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Engineers use models to validate the solutions they build. Professors also ask engineering students for functional prototypes, mathematical models, and diagram models that show the functionality of the students' designs. Typically, students' grades are based upon their model outcomes; professors have no knowledge of the start-to-finish details of the process used by the students in modeling and solution. This process includes all of the students' work from the initial problem specification to the moment they hand in their final product. How is it possible to help students during this solution process if that process is not understood? Understanding how students approach problems and how they achieve resolutions is crucial to answering that question. One way to enhance the knowledge about the way engineering students approach problems is related with understanding their use of models. Two questions have been answered in this work to contribute to that understanding:
Advances in engineering education, 2017
In this paper we examine a case study of a pedagogical strategy that focuses on the teaching of modeling as a habit of mind and practice for novice designers engaged in engineering design challenges. In an engineering design course, pre-service teachers created modeling artifacts in the form of conceptual models, graphical models, mathematical models and finally working models. Data also came from the students’ work in the form of student-generated mind maps, design journals, final design products and their accompanying documentation, as well as peer checking procedures. The results suggest that a focus on modeling in an engineering design challenge can be beneficial to both student and instructor. Modeling not only served as a vehicle for representation, but also as an aid in assessment and documentation of students’ cognitive processes.
2010 Annual Conference & Exposition Proceedings
Increasingly students of all ages should be engaged in science, engineering and computational activities as it is used across an increasing amount of subject areas. Inquiry-based elementary science education provides students with some opportunities to engage in authentic science but the subject area expertise required by teachers can be daunting and time consuming. Currently engineering education professionals are looking for opportunities to positively influence elementary (STEM) experience but the school curriculum demands limit their opportunity to expose students to the benefits of engineering problem solving. Through professional development we have instituted some graphic-based modeling techniques that support and extend current inquiry science curriculum activities and leverage the engineering design cycle. Research and findings done as part of a two-year NSF-supported project in elementary education will be presented, demonstrating how modeling activities in the form of student-produced drawings and notebook entries have been used to help explore scientific and mathematical concepts underlying engineering problems. Specifically, kit-based science and technology education activities that actively support engineering problem-based learning are used as a context for exploring the potential of these graphic-based modeling activities.
Increasingly students of all ages should be engaged in science, engineering and computational activities as it is used across an increasing amount of subject areas. Inquiry-based elementary science education provides students with some opportunities to engage in authentic science but the subject area expertise required by teachers can be daunting and time consuming. Currently engineering education professionals are looking for opportunities to positively influence elementary (STEM) experience but the school curriculum demands limit their opportunity to expose students to the benefits of engineering problem solving. Through professional development we have instituted some graphic-based modeling techniques that support and extend current inquiry science curriculum activities and leverage the engineering design cycle. Research and findings done as part of a two-year NSF-supported project in elementary education will be presented, demonstrating how modeling activities in the form of student-produced drawings and notebook entries have been used to help explore scientific and mathematical concepts underlying engineering problems. Specifically, kit-based science and technology education activities that actively support engineering problem-based learning are used as a context for exploring the potential of these graphic-based modeling activities.
IEEE Transactions on Education
This study assesses more than 800 students' awareness of engineering model types before and after taking two first-year engineering courses across two semesters and evaluates the effect of each course. Background: All engineers must be able to apply and create models to be effective problem solvers, critical thinkers, and innovative designers. To help them develop these skills, as a first step, it is essential to assess how to increase students' awareness of engineering models. According to Bloom's taxonomy, the lower remember and understand levels, which encompass awareness, are necessary for achieving the higher levels, such as apply, analyze, evaluate, and create. Research Questions: To what extent did student awareness of model types change after taking introductory engineering courses? To what extent did student awareness of model types differ by course or semester? Methodology: In this study, a survey was designed and administered at the beginning and end of the semester in two first-year engineering courses during two semesters in a mid-sized private school. The survey asked students questions about their definition of engineering modeling and different types of models. Findings: Overall, student awareness of model types increased from the beginning of the semester toward the end of the semester, across both semesters and courses. There were some differences between course sections, however, the students' awareness of the models at the end of the academic year was similar for both groups.
