Theory and Practice: Active Learning and Real-World Applications in Mathematical Analysis Course Djedjiga Belfadel, and Danushka Bandara Fairfield UniversityAbstract:This Evidence-Based Practice Paper outlines the redesign of the sophomore-level Mathematical Analysiscourse at Fairfield University, focusing on enhancing the practical application of mathematical conceptsfor engineering students. The course has been redesigned from a predominantly theoretical frameworkinto a hands-on, project-based approach. Building upon the successful integration of MATLAB, theredesign emphasizes active learning techniques and interactive programming
in Communicating Mathematical ContentAbstractThis Work in Progress study explores the impact of weekly journaling assignments onengineering students’ ability to communicate mathematical concepts effectively in designprojects. At Louisiana Tech University, first-year engineering students participate in the “Livingwith the Lab” course sequence, culminating in the First-Year Projects Showcase. While studentsexcel at explaining their product’s purpose and hardware, they often struggle to articulate theunderlying STEM principles, especially in mathematics.To address this gap, a targeted journaling assignment was integrated into the calculus sequence toenhance reflection on mathematical concepts and their connection to engineering
Paper ID #48136Hands-on Precalculus for Engineering: A Work in ProgressSeth Greendale, Whatcom Community CollegeProf. Eric Davishahl, Whatcom Community College Eric Davishahl serves as professor and engineering program coordinator at Whatcom Community College in northwest Washington state. His current project involves developing and piloting an integrated multidisciplinary learning community for first-year engineering. More general teaching and research interests include designing, implementing and assessing activities for first-year engineering, engineering mechanics, and scientific computing. Eric has been an active
demands while fostering critical thinking andproblem-solving skills. Barbosa et al. [6] propose a framework utilizing Python, Raspberry Pi,and MEMS sensors to create affordable, user-friendly systems for teaching physics andengineering. Their approach enables hands-on projects that seamlessly integrate theoreticallearning with practical experimentation. Collectively, these studies underscore the value ofsensor technology in making education more interactive, accessible, and aligned with real-worldapplications.Ramírez et al. [7] demonstrate how accelerometer data can be used to calculate an object’s speedand position through numerical integration techniques such as the Riemann sum and thetrapezoidal rule. These applications transform abstract
, AR has been foundto be an effective learning tool in science education, particularly in aiding the understanding ofvectors in physics, math, and engineering [4-12].This research study aims to improve students’ learning outcomes in STEM, particularly thosewho struggle with spatial and mathematical reasoning. Developing a deeper understanding ofspatial transformations will serve students in their coursework, retention, and completion ofSTEM degrees. This foundational knowledge will eventually support students in the long run todevelop expertise and have successful careers in STEM.As part of a larger project aimed at understanding the effectiveness of augmented realitycurriculum in learning abstract and 3D physics and engineering concepts, we
approaches such as project-based learning and flipped classroom. ©American Society for Engineering Education, 2025 Engineering Faculty’s Perceptions of and Responses to Student’s Math ReadinessAbstractThis paper explores the perceptions of engineering faculty on students’ math readiness and howthey respond to it. Prior research shows that introductory math courses often challenge earlycollege students, and students struggle with both understanding and application of mathematicalconcepts. Additionally, the existing literature has not examined how faculty respond to students’lack of math readiness. To better understand this issue, this study examines engineering faculty’sperceptions of
, statics and dynamics, thermodynamics, and linear algebra). Outside of his coursework, Eli was on the university’s baseball team, and playing baseball was a significantdriver in his decision to attend college instead of trying to enter the workforce in an engineering capacity right outof high school. The team welcomed him and made him feel very much a part of a group, and even though he had tosit out much of the first year because he was recovering from an injury, the team camaraderie was something henotably relished and enjoyed. Outside of baseball, his favorite parts of his first year of school were “the hands-on projects [he] got to dofor engineering because that’s how [he] learns the best and gets the most out of it.” When
of the Scholarship of Teaching and Learning, vol. 22, no. 2, Jun. 2022. [Online]. Available: https://scholarworks.iu.edu/journals/index.php/josotl/article/view/31308 [7] S. A. Atwood, M. T. Siniawski, and A. R. Carberry, “Using Standards-based Grading to Effectively Assess Project-based Design Courses,” in 2014 ASEE Annual Conference &; Exposition. Indianapolis, Indiana: ASEE Conferences, Jun. 2014, issue: 10.18260/1-2–23278. [8] M. Knight and R. Cooper, “Taking on a New Grading System: The Interconnected Effects of Standards-Based Grading on Teaching, Learning, Assessment, and Student Behavior,” NASSP Bulletin, vol. 103, no. 1, pp. 65–92, Mar. 2019. [Online]. Available: https://journals.sagepub.com/doi/10.1177
Brand. She has a Bachelor’s degree in Mechanical Engineering and a Master’s degree in Mechanical Engineering. She also has a PhD in Engineering, concentration: Engineering Education. Her research interests are diversity, gender equity, retention, project-based learning, and cognitive models of problem-solving.Ms. Jenny Welter, Wiley Jennifer ”Jenny” Welter has been a publishing professional for more than two decades, specifically focused on engineering publications and courseware during the majority of her tenure. She is passionate about supporting engineering education, specifically focused on content and assessment development for more effective student learning. She earned her BA in English from The University of
Paper ID #47521Accelerating Student Success in Mathematics through Personalized AdaptiveLearningDr. Melissa A Dagley, University of Central Florida Dr. Melissa Dagley is the Executive Director of the Center for Initiatives in STEM (iSTEM) at the University of Central Florida. Dr. Dagley has served as PI and Co-PI on numerous NSF projects, facilitates the women’s mentoring network at UCF, created a STEM learning community model for transfer students and directs Math Launch, a success program targeted to expediting calculus readiness for students in STEM majors. In addition to guiding undergraduates towards a successful