) 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
. Going back to these simple situations is sometimes the bestway to help our students get involved in the mathematics they will use throughout their careers. Page 14.405.14
Chemical Engineering Department at the University of Massachusetts Lowell. Page 11.1205.1© American Society for Engineering Education, 2006 Teaching Differential Equations with an Engineering FocusIntroductionStudents’ lack of motivation is a significant obstacle to their learning basic STEM (Science,Technology, Engineering and Mathematics) material. Students often do not see the relevance oftheir mathematics courses, for example, to courses in their majors or to their careers until longafter the courses have ended. Consequently, their motivation to learn the material in mathematicscourses is low, and their retention of this
2006-680: THE ROADMAP OF ARITHMETIC: SUMMING IT UPAndrew Grossfield, Vaughn College of Aeronautics Throughout his career Dr. Grossfield, has combined an interest in engineering design and mathematics. He earned a BSEE at the City College of New York. During the early sixties, he obtained an M.S. degree in mathematics at night while working full time during the day, designing circuitry for aerospace/avionics companies. He is licensed in New York as a Professional Engineer and is a member of ASEE, IEEE, SIAM and MAA. Ai207@bfn.org is his e-mail address. Page 11.1323.1© American Society for Engineering
at longer success rates of students. Undergraduate engineering programs are rigorousthroughout, and students need to gain base knowledge in mathematics, the sciences, and problem-solving as well as specific field-based knowledge in order to have an engineering career. This doesnot occur in a single semester or even a single year. At the University of Louisville (UofL) J.B. Speed School of Engineering, the mathematicssequence includes three, 4-credit-hour courses of engineering-based calculus, (EngineeringAnalysis I, II and III), followed by a 2-credit-hour course in differential equations (DifferentialEquations for Engineering). Engineering Analysis I begins with an algebra review, progressesthrough limits, and then follows the
Alberta). Prior to her career at MacEwan, Shelley worked in industry as a research engineer and a consulting engineer for several years. c American Society for Engineering Education, 2018 Student performance on drawing Free Body Diagrams and the effect on Problem SolvingAbstractUsing data involving free-body diagrams on final exams from a first year Mechanics I course, abroadly defined rubric was created which assesses free body diagrams in six separate categories:overall quality, forces/moments, body, axes, dimensions, and resulting equations. Data from 238free-body diagrams and equilibrium equations were then assessed. Results of the study foundthat 45% of the
mathematics instead of conceptual understanding, modernundergraduate engineering students have more difficulty with even basic algebraic and numericalanalysis. In addition, engineering students do not always see the relevance of learningmathematics to their future careers or even to their future college coursework [2].However, these same students are still graduating with engineering degrees and going to work inindustry or in research. One possible reason for this is the potential slipping of mathematicalstandards in universities. A study comparing the mathematics performance of students at acertain university in 1997 and in 1990 found that students with average grades in 1997performed just as poorly as students with very low grades in 1990 [3].This
anticipated that the deeper understanding of the materials gained by being aUTA will entice them to enroll in more rigorous courses as they matriculate. It is possible thatthe teaching experience may influence them to pursue an academic career at either the primary,secondary or collegiate levels.5. AcknowledgementsPartnership for Retention Improvement in Mathematics, Engineering, and Science (PRIMES),National Science Foundation Project NSF-08569, $1,997,451, June 1, 2011 – May 31, 2016.Bibliography1. Otero, V., Pollock, S. & Finkelstein, N. A physics department’s role in preparing physics teachers: The Colorado learning assistant model. Am. J. Phys. 78, 1218 (2010).2. Otero, V., Finkelstein, N., McCray, R. & Pollock, S
. Garzolini, Boise State University Judith (Jude) Garzolini is the National Science Foundation (NSF) Grant Project Manager for the Idaho STEP grant at Boise State University. She is responsible for managing the $1 Million grant to plan and implement activities focused on increasing the throughput of graduates in Science, Engineering, and Mathematics. During her over 23-year career in industry she worked for Hewlett-Packard Company where she contributed as both an R&D project manager and program manager in the disk drive and printing supplies businesses. Jude received a B.S. in Chemical Engineering from Wayne State University and a Master of Business Administration from the University of California, Davis. She was
, and Starr Counties in Texas, and he has worked with a variety of issues surrounding entry level mathematics and science at two-year and four-year schools in Texas.Dr. Javier Angel Kypuros, University of Texas, Pan American Javier Kypuros received a B.S.E. in Mechanical Engineering from Princeton University in 1996. He later received an M.S.E. and Ph.D. in Mechanical Engineering in 1998 and 2001 from The University of Texas at Austin. Javier began his career at The University of Texas at El Paso in 2001 and later joined the faculty at The University of Texas-Pan American (UTPA) in 2002. He is currently a Professor in the Mechanical Engineering Department and Associate Dean for Undergraduate Affairs in the College
struggle.Conclusion While CTU is excited about the increases in student performance we have seen inboth Trigonometry and Pre-calculus, what is even more promising is the realization thatwe can bring our already successful Intellipath application to our campus-based students.Because we now know that integrating adaptive learning into traditional, ground classescan enhance student learning and, thus, enable success in follow on math courses, futureplans include incorporating the same technology and approach in lower level mathcourses on campus in order to provide Engineering students the strong math foundationthey need to be successful in their programs and in their careers. References 1. Blair, R