2017 ASEE Annual Conference & Exposition Proceedings
She teaches a MATLAB programming course to mostly first-year engineering students. She primarily investigates how students develop mathematical models and simulations and effective feedback. She graduated from the School of Engineering Education at Purdue University with a doctorate in engineering education. She previous conducted research in Purdue University's First-Year Engineering Program with the Network for Nanotechnology (NCN) Educational Research team, the Model-Eliciting Activities (MEAs) Educational Research team, and a few fellow STEM education graduates for an obtained Discovery, Engagement, and Learning (DEAL) grant. Prior to attending Purdue University, she graduated from Arizona State University with her B.S.E. in Engineering from the College of Technology and Innovation, where she worked on a team conducting research on how students learn LabVIEW through Disassemble, Analyze, Assemble (DAA) activities.
2017
Engineering applications are affected by advancements in technologies. Therefore, teaching strategies should be aligned according to the practices endorsed by industry. While the use of computer algebra systems (CAS) has been well received and appreciated by South African engineering departments, the convenience of technology is no safeguard to better learning. Learning with CAS allows engineering diploma students to compare symbolic, numeric and graphical representations of the same mathematical concept. However, this embodies a shift from a predominantly paper-and-pen environment to technology-rich activities with high demands on visualisation. Due to restricted visualisation exposure, students struggle to interpret computer generated graphs when first exposed to CAS. This paper reports on the influence of techno-modelling tasks on the visualisation of engineering diploma students at a metropolitan university. An acclaimed advantage of a modelling approach is that students are more inclined to develop advanced levels of understanding. This is in line with engineering bodies who call for future engineers who will be expected to act independently, to make decisions and to face novel problems where higher levels of cognitive thinking are expected. The research adopted a qualitative exploratory design. Participants were two second year cohorts studying towards a National Diploma in Engineering at a South African university. One cohort followed the current approach but this was augmented with two mathematical modelling tasks for the other cohort. Content analysis was used to explore both cohorts' electronic CAS worksheets for meaningful responses to interpretive questions. Most students who completed the modelling tasks were able to interpret computer generated graphs meaningfully, unlike students who were not exposed to mathematical modelling. Our research concluded that modelling tasks could elicit visualisation processes that could not be traced in the work of students who followed only the current approach. Benefits resulting from techno-modelling tasks may inspire new opportunities for engineering diploma students to model the world in which they live, learn and eventually will work in.
International Journal of Technology and Design Education, 2022
In this study, we aim to investigate activities using models in a design project in three technology classrooms. Activities that use models are important for students’ development of knowledge and skills connected to the design process. Nevertheless, few empirical studies have thus far examined how models and modelling are used in a classroom environment when students and teachers are involved in a design project. In order to meet our aim, we video-recorded eight lessons from three different technology classrooms (students aged 13–15), where the students were involved in different problem-solving activities using models and modelling. The three projects had different specifications, and the students’ degrees of freedom thereby varied. The video recordings were analysed using a qualitative content analysis. The analysis resulted in seven activities being identified where the teachers and students talked about models and modelling in order to solve the problem. The results also reveal...
2015 ASEE Annual Conference and Exposition Proceedings, 2015
2022
Mathematics constitutes a key component in engineering education. Engineering students are traditionally offered a number of mathematics courses which provide the knowledge needed at the workplace. Unfortunately, many students perceive mathematics as a discipline that teaches mostly procedures not relevant to their
Design Studies, 2010
Using verbal protocol analysis, we report how model building has the potential to aid engineering students in solving a design task. From our analysis of 8 students in varying engineering disciplines, we found that physical construction of a model during an open-ended design task helped students generate and evaluate ideas, better visualize their ideas, and helped students uncover differences between real behavior and the conceptual model used to predict that behavior. Model building also enhanced creative thinking and helped students become more aware of their own meta-cognitive design strategies. We also found that, regardless of when they began sketching or building, the process was fairly similar in length for most of these students.
