem-solving performance. An introductory class was broken up into three recitations which received different instructions related to diagrams on their weekly quizzes: one group was provided a diagram, another was asked to draw one, and the third was the comparison group which was given no instructions about diagrams. We find that students who were provided a diagram performed significantly worse than students in the other two groups. Furthermore, we find that irrespective of the condition, students who drew diagrams as part of the problem-solving process performed better overall despite primarily using a mathematical approach to solving the problem. Lastly, we conducted think-aloud interviews with students who solved the same problem to further understand their solution approaches as well as how drawing a diagram is useful even in situations where a primarily mathematical approach is used.

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arXiv2022

Gender Inequities Throughout STEM: Compared to Men, Women with Significantly Higher Grades Drop STEM Majors

Efforts to promote equity and inclusion using evidence-based approaches are vital to correcting long-standing societal inequities that have disadvantaged women and discouraged them from pursuing studies, including in many STEM disciplines. We used 10 years of institutional data from a large public university to investigate the grade point average trends in different STEM disciplines for men and women who declared a major and then either completed the degree or dropped the major after declaring it. We found alarming trends, such as that women who dropped majors on average earned higher grades than men, and in some STEM majors, women who dropped the majors were earning comparable grades to men who persisted in those majors. While these quantitative findings call for a deeper understanding of the reasons women and men drop a major, we provide suggestions for approaches to make learning environments more equitable and inclusive so that traditionally excluded stereotyped groups can have a higher sense of belonging and thrive.

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arXiv2020

Is agreeing with a gender stereotype correlated with the performance of female students in introductory physics?

Several prior studies in introductory physics have found a gender gap on conceptual assessments such as the Force Concept Inventory (FCI) and the Conceptual Survey of Electricity and Magnetism (CSEM) with male students performing better than female students. Moreover, prior studies in the context of mathematics have also found that activation of a negative stereotype about a group can lead to deteriorated performance of the stereotyped group. Here, we describe two studies in which we investigated the impact of interventions on the gender gap on the FCI and CSEM in large introductory physics courses at a large research university. In the first study, we investigated whether asking introductory physics students to indicate their gender immediately before taking the CSEM increased the gender gap compared to students who were not asked for this information. We found no difference in performance between male and female students in the two conditions. In the second study, conducted with several thousand introductory physics students, we investigated the prevalence of the belief that men generally perform better in physics than women and the extent to which this belief is correlated with the performance of both female and male students on the FCI and the CSEM in introductory physics courses. We found that at the end of the year-long calculus-based introductory physics sequence, in which female students are significantly underrepresented, agreeing with a gender stereotype was correlated negatively with the performance of female students on the conceptual physics surveys. The fact that female students who agreed with the gender stereotype performed worse than female students who disagreed with it at the end of the year-long calculus-based physics course may partly be due to an increased stereotype threat that female students who agree with the stereotype may experience in this course.

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arXiv2020

Do students benefit from drawing productive diagrams themselves while solving introductory physics problems? The case of two electrostatic problems

An appropriate diagram is a required element of a solution building process in physics problem solving and it can transform a given problem into a representation that is easier to exploit for solving the problem. A major focus while helping introductory physics students learn problem solving is to help them appreciate that drawing diagrams facilitates problem solving. We conducted an investigation in which two different interventions were implemented during recitation quizzes throughout the semester in a large enrollment, algebra-based introductory physics course. Students were either (1) asked to solve problems in which the diagrams were drawn for them or (2) explicitly told to draw a diagram. A comparison group was not given any instruction regarding diagrams. We developed a rubric to score the problem solving performance of students in different intervention groups. We investigated two problems involving electric field and electric force and found that students who drew productive diagrams were more successful problem solvers and that a higher level of relevant detail in a student's diagram corresponded to a better score. We also conducted think-aloud interviews with nine students who were at the time taking an equivalent introductory algebra-based physics course in order to gain insight into how drawing diagrams affects the problem solving process. These interviews supported some of the interpretations of the quantitative results. We end by discussing instructional implications of the findings.

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arXiv2020

Case of two electrostatics problems: Can providing a diagram adversely impact introductory physics students' problem solving performance?

Drawing appropriate diagrams is a useful problem solving heuristic that can transform a problem into a representation that is easier to exploit for solving it. One major focus while helping introductory physics students learn effective problem solving is to help them understand that drawing diagrams can facilitate problem solution. We conducted an investigation in which two different interventions were implemented during recitation quizzes in a large enrollment algebra-based introductory physics course. Students were either (i) asked to solve problems in which the diagrams were drawn for them or (ii) explicitly told to draw a diagram. A comparison group was not given any instruction regarding diagrams. We developed rubrics to score the problem solving performance of students in different intervention groups and investigated ten problems. We found that students who were provided diagrams never performed better and actually performed worse than the other students on three problems, one involving standing sound waves in a tube (discussed elsewhere) and two problems in electricity which we focus on here. These two problems were the only problems in electricity that involved considerations of initial and final conditions, which may partly account for why students provided with diagrams performed significantly worse than students who were not provided with diagrams. In order to explore potential reasons for this finding, we conducted interviews with students and found that some students provided with diagrams may have spent less time on the conceptual analysis and planning stage of the problem solving process. In particular, those provided with the diagram were more likely to jump into the implementation stage of problem solving early without fully analyzing and understanding the problem, which can increase the likelihood of mistakes in solutions.

