Connecticut. Her educational research interests include retention, mathematics and materials science teaching and learning, first-year programs, accreditation, and faculty development.Ms. Jocelyn B. S. Cullers, Boise State University Jocelyn B. S. Cullers is a Data Analyst at the Institute for STEM & Diversity Initiatives at Boise State University. c American Society for Engineering Education, 2018 The Crux: Promoting Success in Calculus IIAbstractIn the 2013-14 school year, Boise State University (BSU) launched a major overhaul of CalculusI. The details of the reform, described elsewhere, involved both pedagogical and curricularchanges. In subsequent years, we developed several
, ranging from the new Pre-Calculus for Engineers course to capstone courses for future teachers.Dr. Lydia Prendergast, Rutgers University, School of Engineering Assistant Dean for Academic Services Interests: Active learning in STEM, Course transformations, Fac- ulty development.Jillian A.S. Mellen, Rutgers University, New Brunswick Jillian is a senior undergraduate student studying Astrophysics at Rutgers University in New Brunswick, where she is also a teaching assistant. Her primary research area is in physics education and she hopes to attend graduate school to continue researching. She is a mother of two and the president of a local non-profit organization representing a diverse urban elementary school.Dr
Paper ID #13123Using Khan Academy to support students’ mathematical skill developmentin a physics courseDr. Christine Lindstrøm, Oslo and Akershus University College Christine Lindstrøm works as an Associate Professor of Science in the Faculty of Teacher Education at Oslo and Akershus University College in Oslo, Norway, where she teaches physics and science education to pre-service science teachers. She undertook her tertiary studies at the University of Sydney, Australia, from which she has a Bachelor of Science (Honours), Master of Education and PhD in Physics. Christine’s PhD project was in Physics Education Research
what they need to know mathematically. Thispaper presents just such a documentation of the mathematical content in a typical first-year physics course.1. IntroductionThe Department of Mathematics of a typical large mid-western university teaches alarge number of students each year, of whom about 70% are engineering students. TheDepartment of Physics teaches also teaches many student each year, of which about75% are engineering students. Many of these engineering students are enrolled in thebasic first-year courses in physics and mathematics, and to accommodate such largenumbers, course enrollments are split into multiple large lectures and supplementedwith smaller recitation sections.To ensure uniform teaching, the curriculum in physics and
state-assisted university in the western part of thestate. It is one of 139 public institutions of higher learning that are classified by The CarnegieFoundation for the Advancement for Teaching as “research universities.” Our institution isdesignated by the Consortium for Student Retention Data Exchange (CSRDE) at the Universityof Oklahoma1 as “Moderately Selective” in its classification of four-year universities. The othercategories in the classification are “Highly Selective,” “Selective,” and “Less Selective.” TotalFall 2015 enrollment at our institution consisted of 18,567 undergraduates and 4,989 graduatestudents. In 2013-14, a total of 3,823 bachelor’s, 1,313 master and 126 doctoral degrees wereconferred by WMU.The College of Engineering
professor in the department of electrical engineering and computer science at Tulane University. Dr. Belkhouche's research interests focus on robotics, control of multi-agent and distributed systems, and image processing.Rohitha Goonatilake, Texas A&M International University Dr. Rohitha Goonatilake is currently serving as an Associate Professor of Mathematics in the Department of Mathematical and Physical Sciences at Texas A&M International University, Laredo, Texas. He obtained his PhD degree in applied mathematics from Kent State University, Kent, Ohio in 1997.Qingwen Ni, Texas A&M International University Dr. Ni is an Associate Professor of Physics at Texas A&M
AC 2009-141: INTERACTIVE INSTRUCTION, REMEDIATION, AND RESEARCHINMarilyn Reba, Clemson University Page 14.781.1© American Society for Engineering Education, 2009 Interactive Instruction, Remediation, and Research in Freshman Calculus via Pen-Technology and Web-based SoftwareAbstract Too many students in Freshman Calculus are unprepared for the pace at which new conceptsare introduced, are unable to implement prerequisite Algebra skills, and are unwilling to seekanswers to their questions in front of their classmates. We report on how the Department ofMathematical Sciences at Clemson University, through a
Ph.D.s in mathematics. Page 13.284.1© American Society for Engineering Education, 2008 Challenges and Innovations in Teaching Linear AlgebraAbstractA solid grounding in linear algebra is essential in many fields of engineering. As a result, at ourinstitution, linear algebra is a required course for our pre-engineering majors and is taught at thesophomore level. The students enrolled in this course have not usually had a proof methodscourse; however, the course focuses not only on computation but also on reasoning and theory.The content in this course presents a specific challenge in that it is difficult to cover the
