- uity issues in mathematics. She has studied problem solving in introductory statistics students, the impact of individualized online foundational math courses, and co-founded a research-based STEM Fellows pro- gram. Present work also includes the analysis for an ongoing discrimination study examining the lived experiences of undergraduate students. ©American Society for Engineering Education, 2023 Work-in-Progress: A Structural Change in Calculus SequencesIntroductionAs our society has become technology reliant, the need for a STEM trained populace grows[1],[2]. Despite this growing need, the US is behind other nations in math and science academicperformance and in the percentage of STEM majors
contribute meaningful insights into the effective integration of technology in education, aspiring to shape the future of STEM learning environments to be more engaging and accessible for all students.Comlan de Souza, California State University, FresnoKeith Collins Thompson, University of California MercedKhang Tran, California State University, FresnoYue Lei, University of California, MercedErica M Rutter, University of California, MercedDr. Lalita G Oka, California State University, Fresno Dr. Lalita Oka is an Associate Professor in the Department of Civil and Geomatics Engineering at the California State University, Fresno. She teaches undergraduate and graduate courses in Geotechnical Engineering. Her research interests
sections describethe context of the study, data collection, data analysis and procedures followed to interpret thedata collected.Participants and ContextThis study, which is part of a larger study analyzing the development of critical consciousnessthrough engineering design [19] involved a smaller subset of the data focusing on measurementprocesses and sense-making. In this paper, we describe the results obtained from two groups offirst-year engineering students selected for the case study. These students were enrolled in acourse titled The Impact of modern technologies on society, which also fulfills the social andbehavioral sciences core curriculum requirement at the institution. The course was conducted at aHispanic-Serving Institution with a
Olson, A.M., 2000. Redesigning the calculus sequence at a researchuniversity: issues, implementation, and objectives. International Journal of MathematicalEducation in Science and Technology, 31(1), pp.71-82.[9] Talbert, R., 2014, June. The inverted classroom in introductory calculus: Best practices andpotential benefits for the preparation of engineers. In 2014 ASEE Annual Conference &Exposition (pp. 24-1233).[10] Seymour, E., Wiese, D., Hunter, A. and Daffinrud, S.M., 2000, March. Creating a bettermousetrap: On-line student assessment of their learning gains. In National Meeting of theAmerican Chemical Society (pp. 1-40). San Francisco, CA, USA: National Institute of ScienceEducation, University of Wisconsin-Madison.[11] Garofalo, J. and
Paper ID #40239Exploiting a Grading Option to Measure Mathematics Confidence ofEngineering StudentsDr. Gianluca Guadagni, University of Virginia PhD in Mathematics Associate Professor, School of Data Science, University of Virginia.Dr. Deepyaman Maiti, University of Virginia Deepyaman Maiti is currently an Assistant Professor in the Department of Engineering and Society in the School of Engineering and Applied Science at the University of Virginia. He teaches Introduction to Engineering and Applied Mathematics classes, and seFarzad Shafiei Dizaji ©American Society for Engineering Education, 2023
/Academic Variables Related to Engineering PersistenceThe importance of mathematical achievement and preparation to engineering persistence hasbeen well documented. Seymour and Hewitt [6] posited over two decades ago that if students areproficient in mathematics and science at an early age, then this proficiency encourages them tochoose science, technology, engineering and mathematics (STEM) undergraduate majors alongwith employment in STEM fields such as engineering [1]. Veenstra and colleagues [7]highlighted key differences regarding factors that predict retention and academic successbetween engineering majors and other majors. They found that high school academicachievement in mathematics and sciences are weighted heavily for engineering majors
Paper ID #41094Understanding Students in Times of Transition: The Impact of the COVID-19Pandemic on Engineering Students’ Math Readiness and Transition into EngineeringOlivia Ryan, Virginia Polytechnic Institute and State University Olivia Ryan is a Ph.D. student in Engineering Education at Virginia Tech. She holds a B.S. in engineering with a specialization in electrical engineering from Roger Williams University. Her research interests include developing professional skills for engineering students and understanding mathematics barriers that exist within engineering.Susan Sajadi, Virginia Polytechnic Institute and State
nonconvex programming, distributed optimization, and their applications in signal processing and communication. Additionally, Dr. Alvarado is actively engaged in engineering education, focusing on mathematics teaching and curriculum development.Sr. Jose Roberto Portillo, Universidad Galileo Roberto Portillo heads the Teaching Assistants Department of Universidad Galileo in Guatemala and is a mathematics instructor in engineering courses. He holds a Bs. in Electronics and Computer Science (from Galileo University, Guatemala) and an MSc. in Operations Research (from Galileo University, Guatemala). He is currently a Ph.D. candidate in information technologies applied to education. He also has a vast teaching experience in
