Conference Session

Mathematics Division (MATH) Poster Session

Collection

2024 ASEE Annual Conference & Exposition

Authors

Djedjiga Belfadel, Fairfield University

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Mathematics Division (MATH)

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

Conference Session

Mathematics Division (MATH) Technical Session 3

Collection

2024 ASEE Annual Conference & Exposition

Authors

Meiqin Li, University of Virginia; Stacie Pisano, University of Virginia; Jennifer Felder Marley, University of Virginia; Anne M Fernando, University of Virginia; Lindsay Wheeler, University of Virginia

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Diversity

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Mathematics Division (MATH)

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

Conference Session

Mathematics Division (MATH) Technical Session 3

Collection

2024 ASEE Annual Conference & Exposition

Authors

Alberth Alvarado, Universidad Galileo; Jose Roberto Portillo, Universidad Galileo; Byron Haroldo Linares Roman

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Mathematics Division (MATH)

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

Conference Session

Mathematics Division (MATH) Technical Session 1

Collection

2024 ASEE Annual Conference & Exposition

Authors

Meiqin Li, University of Virginia

Tagged Divisions

Mathematics Division (MATH)

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

Conference Session

Mathematics Division (MATH) Technical Session 1

Collection

2023 ASEE Annual Conference & Exposition

Authors

Krystal Corbett Cruse, Louisiana Tech University; Carl Boyet; Levi Savercool; Hylie Jane Holloway

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Diversity

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Mathematics Division (MATH)

challenges faced by students entering college [3]. The prerequisiteskills required in an engineering program leave students more likely to experience thesechallenges [2], [4]. First-year engineering students are often simultaneously enrolled in coremath, engineering, and science courses which require strong fundamentals and involvecomputationally intensive content [2], [5].Efforts have been made to better understand these transitional challenges for first-yearengineering students [6]. Tinto's Model of Integration emphasizes the importance of academicand social integration for first-year student success [7], which has been used as the foundationfor models related to engineering retention in engineering education [2], [8]. University ofMichigan

Conference Session

Mathematics Division (MATH) Technical Session 1

Collection

2024 ASEE Annual Conference & Exposition

Authors

Meiqin Li, University of Virginia; Jessica Taggart, University of Virginia

Tagged Divisions

Mathematics Division (MATH)

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

Conference Session

Mathematics Division (MATH) Technical Session 3

Collection

2023 ASEE Annual Conference & Exposition

Authors

Mark Mixer, Wentworth Institute of Technology; Deirdre Donovan, Wentworth Institute of Technology

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Diversity

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Mathematics Division (MATH)

STEM. Craftingmitigation plans aimed at student success should be research based and implemented to welcomeand benefit all students. Researchers have worked to identify predictors of STEM persistence,both before matriculation and after. A student’s level of academic success before matriculation isa strong predictor of STEM persistence. These predictors include standardized test scores andtaking calculus in high school [9], [10].Research has found that, after matriculation, a student’s likelihood to complete an undergraduatedegree was linked to a student’s level of academic and social integration. Tinto [11] definesacademic integration by a student's academic performance and their perception of their ownacademic experience. Therefore, it

Conference Session

Mathematics Division (MATH) Technical Session 3

Collection

2023 ASEE Annual Conference & Exposition

Authors

Hui Ma, University of Virginia

Tagged Divisions

Mathematics Division (MATH)

an engineering school of a four-year, R1 public research universitywith roughly 22,000 students. The purpose of the study is to understand the impact of theredesigned curriculum of a calculus sequence on students.ParticipantsAll 25 students who took the engineering math sequence in Fall 2018 and Spring 2019 wereparticipants, with 21 completing all three surveys. Of the 21 participants, 15 were male and 6were female.Data CollectionThe impact is evaluated using both qualitative and quantitative methods. Data sources includeplacement test scores, pre-course and post-course surveys, and final exam grades. This sequenceis a two-semester sequence. All first-year students took a placement test prior to arrival. The pre-course survey was

Conference Session

Mathematics Division (MATH) Technical Session 2

Collection

2023 ASEE Annual Conference & Exposition

Authors

Tijesunimi Abraham Adeyemi, Morgan State University; Oludare Adegbola Owolabi P.E., Morgan State University; Neda Bazyar Shourabi, Pennsylvania State University, Berks Campus; Chukwuemeka Duru; Jumoke 'Kemi' Ladeji-Osias, Morgan State University; Frank Efe

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Mathematics Division (MATH)

rote learning because students can rapidly useknowledge to solve an issue at hand while internalizing the minimal amount of essential andrelevant information. Because they do not have to repeat the same material in several areas,integrated content also frees up students' time to study new information. This improves thinkingspeed and turns the brain into a programming machine rather than making learning dull. Apartfrom obtaining engagement for learners’ interdisciplinary integration has some advantages forinstructors as well. Teachers are familiar with interdisciplinary information in their subject areas,making it simple to synthesize and condense knowledge into primary ideas that are distinct fromone another and are easy to visualize

