Paper ID #16121Exploration of Hands-On/Minds-On Learning in an Active STEM OutreachProgramAimee Cloutier, Texas Tech University Aimee Cloutier is a Ph.D. student studying Mechanical Engineering at Texas Tech University. She earned her B.S. in Mechanical Engineering from Texas Tech in 2012. Her research interests include biomechan- ics, rehabilitation engineering, prosthetic limb design, and STEM education.Dr. Jerry Dwyer, George Washington University Dr. Jerry Dwyer is a professor in the Department of Mathematics and Director of the STEM Academy at George Washington University. He worked for many years in computational
Based Learning and Authentic Assessment in Digital Pedagogy: Embracing the Role of Collaborative Communities”. The Electronic Journal of e- Learning, 13(2), 68-83.Costa, A., & Kallick, B. (2008). Learning and Leading with Habits of Mind: 16 Essential Characteristics for Success. Alexandria: Association for Supervision & Curriculum Development.Harper, K., Baker, G. R., & Grzybowski, D. M. (2013). First Steps in Strengthening the Connections Between Mathematics and Engineering. PEER. Atlanta: American Society for Engineering Education.Holmegaard, H. T., Madsen, L. M., & Ulriksen, L. (2016). Where is the engineering I applied for? A longitudinal study of students’ transition into higher
engineering problem. Inthe process the student teams are engaged in the following activities (as given to students): Understand and/or clarify step-by-step (e.g. fill-in missing steps) how applied mathematics is used to model an engineering system of interest Page 26.161.7 Create appropriate and mathematically correct simulation models using MATLAB incorporating relevant parameters With specific scenarios in mind, perform MATLAB simulation runs, plot results, and create animations Prepare a technical report (with CD of all relevant computer files) and make a short presentation to the class (you can
. Engineers, whetherstudents or professionals, need to remember that problem solving involves understanding theentire process; a black box solver should never be trusted! It is shameful that students andgraduates alike pick up a calculator to work simple sums, products, and functions that theyshould be exercising their minds to determine. Calculators, spreadsheet templates, computerprograms, and other technological devices save a great deal of time. They aren’t bad -- they justshouldn’t be used blindly. Users need to understand the basis and limitations of any technologybefore relying on it.Within any STEM field, a skill that requires careful development is that of effectivelycommunicating solutions. In high school math and science courses, the work
Paper ID #14167Enriching Engineering Education with RelationsProf. Peter Goldsmith P.Eng., University of Calgary Peter Goldsmith is an Associate Professor in Mechanical Engineering at the University of Calgary. He holds a PhD in Mechanical Engineering from the University of Toronto. His research interests are in human-computer interfaces, control theory, robotics, mechanism analysis and design, applied and pure mathematics, and engineering education. Page 26.674.1 c American Society for
ASEE study, pinpoints a peculiar inconsistency in grasping thenature of the profession of engineering. Engineers are perceived as smart, wise, knowledgeableprofessionals who work with tangible objects to solve practical problems. In their work,engineers are engaged in a prolific intellectual activity that demands a great deal of self-imposeddiscipline and concentration. As a result, they are stereotyped as isolated abstract thinkers withprofound insights, often single-minded, awkward, weird and socially inept. In other words, theabstract thinking engineer is often perceived as a "nerd" or "geek", logically contradicting theimage of a practical engineer with "hands-on" ideas and the ultimate goal of designing, creating,and developing products
inspired the focus of her research and academic work: how we learnthe psychology of writing and creating. She has presented on this topic in professional meetings and academic venues. From 2005-2010 she collaborated with Dr. John Schmeelk on a five-year series of studies that revolutionized the teach- ing of Contemporary Mathematics at VCUQatar. Results from these studies have been presented in Abu Dhabi and Qatar, as well as at previous annual meetings of ASEE. Page 22.86.1 c American Society for Engineering Education, 2011 A PRELIMINARY INVESTIGATION OF USING WRITING AS A CRITICAL
