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1. Work in Progress: Implementing Elements of Engineering Design into Calculus

   Mayoral, S. ; Linton, A. S. ; Yousefi, H. ; Huang, J. ( September 2021 , 2021 ASEE Annual Conference)

   null (Ed.)

   In order to contextualize calculus, first-year engineering students take on a semester-long design project that grounds engineering design as an epistemic practice. The project is designed to motivate students to creatively and collaboratively apply mathematical modeling to design roller coasters. Students are asked to engage as engineers and respond to a hypothetical theme park that has solicited design proposals for a new roller coaster. Students are required to use various mathematical functions such as polynomials and exponentials to create a piece-wise function that models the roller coaster track geometry. The entire project is composed of five modules, each lasting three weeks. Each module is associated with a specific calculus topic and is integrated into the design process in a form of a design constraint or performance metric. The module topics include continuity, smoothness, local maxima and minima, inflection points, and area under the curve. Students are expected to refine their models in each module, resulting in the iteration of the previous design to satisfy a new set of requirements. This paper presents the project organization, assessment methods, and student feedback. This work is part of a multi-year course intervention and professional development NSF project to increase the success of underrepresented and women students in engineering. 

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2. Work in Progress: Implementing Elements of Engineering Design into Calculus

   Dr. Salvador Mayoral California State University, Fullerton ( July 2021 , Zone 1 Conference of the American Society for Engineering Education)

   null (Ed.)

   In order to contextualize calculus, first-year engineering students take on a semester-long design project that grounds engineering design as an epistemic practice. The project is designed to motivate students to creatively and collaboratively apply mathematical modeling to design roller coasters. Students are asked to engage as engineers and respond to a hypothetical theme park that has solicited design proposals for a new roller coaster. Students are required to use various mathematical functions such as polynomials and exponentials to create a piece-wise function that models the roller coaster track geometry. The entire project is composed of five modules, each lasting three weeks. Each module is associated with a specific calculus topic and is integrated into the design process in a form of a design constraint or performance metric. The module topics include continuity, smoothness, local maxima and minima, inflection points, and area under the curve. Students are expected to refine their models in each module, resulting in the iteration of the previous design to satisfy a new set of requirements. This paper presents the project organization, assessment methods, and student feedback. This work is part of a multi-year course intervention and professional development NSF project to increase the success of underrepresented and women students in engineering. 

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3. Statewide Coalition: Supporting Underrepresented Populations in Precalculus through Organizational Redesign Toward Engineering Diversity (SC:SUPPORTED) Results from Year One

   Gallagher, E. ; Brown, C.J. ; Brown, D.A. ; Frady, K. ; Marcanikova, M. ; Atamturktur, S. ; Ihekweazu, S. ; Matthews, M. ; Rabb, R. ; Roberts, R. ; et al ( June 2018 , ASEE annual conference & exposition proceedings)

   National data indicate that initial mathematics course placement in college is a strong predictor of persistence to degree in engineering, with students placed in calculus persisting at nearly twice the rate of those placed below calculus. Within the state of South Carolina, approximately 95% of engineering-intending students who initially place below calculus are from in-state. The “Statewide Coalition: Supporting Underrepresented Populations in Precalculus through Organizational Redesign Toward Engineering Diversity (SC:SUPPORTED),” a Design and Development Launch Pilot funded under the National Science Foundation INCLUDES program, is a coalition of secondary districts and post-secondary institutions throughout South Carolina, joining together to address the systemic issue of mathematical preparation for engineering-intending students. First year results include an analysis of system-wide data to identify prevalent educational pathways within the state, and the mathematical milestones along those pathways taken by engineering-intending students. Using individual data for all 21,656 first-year students in engineering-related fields enrolled in a public post-secondary institution in the state, we identified specific pathways with high rates of placement in or above calculus, pathways with balanced rates of placement in/below calculus, pathways with high rates of placement below calculus, and ‘missing’ pathways, defined as those which produce disproportionately few engineering-intending students [5]. For example, rates of placement in or above calculus among engineering majors ranged from below 17% in eight counties of origin to nearly 100% in four counties of origin. First-year results also included analysis of qualitative data from focus groups conducted at key points along each pathway category to identify factors that do not readily appear in institutional data (e.g., impact of guidance counselor recommendations in selection of last high school math course taken). Broad themes emerging from the focus groups provided additional insight into potential interventions at multiple points along educational pathways. Focus group data are contributing to the development of a survey to be administered in Year 2 to all post-secondary engineering majors statewide, with the goal of creating structural equation models of the factors leading to placement at or below the calculus level upon entry into an engineering major. These models will then allow us to design targeted interventions at points of maximal potential impact. 