, generalizing the connection between exponential and Poisson distribution, will beused to discuss their differences and to point out nuances in the wording of someprobability problems that yield different answers when both distributions are used. Lastly,a teaching tool for explaining central limit theorem is discussed based on guessingweights of books. This guessing game proves useful to explain sampling distribution.1. IntroductionAlthough it has been argued since 1960s [1] that probability and statistics is as importantas calculus as a mathematical foundation for engineering students who have to cope withuncertainty and variability in their professional careers, majority of engineering programsin North America have one course for both probability and
Calculus pro-grams across the United States the MAA concluded that the Calculus student’s attitude to-wards mathematics is critical since this can impact career choices. They found that on aver-age, student attitudes toward mathematics declined from beginning to end of their first collegeCalculus course and that the students’ confidence in their mathematical abilities dropped al-most a half of a point on a six-point scale. Even “enjoyment and desire to persist in studyingmathematics also changed in the negative direction from beginning of term to end of term[1].” If we can find out more about students’ perception of their own academic capabilitiesand what influences their attitudes towards mathematics, maybe we can help more students tofinish
these students more options in their academic career. Page 12.1324.10Because of the success we have had with the Fast Track Calculus program, we believethat it may be a program that other engineering schools may wish to try. Thus, theengineering schools could help their entering students, who have taken a high schoolcalculus course, more easily obtain their academic goals. Page 12.1324.11
research and practice," Journal of College Reading and Learning, vol. 37, no. 1, pp. 73-87, 2006.[7] J. Ferrari, "Mentors in life and at school: Impact on undergraduate protege perceptions of university mission abd values," Mentoring and Tutoring, vol. 12, no. 3, pp. 295-307, 2004.[8] M. McLean, "Does the curriculum matter in peer mentoring? From mentee to mentor in problem-based learning: A unique case study," Mentoring and Tutoring, vol. 12, no. 2, pp. 173-188, 2004.[9] B. Packard, "Student training promotes mentoring awareness and action," Career Development Quaterly, vol. 51, pp. 335-345, 2003.[10] S. Vaidya, "Improving teaching and learning through peer coaching.," Theory and Literature Review, vol. 115, no. 2, pp. 241-246
. Page 24.112.1 c American Society for Engineering Education, 2014 A Study of Pre-Algebra Learning in the Context of a Computer Game-Making CourseIntroductionIn this paper, we report on the results of the first implementation of GameMath!, a new pre-algebra learning curriculum based on game development, or game-making. The curriculum is theresult of a National Science Foundation Creative IT grant to explore novel ways to teachstandards- based content and 21st century skills to underperforming high school students in LosAngeles. The project’s goals are to address retention, career education and secondarymathematics learning. Game development is being used to engage students and to
US middle school students towards math. The survey found that “72% of US middleschool students spend more than three hours each day outside of school in front of a TV, mobilephone or computer screen rather than doing homework or other academic-related activities. Bycontrast, just 10% of students spend the same amount of time on their homework each day with67% spending less than one hour on their math homework.” It continued revealing that “whilemost middle school students believe that math is important to their futures, they fail tounderstand the connection between the subject and potential careers.” [3] To address this issue, a group of faculty members with multidisciplinary background haveinvestigated the teaching of the traditional math
by students).In the course we are using a computer algebra system (Maple) instead of standard numericalsoftware (e.g. MATLAB16) even if the students will learn to solve engineering problems withnumerical software packages in their future academic/professional career. However, at this earlystage of their academic education we are emphasizing the mathematical comprehension whichcan be supported in an ideal way by a computer algebra system instead of numerical software.We decided to use the commercial computer algebra system Maple instead of open sourcesoftware like Maxima17. Maple has a very convenient graphical interface (see figure 5) andoffers the possibility to create interactive worksheets. This gives the possibility to concentrate
incalculus forces college students to leave engineering or keeps them from choosing amathematics-related career. Third, the faculty outside mathematics usually complains thatstudents are ill-prepared to apply learned skills and concepts to solve practical problems.Reform effort in calculus curriculum aims to restructure content and develop tools to fixaforementioned pessimistic situations. We will briefly review calculus reform projects, thenfollow with a report on the PLEASE project.A brief review of calculus reformRooted in its rigorous development in history, traditional instruction in calculus is conductedin logical order in which proving theorems and propositions deductively, based upondefinitions and lemmas, plays a critical role; and working
