Paper ID #14461Evaluation of Engineering & Mathematics Majors’ Riemann Integral Defini-tion Knowledge by Using APOS TheoryDr. Emre Tokgoz, Quinnipiac University Emre Tokgoz is currently an Assistant Professor of Industrial Engineering at Quinnipiac University. He completed a Ph.D. in Mathematics and a Ph.D. in Industrial and Systems Engineering at the University of Oklahoma. His pedagogical research interest includes technology and calculus education of STEM majors. He worked on an IRB approved pedagogical study to observe undergraduate and graduate mathe- matics and engineering students’ calculus and technology
of Tintin. London: Methuen Children's, 1992.Print.[6] Kelley, W. The Complete Idiot's Guide to Calculus, 2nd Edition. S.l.: DK, 2006. Print.[7] Pickover, Clifford A. Calculus and Pizza: A Cookbook for the Hungry Mind. Hoboken, NJ:John Wiley, 2003.[8] Averbach, Bonnie, and Orin Chein.Problem Solving through Recreational Mathematics.Mineola, N.Y.: Dover Publications, 2000.[9] Azad, Kalid. Math, Better Explained, 2014.[10] Fernandez, Oscar E. Everyday Calculus: Discovering the Hidden Math All around Us.Princeton: Princeton UP, 2014.[11] Tom Apostol, A Visual Approach to Calculus Problems, ENGINEERING & SCIENCE NO.3, 2000 http://www.mamikon.com/VisualCalc.pdf[12] www.mamikon.com[13] D. Raviv, P. Reyes and J. Baker, “A Comprehensive Step-by
scientific oral presentationMethodsConcept maps organize information graphically. They were first developed and used as apedagogical tool in biology by Stewart et al. [2]. In developing a concept map, a student writesdown terms that come to mind as the result of a prompt and connects them with directionalarrows and text describing the nature of the connections. If the concept maps are to be used toassess or evaluate student learning, the instructor must decide not only how to construct theassignment prompt but also how to evaluate the map. Per [1], in engineering education, conceptmaps have been used to assess knowledge integration across an engineering program [3],conceptual understanding in a engineering
Paper ID #7658Using projects in mathematics and engineering mathematics courses designedto stimulate learningDr. Hassan Moore, University of Alabama, Birmingham Years with the University of Alabama at Birmingham (UAB): 5 Current Position(s): • Assistant Professor, Mechanical Engineering • Director of Outreach, School of Engineering Current Job Responsibilities: Dr. Moore’s primary interest is in the area of engineering education, par- ticularly in developing project-based learning tools in Differential Equations and Multivariable Calculus. Dr. Moore has created and developed a new course in the School of Engineering
puta lot of effort in reducing the dropout rate of part-time engineering students, particularly focusingon dropout that occurs during the freshmen year. With this objective in mind and knowing that thestudents’ experience with the first calculus course is an important variable that may lead a studentto abandon his career plan, we decided to implement active learning methodologies [6] to teachthat course to part-time students. As [7] states, active learning methodologies may directlyinfluence social integration and indirectly affect the student’s dropout decision.In this paper, we introduce what we call Guided-Lecture Team Based Learning (GL-TBL), whichis a learning methodology whose core relies on the well-known Team Based Learning (TBL
Paper ID #31217Elements of Good Problem-Solving Tasks in Thinking ClassroomsMr. Nathaniel Rossi, Arizona State University Nathaniel Rossi is an undergraduate student studying for a B.S in Mechanical Engineering Systems at Arizona State University.Dr. Adam R Carberry, Arizona State University Dr. Adam Carberry is an associate professor at Arizona State University in the Fulton Schools of Engi- neering Polytechnic School. He earned a B.S. in Materials Science Engineering from Alfred University, and received his M.S. and Ph.D., both from Tufts University, in Chemistry and Engineering Education respectively. His research
to apply, manystudents still viewed their mathematics classes favorably for the mental training they provided,which these students perceived as preparation for the logical, structured nature of engineering.As Ben (Year 2) said, “It's not necessarily to learn the math, like the material. It’s more to, like,train your mind to think a certain way.” Despite doubting that all topics seen in theirmathematics courses would be relevant to their future careers, a few students essentially equatedengineering and mathematics. As Connor (Year 3) put it, “You can’t do engineering withoutmath.… Engineering is math. It’s just math with meaning behind the numbers…. It’s a way ofgiving an explanation of how things work in the world.”Students who had no
