. TheMathematical Association of America has created a subcommittee on “Curriculum Renewalacross the First Two Years” (project CRAFTY) [1]. The MAA has also published a summary ofresults from the NSF-sponsored project [2] and two reports which focus on determining themathematical needs of partner disciplines [3]. Several new directions have emerged, and themost relevant ones can be grouped into three areas: Calculus re-sequencing [4] [5], activelearning methods [2] [6] [7] [8], and applications from engineering & sciences [9] [10] [11] [12].This paper discusses a calculus redesign project that is in progress in the School of Engineeringand Applied Sciences at the University of Virginia. It will focus on the following questions: 1. How did the
for Engineering Education, 2014 A Departmental Initiative to Effectively Incorporate Technology Use in Engineering Mathematics Education: A Case Study1 IntroductionThe paper presents a case study of the ongoing efforts of the department of EngineeringFundamentals at a medium-sized, urban university, to incorporate educational technology in itsengineering mathematics courses. In 2007 the ABET accredited J.B. School of Engineering atthe University of Louisville formed a new department, with primary focus on first yearengineering education. The department teaches introduction to engineering, engineeringgraphics, and engineering mathematics courses, with the majority of student credit hours inengineering mathematics. Part of
Paper ID #9418A Comprehensive Approach on Delivering Calculus to Engineering StudentsDr. Charles C.Y. Lam, California State University, Bakersfield Dr. Charles C.Y. Lam is an Associate Professor in the Department of Mathematics. Dr. Lam received his Ph.D. in Combinatorics and Optimization from the University of Waterloo. His research areas are in cryptography, digital watermarking, and combinatorics. He has mentored various undergraduate student researchers as a faculty mentor for the LSAMP and McNair Scholars Program. He has extensive experi- ence in undergraduate curriculum, research, and mentoring. Dr. Lam is
engineering curriculum. All expressed awillingness to continue to add required tools to the students’ mathematical toolbox if needed intheir specific curricula. If the proposed list of topics proved to be ambitious for the course,engineering faculty members were willing to cover some of the topics in subsequent requiredengineering classes. They felt strongly that the educational benefits provided by this course, asoutlined in the learning outcomes, discussed below, far outweighed the benefits of exposure to afew additional topics. This focus on deep understanding and application of concepts emphasizedthe important role pedagogy must play in the success of the new course. Therefore, theinstructional approach developed for the course was just as
difference isstatistically significant. Our theory is the students’ improved academic performance is due totheir remaining together as a cohesive and highly functioning unit for both semesters.ConclusionsAlthough we are pleased with the outcomes for our students in our two new tracks, it remains tobe seen if we can successfully implement all aspects of our plan. For example, it is unlikely thatwe will be able to completely eliminate the three-semester sequence for the least-prepared. Also,our institution is considering other changes to the curriculum that might impact the feasibility ofmaintaining several different tracks.Our project was intended to better meet the needs of engineering students at our institution. To alarge degree, performance is
acceptance and success is theusefulness and applicability of the projects. Students are highly motivated by tasks that stemfrom real engineering problems arising from their field of study2.One of those projects, the development of computer programs for the simulation andvisualization of two-dimensional incompressible fluid flows, is presented in this paper.The behavior of a viscous incompressible fluid is governed by the simplified Navier-Stokesequations, a coupled system of nonlinear partial differential equations. While the numericalsolution of linear partial differential equations is part of the standard EngineeringMathematics curriculum, the nonlinearity of the problem made it necessary to offersupplementary lectures in order to bridge the
students to solve more “realistic”engineering problems which are difficult or impossible to solve analytically. Second, thecomponent was designed to be an introduction to Matlab, such that students would have therequisite skills to use Matlab in future courses or to solve their own problems. Prior to this AEMcourse the students in the ECE program have little or no exposure to Matlab or any otherscientific or engineering computational software. This component thus allowed the students tolearn a new “tool” for problem solving through the power of numeric analysis.In the literature, there is a vast amount of work which has described the use of Matlab in theundergraduate engineering curriculum. A large group of this work involves the use of Matlab
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