Paper ID #23669Implementing the Wright State Model First-Year Engineering MathematicsCourse in a Startup School of EngineeringDr. Lynn A Albers, Campbell University Dr. Lynn Albers is an Assistant Professor in the newly formed School of Engineering at Campbell Uni- versity. A proponent of Hands-On Activities in the classroom and during out-of-school time programs, she believes that they complement any teaching style thereby reaching all learning styles. She earned her doctorate in Mechanical Engineering from North Carolina State University specializing in thermal sci- ences where her dissertation research spanned three
Paper ID #16610Engineering Calculus Bridge Program Success: Comparing Variation Re-sultsDr. Sandra Nite, Texas A&M University Sandra Nite, Ph.D., is a Research Scientist at Aggie STEM, Department of Teaching, Learning, & Culture and Senior Lecturer in Department of Mathematics at Texas A&M University, where she has taught 10 different courses in mathematics and mathematics education. She has served on several committees in the mathematics department, including course development for teacher education in mathematics. Her research agenda includes engineering calculus success, including high school preparation for
Paper ID #22362Video Tutorials in Mathematics Education for Engineering StudentsMs. Franziska Dorothea Wehner, Technische Universit¨at Darmstadt Franziska D. Wehner graduated from Heidelberg University with a M.Sc. in Psychology in 2014. She is currently a research associate in the Institute for Psychology at Technische Universit¨at Darmstadt. Her research interests focus on the evaluation and improvement of higher education. c American Society for Engineering Education, 2018 Video Tutorials in Mathematics Education for Engineering StudentsIntroductionEngineering
,” Journal for Research in Mathematics Education, 20, no. 4, 1989, pp. 356–366.7. National Research Council, How People Learn: Brain, Mind, Experience, and School, Washington, D.C.: National Academy Press, 2000.8. Cardella, M. E., “Which mathematics should we teach engineering students? an empirically grounded case for a broad notion of mathematical thinking,” Teaching Mathematics and its Applications, 27, no. 3, 2008, pp. 150–159.9. Christensen, O. R., “Closing the gap between formalism and application–pbl and mathematical skills in engineering,” Teaching Mathematics and its Applications, 27, no. 3, 2008, pp. 131–139.10. Mustoe, L., “Mathematics in engineering education,” European Journal of Engineering
-Based Science Teaching (MBST). In MBST, if thelearner has not been taught a process for identifying a problem and constructing a model-basedsolution for the problem, the ability to strategize approaches to problem-solving and predictoutcomes will be underdeveloped, as they will lack particular habits of mind of noticing patternsor a set of relationships between problems and their solutions. Linton provides a conciseoverview of the epistemic approach based on focused inquiry, directed observation, and guidedpractice for science learning [6].Focused inquiry is an investigation into a set of skills or processes needed to engage in scienceand engineering. The purpose of focused inquiry is to generate student questions about thecomponents of the
-exposed to the topics. This basic recollection, however,illuminated the lack of mathematical readiness to excel at the Precalculus level where basics arenot addressed and the content moves quickly to conceptual understanding with the need to applyone’s mathematical understanding.At Methodist University it was determined we required a solution that would 1) address theimpact of beginning the mathematics sequence in College Algebra on the Engineering Programand 2) address the need for a brief review of the basic mathematical concepts taught in CollegeAlgebra to be included in the beginning of more advanced courses. In researching possiblesolutions, we had to keep in mind the size, capabilities, and restrictions of our small institution.The
Paper ID #18537An Intervention in Engineering Mathematics: Flipping the Differential Equa-tions ClassroomCampbell Rightmyer Bego, University of Louisville Campbell Rightmyer Bego is currently pursuing a doctoral degree in Cognitive science at the University of Louisville. She is researching STEM learning, focusing on math learning and performance. She is particularly interested in interventions and teaching methods that alleviate working memory constraints. Ms. Bego is also working with the Speed School of Engineering as a graduate research assistant, helping to implement educational interventions and organize and