Paper ID #29726Qualitative and Quantitative Analysis of University Students’ Ability toRelate Calculus Knowledge to Function GraphsDr. Emre Tokgoz, Quinnipiac University Emre Tokgoz is currently the Director and an Assistant Professor of Industrial Engineering at Quinnipiac University. He completed a Ph.D. in Mathematics and another Ph.D. in Industrial and Systems Engineer- ing at the University of Oklahoma. His pedagogical research interest includes technology and calculus education of STEM majors. He worked on several IRB approved pedagogical studies to observe under- graduate and graduate mathematics and engineering
Paper ID #21999Developing a Coding Rubric for Students’ Spatial Visualization StrategiesMrs. Adetoun Oludara Yeaman, Virginia Polytechnic Institute and State University Adetoun Yeaman is a second year PhD student in Engineering Education at Virginia Polytechnic Institute and State University (Virginia Tech). She received here MS in Mechanical and Nuclear Engineering and her BS in Biomedical Engineering both from Virginia Commonwealth University. She is currently a Graduate Research Assistant. In her first year, she taught two semesters of a freshman engineering course series, Foundations of Engineering. Her research
AC 2012-4052: DESIGNING FOR IMPROVED SUCCESS IN FIRST-YEARMATHEMATICSProf. Helen M. Doerr, Syracuse University Professor of mathematics and mathematics educationDr. Andria Costello Staniec, Syracuse University Andria Costello Staniec is an Associate Professor in civil and environmental engineering at Syracuse University (SU). Since 2010, she has served as the Associate Dean for Student Affairs in the LC Smith College of Engineering and Computer Science at SU. As Associate Dean, Costello Staniec has focused on student success both through the development of structured retention programs and through one-on-one interventions with students.Mrs. AnnMarie H. O’Neil
Engineering students see their signals (voltages and current functions oftime) on oscilloscopes. Civil and mechanical engineering students visualize in their minds,loading, shear and moment diagrams in order to predict deflections. Freebody diagrams areessential to the solution of statics problems. It is wrong to deny engineering students theadvantages of visualizing math functions in their math courses. But the Dirichlet function andthe other “monstrous” functions that scared the 19th century mathematicians cannot bevisualized. Limit the first course in calculus to the piece-wise continuous and monotonicfunctions that the engineering students need and are able to visualize. Let us concede it isunsound to teach everything all at once and let these
Society for Engineering Education, 2006 Integrating Applications in the Technion Calculus Course: A Supplementary Instruction ExperimentIntroductionScience and Engineering students in the course of their academic studies and further carrierscontinue applying calculus as their professional tool. In higher education, the ability to applymathematics has been recognized as one of the main learning outcomes required fromgraduates of the engineering programs1. The mission of mathematics education is more thanto impart the knowledge of mathematical rules, theorems and procedures, but to develop theability to put mathematical knowledge and skills to functional use in a multitude of contexts2.Applications and modeling are a
”, Grossman, New York, 1973.4 Vygotsky,L., “Mind in Society: The Development of Higher Psychological Processes”, Harvard University Press, MA, 1978.5 Starrett,S., Morcos,M., “Hands-On, Minds-On Electric Power Education”, Journal of Engineering Education, Vol 90, No. 1, pp93-100, January 20016 Felder,R., Peretti,S., “A Learning Theory-Based Approach to the Undergraduate Laboratory”, ASEE Conference Proceedings, Session 2413 , June 19987 Pavelich,M.J., “Integrating Piaget’s Principles of Intellectual Growth into the Engineering Classroom”, Proceedings of the ASEE Annual Conference, pp719-722, 1984, Wash, DC8 Dale,E., “Audio-Visual Methods in Teaching”, 3rd Edition, Holt, Rinehart, and Winston, 19699 Wolkson,A
-Centered Activities for Large-Enrollment University Physics (SCALE- UP)." Presented at the Sigma Xi Forum: "Reshaping Undergraduate Science and Page 14.781.6 Engineering Education: Tools for Better Learning", Minneapolis, MN (unpublished).2. Reba, M., and B. Weaver. (2007)"Tablet PC-Enabled Active Learning in Mathematics: A First Study." In Proceedings of the International Workshop on Pen-Based Learning Technologies (IEEE), 10-16.3. Bransford, J. D., and A. L. Brown. (1999). How People Learn: Brain, Mind, Experience, and School. National Academy of Sciences Press.4. Meyers, C., and T. B. Jones. (1993). Promoting Active