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4. A MATLAB App to Introduce Chemical Engineering Design Concepts to Engineering Freshmen through a Pharmaceutical Dosing Case Study

   C. V. Eastep, G. K. ( April 2019 , Chemical engineering education)

   Hands-on design experiences to introduce first year students to chemical engineering are limited.[1] The College of Engineering, Architecture and Technology (CEAT) Summer Bridge Program at Oklahoma State University is a three-week camp designed to acclimate first year students to college life while providing calculus and physics preparatory short courses and design experiences from multiple disciplines in CEAT.[2] Since first-year students enjoy and value hands-on experiences,[2] we have developed a hands-on design module on the topic of pharmaceutical dosing for the chemical engineering portion of the Summer Bridge Program. We have taught the design module in nine sessions that were each two hours per day over three days during the 2015 – 2018 offerings of the Summer Bridge Program. The detailed lesson plan for using the design module to introduce mass balance and design concepts and an overview of the initial version of the MATLAB app were discussed in our previous ASEE conference proceedings paper.[2] In the present work, we discuss a redesigned MATLAB app (Figure 1) that has been expanded from two drugs and four cases to five drugs and eight cases. The new version of the MATLAB app is available as SB17CHE.mlappinstall on our GitHub repository.[3] Any future updates to the software will be released to the same archive. Additionally, we include a new section focused on our experiences in teaching chemical engineering design concepts using the MATLAB app and in responding to typical student questions. Our aim is to provide a tutorial for other educators interested in using the MATLAB app in their classroom or outreach activities related to chemical engineering design. For those interested in creating similar computational instructional tools, we have published details regarding the software implementation of the app and its documentation.[4] 

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5. Supporting Design Capabilities Across the ECE Curriculum, the Role of DAMNED Projects

   Lamparter, M. A. ( January 2022 , American Society for Engineering Education Annual Conference and Exhibition)

   This paper reports on the development of a second-year design course intended to support student design capabilities in a coherent four-year design thread across an Electrical and Computer Engineering (ECE) curriculum. At Bucknell University students take four years of design starting by building an Internet of Things (IoT) sensor module in first year, a robust IoT product in the second year, using the product to address societal challenges in the third year, followed by a culminating capstone experience in the fourth year. While the first year introduces students broadly to the ECE curriculum, the second-year course reported here is designed to provide students’ abilities in electronic device fabrication and test and measurement, areas students at Bucknell have had little previous exposure to. This course is designed to anchor the remainder of the design sequence by giving all students the capability to independently fabricate and test robust electronic devices. The second-year course has students individually build an IoT appliance—the Digital / Analog Modular Neopixel-based Electronic Display, or DAMNED project—by going through twelve sequential steps of design from simulation through PCB layout, device and enclosure fabrication, to application development. Because this course is most students’ first encounter with electronic fabrication and test and measurement techniques, the course has students build the project in twelve steps. Each weekly step is heavily scaffolded to allow students to work independently out of class. The paper discusses how such scaffolding is supported through design representations such as block diagrams, pre-class preparation, rapid feedback, and the use of campus makerspaces and educational software tools. The paper also shares results of making iterative improvement to the course structure using action research, and early indications that students are able transfer skills into subsequent design courses. 

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