International Journal of Recent Technology and Engineering, 2019
Technology plays a major role in the easement of teaching and learning in engineering education. Novel techniques adopted in the recent days, have resulted in a huge success on the part of educators. These techniques create a great difference in the instructional delivery, with real-time impact on the understanding and learning of students. In this context, Model Based Teaching and Learning (MBTL) is identified as one such resourceful method to teach certain educational concepts which require imagination. Use of models within the pedagogy of engineering education promotes meta cognitive thinking skills of students. The purpose of this research was to examine the advantages of adopting model-based teaching and learning for the course, Engineering Drawing for first year engineering students. A class of 120 Engineering students during the second semester participated in the research. The students were randomly grouped into two groups of each 60 in order to receive different treatments. The first group was identified as the Control group (CG) which was taught concepts of Engineering Drawing using traditional lecture method, while the second group, the Experimental Group (EG) was facilitated with models related to projection of lines and orthographic projections. The results revealed that using models had a significant impact on the academic achievement of the students. Based on their performance in the continuous assessment, it was concluded that models were very helpful in improving the marks, and also played an effective role in the comprehension of concepts.
ineer.org
This article argues for a future-oriented, inclusion of engineering modeling activities in introductory engineering courses at the university level. Engineering modeling activities provide a rich source of meaningful engineering problem situations that capitalise on and extend students' ...
2010
This study used Verbal Protocol Analysis (VPA) to investigate the cognitive process of 8 undergraduate engineering students during a hands-on model building design task. The present paper will focus on one aspect that emerged from this research: the paramount importance of correctly interpreting the problem. Although this may seem simplistic, correctly framing or interpreting the problem (which is distinct from identifying the problem) was a crucial and pivotal point for these students. Without it, the developmental process stalled and the design path became more haphazard. Once students were able to correctly interpret the problem, their path to a viable solution progressed much more smoothly and efficiently.
2010
Engineering capstone design is a culminating experience that is intended to provide an opportunity for students to apply their previous engineering knowledge to develop solutions to open-ended problems. Capstone design problems are often analytically complex, and their solutions integrate several disciplinary fundamentals, as well as more general design process knowledge. Often, the expectation is that a thorough or rigorous solution to a capstone level problem would include some type of computational or mathematical analysis appropriate to that discipline. However, engineering students often struggle in recognizing when and how disciplinary knowledge (e.g. mathematical analysis inherent in many engineering fundamentals) applies to their particular design solutions. This paper describes the strategy for and initial results of a study exploring how students use mathematical reasoning when developing design solutions. Specifically, we want to understand where students struggle in the ...
2019 ASEE Annual Conference & Exposition Proceedings
Tec de Monterrey; and a M.S. in Educational Technology and a Ph.D. in Engineering Education from Purdue University. Her research is focused on identifying how model-based cognition in STEM can be better supported by means of expert technological and computing tools such as cyber-physical systems,visualizations and modeling and simulation tools.
2014 ASEE Annual Conference & Exposition Proceedings
Computational tools are becoming more useful pedagogical tools because of their ability to create and display multiple representational forms, often interactively, and as a function of time. Specifically, representational artifacts such as graphs, visual models, and simulations of physical or non-physical phenomena can serve as tools in guiding inquiry and constructing solutions in engineering design. However, there is a limited amount of research that describes the computational practices of engineering students. In particular, there is a need to investigate the way engineering students use computational tools for developing solutions to complex design problems beyond the first year of engineering. This study investigates graduate students' computational practices that inform their problem-solving processes to accomplish a design task. In this paper we define computational practices as a system of activities carried out to create symbolic representations. These representations refer to simplifications of systems or artifacts that delete, maintain and distort aspects of a phenomenon in order to support scientific inquiry and design activity. The research question from this study is: How do graduate students engage modeling and computational practices towards problem solving in a material science rechargeable battery design course? A theoretical framework based on Lev Vygostky's Activity theory was used for understanding and describing the role of computational resources used by lower level graduate students for problem solving. In particular, the study investigated two groups of participants that were tasked to utilize different computational resources: analytical or computational. A qualitative analysis was used to perform an in-depth examination of students' solutions consisting of three elements; the subject, mediating tools and the task objectives. The results of this study will be beneficial in expanding the current work in investigating the role of representations for conceptual change in engineering and provide insights into how students process knowledge when provided with simulation tools and computational methods for solving design problems.
