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1. BOARD # 438: Research Initiation: Facilitating Knowledge Transfer within Engineering Curricula

   https://doi.org/10.18260/1-2--55817  

   De_Rosa, Alexander; Reed, Teri; Van_Horne, Samuel (June 2025, ASEE Conferences)

   It is well-established that students have difficulty transferring theory and skills between courses in their undergraduate curriculum. At the same time, many college-level courses only concern material relating to the course itself and do not cover how this material might be used elsewhere. It is unsurprising, then, that students are unable to transfer and integrate knowledge from multiple areas into new problems as part of capstone design courses, for example, or in their careers. More work is required to better enable students to transfer knowledge between their courses, learn skills and theory more deeply, and to form engineers who are better able to adapt to new situations and solve “systems-level” problems. Various authors in both the cognitive and disciplinary sciences have discussed these difficulties with the transfer of knowledge, and noted the need to develop tools and techniques for promoting knowledge transfer, as well as to help students develop cross-course connections. This work aimed to address these barriers to knowledge transfer, and crucially develop the needed activities and practices for promoting transfer by answering the following research questions: (1) What are the primary challenges experienced by students when tasked with transferring theory and skills from prior courses, specifically mathematics and physics? (2) What methods of prior knowledge activation are most effective in enabling students to apply this prior knowledge in new areas of study? In this paper we present a holistic summary of the work completed under this award. Initially, findings from a series of n=23 think aloud interviews, in which participants were asked to solve a typical engineering statics problem, is presented. These interviews evidenced multiple barriers to knowledge transfer (lack of prior knowledge, accuracy of prior knowledge, conceptual understanding, lack of teaching of applications, language of problem, curricular mapping) that hindered participant success in terms of using their mathematical skills to solve the problem. Findings also indicated the importance of reflective thinking on behalf of the participants to their problem solving success. Based on this initial work using think alouds, a further set of interviews (n=8) were conducted to more deeply examine student conceptions of important mathematical topics that are transferred into engineering such as integration and centroids. Findings indicated that participant knowledge and understanding of centroids in particular was generally based around more intuitive or geometrical conceptions rather than concrete physical or mathematical models. Following up on the initial study of problem solving, the importance of reflection on behalf of the problem solver was also examined in more detail. Comparison of expert (faculty) and novice (student) approaches to problem solving demonstrates how often experts reflect on their progress during the solving process and the manner in which they are able to connect problems in one context to similar problems they have encountered in the past in other areas of engineering. The ability of experts to “chunk” problems into smaller stages and reflect on individual elements of the problem at hand rather than the problem as a whole was also seen to be a differentiating factor in their approach as compared to novices. Similar to this paper, the associated poster presentation will cover a holistic representation of the findings of this study. 

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2. Promoting the Transfer of Math Skills to Engineering Statics

   https://doi.org/10.18260/1-2--47897  

   De_Rosa, Alexander; Van_Horne, Samuel; Reed, Teri (June 2024, ASEE Conferences)

   It has been well documented that students face difficulties in transferring their knowledge and skills learned in prior courses to other areas of the curriculum. These problems with transfer are exacerbated by foundational courses being taught outside the major, as well as the fact that many engineering courses are taught in silos, with little connection being made to the engineering curriculum as a whole. Work is needed to better enable students to see the connections between their courses and transfer the requisite knowledge and skills from prior classes to other areas of the curriculum, and in their careers. This study builds on prior work (published at the ASEE Annual Conference last year) which used a series of think aloud, problem-solving interviews to assess the barriers and challenges students face in transferring knowledge from prior mathematics courses into an applied engineering setting. In this prior work, participants were tasked with solving a rigid body equilibrium problem typical of an engineering statics course but which required integration skills, as well as knowledge of the centroid, to solve. In the course of this study it was found that participants could not solve the problem as they could not determine the centroid of the object in question. Participants cited issues such as a lack of applied problems being taught that used centroids, the use of tabulated data for centroids, and forgetting governing equations as major barriers to being able to solve the problem. A majority of participants did however believe that being shown a general equation used to calculate centroids would have improved their problem solving success. Grounded in the results of this prior study, two separate interventions designed to promote the transfer of knowledge and skills from prior courses were developed and tested with the goal of aiding students in determining the location of the centroid. In order to examine the potential effectiveness of these interventions, a series of (n=11) think aloud interviews were conducted based around the same statics problem as had previously been used. One of these interventions used a mathematical, equation-based-prompt in an attempt to promote knowledge transfer, while the other used a similar prompt but provided in a more applied, engineering context - in this case an excerpt from the notes made by the instructor of the department’s engineering statics class. Findings suggested that an equation-based-prompt was largely unsuccessful at promoting problem solving success. The applied prompt based on prior course notes was more successful in enabling participants to solve the problem and find the centroid. It was unclear however if students truly understood the equations and methods presented in this prompt or whether they were simply able to correctly interpret the prompt and copy the pattern onto their solution. Persistent problems with (English) units and a lack of utilizing a formal problem solving method were also observed. A broader analysis of the study also suggests that students do not fully understand the conceptual underpinnings of the calculations used to determine the location of the centroid of an object. 