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arXiv2020

Exploring one aspect of pedagogical content knowledge of teaching assistants using the Conceptual Survey of Electricity and Magnetism

Instruction is unlikely to be effective if instructors do not know the common alternate conceptions of introductory physics students and explicitly take into account common student difficulties in their instructional design. Here, we discuss research involving the Conceptual Survey of Electricity and Magnetism (CSEM) to evaluate one aspect of the pedagogical content knowledge of teaching assistants (TAs): knowledge of introductory students' alternate conceptions in electricity and magnetism as revealed by the CSEM. For each item on the CSEM, the TAs were asked to identify the most common incorrect answer choice selected by introductory physics students if they did not know the correct answer after traditional instruction. Then, we used introductory student CSEM post-test data to assess the extent to which TAs were able to identify the most common alternate conception of introductory students in each question on the CSEM. We find that the TAs were thoughtful when attempting to identify common student difficulties and they enjoyed learning about student difficulties this way. However, they struggled to identify many common difficulties of introductory students that persist after traditional instruction. We discuss specific alternate conceptions that persist after traditional instruction, the extent to which TAs were able to identify them, and results from think-aloud interviews with TAs which provided valuable information regarding why the TAs sometimes selected certain alternate conceptions as the most common but were instead very rare among introductory students. We also discuss how tasks such as the one used in this study can be used in professional development programs to engender productive discussions about the importance of being knowledgeable about student alternate conceptions in order to help students learn.

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arXiv2020

Teaching assistants' performance at identifying common introductory student difficulties revealed by the conceptual survey of electricity and magnetism

We discuss research involving the Conceptual Survey of Electricity and Magnetism (CSEM) to evaluate one aspect of the pedagogical content knowledge of teaching assistants (TAs): the knowledge of introductory students' alternate conceptions in electricity and magnetism as revealed by the CSEM. For each item on the CSEM, the TAs were asked to (1) identify the most common incorrect answer choice of introductory physics students and (2) predict the percentage of introductory students who would answer the question correctly in a post-test. Then, we used the CSEM post-test data from approximately 400 introductory physics students (provided in the original paper describing the CSEM) to assess the extent to which the TAs were able to identify the alternate conceptions of introductory students related to electricity and magnetism. In addition, we conducted think-aloud interviews with TAs who had at least two semester of teaching experience in recitations to explore their reasoning about this task. We find that the TAs struggled to think about the difficulty of the questions from introductory students' perspective and they often underestimated the difficulty of the questions. Moreover, the TAs often expected certain incorrect answer choices to be common among introductory students when in fact those answer choices were not common.

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arXiv2020

The impact of stereotype threat on gender gap in introductory physics

Many prior studies have found a gender gap between male and female students' performance on conceptual assessments such as the Force Concept Inventory (FCI) and the Conceptual Survey of Electricity and Magnetism (CSEM) with male students performing better than female students. Prior studies have also found that activation of a negative stereotype about a group or stereotype threat, e.g., asking test-takers to indicate their ethnicity before taking a test, can lead to deteriorated performance of the stereotyped group. Here, we describe two studies in which we investigated the gender gap on the FCI and CSEM. In the first study, we investigated whether asking students to indicate their gender immediately before taking hte CSEM increased the gender gap compared to students who were not asked for this information. In the second study, conducted with over 1100 introductory physics students, we investigated the prevalence of the belief that men generally perform better in physics than women and the extent to which this belief is correlated with the performance of both the female and male students on the FCI.

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arXiv2020

Exploring pedagogical content knowledge of physics instructors using the force concept inventory

The Force Concept Inventory (FCI) has been widely used to assess student understanding of introductory mechanics concepts by educators and physics education researchers. Many of the items on the FCI have strong distractor choices corresponding to students' alternate conceptions in mechanics. Instruction is unlikely to be effective if instructors do not explicitly take into account students' initial knowledge state in their instructional design. We discuss research involving the FCI to evaluate the pedagogical content knowledge of instructors of varying teaching experience. For each item on the FCI, instructors were asked to identify the most common incorrect answer choice of introductory physics students. We also discussed the responses individually with some instructors. Then we used the FCI pre-test and post-test data from a large population (~900) of introductory students to assess the pedagogical content knowledge of the physics instructors related to the FCI. While the physics instructors, on average, performance better than random guessing at identifying introductory students' difficulties with FCI content, they did not identify many common difficulties of introductory physics students. Moreover, the ability to correctly identify students' difficulties was not correlated with the teaching experience of instructors.

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