learning. Forexample, one exercise enables students to build upon previously acquired knowledge related tocounting techniques and the concept of statistical independence and, through self-discovery,derive the probability mass function for the binomial distribution. Data were collected from botha control group and a treatment group. Preliminary results regarding the efficacy of such anapproach are presented.1. IntroductionThe need for a strong engineering workforce in the United States has been affirmed by severalnational studies including some sponsored by both the National Science Foundation and theNational Academy of Engineering1-3. Existing research on learning and teaching offerspedagogical approaches that have proven to be effective in
2006-728: INNOVATIVE TEACHING OF FOURIER SERIES USING LABVIEWPeter Avitabile, University of Massachusetts-Lowell Peter Avitabile is an Associate Professor in the Mechanical Engineering Department and the Director of the Modal Analysis and Controls Laboratory at the University of Massachusetts Lowell. He is a Registered Professional Engineer with a BS, MS and Doctorate in Mechanical Engineering and a member of ASEE, ASME and SEM.Jeffrey Hodgkins, University of Massachusetts-Lowell Jeff Hodgkins is a Graduate Student in the Mechanical Engineering Department at the University of Massachusetts. He is currently working on his Master’s Degree in the Modal Analysis and Controls Laboratory
(6.1%), Engineering Physics &Physics (2.0%), Experimentation and Laboratory-Oriented Studies (2.0%), BiomedicalEngineering (2.0%), and Military and Veterans (2.0%). Three papers (4.1%) published in 2005were not published within ASEE divisions as they currently exist.Analysis of Results by Target ClassesMost frequently faculty implemented innovations within typical first-year calculus courses(Table 5). Specifically, 59.2% and 30.6% of retained records reported modifications to or insupport of Calculus I and II, respectively. Fewer retained records reported modifications to or insupport of Calculus III (18.4%) and Calculus IV (4.1%). As some students arrive to engineeringprograms with insufficient math preparation, 26.5% of retained records
higherpercentage in some of the categories was merely due to the probability of student guessing thecorrect answer. It was determined that the higher average percentage of correct answers in threeof the categories had a high probability of being caused by student knowledge gained fromEngineering Calculus II.The collaboration between the Mathematics and Engineering Technology department on theEngineering Calculus II course is anticipated to continue. It is anticipated that many students willbenefit from future offerings of this course.References[1] K.A. Stroud and D.J. Booth, Engineering Mathematics, 7th ed., South Norwalk, CT: Industrial Press, 2013.[2] Y. Liu, D. Miller, E. Mayer, "2016 Summer Teaching Innovation Grant Summary: Creating Cross
AC 2008-2703: EARLY BIRD - TEACH MATHEMATICS BEFORE PROBLEMSARISESabina Jeschke, University of Stuttgart After receiving her M.Sc. in Physics at the Berlin University of Technology in 1997, graduating with distinction, Sabina Jeschke worked as an assistant teacher at the department for mathematics and natural sciences and earned her doctorate in 2004. Holding a scholarship from the German National Academic Foundation, she spent several months of research at the NASA in Moffet Field, CA. In 2000 and 2001, S. Jeschke worked as an instructor at the GaTech (Georgia Institute of Technology, Atlanta). Since 2005, Sabina Jeschke has been associate professor for "New Media in Mathematics and
particular, to address reason 6 (loss of interest in science and engineering) EXCEL hasdeveloped two one-credit courses that are taught in tandem with Calculus I and II, calledApplications of Calculus I and II (Apps I and II). These courses were developed as a result ofstudies that have shown that students increase their appreciation of calculus through applicationsin science and engineering [3-5]. Six science and engineering faculty, in coordination with themath faculty who teach the calculus topics, team teach the Apps I and II courses. In Apps I and IIfaculty demonstrate to students how a particular calculus topic is used in their future science andengineering courses or how the professor uses it in their own research. For example, a chemisthas
2006-1549: TEACHING NUMERICAL METHODS IN ENGINEERING WITHMATHCADPaul Wlodkowski, Maine Maritime Academy Dr. Paul Wlodkowski is an Assistant Professor of Engineering at Maine Maritime Academy and the Coordinator for the Marine Systems Engineering (MSE) Program. He received his A.B. in physics and economics (cum laude) from Dartmouth College in 1988; an M.S. in Engineering Physics from the University of Virginia in 1990; and Ph.D. in Reliability Engineering from the University of Maryland in 1999. At Maine Maritime Academy, his responsibilities include teaching and advancing the MSE curriculum within the Department of Engineering. His current interests include the enhancement of cross
