Conference Session

Mathematics Division Technical Session 2

Collection

2015 ASEE Annual Conference & Exposition

Authors

Khalid El Gaidi, Royal Institute of Technology (KTH); Tomas Ekholm, Royal Institute of Technology (KTH)

Tagged Divisions

Mathematics

where affordances for conceptualunderstanding are designed into the course and not only left to the student to attain in future oncethey have reached mathematical maturity through procedural struggle.References [1] Pisa 2012 results in focus. http://www.oecd.org/pisa/keyfindings/pisa-2012-results-overview.pdf, 2012. [2] E. Bergqvist. Types of reasoning required in university exams in mathematics. Journal of Mathematical Behavior, 26(4):348–370, 2007. [3] B. S. Edwards and M.B. Ward. Surprises from mathematics education research: Students (mis) use of mathematical definitions. The Mathematical Association of America [Monthly 111], 2004. [4] P. Winkelman. Perceptions of mathematics in engineering. European Journal of Engineering

Conference Session

Integrating Mathematics, Science, and Engineering

Collection

2007 Annual Conference & Exposition

Authors

Günter Bischof, Joanneum University of Applied Sciences, Department of Automotive Engineering,; Emilia Bratschitsch, Joanneum University of Applied Sciences, Department of Automotive; Annette Casey, Joanneum University of Applied Sciences, Department of Automotive Engineering,; Domagoj Rubesa, Joanneum University of Applied Sciences, Department of Automotive Engineering,

Tagged Divisions

Mathematics

condensed matter. Positrons can be obtained from β+-decayof radioactive isotopes or from nuclear reactions. For the investigation of the electronicstructure of defects in solids they are implanted into the sample and move through themedium until they reach thermal equilibrium. As the antimatter counterpart to the electron,the positron remains only a short time (10-10 s) in the sample before annihilating with anelectron under emission of annihilation gamma rays that escape the system without anyinteraction. The spectrum of these gamma quanta holds information about the electronicenvironment around the annihilation site 9. The principle of the method lies in the analysis ofthe positron annihilation line shape, which directly corresponds to the

Conference Session

Innovative Instruction Strategies

Collection

2006 Annual Conference & Exposition

Authors

John Schmeelk, Virginia Commonwealth University

Tagged Divisions

Mathematics

Intelligence, 22, (1984), 235-267. 3. Ballard, D. H. & Brown, C.M., Computer Vision, Prentice Hall, N.J., (1982). 4. Batchelor, B.G., Pattern Recognition, Plenum Press, N.Y., (1978). 5. Campbell, F.W., & Robson, J.G., Application of Fourier Analysis to the Visibility of Gratings, J. Physiol. 197, (1968), 551-566. 6. Gonzalez, R.C., & Wintz, P., Digital Image Processing, Addison-Wesley Publ. Co., MA. (1987). 7. Jain, A., K., Fundamentals of Digital Image Processing, Prentice Hall, NJ, (1989) 8. Lim, J., S., Two-Dimensional Signal and Image Processing, Prentice Hall, NJ, (1990). 9. Nagy, G., State of the Art in Pattern Recognition, Proc. IEEE, 56, (1968), 836-862. 10. Pedrycz, W., Fuzzy Sets in Pattern

Conference Session

Students' Abilities and Attitudes

Collection

2011 ASEE Annual Conference & Exposition

Authors

John R. Reisel, University of Wisconsin - Milwaukee; Leah Rineck; Marissa Jablonski, University of Wisconsin, Milwaukee; Ethan V Munson, University of Wisconsin, Milwaukee; Hossein Hosseini, University of Wisconsin, Milwaukee

Tagged Divisions

Mathematics

Policy (COSEPUP), 2007.3. Bochis, C., Hsia, S., Johnson, P., Boykin, K., Wood, S., Bowen, L, and Whitaker, K. “Integrated EngineeringMath-Based Summer Bridge Program for Student Retention”, Proceedings of the 2007 American Society forEngineering Education Annual Conference & Exposition.4. Fletcher, S. L., Newell, D.C., Newton, L.D., and Anderson-Rowland, M. “The WISE Summer Bridge Program:Assessing Student Attrition, Retention, and Program Effectiveness”, Proceedings of the American Society forEngineering Education Annual Conference & Exposition, 2001.5. Varde, K. S. “Effects of Pre-Freshman Program for Minority Students in Engineering”, Proceedings of the 2004American Society for Engineering Education Annual Conference & Exposition

Conference Session

Mathematics Division Technical Session 3

Collection

2021 ASEE Virtual Annual Conference Content Access

Authors

Salvador Mayoral, California State University, Fullerton; Antoinette Sherrise Linton, California State University, Fullerton; Hassan Yousefi, California State University, Fullerton; Jidong Huang, California State University, Fullerton

