Conference Session

Mathematics Division Technical Session 2

Collection

2018 ASEE Annual Conference & Exposition

Authors

Leszek Gawarecki, Kettering University; Yaomin Dong, Kettering University; Gina Rablau, Kettering

Tagged Divisions

Mathematics

Society for Engineering Education, 2018 Redesigned Application Oriented Integral Calculus CurriculumAbstractThis paper presents the development of an application based curriculum for an integral calculuscourse, a project funded by the KEEN Foundation. Textbook examples are frequentlydisconnected from students’ immediate environment or use past data of little interest. In addition,information given on the subject is at most sketchy and the practical purpose of solving theseexamples is not clear. This lack of vivid applications in calculus courses motivated us to developcontent that can be used by instructors to enhance students’ learning experience by engagingthem directly in solving problems and applying attained skills to real life

Conference Session

Mathematics Division Technical Session 1

Collection

2018 ASEE Annual Conference & Exposition

Authors

Nancy Romance, Florida Atlantic University; Ali Zilouchian, Florida Atlantic University; Michael Vitale, East Carolina University; Lisa Greenberg, Florida Atlantic University

Tagged Topics

Diversity

Tagged Divisions

Mathematics

is related to increasing pipeline, graduation rate as well as future jobs in the State of Florida related to STEM graduates especially Computer Science and Engineering fields. His recent projects have been funded by DOE, Florida BOG, National Science Foundation, Florida Power and Lights (FPL), Broward County School district and several other sources. His recent research works related to alternative energy applications includes Maximum Power Point Tracking (MPPT) for Solar Systems, Proton Exchange Membrane Fuel Cell (PEMFC) and battery technology to transportation technology. In addition, he has conducted research on the applications of soft computing methodologies to industrial pro- cesses including, desalination

Conference Session

Mathematics Division Technical Session 4

Collection

2018 ASEE Annual Conference & Exposition

Authors

Gianluca Guadagni, University of Virginia; Hui Ma, University of Virginia; Lindsay Wheeler, University of Virginia

Tagged Topics

Diversity

Tagged Divisions

Mathematics

research studyexplored the impact of the Teaching Methods course for UTAs and demonstrates the success ofour program. A discussion of the program and preliminary outcomes are discussed in this paper.IntroductionUndergraduate Teaching Assistants [UTAs] provide a fundamental support to our educationalmission. We started to employ them, as an experiment, in 2014 in a Differential Equationscourse, and we have reported about the details in [1a]. After few years many more courses in ourEngineering school, and Applied Mathematics (APMA) courses in particular, have introducedUTAs in their class activities. The project of this effort has grown substantially to become astable feature of our program. Students who enroll in our APMA courses know that in

Conference Session

First-Year Programs Division - Visualization and Mathematics

Collection

2018 ASEE Annual Conference & Exposition

Authors

Kristen L. Sanford Bernhardt P.E., Lafayette College; Mary Roth P.E., Lafayette College

Tagged Divisions

First-Year Programs, Mathematics

that apply to multiple areas ofengineering (e.g., that students will understand the engineering design process), each section ofthe course may take different pedagogical approaches to achieving those outcomes. In addition,each professor selects his/her own topic and adds specific student learning outcomes to thecommon outcomes that are related to his/her area of disciplinary expertise. The sections of thecourse that serve as the foundation for the work presented in this paper are taught by facultymembers in chemical engineering, civil engineering, and mechanical engineering.The authors are motivated by a desire to understand how the different approaches faculty used inthis introductory course impact student learning. In a pilot project in fall

Conference Session

Mathematics Division Technical Session 3

Collection

2018 ASEE Annual Conference & Exposition

Authors

Carl Pettis, Alabama State University; Rajendran Swamidurai, Alabama State University; Ash Abebe, Auburn University; David Shannon, Auburn University