training. She teaches undergraduate courses related to environmental management, energy and fundamentals of industrial processes at the School of Engineering, UNAB. She currently is coordinating the Educational and Academic Innovation Unit at the School of Engineering (UNAB) that is engaged with the continuing teacher training in active learning methodologies at the three campuses of the School of Engineering (Santiago, Vi˜na del Mar and Con- cepci´on, Chile). She authored several manuscripts in the science education area, joined several research projects, participated in international conferences with oral presentations and key note lectures and serves as referee for journals, funding institutions and associations
contents3. Improve the delivery of laboratories and lectures, make abstract and non-intuitive mathematics concepts “visible”, “touchable”, and thereby, easy to understand4. Increase STEM students’ math course passing rate5. Foster students’ interest in mathematics, promote active learning, and motivate them to stay in STEM programsTo achieve the goal and objectives, the project consists of innovative technologies that enhancemathematics and engineering connection, simplify and speed up the process of complicatedconcepts delivery, as well as encourage critical thinking.Virtual Lab and Teaching Module Innovations1. Gaming and Virtual Reality Learning PlatformTo help students in mathematics courses, researchers from higher education have
taught.At the University of Alabama at Birmingham, an engineering mathematics course hasincorporated the use of projects to stimulate students as they delve into an extended problem thatrelates contextually to some physical problem and increases their awareness of dimensionalanalysis and units. It provides an extended bridge into the types of problems that they may oneday solve, especially since homework problems are not representative of the projects many inengineering may face in the work force. Projects may narrow the disconnect between the short,segmented units by relating current content to former courses, new ideas, and current issues insociety. With little to no insight on the projects from the professors, who team teach the course,students
AC 2010-1363: AN INNOVATIVE UNDERGRADUATE COMPUTATIONALMATHEMATICS CURRICULUM FOR ENGINEERING STUDENTS SEEKINGDUAL MAJORJayathi Raghavan, Embry-Riddle Aeronautical University, Daytona BeachHong Liu, Embry-Riddle Aeronautical University, Daytona Beach Page 15.160.1© American Society for Engineering Education, 2010 An Innovative Undergraduate Computational Mathematics Curriculum for Engineering Students Seeking Dual MajorsAbstractIn this paper, we discuss the design of a unique undergraduate curriculum in ComputationalMathematics for students in the engineering fields who wish to pursue a dual major. At theinstitution that the authors teach, an
.” Proceedings of the 2005 American Society for Engineering Education Annual Conference & Exposition, Session # 2265, 2005.5. Buechler, D. N. “Mathematical Background Versus Success in Electrical Engineering.” Proceedings of the 2004 Annual Conference & Exposition, Session No. 3565, Salt Lake City, Utah, June 20-23, 2004.6. Duderstadt, J.J. “Engineering for a changing world, a roadmap to the future of Engineering Practice, Research and Education”, The Millenium Project. The University of Michigan. 2008.7. Beichner, R. J., L. Bernold, E. Burniston, P. Dail, R. Felder, J. Gastineau, M. Gjertsen, and John Risley. “Case study of the physics component of an integrated curriculum.” American Journal of Physics, 67.S1
Paper ID #8153Integrating digital technology for the innovation of Calculus curriculumDr. Patricia Salinas, ITESM Dr. Patricia Salinas is a Full Professor of the Mathematics Department at Tecnol´ogico de Monterrey, Mon- terrey Campus, with previous appointments as Full Professor at the School of Physics and Mathematics at the Universidad Aut´onoma de Nuevo Le´on. Her professional concern is about issues with the teaching and learning of Mathematics, this guided her preparation committed to the research on this field. She obtained two Master degrees, and her Doctoral Dissertation in Mathematics Education was recognized
Topology; teaches statistics, applied calculus, calculus and analytical geometry, and ordinary differential equations; current research interest is in knot theory. American c Society for Engineering Education, 2021 Math in Engineering: Looking Beyond the EquationsAbstractIn this paper, perceived student shortcomings that inhibit a student’s acceptance, development,and lifelong recognition of mathematics usage are discussed. Observations made in calculus andengineering statics regarding student attitudes towards mathematics, the use of mathematics,modern computing, and learning in general, are presented and discussed. Interventions areproposed to help students