of Calculus.Dr. Eliud Quintero, Tecnologico de Monterrey (ITESM) PhD in Innovative Education by the Monterrey Institute of Technology and Higher Education (ITESM). Degree in Mathematics by UANL, in Monterrey, Mexico. Interested in research areas such as educational technology for the learning of mathematics, teaching - learning of calculus, visualization, analysis of multimodal production of signs.Prof. Pablo Guillermo Ramirez, Tecnologico de Monterrey Professor of Electrical Engineering department, Engineering School at Tecnologico de Monterrey, Mon- terrey Campus. His research and development areas are: Virtual and Augmented Reality, Physical In- terfaces and Electronic Systems, Human Computer Interaction
Paper ID #6112Developing Mathematical Intuition by Building Estimation SkillsDr. Rebecca Bourn, Tribeca Flashpoint Media Arts Academy Dr. Bourn designed the math curriculum for the Core Studies Program at the Tribeca Flashpoint Media Arts Academy. She received her PhD in Applied Mathematics from the University of Virginia School of Engineering and Applied Science.Dr. Sarah C. Baxter, University of South Carolina Professor Baxter is an Associate Professor in the Department of Mechanical Engineering at the University of South Carolina. She received her PhD in Applied Mathematics from the University of Virginia School of
Paper ID #33061Analysis of STEM Students’ Ability to Respond to Algebra, Derivative,and Limit Questions for Graphing a FunctionDr. Emre Tokgoz, Quinnipiac University Emre Tokgoz is currently the Director and an Associate Professor of Industrial Engineering at Quinnipiac University. He completed a Ph.D. in Mathematics and another Ph.D. in Industrial and Systems Engineer- ing at the University of Oklahoma. His pedagogical research interest includes technology and calculus education of STEM majors. He worked on several IRB approved pedagogical studies to observe under- graduate and graduate STEM students’ calculus and
AC 2010-1675: USING CONSTRUCTIVIST TEACHING STRATEGIES INPROBABILITY AND STATISTICSKingsley Reeves, University of South FloridaBill Blank, University of South FloridaVictor Hernandez-Gantes, University of South FloridaManiphone Dickerson, University of South Florida Page 15.1322.1© American Society for Engineering Education, 2010 Using Constructivist Teaching Strategies in Probability and StatisticsAbstractThis paper discusses the early results of an NSF EEC project that focuses on the impact of usingconstructivist approaches to teaching probability and statistics for engineers. Twelve exerciseswere developed and used in a modified version of the course to promote student
, Hidalgo, Willacy, 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, Rio Grande Valley 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
ForwardThe introductory course at Texas Tech University provides leveling in basic engineeringmathematics because freshmen who enrolled in engineering have varying proficiency inmathematics among themselves. With that in mind, instructors should be wary about assumingstudents’ prior knowledge in mathematics because the latter may be learning the material for thefirst time.Given that many instructors provide short assessments in the form of quizzes to evaluatestudents’ understanding about a prior topic that was taught, quiz questions on mathematicsshould be designed to tease out misconceptions that students may have. By teasing out somecommon misconceptions, a deeper discussion can take place to explain and clarify students’fundamental errors. These
Paper ID #33066Undergraduate STEM Students’ Comprehension of Function Series andRelated Calculus ConceptsDr. Emre Tokgoz, Quinnipiac University Emre Tokgoz is currently the Director and an Associate Professor of Industrial Engineering at Quinnipiac University. He completed a Ph.D. in Mathematics and another Ph.D. in Industrial and Systems Engineer- ing at the University of Oklahoma. His pedagogical research interest includes technology and calculus education of STEM majors. He worked on several IRB approved pedagogical studies to observe under- graduate and graduate mathematics and engineering students’ calculus and
Natural Sciences" and director of the MuLF Center (Multimedia Center for "New Media in Education and Research") at Berlin University of Technology (TU Berlin). Starting in 2001, her Berlin group has been a driving force behind the development of multimedia technologies at the university, implementing multimedia educational elements in the education of undergraduate students, in particular for engineering students. In May 2007, Sabina Jeschke has taken over a full professorship for "Information Technology Services" at the University of Stuttgart and is also acting as scientific and executive director (CEO) of the "Center of Information Technologies" of the University of Stuttgart