Tagged Divisions

Mathematics

as e-commerce, smart phones, and socialnetworking, are the main reason behind this exponential data growth [1]. This large volume ofstructured and unstructured data is known as “big data” [1, 4]. Data is generated every rapidly.For example, in just one second, users are performing 40,000 search queries on Google, sending520,834 messages on Facebook, and uploading 5 hours of video on YouTube on average [2].The large increase in data opens up doors for new types of data analytics called big data analyticsand new job opportunities [5]. The U.S. Bureau of Labor Statistics (BLS), Occupational OutlookHandbook 2018 [5] project that this large growth in data will create 34 percent more jobs from2016 to 2026. The BLS’s [6] report states that, “The

Conference Session

Mathematics Division Technical Session 2

Collection

2018 ASEE Annual Conference & Exposition

Authors

Doug Bullock, Boise State University; Janet Callahan, Boise State University; Jocelyn B. S. Cullers, Boise State University

Tagged Topics

Diversity

Tagged Divisions

Mathematics

assessment tools to measure the effects ofthe project on students’ grades and retention. The toolkit includes: (1) pass rate and GPA inCalculus I, (2) longitudinal analysis of pass rates and GPA in subsequent courses, (3) impact ofCalculus I on retention in STEM and retention at BSU, (4) all of the above comparing students inreformed Calculus vs traditional Calculus, (5) all of the above for underrepresented minorities,women, or other demographic subsets. While these tools were originally developed to study theCalculus I project, they are available for studying the effects of other courses on studentacademic performance and retention.In this paper, we briefly describe a rebuild of Calculus II, overhauled in the 2015-16 school yearfollowing the same

Conference Session

Mathematics Division Technical Session 2

Collection

2018 ASEE Annual Conference & Exposition

Authors

Stacie Pisano, University of Virginia; Hui Ma, University of Virginia; Bernard Fulgham, University of Virginia; Gianluca Guadagni, University of Virginia; Diana D Morris, University of Virginia; Monika Abramenko, University of Virginia

Tagged Divisions

Mathematics

of years I became a lecturer in the Engineering Department at the University of Virginia where I am teaching now full time. c American Society for Engineering Education, 2018 Redesigning the Calculus Curriculum for Engineering StudentsIntroductionThis paper provides an overview of year two in our calculus redesign project, marking thesecond step in a three-year plan to make over the calculus sequence. In our previous paper [0] wediscussed the motivation for the Calculus curriculum redesign at our institution, as part of agreater effort to improve and innovate the calculus sequence in many universities in the US. TheMathematical Association of America, MAA, with support by NSF, has published

Conference Session

Mathematics Division Technical Session 3

Collection

2018 ASEE Annual Conference & Exposition

Authors

Robert G. Batson P.E., University of Alabama

Tagged Topics

Diversity

Tagged Divisions

Mathematics

Paper ID #21065How to Make Engineering Statistics More Appealing to Millennial StudentsDr. Robert G. Batson P.E., University of Alabama Bob Batson is a professor of construction engineering at The University of Alabama. His Ph.D. train- ing was in operations research, and he has developed expertise in applied statistics over the past thirty years. He currently teaches the required courses in project management, safety engineering, engineering management, and engineering statistics within the undergraduate programs of the Civil, Construction, and Environmental Engineering Department, and graduate courses in operations

Conference Session

Mathematics Division Technical Session 3

Collection

2018 ASEE Annual Conference & Exposition

Authors

Campbell R Bego P.E., University of Louisville; Patricia A. Ralston, University of Louisville; Angela Thompson P.E., University of Louisville; Adrienne Parsons, University of Louisville; Gale J. Crush, University of Louisville, Speed Scientific School

Tagged Divisions

Mathematics

skills were assessed with in-class quizzes and exams. The material was divided into 7units, and each unit was covered in roughly two weeks. A unit quiz was given one week, and a unit exam the nextweek, so that there was a quiz or exam every week. Each of the seven units had 8-11 unit objectives and 15-20homework problems. Homework was collected each week on the day of the quiz or exam.Classes were held in a large auditorium, and DyKnow was used to deliver the basic course notes to students.DyKnow is an interactive classroom management software. In DyKnow, instructors can share content with students(sharing prepared slides and/or writing on tablets during class), and the notes are projected both to the front of theroom as well as onto students

