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Student Perceptions on the Effectiveness of Incorporating Numerical Computations into an Engineering Linear Algebra Course

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)

significantadvantages of incorporating technology into the teaching of linear algebra, such as throughapplication projects developed using Jupyter Notebooks with Python [4]. Doing so cansubstantially improve students' comprehension and practical application of the subject [5].Integrating various technologies into the linear algebra curriculum can augment the learningexperience [6], [7], [8], [9], [10], [11], [12]. By leveraging computers for intricate problem-solving, students can attain a deeper understanding of linear algebra and effectively tackle morecomplex tasks. This approach fosters interactive learning, encouraging active participation andengagement. Consequently, the incorporation of both hardware and software in linear algebrainstruction has become

Relevance Score: 0.016045092

Design and Implementation of a Badge Architecture to Motivate Students' Excellence in an Engineering Calculus Course

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
Tagged Divisions: Mathematics Division (MATH)

mathematics for engineering, which has led him to obtain multiple excellent 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 collaborates with the SENACYT (National Secretariat of Science and Technology) as the National Contact Point (NCP) in the CELAC (Latin American Countries Research Group) group to promote research infrastructure collaborations between countries in Latin America and the European Union (EU).Byron Haroldo Linares Roman ©American Society for Engineering Education, 2024 Design and Implementation of a Badge Architecture to Motivate Students

Relevance Score: 0.011036218

Toward Better Understanding of the Fundamental Theorem of Calculus

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)

into the 1effectiveness and reception of the new approach. Our evaluation of this novel tech-nique shows its potential in boosting student understanding. Using this strategy,students not only intuitively understand the FTOC, but also indicate a favorabilitytowards visual learning modalities. Based on feedback from 58 students, 69% deemthe comprehension of the FTOC as “important” or “very important”, and 81% prefervisual learning approaches. It is crucial to highlight that this project is still a work in progress. It is notintended to replace traditional textbook chapters or topics; instead, it serves as asupplementary tool for both educators and learners. Our goal is to assist instructorsin

Relevance Score: 0.010659779

Board 134: MATLAB Integration in Sophomore Mathematical Analysis Course

Conference Session: Mathematics Division (MATH) Poster Session
Collection: 2024 ASEE Annual Conference & Exposition
Authors: Djedjiga Belfadel, Fairfield University
Tagged Divisions: Mathematics Division (MATH)

hands-on, self-paced,and free online training courses, including ONRAMP, MATLAB Fundamentals, App Building,Linear Algebra, and a module specific to each student's major. • ONRAMP Course: This introductory course, taking approximately two hours, covers eleven main topics, beginning with fundamental MATLAB commands and progressing to data importation and visualization. It culminates in a final project where students apply their skills to analyze astronomical data, learning the practical application of concepts from theory to implementation. • MATLAB Fundamentals: This course offers a comprehensive dive into MATLAB programming, covering a wide array of topics from data analysis to visualization. It's

Relevance Score: 0.009534396

A Comprehensive Approach to Modeling Dynamic Biological Systems: Enhancing Critical Thinking and Mathematical Problem-Solving in Biomedical Engineering Education

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)

MaineAbstract:This work-in-progress project is grounded in a biomedical engineering junior-level coursededicated to modeling biomedical systems. The course and project’s primary goal is to integratefundamental concepts from physics, chemistry, engineering, and mathematics to provide studentswith a comprehensive foundation for addressing real-world biomedical engineering challenges.Establishing connections and parallels between mathematical methodologies, specificallydifferential equations, and the constitutive relationships in physics and chemistry are critical inthe development of biomedical engineers.A key objective is developing critical thinking skills in students to tackle real-world biomedicalproblems. BME problems in this course span multiple domains

Relevance Score: 0.008342597

Integrating Precalculus into Calculus II and Its Outcomes

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
Tagged Topics: Diversity
Tagged Divisions: Mathematics Division (MATH)

strategies to aid students in these courses, ensuretheir preparation for future courses, and help them build connections with their chosen career.Themes from a comprehensive literature review revealed that many research efforts in improvingcalculus courses focused on improving the relevance of these courses, strengthening theconnections between mathematics and engineering faculty and coursework, increasing the use ofactive learning strategies, and utilizing non-traditional modes of teaching (e.g. project- andproblem-based learning or peer teaching) in calculus. While there are consistent themes among avariety of institutions, a consistent and accessible set of course materials for such interventionsremains lacking [3].Among the most time- and

Relevance Score: 0.008342597

On Teaching and Learning the Fundamentals of L’Hopital’s Rule in Visual and Intuitive Ways