Paper ID #12661STEM Majors’ Cognitive Calculus Ability to Sketch a Function GraphDr. Emre Tokgoz, Quinnipiac University Emre Tokgoz is currently an Assistant Professor of Industrial Engineering at Quinnipiac University. He completed a Ph.D. in Mathematics and a Ph.D. in Industrial and Systems Engineering at the University of Oklahoma. His pedagogical research interest includes technology and calculus education of STEM majors. He worked on an IRB approved pedagogical study to observe undergraduate and graduate mathe- matics and engineering students’ calculus and technology knowledge in 2011. His other research interests
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
these examples, bearing in mind the initial differences in their programmingproficiency. Their use was still found stimulating.Rationale for the study – The context of mathematics in engineering educationDesigning engineering education with mathematics and physics in the first two years of theprogram is not a law of nature. 4 It can hardly be argued that abstract mathematics is taught in theinitial stages of programs for pedagogical reasons. Rather, such a design reflects a Tayloristicview of industrial production transferred to education where context-free bits and pieces aredispensed by specialists to be assembled to a coherent whole in the end. 5 Most engineeringteachers claim that they need to build on a ”solid” mathematics and science base
AC 2011-36: STRENGTHENING THE STEM PIPELINE THROUGH ANINTENSIVE REVIEW PROGRAM FOR MATH PLACEMENT TESTINGAmelito G Enriquez, Canada College Amelito Enriquez is a professor of engineering and mathematics at Canada College. He received his PhD in Mechanical Engineering from the University of California, Irvine. His research interests include technology-enhanced instruction and increasing the representation of female, minority and other under- represented groups in mathematics, science and engineering. Page 22.1328.1 c American Society for Engineering Education, 2011 Strengthening
AC 2012-2983: ANALYSIS OF THE IMPACT OF FORMAL PEER-LEDSTUDY GROUPS ON FIRST-YEAR STUDENT MATH PERFORMANCEDr. John R. Reisel, University of Wisconsin, Milwaukee John R. Reisel is an Associate Professor of mechanical engineering at the University of Wisconsin, Mil- waukee (UWM.) He serves as Associate Director of the Center for Alternative Fuels, and Co-director of the Energy Conversion Efficiency Lab. In addition to research into engineering education, his research ef- forts focus on combustion and energy utilization. Reisel was a 2005 recipient of the UWM Distinguished Undergraduate Teaching Award, the 2000 UWM-College of Engineering and Applied Science Outstand- ing Teaching Award, and a 1998 recipient of the SAE
. http://hti.math.uh.edu/curriculum/units/2008/04/08.04.04.pdf20 Lord, Mary. Up Close: No Mind Left Behind. An engineer seeks to inspire a new generation. PRISM Magazine, ASEE. March 2010. P25.21 Thompson, Denise R, University of South Florida, Senk, Sharon I. Michigan State University. The Effects of Curriculum on Achievement in Second-Year Algebra: The example of the University of Chicago School Mathematics Project. Journal for Research and Mathematics Education. 2001, Vol. 32, No. 1, 58-84.22 Heuvel, Cor van den, Tamura, Namae. Baseball Haiku W. W. Norton & Company. p 723 Aboufadel, Edward. A Mathematician Catches a Baseball , The American Mathematical Monthly, Vol. 103, No. 10 (Dec., 1996), pp. 870-878
Paper ID #14462STEM Majors’ Ability to Relate Integral and Area ConceptsDr. Emre Tokgoz, Quinnipiac University Emre Tokgoz is currently an Assistant Professor of Industrial Engineering at Quinnipiac University. He completed a Ph.D. in Mathematics and a Ph.D. in Industrial and Systems Engineering at the University of Oklahoma. His pedagogical research interest includes technology and calculus education of STEM majors. He worked on an IRB approved pedagogical study to observe undergraduate and graduate mathe- matics and engineering students’ calculus and technology knowledge in 2011. His other research interests include
Paper ID #25091Board 95: STEM Majors’ Ability to Calculate Taylor Series’ Derivative &IntegralDr. Emre Tokgoz, Quinnipiac University Emre Tokgoz is currently the Director and an Assistant Professor of Industrial Engineering at Quinnipiac University. He completed a Ph.D. in Mathematics and another Ph.D. in Industrial and Systems Engineer- ing at the University of Oklahoma. His pedagogical research interest includes technology and calculus education of STEM majors. He worked on several IRB approved pedagogical studies to observe under- graduate and graduate mathematics and engineering students’ calculus and technology