inclusive learning environment.Other General Instructional Approaches. The use of classroom response systems in teachinglinear algebra, as explored by Cline et al. [72], represents a notable technological advancement ineducation. These systems enable real-time electronic feedback from students, facilitating theidentification of conceptual misunderstandings. Through analyzing 781 responses across variousinstitutions, the study highlights the effectiveness of challenging and theoretically focusedquestions in stimulating classroom discussion. Those questions, which prioritize interpretationover calculation, prove instrumental in enhancing student engagement and understanding,offering a valuable approach to teaching linear algebra to engineering
effects, perform a web search, or make a phone call, you areutilizing technologies that rely on linear algebra concepts. From graphics, image processing,and cryptography to machine learning, computer vision, optimization, graph algorithms,quantum computation, computational biology, information retrieval, and web search, linearalgebra has diverse and essential applications. As our audience consists of engineering students, the practical application of linear alge-bra is particularly relevant. Regrettably, the previous course did not emphasize this aspect.As an instructor who teaches this course each semester, I have frequently been asked bystudents why Linear Algebra is necessary. Some students could not perceive the value oftaking the class
Paper ID #41119Student Perceptions on the Effectiveness of Incorporating Numerical Computationsinto an Engineering Linear Algebra CourseDr. Meiqin Li, University of Virginia Dr. Li obtained her Ph.D. in Applied Mathematics from Texas A&M University-College Station in 2017. Dr. Li holds a strong interest in STEM education. For example, she is interest in integrating technologies into classrooms to bolster student success, creating an inclusive and diverse learning environment, and fostering student confidence by redeveloping course curricula and assessment methods, etc. Beyond this, her research intertwines numerical
Group.Dr. Octavio Mattasoglio Neto Neto Undergraduate in Physics (1983), master in Science (1989) and phd at Education (1998) all of them from Universidade de S˜ao Paulo. Professor of Physics at Mau´a Institute of Technology, since 1994 and President of Teacher’s Academy of the same Institute, ©American Society for Engineering Education, 2023 Elaboration of a Contextualized Event for teaching eigenvalues and eigenvectors in the Control and Automation Engineering programIntroductionResearch in Mathematics Education, for example, [1], [2], [3], [4], [5], [6] have explored thesubject of Linear Algebra
Paper ID #41765An Alternative Methodical Approach and Its Effectiveness to Learn Changeof Basis Matrices in an Engineering Linear Algebra ClassMeiqin Li, University of Virginia Dr. Li is an Assistant Professor at the University of Virginia. She obtained her Ph.D. in Applied Mathematics from Texas A&M University-College Station in 2017. Dr. Li holds a strong interest in STEM education. For example, she is interest in integrating technologies into classrooms to bolster student success, creating an inclusive and diverse learning environment, and fostering student confidence by redeveloping course curricula and assessment
engineering fields. Such a restriction could impair students' ability to approach engineering challenges in various sectors with flexibility or to adapt to new technologies. • Assessment and Evaluation: Evaluating students' competencies in both programming and mathematical analysis introduces a layer of complexity to the grading process. It may become challenging for educators to discern if students' difficulties arise from programming, understanding mathematical principles, or integrating both. This complexity risks masking the true nature of students' learning challenges, potentially complicating the provision of effective support. 3. Course Overview:The "Mathematical Analysis" course at
science.Stacie Pisano, University of Virginia After receiving a Master of Science in Electrical Engineering from Stanford University, Stacie Pisano worked as an Electrical Engineer and Technical Manager at AT&T and Lucent Technologies Bell Laboratories for 16 years, designing and developing telecommunications equipment. She has been teaching at University of Virginia since 2002, and is currently the Director of the Center for Applied Math.Jennifer Felder Marley, University of Virginia Jennifer Marley is an Associate Professor of Applied Mathematics at the University of Virginia. She received the B.S. degree in Electrical Engineering from North Carolina State University and M.S. and Ph.D. degrees in Electrical
. It is also core to the understanding of numerous probability distributions instatistics, hence, fundamental knowledge of this concept is crucial for a successful career inscience, technology, engineering, and math (STEM). The proposed experiment will ease thecomplexities involved in the learning of calculus students by using experimental centric pedagogy(ECP), which entails providing simple yet relevant experiments that would boost the students’interest in this field. The concepts of differentiation and integration would be practicallydemonstrated to students using Hooke’s law, velocity, acceleration with respect to time, and rulerexperiment. The project would employ readily available utilities to demonstrate integration anddifferentiation