Tagged Divisions

Mathematics

all project staff,student assistants and peer mentors, and the project evaluator: Arroyo Research Services for theircontributions to this research.References1. A. Carpi, D.M. Ronan, H. M. Falconer, H. H. Boyd, and N. H. Lents, “Development and Implementation of Targeted STEM Retention Strategies at a Hispanic-Serving Institution,” Journal of Hispanic Higher Education, vol. 12(3), pp. 280–299, May 2013.2. K. Coulombe and W.R. Gil, “The Changing U. S. Workforce: The Growing Hispanic Demographic and Workplace.” A report prepared by the Society for Human Resource Management (SHRM) and the Congressional Hispanic Caucus Institute, September 2016.3. E. R. Hollins, “Rethinking Field Experiences in Preservice Teacher Preparation’” 2015

Conference Session

Mathematics Division Technical Session 3

Collection

2019 ASEE Annual Conference & Exposition

Authors

Daniel Raviv, Florida Atlantic University

Tagged Divisions

Mathematics

from the pole, the ratio between the “height of the person” (L) to the“height of the pole” (h) is the same as the “distance from the person to the far edge of theshadow” (s-x) to the “distance from the pole to the edge of the shadow” (s):𝐿 𝑠−𝑥 = 𝑠ℎor ℎ𝑠 = ℎ−𝐿 𝑥Clearly,𝑑𝑠 ℎ =𝑑𝑥 ℎ−𝐿Also, since the walking speed of the person is 𝑑𝑥 𝑣= 𝑑𝑡we can find the change in the shadow with respect to time using the Chain Rule:𝑑𝑠 𝑑𝑠 𝑑𝑥 ℎ = 𝑑𝑥 𝑑𝑡 = ℎ−𝐿 𝑣𝑑𝑡Pendulum period (Refer to Figure 9) Figure 9: Finding pendulum period The

Conference Session

Bridging and Freshman Programs

Collection

2008 Annual Conference & Exposition

Authors

Christopher Papadopoulos; John Reisel, University of Wisconsin - Milwaukee

Tagged Divisions

Mathematics

Society for Engineering Education Annual Conference & Exposition. [Pennsylvania State University]10. Varde, Keshav S. “Effects of Pre-Freshman Program for Minority Students in Engineering”, Proceedings of the 2004 American Society for Engineering Education Annual Conference & Exposition. [University of Michigan-Dearborn]11. White, Carl, Myra W. Curtis, and Clifton S. Martin. “Pre-Freshman Accelerated Curriculum in Engineering (PACE) Summer Bridge Program”, Proceedings of the 2001 American Society for Engineering Education Annual Conference & Exposition. [Morgan State University]12. Office of Engineering Student Services, University of Wisconsin-Milwaukee, 2007.13. Ohland, Matthew W. and Elizabeth R. Crockett

Conference Session

Innovative Instructional Strategies

Collection

2008 Annual Conference & Exposition

Authors

Sabina Jeschke, University of Stuttgart; Akiko Kato, Technische Universitaet Berlin; Olivier Pfeiffer, Technische Universitaet Berlin; Erhard Zorn, Technische Universitaet Berlin

Tagged Divisions

Mathematics

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

Conference Session

Mathematics: Recruitment and Retention

Collection

2009 Annual Conference & Exposition

Authors

Michael Georgiopoulos, University of Central Florida; Cynthia Young, University of Central Florida; Cherie Geiger, University of Central Florida; Scott Hagen, University of Central Florida; Chris Parkinson, University of Central Florida; Alison Morrison-Shetlar, University of Central Florida; Tace Crouse, University of Central Florida; Paula Krist, University of Central Florida; Pat Lancey, University of Central Florida; Melissa Dagley-Falls, University of Central Florida; Pat Ramsey, University of Central Florida; Dahlia Forde, University of Central Florida; Anna Koufakou, University of Central Florida

Tagged Divisions

Mathematics

an Associate Editor of the IEEE Transactions on Neural Networks from 2002 to 2006 and he is currently serving as an Associate Editor of the Neural Networks journal. He has served as the General Chair of the S+SSPR 2008 Workshops, a satellite event of ICPR 2008.Cynthia Young, University of Central Florida Cynthia Young received her B.A. in Mathematics Education from the University of North Carolina, and her M.S. in Electrical Engineering and Ph.D. in Applied Mathematics from the University of Washington. She is currently a Professor of Mathematics at the University of Central Florida. She is the recipient of an Office of Naval Research Young Investigator Award and is a Fellow of

