Conference Session

Mathematics Division Technical Session 2

Collection

2017 ASEE Annual Conference & Exposition

Authors

Hui Ma, University of Virginia; Gianluca Guadagni, University of Virginia; Stacie N. Pisano, University of Virginia, School of Engineering and Applied Science; Bernard Fulgham, University of Virginia; Monika Abramenko, University of Virginia; Diana D Morris, University of Virginia

Tagged Divisions

Mathematics

Paper ID #19636Redesign of Calculus Curriculum in EngineeringDr. Hui Ma, University of Virginia Hui Ma received her Ph.D. in applied mathematics from the University of Alabama at Birmingham in 2012. Her current research focuses on the Errors-In-Variables (EIV) model and fitting geometric curves and surfaces to observed data points. Before joining the University of Virginia (UVA), she worked as an assistant professor at Black Hills State University for two years. In her current role as an APMA faculty member at UVA, she teaches applied math courses to engineering students. Her goals in teaching are to help students

Conference Session

Mathematics Division Technical Session 3

Collection

2017 ASEE Annual Conference & Exposition

Authors

Bailey Braaten, The Ohio State University; Arnulfo Perez, The Ohio State University

Tagged Divisions

Mathematics

technology, attendance, and school course pathways. His work also seeks to translate insights from large-scale assessments into potential reforms to curriculum and classroom practice with a focus on opportunities that broaden access to STEM for students from all backgrounds. His current NSF-funded study, ”Assessing the Impact of Computer Modeling and Programing in Secondary Algebra,” examines the effectiveness of integrating computer programming and modeling into an Algebra unit on linear functions. c American Society for Engineering Education, 2017 Integrating STEM and Computer Science in Algebra: Teachers’ Computational Thinking DispositionsIntroduction. In

Conference Session

Mathematics Division Technical Session 3

Collection

2017 ASEE Annual Conference & Exposition

Authors

Emre Tokgoz, Quinnipiac University; Hazal Ceyhan

Tagged Divisions

Mathematics

Paper ID #17833Integral Concept and Decision Making: Do the STEM Majors Know Whento Use Numerical Methods for Integral Approximation?Dr. Emre Tokgoz, Quinnipiac University Emre Tokgoz is currently an Assistant Professor of Industrial Engineering at Quinnipiac University. He completed a Ph.D. in Mathematics and another Ph.D. in Industrial and Systems Engineering at the Univer- sity of Oklahoma. His pedagogical research interest includes technology and calculus education of STEM majors. He worked on several IRB approved pedagogical studies to observe undergraduate and graduate mathematics and engineering students’ calculus

Conference Session

Mathematics Division Technical Session 2

Collection

2017 ASEE Annual Conference & Exposition

Authors

Angeles Dominguez, Tecnologico de Monterrey, Monterrey, Mexico, and Universidad Andres Bello, Santiago, Chile; Genaro Zavala, Tecnologico de Monterrey, Monterrey, Mexico, and Universidad Andres Bello, Santiago, Chile; Maria Elena Truyol, Universidad Andrés Bello, Santiago, Chile

Tagged Topics

Diversity

Tagged Divisions

Mathematics

Calculus and Probability (IP) 162 (20%) 72% 239 62% Integral Calculus (IC) 185 (17%) 53% 203 29% Differential Equations (DE) 314 (30%) 54% 321 36% Total 1399 50% 1870 47%The table shows that there was an improvement in some of the courses. For example, for DE andIC, the percentage of students passing the course increased from 36% and 29% to 54% and 53%,respectively. However, there were some other courses in which there was not an improvement(e.g. DC had 53% and then 52%) and a course (PC) in which there was a decline in studentspassing

Conference Session

Mathematics Division Technical Session 4

Collection

2017 ASEE Annual Conference & Exposition

Authors

Campbell Rightmyer Bego, University of Louisville; Il Young Barrow, University of Louisville; Patricia A. Ralston, University of Louisville

Tagged Divisions

Mathematics

preparation in mathematics, which has been shown to predict student success in engineeringschool [1, 2, 3]. It is also widely acknowledged that calculus in particular is a significant barrierfor many undergraduate engineers, because many students who do not perform well in their firstsemester of mathematics do not stay in an engineering major [4, 5]. This is a significant challengefor all engineering schools, since calculus is the basis for higher level engineering concepts, andis therefore generally taught at the beginning of engineering programs. It is important to study first year student retention in engineering programs because of thelarge number of reasons that students may leave in their first year. However, it is also important tolook

Conference Session

Mathematics Division Technical Session 4

Collection

2017 ASEE Annual Conference & Exposition

Authors

Gavin Duffy, Ohio State University; Sheryl A. Sorby, Ohio State University; Austin Mack, Ohio State University; Brian Bowe, Dublin Institute of Technology

Tagged Topics

Diversity

Tagged Divisions

Mathematics

engaged in education research. Brian has also facilitated over 300 education devel- opment workshops on problem-based learning, assessment, curriculum development and peer instruction across 10 countries. His education research interests include examining students’ approaches to learn- ing within group-based project-driven pedagogies, epistemological development, progression, conceptual understanding and pedagogical evaluations. c American Society for Engineering Education, 2017 Performance by gender on university placement tests in mathematics and spatial skillsIntroductionIn an effort to enhance the first year experience (FYE) it is now common for higher

Conference Session

Mathematics Division Technical Session 3

Collection

2017 ASEE Annual Conference & Exposition

Authors

Shirley B. Pomeranz, The University of Tulsa; Peyton James Cook Ph.D., The University of Tulsa

Tagged Divisions

Mathematics

, our Department of Mathematics at The University of Tulsarelocated to newly renovated offices, and I had the task of emptying my office drawers andcabinets after twenty-eight years in the same office. I found all of my calculus notebooks that Ihad saved from the late 1960s, when I was an undergraduate and took my first calculus courses.After more than thirty years of teaching calculus, and in observance of my fiftieth anniversary ofhaving taken my first calculus course, I would like to share some of my experiences in learningand teaching calculus. As an undergraduate at Barnard College, I took a sequence of calculuscourses at Columbia University that was intended for physics and engineering majors. I nowteach in a mathematics department that

Conference Session

Mathematics Division Technical Session 2

Collection

2017 ASEE Annual Conference & Exposition

Authors

Guo Zheng Yew, Texas Tech University; Aimee Cloutier, Texas Tech University; Stephen Michael Morse, Michigan Technological University; Audra N. Morse, Texas Tech University

Tagged Divisions

Mathematics

asbeing “trivial” – contributes no added proficiency in mathematics as they are merely algorithmicor procedural, the observations that can be made from the results of applying these “trivial”methods can assist to expand students’ knowledge in the basic property of numbers, which weargue actually enhances mathematical proficiency.Algorithmic procedures, though probably never used in any real application, can provide a solidbackground for a more advanced topic later. Calculus students are taught Riemann sums and canbe assigned problems to approximate an area under a curve (maybe by hand) prior to introducingthe concept of integrals. After learning how to compute integrals analytically, students maynever use Riemann sums to calculate areas under