23.603.8fundamentals courses taken by all engineering freshmen, departmental courses, or mathematicscourses. To help make this determination, a similar survey is being developed and will soon beadministered to faculty of introductory mathematics courses at Ohio State. Exploring anymismatches in the perceptions and beliefs of the two groups of faculty is key to developing aneffective intervention.1 Bransford, J. D., Brown, A. L. & Cocking, R. R. ,ed, How People Learn: Brain, Mind, Experience, and School(National Academy of Science, 1999).2 Bassok, M. & Holyoak, K. J., “Interdomain Transfer Between Isomorphic Topics in Algebra and Physics,” Journalof Experimental Psychology: Learning, Memory, and Cognition 15, 1, 153-166 (1989).3 Bassok, M., “Transfer
AC 2010-770: ASSESSING ENGINEERING STUDENTS’ ABILITY TO USE THEMATHEMATICS THEY HAVE LEARNEDMaria Terrell, Cornell University Math Dept.Robert Terrell, Cornell UniversityLisa Schneider, Cornell University Page 15.201.1© American Society for Engineering Education, 2010 Assessing Engineering Students’ Ability to Use the Mathematics They Have LearnedAbstractA Mathematics Applications Inventory (MAI) is being developed by engineering andmathematics faculty at Cornell University to assess students’ ability to apply the mathematicsthey learn in freshman calculus to engineering-related problems. This paper reports on threeaspects of this work
2006-3: ENHANCING INTERDISCIPLINARY INTERACTIONS IN THECOLLEGE OF ENGINEERING AND NATURAL SCIENCESBryan Tapp, University of Tulsa Bryan Tapp is an Associate Professor and Chair of the Department of Geosciences at The University of Tulsa. His interests include strain measure, deformation mechanisms in rock, and the application of numerical methods in modeling rock deformation.Donna Farrior, University of Tulsa Donna Farrior is an Applied Assistant Professor of Mathematics and Associate Chair of Mathematics in the Department of Mathematical and Computer Sciences at The University of Tulsa.Jerry McCoy, University of Tulsa Jerome McCoy is an Applied Assistant Professor in the Department of
AC 2010-1846: WHO NEEDS ANOTHER APPLIED MATHEMATICS COURSE?John Heublein, Kansas State University, SalinaKenneth Barnard, Kansas State University, Salina Page 15.1373.1© American Society for Engineering Education, 2010 Who Needs Another Applied Mathematics Course?ABSTRACTAviation mathematics has been used for years and hence is not a new topic for discussion. In thedigital-age and with millennial students it is time to revisit the methods of pedagogy. Becausestudents have always had different learning styles this paper outlines an instructional approachthat addresses the declining mathematical skill level of the entering freshman students. Ourhypothesis states
: Brain, Mind, Experience, and School, Washington D.C.: National Academy Press, 2000. Online at www.nap.edu/books/0309070368/html.6. Felder and Brent (Felder, R.M., and R. Brent, “The Intellectual Development of Science and Engineering Students. 1. Models and Challenges,” Journal of Engineering Education, Vol. 93, No. 4, 2004, www.ncsu.edu/felder-public/Paper/IntDev-II.pdf).7. Light, RJ. The Harvard Assessment Seminars, First Report, Harvard University, Cambridge Massachusetts 02138, 1990.8. Senge , P.M., The Fifth Discipline, The Art & Practice of the Learning Organization, Currency Doubleday. P10, 1990.9. Kolb, D.A., Experiential Learning: Experience as the Source of Learning and Development, Englewood Cliffs, New Jersey
AC 2009-943: MATH TOOLS FOR ENGINEERING: A NEW APPROACH TOTEACHING CALCULUS III AND DIFFERENTIAL EQUATIONSHassan Moore, University of Alabama, BirminghamGregg Janowski, University of Alabama, BirminghamMelinda Lalor, University of Alabama, Birmingham Page 14.865.1© American Society for Engineering Education, 2009MATH TOOLS FOR ENGINEERING: A NEW APPROACH TOTEACHING CALCULUS III AND DIFFERENTIAL EQUATIONSAbstractDuring the fall of 2008 at the University of Alabama at Birmingham, a new course (EGR/MA265 – Mathematical Tools for Engineering Problem Solving) was offered in a joint effort by theSchool of Engineering and the Department of Mathematics combining differential equations
books1, which were more likely to contain pictures and bedescriptive, to gain mathematical insight. I do not believe that my fellow math majorsconfronted the questions that were in my mind as an engineer. By the 1990’s more teachingmathematicians were willing to promote graphics and the calculus reform movement came intofashion with slogans such as, “lean and lively” and “pump not a filter.”Perhaps the rigor that was conventionally required of mathematics majors is not appropriate forengineering students. I am suggesting that math teachers consider replacing class time spent ondelta-epsilon arguments with visual thinking. Page 14.1354.3This paper