AC 2012-4334: GAMEMATH! EMBEDDING SECONDARY MATHEMAT-ICS INTO A GAME-MAKING CURRICULUMErin Shaw, University of Southern California Erin Shaw is a Computer Scientist at the Information Sciences Institute at the University of Southern California’s Viterbi School of Engineering. Her research focuses on modeling and assessing student knowledge in the areas of science and mathematics and experimenting with new technologies for aiding assessment in distance learning. As a Co-Principal Investigator on National Science Foundation sponsored studies, she researches new ways to assess student collaboration in undergraduate engineering courses and new ways to motivate secondary mathematics learning in the context of computer
not only new contextand content, but also a corresponding pedagogical concept; a project-based learning and teamlearning approach is suggested in [1]-[3]. Project assignments should be formulated in such away that the students are encouraged to work on them through independent research, bothindividually and in teams. This would provide students with practical real-world experiencesearly on in their education and with a useful training in participatory skills.At the Institute of Automotive Engineering at Joanneum University of Applied Sciences wehave implemented project-based learning (PBL) environments since around the turn of thecentury [4]. During the last two decades a coherent procedure has been established as part ofthe undergraduate
purity.4) Pedagogical approach-Appropriate outcome statements will include:At the end of this lesson, students will be able to:•Relate the presence of crystal defects to an equilibrium free energy of the solid system.•Interpret the effects of crystal defects on an entire material system.•Relate the concepts of crystal purity to any material system where purity and defectconcentration affect subsequent properties and use.•Understand the value added in creating specialized facilities such as clean room manufacturingplants, and the often limited return on investment.The two applications described above have been integrated into the curriculum, on a pilot basis,of an introductory material science and engineering class (EGR-212), during the 2012
). Page 12.723.93. ASEE Prism, American Society of Engineering Education, October 2006.4. Office of Superintendent of Public Instruction, Washington State Report Card, http://reportcard.ospi.k12.wa.us/, (February, 14, 2007).5. Jackson, Shirley A. Changes and Challenges in Engineering Education. Plenary address at the American Society for Engineering Education Annual Conference, 2003.6. Shoreline Math Olympiad, http://www.shorelineschools.org/instruction/curriculum/math/Math_Oly/Math_Oly.html, (January 8, 2007).7. Washington State Mathematics Council, http://www.wsmc.net/, (January 8, 2007).8. Blaine School District, http://www.blaine.wednet.edu/, (January 8, 2007).9. Math is Cool, http://www.academicsarecool.com/index.php, (January 8, 2007
Paper ID #21040Demystifying Tensors: a Friendly Approach for Students of All DisciplinesJohn W. Sanders, California State University, Fullerton John W. Sanders is currently an Assistant Professor of Mechanical Engineering at California State Uni- versity, Fullerton. He holds a Ph.D. and M.S. in Theoretical and Applied Mechanics from the University of Illinois at Urbana-Champaign, and a B.S. in Engineering Physics and Mathematics from Saint Louis University. His research interests include clean energy, solid mechanics, micromechanics of materials, fracture mechanics, and STEM education research. c
students can choose their mentors and projects to fit their academicbackground and career interests.The major challenge to the degree program in computational mathematics at our university isthat the very small student body comes from a varied academic background, with the dual majorshaving a stronger engineering background than others. Maintaining very high retention is crucialto the success of the new degree program. The Computational Mathematics Seminar andCapstone courses are uniquely designed to offer students individualized education to best servetheir career interests and previous academic preparation.Freshman Seminar CourseAs the first core course of this unique curriculum, the purpose of the seminar course is toincrease student retention
computer programming. Coincidently the 2008 – 2009 employment and labor report by the U.S. Bureau of Labor Statistics predicts the need for engineers with programming experience will be one of the careers with the largest numerical increase and demand. This research outlines: 1) the need for engineering in k-12 environments, 2) analyzes the reasons for which schools have had a difficult time fully integrating engineering into school curriculum, 3) proposes a mixed content and pedagogical approach to teaching engineering and programming based on a hands-on inquiry approach, and 4) outlines additional benefits of using a blended content approach such as this (e.g., improved student