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3. Work in Progress: Promoting the Transfer of Math Skills to Engineering Statics

   https://doi.org/10.18260/1-2--44334  

   De_Rosa, Alexander; Reed, Teri; Arndt, Angela (June 2023, ASEE Conferences)

   Students often face difficulties in transferring concepts, knowledge and skills between their courses. This difficulty is especially true of the fundamental math and science courses that are often taught outside the major of the student and without engineering context. At the same time, graduating engineers are moving into an increasingly interdisciplinary workplace that values the ability to work broadly across a range of contexts. More work is needed to better prepare students to adapt their knowledge and skills to new situations and to demonstrate how the various courses and concepts within their curricula relate. In this study, we ask students, teaching assistants and faculty to “think aloud” through their solution to a statics problem that requires mathematical knowledge to be transferred in order to be solved. Two faculty, two teaching assistants and seven undergraduate students are interviewed as they think aloud through the problem. Interview transcripts and solutions to the statics problem are then examined for themes and patterns in responses in order to draw conclusions about the challenges different populations face in transferring knowledge and solving such problems. Observations indicated that students could apply simple integration skills to find the area of a shape when given a curve describing its shape, but could not use integration to find the centroid. The participants did however recall being taught how to calculate centroids in the past and discussed a lack of usage of this skill causing their inability to recall it correctly. Student participants in general displayed simple approaches to problem solving based on reading the problem statement rather than following an engineering approach starting with governing equations. A potential barrier to problem solving success was identified in the varying symbols used by different research participants which could lead to a lack of understanding if these symbols are not clearly explained and defined in a classroom setting. Future work will further examine these themes, as well as developing prompts and activities to promote knowledge transfer and problem solving success. 

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

   https://doi.org/10.1119/5.0207947  

   Maries, Alexandru; Sayer, Ryan; Singh, Chandralekha (June 2025, American journal of physics)

   Parks, Beth (Ed.)

   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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5. Case study on engineering design intervention in physics laboratories

   Kaufman-Ortiz, K.; Morphew, J. W.; Rebello, N. S.; & Rebello, C. M. (January 2022, 2022 ASEE Annual Conference & Exposition Proceedings)

   Problem-solving is a critical skill in the workplace, but recent college graduates are often deficient in problem-solving skills. Introductory STEM courses present engineering students with well-structured problems with single-path solutions that do not prepare students with the problem-solving skills they will need to solve complex problems within authentic engineering contexts. When presented with complex problems in authentic contexts, engineering students find it difficult to transfer the scientific knowledge learned in their STEM courses to solve these integrated and ill structured problems. By integrating physics laboratories with engineering design problems, students are taught to apply physics principles to solve ill-structured and complex engineering problems. The integration of engineering design processes to physics labs is meant to help students transfer physics learning to engineering problems, as well as to transfer the design skills learned in their engineering courses to the physics lab. We hypothesize this integration will help students become better problem solvers when they go out to industry after graduation. The purpose of this study is to examine how students transfer their understanding of physics concepts to solve ill-structured engineering problems by means of an engineering design project in a physics laboratory. We use a case-study methodology to examine two cases and analyze the cases using a lens of co-regulated learning and transfer between physics and engineering contexts. Observations were conducted using transfer lenses. That is, we observed groups during the physics labs for evidence of transfer. The research question for this study was, to what extent do students relate physics concepts with concepts from other materials (classes) through an engineering design project incorporated in a physics laboratory? Teams were observed over the course of 6 weeks as they completed the second design challenge. The cases presented in this study were selected using observations from the lab instructors of the team’s work in the first design project. Two teams, one who performed well, and one that performed poorly, were selected to be observed to provide insight on how students use physics concepts to engage in the design process. The second design challenge asked students to design an eco-friendly way of delivering packages of food to an island located in the middle of the river, which is home to critically endangered species. They are given constraints that the solution cannot disrupt the habitat in any way, nor can the animals come into contact directly with humans or loud noises. Preliminary results indicate that both teams successfully demonstrated transfer between physics and engineering contexts, and integrated physics concepts from multiple labs to complete the design project. Teams that struggle seem to be less connected with the design process at the beginning of the project and are less organized. In contrast, teams that are successful demonstrate greater co-regulated learning (communication, reflection, etc.) and focus on making connections between the physics concepts and principles of engineering design from their engineering course work. 

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