Conference Session

Mathematics Division (MATH) Technical Session 2

Collection

2024 ASEE Annual Conference & Exposition

Authors

Juan David Yepes, Florida Atlantic University; Daniel Raviv, Florida Atlantic University

Tagged Divisions

Mathematics Division (MATH)

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

Conference Session

Mathematics Division (MATH) Technical Session 1

Collection

2023 ASEE Annual Conference & Exposition

Authors

Meiqin Li, University of Virginia

Tagged Divisions

Mathematics Division (MATH)

innovative approaches to teaching linear algebra, including:(i) active learning is significantly integrated into each class through in-class group worksheetsthat incorporate MATLAB to solve more complex problems. (ii)instructors utilize MATLABlive scripts to visualize abstract concepts and foster an interactive learning environmentwhen teaching, (iii) students are tasked with coding core linear algebra concepts, providingthem with a different perspective and deepening their understanding of the material, (iv)application projects are added to demonstrate to students the interesting and applicable 4nature of linear algebra, and (v) MATLAB Autograder is adapted to grade students’ work,providing immediate

Conference Session

Mathematics Division (MATH) Technical Session 3

Collection

2024 ASEE Annual Conference & Exposition

Authors

Zenaida Aguirre Munoz Ph.D., University of California, Merced; Melissa Almeida, University of California, Merced; Comlan de Souza, California State University, Fresno; Keith Collins Thompson, University of California Merced; Khang Tran, California State University, Fresno; Yue Lei, University of California, Merced; Erica M Rutter, University of California, Merced; Lalita G Oka, California State University, Fresno; Maribel Viveros, University of California Merced; Bianca Estella Salazar, University of California, Merced; Changho Kim, University of California, Merced

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Diversity

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Mathematics Division (MATH)

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

Conference Session

Mathematics Division (MATH) Technical Session 1

Collection

2023 ASEE Annual Conference & Exposition

Authors

Juliana Martins Philot, Instituto Mauá de Tecnologia - Brazil; Barbara Lutaif Bianchini, Pontifícia Universidade Católica de São Paulo - Brasil; Eloiza Gomes, Instituto Mauá de Tecnologia - Brazil; Gabriel Loureiro de Lima, Pontifícia Universidade Católica de São Paulo - Brasil; Octavio Mattasoglio Neto Neto

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Diversity

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Mathematics Division (MATH)

contenthelp in the education and later in the performance as an engineer? - the creators of the theorybegan to discuss with professors of mathematics courses, professors of specific courses ofengineering programs and even professional engineers. In these conversations they found adifficulty in communication due to the specific language used in each training, often usingdifferent languages and different symbols for the same mathematical content.From these concerns and the need to have a curriculum more appropriate to courses that useMathematics as a tool, according to Camarena [15], the TMCC curricular phase emerged.In this phase, a methodology was developed to design study programs, firstly of mathematicsfor engineering programs, called Dipcing

Conference Session

Mathematics Division (MATH) Technical Session 2

Collection

2024 ASEE Annual Conference & Exposition

Authors

Caleb Wilson Hendrick, University of Maine; Karissa B Tilbury

Tagged Divisions

Mathematics Division (MATH)

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

Conference Session

Mathematics Division (MATH) Technical Session 3

Collection

2024 ASEE Annual Conference & Exposition

Authors

Julia Spencer, University of Virginia; Megan Ryals, University of Virginia; Gianluca Guadagni, University of Virginia

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Diversity

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Mathematics Division (MATH)

, 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

Conference Session

Mathematics Division (MATH) Technical Session 3

Collection

2024 ASEE Annual Conference & Exposition

Authors

Carl Boyet, Louisiana Tech University; Jonathan Walters, Louisiana Tech University; Christian Smith, Louisiana Tech University

Tagged Divisions

Mathematics Division (MATH)

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

Conference Session

Mathematics Division (MATH) Technical Session 1

Collection

2024 ASEE Annual Conference & Exposition

Authors

Meiqin Li, University of Virginia; Heze Chen, University of Virginia

Tagged Divisions

Mathematics Division (MATH)

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

Conference Session

Mathematics Division (MATH) Technical Session 1

Collection

2024 ASEE Annual Conference & Exposition

Authors

Luis E Montero-Moguel, The University of Texas at San Antonio; Joel Alejandro Mejia, The University of Texas at San Antonio; Guadalupe Carmona, The University of Texas at San Antonio

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Diversity

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Mathematics Division (MATH)

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