evaluation of this constitutes a main goalof an ongoing PhD dissertation in Mathematics Education. It is part of a broad work ofeducational research that we have been practicing in our institution in order to give elements ofdiscussion about the opportunity to transform curriculum by means of taking advantage of thenew technologies that offer great expectation about the way Mathematics could be learned.At present, some of these changes are available in a Calculus learning process that has beenpracticed in the current Mathematics for Engineering courses at Tecnologico de Monterrey. Thetextbook collection edited by Cengage Learning11, provides an approach to Calculus where thedesired interaction promotes the development of visualization, modeling and
Paper ID #5914Introducing Calculus to the High School Curriculum: Curves, Branches andFunctionsDr. Andrew Grossfield P. E., Vaughn College of Aeronautics & Technology Throughout his career Dr. Grossfield, has combined an interest in engineering and mathematics. He earned a BSEE at the City College of New York. During the early sixties, he obtained an M.S. de- gree in mathematics at the Courant Institute of NYU at night while working full time as an engineer for aerospace/avionics companies. He studied continuum mechanics in the doctoral program at the University of Arizona. He is a member of ASEE, IEEE and MAA
theconcepts being taught.ObservationsHigh school graduates entering college-level engineering, mathematics, and science coursesoften demonstrate a culture of rote learning [2]. They follow a prescribed approach to obtain ananswer, often times never pausing to think if or why the approach works. They can calculate s,and don’t question what the given V represents. While having a prescribed approach can aid indemystifying problem solving for apprehensive students and may increase productivity (in thatno time is spent thinking), such procedural approaches perpetuate the general mindset that mathand other STEM subjects are a ‘bag of tricks’ rather than a means of critical thinking. Thiscomplication became apparent while Dr. Brooks was formally enrolled in
, March 2016.14. Steen, L.A. (ed.) On the Shoulders of Giants: New Approaches to Numeracy. Washington, D.C.: National Academy Press, 1990.15. Steidel. Jr., R. F. and Henderson, J. M. The Graphic Languages of Engineering. Hoboken, NJ: Wiley, 1983Appendix 1: Official RaPower Space Agency (RPSA) Materials Catalog SOLAR CELLS SUPER-TORQUE MOTORS From: Edmund’s Scientific Type Cost (each) 1.5 V / 200 mA $100.00 From: Edmund’s Scientific 3 V / 100 mA $300.00 Type Cost (each) 6 V / 50 mA $450.00 115RPM, 0.8 in.-oz Torque $100.00
discusses several issuesrelated to mathematics education for engineers.I. IntroductionThe design of a new curriculum has led to the analysis of several related issues. Of particularimportance is the preparation in mathematics of engineering students and the creation of coursework in mathematics that better serves the needs of a sound and effective modern education fortoday’s students.The need to reform engineering education, particularly the mathematics content, stems fromseveral pressing issues. In recent years, close attention has been given to the desiredcharacteristics of engineering graduates and to their skill sets, leading to new accreditationrequirements from the Accreditation Board for Engineering and Technology (ABET). Within
AC 2008-1277: FRESHMAN-LEVEL MATHEMATICS IN ENGINEERING: AREVIEW OF THE LITERATURE IN ENGINEERING EDUCATIONWendy James, Oklahoma State University Wendy James is a PhD student in the College of Education at Oklahoma State University. Currently she has a fellowship promoting collaboration between the College of Education and OSU's Electrical and Computer Engineering department on an NSF funded curriculum reform project called Engineering Students for the 21st Century. She has her M.S. in Teaching, Learning, and Leadership from OSU, and her B.B.S. in Mathematics Education from Hardin-Simmons University in Abilene, Texas. She has taught math and math education classes at both the high school and
EngineeringEducation3 has pointed out positive results of integrated engineering curricula in retentionand diversity promotion and several future directions for research. In this paper, we report our findings in running a pilot course for Calculus I (arequired course for all students in the College of Engineering) with a new joint teachingapproach by engineering and mathematics faculty members. The course contents havebeen developed by joint collaboration of the faculty members by the mathematicsdepartment and engineering faculty and it has been taught using team teaching. In thisendeavor, the concept of integration of engineering concepts embedded in model-elicitingactivities has been implemented. To examine the effect of the new approach, anothergroup
scaffolds.Lee Meadows, University of Alabama Birmingham Dr. Meadows is a science educator employed as an Associate Professor in the Department of Curriculum and Instruction at the University of Alabama at Birmingham. His work focuses on teaching and on science education reform. He serves as the director for Alabama LASER (Leadership Assistance for Science Education Reform). Dr. Meadows is a participant in the Greater Birmingham Mathematics Partnership which focuses on improving mathematics instruction in middle school classrooms. Page 12.617.1© American Society for Engineering Education, 2007
