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1. Factors Contributing to the Problem-Solving Heuristics of Civil Engineering Students

   Geston, Sean L. ; Brown, Shane ; Barner, Matthew S. ; Abadi, Masoud G. ; Hurwitz, David S. ( January 2019 , ASEE annual conference & exposition)

   Problem solvers vary their approaches to solving problems depending on the context of the problem, the requirements of the solution, and the ways in which the problems and material to solve the problem are represented, or representations. Representations take many forms (i.e. tables, graphs, figures, images, formulas, visualizations, and other similar contexts) and are used to communicate information to a problem solver. Engagement with certain representations varies between problem solvers and can influence design and solution quality. A problem solver’s evaluation of representations and the reasons for using a representation can be considered factors in problem-solving heuristics. These factors describe unique problem-solving behaviors that can help understand problem solvers. These behaviors may lead to important relationships between a problem solver’s decisions and their ability to solve a problem and overall quality of the solution. Therefore, we pose the following research question: How do factors of problem-solving heuristics describe the unique behaviors of engineering students as they solve multiple problems? To answer this question, we interviewed 16 undergraduate engineering students studying civil engineering. The interviews consisted of a problem-solving portion that was followed immediately by a semi-structured retrospective interview with probing questions created based on the real time monitoring of the problem-solving interview using eye tracking techniques. The problem-solving portion consisted of solving three problems related to the concept of headloss in fluid flow through pipes. Each of the three problems included the same four representations that were used by the students as approaches to solving the problem. The representations are common ways to present the concept of headloss in pipe flow and included two formulas, a set of tables, and a graph. This paper presents a set of common reasons for why decisions were made during the problem-solving process that help to understand more about the problem-solving behavior of engineering students. 

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2. Designing a Curriculum to Broaden Middle School Students' Ideas and Interest in Engineering

   Stevens, Shawn Y. ; Littenberg-Tobias, Joshua ; McKneally, Ranida ; Cayko, Ethan ( June 2023 , 2023 ASEE Annual Conference & Exposition)

   Designing a Curriculum to Broaden Middle School Students’ Ideas and Interest in Engineering As the 21st century progresses, engineers will play critical roles in addressing complex societal problems such as climate change and nutrient pollution. Research has shown that more diverse teams lead to more creative and effective solutions (Smith-Doerr et al., 2017). However, while some progress has been made in increasing the number of women and people of color, 83% of employed engineers are male and 68% of engineers are white (NSF & NCSES, 2019). Traditional K–12 approaches to engineering often emphasize construction using a trial-and-error approach (ASEE, 2020). Although this approach may appeal to some students, it may alienate other students who then view engineering simply as “building things.” Designing engineering experiences that broaden students’ ideas about engineering, may help diversify the students entering the engineering pipeline. To this end, we developed Solving Community Problems with Engineering (SCoPE), an engineering curriculum that engages seventh-grade students in a three-week capstone project focusing on nutrient pollution in their local watershed. SCoPE engages students with the problem through local news articles about nutrient pollution and images of algae covered lakes, which then drives the investigation into the detrimental processes caused by excess nutrients entering bodies of water from sources such as fertilizer and wastewater. Students research the sources of nutrient pollution and potential solutions, and use simulations to investigate key variables and optimize the types of strategies for effectively decreasing and managing nutrient pollution to help develop their plans. Throughout the development process, we worked with a middle school STEM teacher to ensure the unit builds upon the science curriculum and the activities would be engaging and meaningful to students. The problem and location were chosen to illustrate that engineers can solve problems relevant to rural communities. Since people in rural locations tend to remain very connected to their communities throughout their lives, it is important to illustrate that engineering could be a relevant and viable career near home. The SCoPE curriculum was piloted with two teachers and 147 seventh grade students in a rural public school. Surveys and student drawings of engineers before and after implementation of the curriculum were used to characterize changes in students’ interest and beliefs about engineering. After completing the SCoPE curriculum, students’ ideas about engineers’ activities and the types of problems they solve were broadened. Students were 53% more likely to believe that engineers can protect the environment and 23% more likely to believe that they can identify problems in the community to solve (p < 0.001). When asked to draw an engineer, students were 1.3 times more likely to include nature/environment/agriculture (p < 0.01) and 3 times more likely to show engineers helping people in the community (p< 0.05) Additionally, while boys’ interest in science and engineering did not significantly change, girls’ interest in engineering and confidence in becoming an engineer significantly increased (Cohen’s D = 0.28, p<0.05). The SCoPE curriculum is available on PBS LearningMedia: https://www.pbslearningmedia.org/collection/solving-community-problems-with-engineering/ This project was funded by NSF through the Division of Engineering Education and Centers, Research in the Formation of Engineers program #202076. References American Society for Engineering Education. (2020). Framework for P-12 Engineering Learning. Washington, DC. DOI: 10.18260/1-100-1153 National Science Foundation, National Center for Science and Engineering Statistics. (2019). Women, Minorities, and Persons with Disabilities in Science and Engineering: 2019. Special Report NSF 17-310. Arlington, VA. https://ncses.nsf.gov/pubs/nsf21321/. Smith-Doerr, L., Alegria, S., & Sacco, T. (2017). How Diversity Matters in the US Science and Engineering Workforce: A Critical Review Considering Integration in Teams, Fields, and Organizational Contexts, Engaging Science, Technology, and Society 3, 139-153. 