Mathematical Modelling for Engineering Diploma Students: Perspectives on Visualisation, 2017
This inquiry aims to determine the influence of mathematical modelling on engineering diploma students' visualisation when solving differential equations (DE) with a computer algebra system (CAS). In CAS environments, students usually struggle to interpret numerical tables and computer graphs derived from symbolic DEs and often leave interpretative questions unanswered. Participants comprised 80 second year vocational engineering diploma students at a comprehensive university. Students' abilities to make contextual connections between different representations through a model-eliciting task were assessed using content analysis. By reversing the curricular approach, most participants constructed a meaningful DE that deepened understandings of the world in which they modelled. The modelling environment stimulated development of adequate schema through experimentation with paper-and-pen and CAS technologies.
2011
Engineering design involves insightful identification of factors influencing a system and systematic unpacking of specifications/requirements from goals. However, many engineering students are slow to articulate the major problems to be solved and the sub problems associated with achieving the main design goals and constraints. Prior research in design describes students" premature termination of solution finding to select a single idea. Then all other design decisions are constrained by this initial decision [1]. In this paper, we report how first-year engineering (FYE) students attempted to translate given design goals into sub-problems to be solved or questions to be researched. We found that, instead of decomposing the problem through further analysis and sense making, many FYE students tended to "restate" the goal, identify one major function, and then use hands on building as the central creative process. Further, students claimed they used a systematic design process, but observations of their problem solving process and teaming skills indicated a different behavior. Further investigation indicated that many FYE students could identify the superficial features from the problem statement, but they were not able to identify the implicit logical steps or deep structure of the problem. Our current data provided the baseline of how FYE students abstract and interpret information from a design goal to generate a specific problem statement. We are interested in treatments to improve students" ability to recognize critical features of a given context and encourage taking multiple perspectives to identify alternative solutions. We are combining the use of graphical representational tools as organizational tools to support teams collaboration and we encourage opportunities to reflect and refine their design process. This research is relevant to engineering instructors/researchers who want to develop students" ability to deal with complex design challenges and efficiently decompose, analyze and translate the problem statements into meaningful functional specifications, stakeholder requirements and a plan of action.
2011 ASEE Annual Conference & Exposition Proceedings
Engineering design involves insightful identification of factors influencing a system and systematic unpacking of specifications/requirements from goals. However, many engineering students are slow to articulate the major problems to be solved and the sub problems associated with achieving the main design goals and constraints. Prior research in design describes students" premature termination of solution finding to select a single idea. Then all other design decisions are constrained by this initial decision [1]. In this paper, we report how first-year engineering (FYE) students attempted to translate given design goals into sub-problems to be solved or questions to be researched. We found that, instead of decomposing the problem through further analysis and sense making, many FYE students tended to "restate" the goal, identify one major function, and then use hands on building as the central creative process. Further, students claimed they used a systematic design process, but observations of their problem solving process and teaming skills indicated a different behavior. Further investigation indicated that many FYE students could identify the superficial features from the problem statement, but they were not able to identify the implicit logical steps or deep structure of the problem. Our current data provided the baseline of how FYE students abstract and interpret information from a design goal to generate a specific problem statement. We are interested in treatments to improve students" ability to recognize critical features of a given context and encourage taking multiple perspectives to identify alternative solutions. We are combining the use of graphical representational tools as organizational tools to support teams collaboration and we encourage opportunities to reflect and refine their design process. This research is relevant to engineering instructors/researchers who want to develop students" ability to deal with complex design challenges and efficiently decompose, analyze and translate the problem statements into meaningful functional specifications, stakeholder requirements and a plan of action.
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