overall perceived helpfulness of the video tutorials was high. Unfortunately,for about 30% of participants (mostly those indicating to never have used the video tutorials),no rating could be made concerning their perceived helpfulness. Among those whose answerscould be classified however, an overwhelming majority claimed the video tutorials to behelpful or very helpful.DiscussionThe current study took a qualitative approach to examine engineering students’ use of andsatisfaction with video tutorials in a mathematics course at a technical university in Germany.In summary, the results of the study showed that engineering students made use of thesevideos and appreciated them highly. Although the results concerning the frequency of usesuggest that
usually unseen bystudents and not acknowledged by faculty [1]. When exposed to this approach, many facultyrecall an “aha” moment in graduate school where the common structure underlying engineeringsuddenly became apparent. One of the goals of using the CAP framework is to help students seethis early in their career and use this framework to organize their learning and problem solving.History of CAPIn 1988, a group of faculty at Texas A&M University began work on a new integratedengineering curriculum to replace the core engineering science courses in a typical curriculum.The result was an interdisciplinary sequence of four courses called the Texas A&M/NSFEngineering Core Curriculum, which was organized around what they called the
integrate the foreign subject ofengineering, the “e” in STEM education, with little to no background or context. While teacherscan enhance their knowledge of new teaching strategies through attending STEM workshops ator outside of their school, current textbooks fail to include authentic engineering examples andthus offer little to no support to teachers. Also, few textbooks offer content that fostermathematical perseverance and literacy. Instead, these texts prefer to stampede on withoutclarification on algebraic or conceptual steps that may be ambiguous to students. With thesepoints in mind, a math textbook which integrates engineering at a practical and understandablelevel would be immensely valuable as teachers strive to satisfy the new
introduced the concept and where in the curriculum reinforcement was achieved. The next section presents three steps of conceptual connectivity required in the present approach, followed by some results and some new discoveries. Finally select recommendations are presented and concluded. Establishing conceptual connectivity – Step 1 Since ideal flows is an essential topic to be understood by all mechanical engineers who wish to master the fluid mechanics area, this area was selected to implement the methodology. Continuity is tested tracing back to the high school and early college courses in mathematics. The reader may consider these recommendations and implement any remedial strategies
modern technologyappropriately to take advantage of the speed and power of calculation but not impede conceptualunderstanding and learning. As technology continues to change, it is important that engineersretain the conceptual understanding so they can adapt to new tools and still solve futureengineering problems. It is hoped that through this literature review, good practices for properlyusing technology to supplement and improve mathematics education in undergraduateengineering can be compared and expanded upon.IntroductionThe mathematics ability of undergraduate engineering students has seemingly declined over thedecades [1, 2]. Due in part to the increased role of technology in their studies as well as theincreased focus on application of
Standards, a chapter in Multicultural Curriculum Transformation in Science Technol- ogy Engineering and Mathematics, and her current work, Developing a Mentorship Practice Through Self-Study in the Journal of School Leadership. She is also the lead faculty for the Secondary Educa- tion department’s anti-racism webinar series and consultant for the schools of Engineering and Computer Science, Communications and Social Work at CSU Fullerton. California State University System Chancellor’s Office Center for Closing the Opportunity Gap Webinar series: Preservice Teacher Candidate Epistemic Agency: Acquiring the Professional Skills of Becoming a Science Teacher” on March 3, 2021. The webinar discussed the interconnected
Engineering, Biomedical Engineering departments at North Carolina State University. In addition to teaching courses in the area of signals and sytems and participating in curriculum development initiatives, she coordinates the assessment and accreditation activities in both departments. Her research interests include Interdisciplinary activities between College of Engineering, College of Physical and Mathematical Sciences, College of Humanities and Social Sciences (Women's and Gender Studies,curriculum development and assessment, and biomedical image processing.Alina Duca, NCSU Dr. Alina Duca received her PhD in Mathematics from the University of Manitoba, Canada. She held a one-year