in preparatory worksheets before class and programming assignments alignedwith lectures and PLG sessions. Additionally, the curriculum integrates online self-pacedtraining auto-graded modules from the MathWorks platform.The course's unique design, combining MATLAB programming with mathematical analysis in acondensed half-semester each presents both advantages and challenges. It offers an efficient wayto cover essential topics rapidly, emphasizing the practical application of programming tomathematical concepts. This approach necessitates precise curriculum planning to ensure contentis both deep and manageable within the limited time, requiring strategies that maximize learningoutcomes and thoughtfully designed assessments to accurately gauge
Paper ID #42504Integrating Precalculus into Calculus II and Its OutcomesDr. 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 computation, optimization, nonlinear analysis, and data
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
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
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
with minor modifications. This analogy illustrates that isotopes are essentiallythe same atom, possessing an identical number of protons and electrons but differingin the number of neutrons, akin to cars with minor changes (e.g., color). Severalcalculus textbooks incorporate visual explanations, as exemplified by references [2–11]. Notably, the work of Apostol and Mamikon from Caltech [11] is particularlyintriguing, as they successfully explained the integration of certain functions withoutrelying on mathematical formulas. Other books, such as [12, 13], have contributedto the understanding of concepts in “Control Systems” and the fundamentals of“Newton’s Laws of Motion.” Other successful attempts to teach basic understanding using
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
Paper ID #44167A Comprehensive Approach to Modeling Dynamic Biological Systems: EnhancingCritical Thinking and Mathematical Problem-Solving in Biomedical EngineeringEducationCaleb Wilson Hendrick, University of Maine Caleb Hendrick, an undergraduate at the University of Maine, majors in biomedical engineering with minors in electrical engineering and mathematics. He serves as a teaching assistant, committed to creating an inclusive learning environment, particularly in the ”Modeling Dynamic Biomedical Systems” (BEN 401) class, and is actively involved in developing course materials. His research focuses on mathematical
, but was not accomplishing some of theessential goals that instructors had for preparing students for the engineering curriculum. In mostsections of the class, a typical class meeting consisted of a lecture in which the instructorintroduced a type of differential equation and showed the students how to identify and solve thattype of differential equation. The students then completed a worksheet that had them repeat theprocess that the professor just demonstrated on one or more examples of that type of differentialequation. In short, students were trained to be good at mimicking a process and identifying whento use that process. Applications were briefly mentioned, but accounted for only a small portionof the class and were not integrated with
the fall. It wasalso seen as redundant to give feedback on both homework problems and weekly examquestions. Thus, the decision was to not implement any scored feedback to thehomework. Furthermore, homework notebooks in the winter and spring term were produced bythe department and/or the instructors. This was not considered scalable to the fall term whereapproximately 500 students were expected to enroll in precalculus. Talks with an independentpublisher were established for students to be able to purchase homework notebooks through theon-campus bookstore.AnalysisDifferent curriculum and testing structures between the pilot and non-pilot sections ofPrecalculus made a direct comparison of student performance in the two impossible. Instead
Paper ID #41135Exploring Effective Pedagogical Approaches for Teaching Linear Algebra toEngineering Students: A Literature ReviewDr. 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
Paper ID #42419Leveraging Mathematical Modeling to Expand Measurement-Process Opportunitiesfor Engineering StudentsLuis E Montero-Moguel, The University of Texas at San Antonio Luis Montero-Moguel is a Ph.D. Candidate in Interdisciplinary Learning and Teaching specializing in STEM education at The University of Texas at San Antonio (UTSA). Luis holds an MSc in Mathematics Education from the University of Guadalajara and a BSc in Mechanical Engineering. Luis is an NSF-CADRE fellow. As part of his doctoral program, Luis has earned a Graduate Certificate in iSTEM Education and a Graduate Certificate in Engineering Education. With