resulting in an omnifinite number as output. The mathematical procedures andproperties for evaluating omnifinite arithmetic are primarily consistent with traditionalarithmetic. The following section provides a mathematical example showing the differences ofusing an omnifinite number system in comparison to a finite number system.Comparative Mathematical Example using OmnifinitesDetailed examples are beyond the scope of this work. Omnifinites, which are numbers that mayonly be used in closed number systems, were developed by engineers (authors of this work andthe list of persons included in the acknowledgement) for engineers and for people in all appliedareas of study including but not limited to science, technology and medicine. The purpose
Paper ID #41309On Teaching and Learning the Fundamentals of L’Hopital’s Rule in Visualand Intuitive WaysJuan David Yepes, Florida Atlantic UniversityDr. Daniel Raviv, Florida Atlantic University Dr. Raviv is a Professor of Computer & Electrical Engineering and Computer Science at Florida Atlantic University. In December 2009 he was named Assistant Provost for Innovation and Entrepreneurship. With more than 30 years of combined experience in th ©American Society for Engineering Education, 2024 Work-in-Progress: On Teaching and Learning the Fundamentals of L’Hopital’s Rule in Visual and
Computer Sci- ence (from Galileo University, Guatemala) and an MSc. in Operations Research (from Galileo University, Guatemala). He is currently a Ph.D. candidate in information technologies applied to education. He also has a vast teaching experience in mathematics for engineering, which has led him to obtain multiple ex- cellence teaching awards. His research area is engineering education, where he has worked on numerous research projects to improve students’ academic performance and motivation. Additionally, he collabo- rates with the SENACYT (Secretar´ıa Nacional de Ciencia y Tecnolog´ıa) as National Contact Point (NCP) in the CELAC (Comunidad de Estados Latinoamericanos) group to promote research infrastructures
Paper ID #38935Understanding the sin, cos, and tan calculator buttonsMr. Daniel Blessner, Pennsylvania State University, Wilkes-Barre Campus I’m a faculty member at the Penn State Wilkes Barre campus. I’m a civil and chemical engineer. ©American Society for Engineering Education, 2023 Understanding the sin, cos, and tan Calculator ButtonsAbstractMaking engineering education accessible to under prepared students enteringcollege from high school and students transitioning from the community collegelevel is sometimes difficult due to the demanding mathematical requirements themajor demands. One specific
Paper ID #41308Toward Better Understanding of the Fundamental Theorem of CalculusJuan David Yepes, Florida Atlantic UniversityDr. Daniel Raviv, Florida Atlantic University Dr. Raviv is a Professor of Computer & Electrical Engineering and Computer Science at Florida Atlantic University. In December 2009 he was named Assistant Provost for Innovation and Entrepreneurship. With more than 30 years of combined experience in th ©American Society for Engineering Education, 2024Work-in-Progress: Toward Better Understanding of the Fundamental Theorem of Calculus Daniel Raviv and Juan D. Yepes
colleges outside of engineering. Topics include generating and solving first orderordinary differential equations (ODEs); generating and solving second order linear ODEs; Eulerintegration of first and higher order ODEs; boundary value problems (BVPs); Fourier series; andintroduction to partial differential equations (PDEs) through the heat equation, wave equation,and Laplace equation.During the semester of this study there were two lecture sections with a combined enrollment of509. The course staff consisted of two instructors, a head teaching assistant (TA), and sevenadditional graduate student TAs. Teaching technology use included: Canvas as the learningmanagement software (LMS), used for posting documents, assignments, and announcements
background in consumer software and technology. ©American Society for Engineering Education, 2024 Work-in-Progress: Keys to Success for an Alternative Grading Scheme in a Large Enrollment Differential Equations CourseAbstractIn this work-in-progress paper, we describe the key changes we made to our efforts to implementa standards-based, mastery-based grading scheme in a large enrollment Differential Equationscourse at an R1 university. In this continuation of prior work, we have addressed many of thechallenges we faced in our first effort to transition from traditional grading to an alternativegrading scheme in this course.In the first version of our implementation of an alternative grading scheme, we
Paper ID #42886The Impact of Inquiry-Oriented, Differential-Equations Instruction on Students’Performance and Beliefs about MathematicsDr. Julia Spencer, University of Virginia Julie Spencer finished her Ph.D. in math from the University of Virginia in August of 2014. During graduate school, she developed a deep excitement about teaching math, and was able to spend the last year of her dissertation teaching at Mary Baldwin College (now Mary Baldwin University), a small women’s liberal arts school. In Fall of 2015, she started teaching applied math with the School of Engineering and Applied Sciences at the University of