) motivating students in the applications of themathematical concepts that reflect realistic problems in their prospective engineering careers, 2)integrating these complicated applications into the tight schedule of engineering courses, 3)leveraging the overwhelming complexity so that the students are not intimidated, and 4)compensating for the lack of physical models required in most engineering applications Theauthors considered these challenges in the development of modules and agreed that a frameworkfor module development was required. The authors began preliminary research to develop sucha framework centered on the concept of abstraction.The authors began by exploring resources developed by other colleagues, reviewing the existingdigital library
publication. In addition to teaching regular math courses, I also like to create and teach innovative courses such as ”Mathematical symmetry of Southern Spain” and ”Mathematics and Architecture of the Incas in Peru”, which I have taught as study abroad courses several times.Michael P. Hennessey, University of St. Thomas Michael P. Hennessey (Mike) joined the full-time faculty as an Assistant Professor fall semester 2000. He is an expert in machine design, computer-aided-engineering, and in the kinematics, dynamics, and control of mechanical systems, along with related areas of applied mathematics. Presently, he has published 41 technical papers (published or accepted), in journals (9), conferences (31), or magazines (1). In
for the STEM Affinity Group, School of Natural Sciences and Mathematics, California State University, Bakersfield. Duties included teaching responsibilities in Undergraduate Biology. Additional duties included grant writing, manage- ment, and evaluation. RESEARCH INTERESTS: Include teaching and learning cognition skills, informal learning environ- ments and strategies, and science/technology curriculum design/implementation/evaluation. c American Society for Engineering Education, 2020 Lessons from a Lower Division Mathematics Co-Teaching SequenceAbstractStudents entering STEM programs at California State University, Bakersfield (CSUB) have alow level
Paper ID #18712MOSL: An Innovative Approach to a Supplementary Course of Mathematicsin EngineeringIng. Jose R. Portillo, Universidad Galileo Roberto Portillo is a mathematics professor and sub-director of the Teaching Assistants Department of Universidad Galileo in Guatemala. He holds a Bs. in Electronics and Computer Science and a Ms. in Operations Research. In several years he was awarded with the ”Excellence in Teaching” award. His current research interests are focused in Engineering Education.Dr. Alberth E. Alvarado, Universidad Galileo Alberth Alvarado received (with honors) the B.S. degree in Electronics and
and correct treatment of physical units in computing.The development of a new degree program in Electrical and Computer Engineering at SUNYOswego has provided an opportunity to research ways to leverage best practices in engineeringeducation as well as improved course content in order to offer an innovative, modern, andefficient engineering education. As part of this effort, preparatory courses in mathematics havebeen reviewed with the objective of streamlining the curriculum and improve its efficiency. Incollaboration between engineering and mathematics faculty, a mathematics course for engineershas been developed and its content carefully reviewed to offer a preparation that allows studentsto better address concepts needed and applied in
2006-82: AN EXPERT SYSTEM FOR TEACHING PARTIAL DIFFERENTIALEQUATIONSArthur Snider, University of South FloridaSami Kadamani, Hillsborough Community College Dr. Kadamani is a Professor of Science at Hillsborough Community College Page 11.188.1© American Society for Engineering Education, 2006 An Expert System for Partial Differential EquationsAbstractThe execution of the solution, by the separation of variables process, of the Poisson, diffusion,and wave equations (homogeneous or nonhomogeneous) in rectangular, cylindrical, or sphericalcoordinate systems, with Dirichlet, Neumann, Robin, singular, periodic, or Sommerfeld boundaryconditions
Paper ID #16439Embedding Mathematics in Engineering Design ProjectsDr. Larry G. Richards, University of Virginia Larry G Richards is a Professor in the Department of Mechanical and Aerospace Engineering at the University of Virginia. He leads the Virginia Middle School Engineering Education Initiative, and is active in K 12 outreach and professional development activities locally and nationally. Larry’s research interests include creativity, entrepreneurship, engineering design, innovation, and K-12 engineering education. He is a founding member of the K-12 Division and is a Fellow of ASEE.Prof. Susan K. Donohue
Academy and his M.S.E. and PhD in Mechanical Engineering from the University of Texas at Austin. His research and teaching interests are in mechatronics, regenerative power, and multidisciplinary engineering. c American Society for Engineering Education, 2018 Paper ID #23231Prof. Ikhalfani Solan Ikhalfani Solan is a Professor of Mathematics at South Carolina State University. He received his B.Sc in Mathematics and Physics from the University of the West Indies, Jamaica and his Ph.D. in Mathematics from the University of South Carolina. At South Carolina State University he teaches several