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Work in Progress: Implementing Elements of Engineering Design into Calculus

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Conference

2021 ASEE Virtual Annual Conference Content Access

Location

Virtual Conference

Publication Date

July 26, 2021

Start Date

July 26, 2021

End Date

July 19, 2022

Conference Session

Mathematics Division Technical Session 3

Tagged Division

Mathematics

Page Count

11

Permanent URL

https://peer.asee.org/38169

Download Count

19

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Paper Authors

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Salvador Mayoral California State University, Fullerton

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Dr. Salvador Mayoral received his Ph.D. in Mechanical and Aerospace Engineering from the University of California, Irvine in 2013. As a graduate student, Dr. Mayoral worked on the shielding of jet noise by a hybrid wing body aircraft. In 2014, Dr. Mayoral joined the Department of Mechanical Engineering at California State University, Fullerton where he currently serves as an Assistant Professor. As the PI of the Wind Tunnel Laboratory, his research interests span the areas of aeroacoustics, ground-effect aerodynamics, and has recently expanded his interests into the hydrodynamics of marine life. Moreover, Dr. Mayoral is a CoPI of the NSF funded “Advancing Student Success by Utilizing Relevant Social-cultural and Academic Experiences for Undergraduate Engineering, Computer Science Students” (ASSURE-US) Project.

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Antoinette Sherrise Linton California State University, Fullerton

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Dr. Antoinette Linton is an Associate Professor of Secondary Science Education in the Department of Secondary Education at CSU Fullerton. She is currently Co-PI on NSF grant called Advancing Student Success by Utilizing Relevant Social-Cultural and Academic Experiences for Undergraduate Engineering, Computer Science Students (ASSURE-US) (NSF Award #1832536). Her area of expertise includes science education, teacher education, and epistemic practices that operationalize the NGSS for students and teachers. She is the Subject Area Coordinator of science, and her most recent work has been in program development and professional development focused on anti-racist, just, equitable, diverse and inclusive (JEDI) education practices. Dr. Linton has been in education for over 20 years and completed her Ed.D. from USC in 2011. Her major publications include, A Clinical Classroom Process, a chapter in Rethinking Field Experiences in Preservice Teacher Preparation; Teaching Biology in the Age of the Next Generation Science Standards, a chapter in Multicultural Curriculum Transformation in Science Technology Engineering and Mathematics, and her current work, Developing a Mentorship Practice Through Self-Study in the Journal of School Leadership. She is also the lead faculty for the Secondary Education department’s anti-racism webinar series and consultant for the schools of Engineering and Computer Science, Communications and Social Work at CSU Fullerton.

California State University System Chancellor’s Office Center for Closing the Opportunity Gap Webinar series: Preservice Teacher Candidate Epistemic Agency: Acquiring the Professional Skills of Becoming a Science Teacher” on March 3, 2021. The webinar discussed the interconnected learning experiences that occur in three courses in a credential program. Within these courses are learning experiences grounded in a particular theory of learning teaching and epistemic agency for candidates. We offer a sincere thank you to our presenter:
Dr. Antoinette Linton (CSU Fullerton)

Dr. Linton is a Professor and Subject Area Coordinator for Secondary Science at CSU Fullerton. Her area of expertise includes science education, teacher education, and epistemic practices that operationalize the NGSS for students.


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Hassan Yousefi California State University, Fullerton

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Jidong Huang California State University, Fullerton

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Dr. Jidong Huang is a Professor of Electrical Engineering at California State University, Fullerton. His research had been supported by National Science Foundation (NSF), Federal Aviation Administration (FAA) and multiple private companies. Currently, his research interests are focused on innovative approaches for STEM teaching and learning; robotics; the design of high-precision, integrated navigation system with high integrity; and their indoor/outdoor applications. He is a member of Institute of Navigation (ION); and a senior member of Institute of Electrical and Electronics Engineers (IEEE).

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Abstract

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.

Mayoral, S., & Linton, A. S., & Yousefi, H., & Huang, J. (2021, July), Work in Progress: Implementing Elements of Engineering Design into Calculus Paper presented at 2021 ASEE Virtual Annual Conference Content Access, Virtual Conference. https://peer.asee.org/38169

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