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)

experiences. The effort covers various courses, including Physics/Mechanics,Calculus, Statics, Control Systems, Digital Signal Processing, Probability, Estima-tion, and Computer Algorithms. The larger scale project, as it relates to calculusconcepts, intends to develop and integrate engaging games, relevant 3D puzzles andbrain teasers, captivating animations, real-world intuitive illustrations and demon-strations, short video clips, hands-on activities (including virtual reality and aug-mented reality experiences), collaborative teamwork and communication exercises,small-scale inquiry-based research, as well as engaging presentations and peer-basedlearning. It should be noted that this work should be considered as work in progress. Itis intended

Relevance Score: 0.006741836

Exploring Effective Pedagogical Approaches for Teaching Linear Algebra to Engineering Students: A Literature Review

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)

investigating different methodsto teach and learn linear algebra, we aim to pick up those resources that are applicable forengineering students in this paper.After reviewing many linear algebra textbooks such as [17], [18], [19], [20], [21], [22], [23], werecommend “Linear Algebra and Its Application” [24] for engineering students. This book hasgarnered significant praise from instructors and is widely adopted in current teaching practices.In comparison to other reviewed textbooks, "Linear Algebra and Its Applications" offers severalnotable advantages: • It features a wealth of practical applications spanning various fields, with seven comprehensive Case Studies and 20 Application Projects. • The book prioritizes visualization of concepts

Relevance Score: 0.0066623623

Exploring the Impact of Mastery Grading on Student Performance

Conference Session: Mathematics Division (MATH) Technical Session 1
Collection: 2024 ASEE Annual Conference & Exposition
Authors: Diana D Morris, University of Virginia; Hui Ma, University of Virginia; Farzad Shafiei Dizaji, University of Virginia
Tagged Divisions: Mathematics Division (MATH)

with problems that necessitated the synthesis of multiple strategies. We planto incorporate additional course components, such as applied problems or projects, alongsideassessments of individual learning targets for future iterations of the course.Moreover, we found that the current structure of the course may inadvertently lead to a lack ofchallenge for high-performing students. By expanding the scope of course components to includemore diverse and challenging tasks and assessments, we are hoping to make sure that allstudents, regardless of their level of mastery, are sufficiently engaged and challenged throughoutthe course.Limitations and future workThe Calculus I course in this study was taught by three different instructors. Due to

Relevance Score: 0.0041712984

Leveraging Mathematical Modeling to Expand Measurement-Process Opportunities for Engineering Students

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
Tagged Topics: Diversity
Tagged Divisions: Mathematics Division (MATH)

practices in the ABET criteria.AcknowledgmentsThis material is based upon work supported by the National Science Foundation under Grant No.2215788. Any opinions, findings, and conclusions or recommendations expressed in this materialare those of the authors and do not necessarily reflect the views of the National ScienceFoundation.References[1] National Research Council, A framework for K-12 science education: Practices, crosscutting concepts, and core ideas. Washington, D.C.: National Academies Press, 2012, p. 13165. doi: 10.17226/13165.[2] C. L. Dym, P. Little, and E. J. Orwin, Engineering design: a project-based introduction, 4th Ed. New York: Wiley, 2014.[3] R. Lehrer, M. J. Kim, and R. S. Jones, “Developing conceptions of statistics

Relevance Score: 0.0041712984

Unlocking Success in Calculus for Engineering Majors: Impact of Engagement Tactics for Underrepresented Undergraduate Engineering Students

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
Tagged Topics: Diversity
Tagged Divisions: Mathematics Division (MATH)

include experimental geotechnics, numerical modeling, liquefaction assessments, and dam safety. She is also interested in issues related to women in engineering and has published numerous articles in ASEE conferences.Maribel Viveros, University of California MercedBianca Estella Salazar, University of California, MercedChangho Kim, University of California, Merced Changho Kim is Assistant Professor of Applied Mathematics at the University of California, Merced. He is participating in the ”Why, What and How” Calculus project as co-PI. ©American Society for Engineering Education, 2024Interest & Engagement Tactics for Success 1

Relevance Score: 0.0035753986

The Impact of Inquiry-Oriented, Differential-Equations Instruction on Students' Performance and Beliefs about Mathematics

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
Tagged Topics: Diversity
Tagged Divisions: Mathematics Division (MATH)

?MethodsContextThe first and second authors each taught two in-person sections of Ordinary DifferentialEquations in Fall 2019 and Fall 2021. The course was taught traditionally in Fall 2019 and fullyimplemented as an IODE course for the first time in Fall 2021. We began developing draft lessonplans in Fall 2019, starting with materials provided by NSF Project Award #1431641: TeachingInquiry-Oriented Mathematics: Establishing Supports. The same semester, we held conversationswith faculty who teach courses for which ODE is a prerequisite to identify content that is mostessential, and who recommended problems and activities that are more specific to engineering.In Spring 2020, we held mock lessons with previous ODE students to implement and thenmodify drafts