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3. Patterns of Using Multimodal External Representations in Digital Game-Based Learning

   https://doi.org/10.1177/07356331221087771  

   Pan, Yanjun ; Ke, Fengfeng ; Dai, Chih-Pu ( January 2022 , Journal of Educational Computing Research)

   Although prior research has highlighted the significance of representations for mathematical learning, there is still a lack of research on how students use multimodal external representations (MERs) to solve mathematical tasks in digital game-based learning (DGBL) environments. This exploratory study was to examine the salient patterns problem solvers demonstrated using MERs when they engaged in a single-player, three-dimensional architecture game that requires the acquisition and application of math knowledge and thinking in game-based context problem solving. We recorded and systematically coded the behaviors of using MERs demonstrated by 20 university students during 1.5 hours of gameplay. We conducted both cluster and sequential analyses with a total of 2654 encoded behaviors. The study indicated that the maneuverable visual-spatial representation was most frequently used in the selected architecture game. All of the participants performed a high level of representational transformations, including both treatment and conversion transformations. However, compared to the students in the second cluster who were mostly non-game players, students in the first cluster (composed of mainly experienced video game players) displayed a higher frequency of interacting with various MERs and a more cautious and optimized reflective problem-solving process. 

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4. Spatial Skills and Design Problem Scoping Behaviors in Undergraduate Engineering Students

   Raju, Gibin ; Sorby, Sheryl ( December 2023 , Research on Engineering Education Symposium)

   Context Engineering design skills are essential for engineering students to succeed in their careers. Engineering design is a skill that is in high demand in the current job market and should be prioritized in education. Purpose While design has been acknowledged as a cognitive skill in research, there exists limited literature addressing the cognitive foundations of design thinking. Hence, engineering educators must understand the engineering design process, as well as the different ways students approach design problem-solving and the potential reason behind these differences. To understand how people solve design problems, we need to consider how their minds work and the strategies they use. Spatial ability stands out as a cognitive factor that is crucial for designers and holds significance in well-established theories and models of intelligence. However, to date, research exploring the impact of spatial ability on design thinking and its influence on problem-scoping behaviors remains limited. This paper examines how engineering students’ spatial skills influence how they define the scope of open-ended design problems. The central research question that guides this paper is “How do design problem-scoping behaviors differ for engineering students based on their spatial scores?”. Methods The researchers used a mixed methods research approach to answer their research question, collecting qualitative and quantitative data in two phases. One hundred twenty-seven undergraduate engineering students completed four tests that measure spatial reasoning skills in the quantitative phase and 101 students returned to finish the three design tasks in the second phase. This paper will examine the performance of students with low spatial and high spatial skills on one of the completed design tasks. Outcomes From the study, it was clear that spatial skills have an impact on the design-scoping behaviors of the undergraduate engineering students. It was inferred that high spatial skill visualizers emphasized the technical details of the design problem whereas low spatial skill visualizers emphasized the context of the design problem during their problem-scoping behavior. A Mann-Whitney test revealed there was a statistically significant difference in detail- and context-focused segments between the high and low spatial visualizer groups. Conclusion This research study confirms that a relationship exists between spatial and design skills. The study also found that undergraduate engineering students with different levels of spatial skills had different approaches to scoping design problems. 

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5. Characterization of problem types in statics textbooks.

   Therriault, D. J. ( January 2022 , Proceedings of the American Society for Engineering Education)

   This work in progress research paper considers the question, what kind of problems do engineering students commonly solve during their education? Engineering problems have been generally classified as ill-structured/open-ended or well-structured/closed-ended. Various authors have identified the characteristics of ill-structured problems or presented typologies of problems. Simple definitions state that well-structured problems are simple, concrete, and have a single solution, while ill-structured problems are complex, abstract, and have multiple possible solutions (Jonassen, 1997, 2000). More detailed classifications have been provided by Shin, Jonassen, and McGee (2003), Voss (2006), and Johnstone (2001). It is commonly understood that classroom problems are well-structured while workplace problems are ill-structured, but we cannot find any empirical data to confirm or deny this proposition. Engineers commonly encounter ill-structured problems such as design problems in the field therefore problem-solving skills are invaluable and should be taught in engineering courses. This research specifically looks at the types of problems present in the two most commonly used statics textbooks (Hibbeler, 2016; Beer, et al., 2019). All end-of-chapter problems in these textbooks were classified using Jonassen’s (2000) well-known typology of problem types. Out of 3,387 problems between both books, 99% fell into the algorithmic category and the remaining fell into the logic category. These preliminary results provide an understanding of the types of problems engineering students most commonly encounter in their classes. Prior research has documented that textbook example problems exert a strong influence on students' problem-solving strategies (Lee et al., 2013). If instructors only assign textbook problems, students in statics courses do not see any ill-structured problems at that stage in their education. We argue that even in foundational courses such as statics, students should be exposed to ill-structured problems. By providing opportunities for students to solve more ill-structured problems, students can become more familiar with them and become better prepared for the workforce. Moving forward, textbooks from several other courses will be analyzed to determine the difference between a fundamental engineering course such as statics and upper-level courses. This research will allow us to determine how the problem types differ between entry level and advanced classes and reveal if engineering textbooks primarily contain well-structured problems. Keywords: problem solving, textbooks, ill-structured problems 

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