math foundation for their science andengineering careers. A summary of courses impacted, samples of the math learning modules, andstudent feedback are discussed.BackgroundMathematics serves as the foundation of all STEM (Science, Technology, Engineering, andMathematics) programs. However, the weak mathematical knowledge base and prolongedpreparation for mathematics readiness force many STEM students to either drop out or turn awayfrom their STEM tracks. Many students have to repeat some of the required mathematics coursesseveral times in order to pass them, especially for those admitted with relatively low SAT scores.This has serious and negative impact on the enrollment in the STEM programs and hurts theoverall graduation rate. The problem is
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
described in this paper is an attempt in this direction by streamlining and optimizingthe symbiotic educational relationship between mathematics and engineering.II. Mathematics in a Crowded CurriculumAn engineering curriculum must support its degree program objectives, satisfy all accreditationrequirements, and ensure successful professional engineering careers for its graduates. In order tosatisfy these conditions, engineering schools have established curricula that include sets ofcourses in each of the four categories illustrated in Figure 2. Page 15.883.3 Figure 2. Components of a modern curriculumThis diagram illustrates the existing overlap between the four main components of a
their future careers.13 References1. Eusgeld, I., Freiling, F.C., and Reussner, R. (1998).Dependability Metrics (Advanced Lectures). New York. Springer.2. James, B. (2007). The Bill James Handbook. Skokie, Il. ACTA Sports3. Klubeck, Martin. (2011).Metrics: How to Improve Key Business Results. New York. Apress.4. Simpson, T.W., Poplinski, P.N., Koch, P. N. and Allen, J. K. (2001. Metamodels for Computer-based Engineering Design Survey and Recommendations. Engineering with Computers. 17 (2) 129-150.5. Ebert, C., Dumke, R., Bundschuh, M. and Schmietendorf, A. (1998). Best Practices in Software Measurement (How to use Metrics to Improve Project and Process Performance). New York. Springer.6. Antonsson, E. K
collaboration was extended to include peer observations from contentspecific teachers outside their campus using a non-directive approach to observations [25].AMP! focuses on in-service 8th and 9th grade teachers while the goal of having them inspire,motivate, and encourage students. The impact of training teachers is amplified, as one teacherover a ten-year career can interact with thousands of students. Excellent teachers have studentswho perform better on tests, are more likely to attend college, enter jobs with higher salaries, aswell as have fewer social problems [26,27]. Among the multitude of school factors, teacherquality is the most influential in student outcomes extending beyond their academic years[28,29]. Yet, despite their vital
interest in pursuing in college and as a career. But there is adichotomy - mathematics is a precise science, and any problem solving engineering paradigmprovides an optimal (or near optimal) solution. Anyone with an engineering perspective learns toappreciate this and continue to combine the two skills advantageously. However, not all studentssignificantly develop this skill when learning math in their curriculum as they may not see theconnection between the theoretical concepts in the subject and the practical problems associatedwith STEM fields. This lack of a connection could negatively affect the students’ performanceand interest in STEM. Our initial focus was to develop the robot as a tool for problem solving 1-3.We also made sure that it is
competence effects among early career teachers in Germany,” Eur. J. Teach. Educ., 2020, doi: 10.1080/02619768.2020.1809650.[5] Sabaruddin, Marzuki, and Khairunnisak, “Pandemic Covid-19: The Opportunities and Challenges to Using ICT in Mathematics Learning,” IJEBD Int. J. Entrep. Bus. Dev. eISSN 2597-4785 pISSN 2597-4750, 2020.[6] J. Naidoo, “Postgraduate mathematics education students’ experiences of using digital platforms for learning within the COVID-19 pandemic era,” Pythagoras, 2020, doi: 10.4102/PYTHAGORAS.V41I1.568.[7] R. Cassibba, D. Ferrarello, M. F. Mammana, P. Musso, M. Pennisi, and E. Taranto, “Teaching mathematics at distance: A challenge for universities,” Educ. Sci., 2021, doi
engineering courses [14][15][16], 2) Toincrease student engagement by introducing more active-learning elements in the classroom[17],and more importantly 3) To increase students’ retention of knowledge so that they are betterprepared to move forward for their advanced courses and their engineering career [18].How were students selected?Students were eligible to take the course if they had obtained approved college credit for SingleVariable Calculus II or if they had scored 5 on the Advanced Placement Calculus BC exam. Infall 2016, 26 first-year students were self-enrolled in this class.How were common gaps identified?During the early development of the course, we surveyed our Calculus instructors and certaintopics were identified as the common gaps
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
in Engineering Division, the Educational Research and Methods Division, and the Design in Engineering Education Division. She is also a member of the Society of Women Engineers (SWE) and is the Faculty Adviser for SWE at VT. c American Society for Engineering Education, 2018 Developing a Coding Rubric for Students Visualization StrategiesAbstractThere are many calls for increasing the number and diversity of students pursuing STEM careers.Equally important is retaining those students who initially express interest in these careers. Oneof the myriad of factors that influences students’ success in a STEM major is their spatialvisualization ability. Fortunately, research has shown that spatial ability
Paper ID #11518Advanced Undergraduate Engineering MathematicsDr. Michael P. Hennessey, University of St. Thomas Michael P. Hennessey (Mike) joined the full-time faculty as an assistant professor in the fall of 2000. Mike gained 10 years of industrial and academic laboratory experience at 3M, FMC, and the University of Minnesota prior to embarking on an academic career at Rochester Institute of Technology (3 years) and Minnesota State University, Mankato (2 years). He has taught over 20 courses in mechanical engineering at the undergraduate and graduate level, advised 11 MSME graduates, and has written (or co-written) 45