Conference Session

Mathematics Division Technical Session 2

Collection

2018 ASEE Annual Conference & Exposition

Authors

Jose Roberto Portillo, Universidad Galileo; Alberth E Alvarado, Universidad Galileo; Jorge Samayoa Ranero, Universidad Galileo

Tagged Topics

Diversity

Tagged Divisions

Mathematics

education, vol. 82, no. 1, pp. 33–53, 2011. [2] S. Choy, “Nontraditional undergraduates: Findings from the condition of education 2002. NCES 2002-012.”, National center for education statistics, 2002. [3] W. J. Hussar and T. M. Bailey, “Projections of education statistics to 2022. NCES 2014-051.”, National center for education statistics, 2014. [4] H. G. Schuetze and M. Slowey, “Participation and exclusion: A comparative analysis of non-traditional students and lifelong learners in higher education”, Higher education, vol. 44, no. 3-4, pp. 309–327, 2002. [5] V. Johnson, “What works in improving retention”, Learning from the napier student retention project–napier university, UK, presented at southampton institute, UK, 25th

Conference Session

First-Year Programs Division - Visualization and Mathematics

Collection

2018 ASEE Annual Conference & Exposition

Authors

Jeffrey A. Davis, Grant MacEwan University; Shelley Lorimer P.Eng., Grant MacEwan University

Tagged Divisions

First-Year Programs, Mathematics

Paper ID #21855Student performance on drawing Free Body Diagrams and the effect on Prob-lem SolvingDr. Jeffrey A Davis P.Eng., Grant MacEwan University Dr Davis obtained his PhD at ETH Zurich specializing in numerical simulation of multiphase flow. With a passion for teaching, Dr. Davis’ research focuses on pedagogical topics such as student engagement, active learning, and cognitive development. Projects he is currently working on include ”Development of a risk assessment model for the retention of students”, ”Development of Student Assessment Software”, and ”Improving Student Engagement through Active Learning”.Dr

Conference Session

Mathematics Division Technical Session 2

Collection

2018 ASEE Annual Conference & Exposition

Authors

Daniel Raviv, Florida Atlantic University

Tagged Divisions

Mathematics

protons and electrons with varyingnumber of neutrons. By focusing on calculus there are some books that include visualexplanations (see for example references [2-10]). Of a special interest is the work by Apostol andMamikon from Caltech [11,12]. They were able to explain integration of some functions withoutthe need for mathematical formulas. The author of this paper published papers on this topic [13-20] in addition to books [21,22], one for understanding concepts in “Control Systems” and theother for understanding the basics of “Newton’s Laws of Motion.”The bigger pictureThis work is part of a multi-modal integrated project aimed at understanding concepts in STEM.The approach is meant to help both teachers and students, thereby allowing for

Conference Session

Mathematics Division Technical Session 2

Collection

2018 ASEE Annual Conference & Exposition

Authors

Ashley Bernal, Rose-Hulman Institute of Technology; Jeffery J. Leader, Rose-Hulman Institute of Technology; Jessa B. Ward, Rose-Hulman Institute of Technology

Tagged Divisions

Mathematics

following week). The new sequence,entitled Introduction to Engineering Mathematics I and II (replacing Calculus I and II) andApplied Multivariate Calculus (replacing Calculus III), consists of 4-credit courses that met for 3days per week in standard format, along with a double period meeting 1 day per week. Thisscheduling preserved the 5 contact hours of the standard sequence. However, due to the doubleperiod day being used for laboratory activities 4 times per quarter and projects/recitation 6 timesper quarter, that day only counted as 1 credit hour toward the total.The laboratory activities discussed in this paper were developed to enhance the Calculus Ivariant. The labs were developed by one group of faculty and tested by another group during