; Tensor Qrtly, Acta Applicande Mathematicae, J. Computational and Applied Mathematics, Advances in Modelling and Simulation, Int. J. Engineering Simulation, Neural, Parallel and Scientific Computations, Nonlinear Analysis, Computers and Mathematics with Applications, Mathematical and Computer Modelling, Int. J. Innovative Computing, Information and Control, J. Computational Methods in Sciences and Engineering, and Computers & Mathematics with Applications. Besides, he has coauthored seven books including the most recent one entitled “Computational Error and Complexity in Science and Engineering (with V. Lakshmikantham), Elsevier, Amsterdam, 2005. He had also authored
AC 2012-3053: AN ANALYSIS OF THE EFFECTIVENESS OF USING EX-CLUSIVELY WORKSHOP-STYLE INSTRUCTION IN THE COLLEGEALGEBRA CLASSROOM, FOCUSED ON ENGINEERING AND ENGI-NEERING TECHNOLOGY UNDERGRADUATESDr. Jennifer Vandenbussche, Southern Polytechnic State University Jennifer Vandenbussche is an Assistant Professor of Mathematics at Southern Polytechnic State Univer- sity. In addition to her research in the scholarship of teaching and learning, she does mathematics research in in the area of combinatorics, especially extremal graph theory. Her primary interest lies in coloring and matching problems in graphs. She received her Ph.D. in Mathematics from the University of Illinois at Urbana-Champaign.Dr. Christina R. Scherrer
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
Department of Mathematics.References 1. B. Obama, State of the Union Address, January 25, 2011, retrieved January 4, 2013, from http://www.whitehouse.gov/state-of-the-union-2011. 2. National Research Council. “Rising above the gathering storm: Energizing and employing”, 2007. 3. D. Reich, “Why Engineering Majors Change Their Minds”, http://www.forbes.com/sites/danreich/2011/11/09/why-engineering-majors-change-their-minds/2/, Forbes Magazine, November 9, 2011. 4. A.W. Astin and H.S. Astin, “Undergraduate Science Education: The Impact of Different College Environments on the Educational Pipeline in the Sciences”, Los Angeles, Cal.: HERI UCLA, 1993. 5. C. Moller-Wong and A. Eide, “An Engineering
Paper ID #16670Using the Engineering Design Process to Complement the Teaching and Learn-ing of MathematicsDr. Aaron Brakoniecki, Boston University Dr. Aaron Brakoniecki is a Lecturer at Boston University. His research focuses on preservice teachers’ uses of technology (specifically, the Internet) to support their learning of mathematics. He is also involved with the Noyce BEST project at BU, which focuses on training engineers to become mathematics teachers in high needs classrooms.Mr. Michael Ward, Boston University Michael Ward is currently entering his senior year of Mechanical Engineering while simultaneously earn
Paper ID #25316Using More Frequent and Formative Assessment When Replicating the WrightState Model for Engineering Mathematics EducationDr. Leroy L. Long III, Embry-Riddle Aeronautical University Dr. Leroy L. Long III is an Assistant Professor of Engineering Fundamentals at Embry-Riddle Aeronau- tical University in Daytona Beach, FL. He earned his PhD in STEM Education with a focus on Engineer- ing Education within the Department of Teaching and Learning at The Ohio State University (OSU). He earned his Master’s in Mechanical Engineering at OSU and his Bachelors in Mechanical Engineering at Wright State University. Dr
Paper ID #29406Calculus Readiness and Retention Rates for Homeschooled Students in aFour Year Engineering ProgramDr. Danielle Marie Fredette, Cedarville University Danielle Fredette received her Ph.D. degree from The Ohio State University’s College of Engineering (Columbus, OH) in 2017, her M.S. also from The Ohio State Univeristy in 2016, and her B.S.E.E. from Cedarville University (Cedarville, OH) in 2012, during which time she participated in research as an intern at the Air Force Institute of Technology at Wright Patterson Air Force Base, OH, in the Radar Instrumentation Lab. While researching for her Ph.D, she was a
fullinteraction and full material use in mind, the combination of some online interaction with peers,visualization tools, and quizzes along with constant online access to course material and progressgenerally worked well for specific courses under study [7].Thus, although VLEs are relatively new, there are advantages to using them to increase studentinteraction and learning with mathematics.DiscussionAll three forms of technology discussed above, the graphing calculator, programming software,and VLEs have been shown to have both advantages and disadvantages for teachingundergraduate engineering mathematics. In studies from the referenced journal articles, studentsseem to identify similar positive uses of the technology. These include the ability to graph
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