Conference Session

Mathematics Division Technical Session 4

Collection

2018 ASEE Annual Conference & Exposition

Authors

Andrew H. Phillips, Ohio State University

Tagged Divisions

Mathematics

Graduate Teaching Associate for the Fundamentals of Engineering for Honors program, he is heavily involved with developing and teaching laboratory content, leading the maintenance of the in-house robotics controller, and managing the devel- opment of the robotics project. c American Society for Engineering Education, 2018 Technology’s Role in Student Understanding of Mathematics in Modern Undergraduate Engineering CoursesAbstractThis paper seeks to identify important implications on the use of technology in the teaching ofmathematics in modern undergraduate engineering courses. These are used to create a big pictureof the current situation of engineering mathematics teaching

Conference Session

Mathematics Division Technical Session 1

Collection

2018 ASEE Annual Conference & Exposition

Authors

Paul L. Goethals, United States Military Academy; Karoline Hood, United States Military Academy

Tagged Divisions

Mathematics

that are further nested withineach of these course objectives.During the academic year in 2017, 51 engineering major students completed EngineeringMathematics during their educational experience. For the course, a student could earn up to 2000points in graded material, consisting of quizzes, problem sets, a course-wide project, andexaminations. The course was taught in four sections by three different instructors, enabling thestudent-teacher ratio to remain small at roughly 14:1. A typical class consisted of a 20-25 minuteperiod of instruction on a subject with another 30 minutes of the students working problems onthe boards (see Figure 1). The low student-teacher ratio facilitated more interaction with thestudents and a better awareness or

Conference Session

First-Year Programs Division - Visualization and Mathematics

Collection

2018 ASEE Annual Conference & Exposition

Authors

Adetoun Oludara Yeaman, Virginia Tech; Diana Bairaktarova, Virginia Tech; Tamara Knott, Virginia Tech

Tagged Divisions

First-Year Programs, Mathematics

ENGAGE Engineering Project [6] offercourses in spatial visualization. These courses have been shown to positively impact participantspatial skills and retention in engineering programs [7], [8], [9]. A number of studies have alsoinvestigated the role of solution strategy in spatial performance. In 1991, Schultz [10] developedand tested the Spatial Strategy Questionnaire (SSQ) and used it to examine the contribution ofstrategy to variations in spatial performance on a number of spatial tasks including mentalrotation. This study found a significant contribution of strategy to performance in mentalrotation higher performance on the MRT being associated with the use of a strategy involving“moving the object” and avoidance of a strategy of the use of

Conference Session

Mathematics Division Technical Session 4

Collection

2018 ASEE Annual Conference & Exposition

Authors

Eliza Gallagher, Clemson University; Christy Brown; D. Andrew Brown, Clemson University; Kristin Kelly Frady, Clemson University; Patrick Bass, The Citadel; Michael A. Matthews P.E., University of South Carolina; Thomas T Peters, South Carolina's Coalition for Mathematics & Science; Robert J. Rabb P.E., The Citadel; Ikhalfani Solan; Ronald W. Welch P.E., The Citadel; Anand K. Gramopadhye, Clemson University

Tagged Topics

Diversity

Tagged Divisions

Mathematics

, vol. 99, no. 2, pp. 169–178, 2010.[11] U.S. Department of Education. National Center for Education Statistics, “Profile of undergraduates in U. S. postsecondary institutions: 1999 – 2000,” NCES 2002 – 168, Washington, DC, 2002, by Laura Horn, Katharin Peter, and Kathryn Rooney. Project Officer: Andrew G. Malizio.[12] National Academy of Sciences, Expanding Underrepresented Minority Participation: America’s Science and Technology Talent at the Crossroads. Washington, DC: National Academies Press, 2011.[13] E. Hsu, T. J. Murphy, and U. Treisman, “Supporting high achievement in introductory mathematics courses: What we have learned from 30 years of the Emerging Scholars Program,” in Making the Connection: Research and