Conference Session

Use of Technology in Teaching Mathematics

Collection

2006 Annual Conference & Exposition

Authors

Peter Avitabile, University of Massachusetts-Lowell; Jeffrey Hodgkins, University of Massachusetts-Lowell; Tracy Van Zandt, University of Massachusetts-Lowell

Tagged Divisions

Mathematics

”, 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

Conference Session

Mathematics Division Technical Session 3

Collection

2017 ASEE Annual Conference & Exposition

Authors

Bailey Braaten, The Ohio State University; Arnulfo Perez, The Ohio State University

Tagged Divisions

Mathematics

of engage with ambiguous task or data. (“I’m not sure where this fits exactly, situations/stimuli as valuable but that’s okay”; “The data will never be opportunities for discovery of that which perfect.”) s/he does not yet know (“I like how open this is”). Learner may reframe ambiguous situations or stimuli but does not impose a solution or explanation prematurely. Learner considers

Conference Session

First-Year Programs Division - Visualization and Mathematics

Collection

2018 ASEE Annual Conference & Exposition

Authors

Jaskirat Sodhi, New Jersey Institute of Technology; Ashish Borgaonkar, New Jersey Institute of Technology; Edwin Hou, New Jersey Institute of Technology; Moshe Kam P.E., New Jersey Institute of Technology

Tagged Divisions

First-Year Programs, Mathematics

further suggestions and recommendations.References[1] Borgaonkar, A., Hou, E., Vandermark, S., Kam, M., 2015, “Engineering Math Summer Boot Camp to help Students Succeed in Remedial Courses,” Proceedings 2015 7th First Year Engineering Experience Conference, Roanoke, VA, August 3-4, 2015.[2] Borgaonkar, A., Sodhi J. S., Hou, E.,Baldwin R,, Kam, M., 2017, “Helping First Year Students Start on Track in the Mathematics Sequence,” Proceedings 2017 9th First Year Engineering Experience Conference, Daytona Beach, FL, August 6-8, 2017.[3] Klingbeil, N., Rattan, K., Raymer, M., Reynolds, D., Mercer, R., Kukreti, A. and Randolph, B., 2008, “The WSU Model for Engineering Mathematics Education: A Multiyear Assessment and Expansion to

Conference Session

Mathematics Division Technical Session 2

Collection

2015 ASEE Annual Conference & Exposition

Authors

Patricia Salinas, Tecnologico de Monterrey (ITESM); Eliud Quintero, Tecnologico de Monterrey (ITESM); Pablo Guillermo Ramirez, Tecnologico de Monterrey (ITESM); Eduardo González Mendívil, Tecnologico de Monterrey (ITESM)

Tagged Divisions

Mathematics

perception. Yin, Song, Tabata, Ogataand Hwang11 have developed a framework of Participatory Simulation for Mobile Learningusing Scaffolding. We find in their approach the opportunity to explore the new learning eventsthat are arising with the use of digital technology in Mathematics Education. Page 26.792.11References 1. Salinas, P., González-Mendívil, E., Quintero, E., Ríos, H., Ramírez, H., & Morales, S. (2013). The development of a didactic prototype for the learning of mathematics through augmented reality. Procedia Computer Science, 25(81), 62–70. doi:10.1016/j.procs.2013.11.008 2. Salinas, P., Quintero, E., & González

Conference Session

Mathematics Division Technical Session 4

Collection

2015 ASEE Annual Conference & Exposition

Authors

Judith A Komar, Colorado Technical University; Tonya Troka, Colorado Technical University

Tagged Divisions

Mathematics

, participants in the Conference to Improve College algebra, held at the U. S. MilitaryAcademy, 5 indicated that traditional college algebra courses are not working because they aretaught using outdated content. The conclusions from the conference also indicated that collegealgebra has high D, F, and W rates. The concerns regarding college algebra nationwide arefurther compounded by the fact that college algebra is one of the largest enrollment courses inthe United States. According to the most recent Conference Board of Mathematical Sciences(CBMS) survey conducted in the fall of 2010, college algebra has the largest course enrollmentof all the introductory math courses.6 There is a nationwide call to improve the results in collegealgebra. CTU has

Conference Session

Mathematics Division Technical Session 4

Collection

2015 ASEE Annual Conference & Exposition

Authors

Virgil U. Pierce, University of Texas, Pan American; Javier Angel Kypuros, University of Texas, Pan American

Tagged Topics

Diversity

Tagged Divisions

Mathematics

bridge program was1.8 on a 4.0 scale, compared with a 1.55 from the general Calculus 1 classes. However thechance that a random sample of 16 students from Calculus 1 had a GPA of 1.8 or higher is 26%,so again we cannot conclude that this change was statistically significant.Figure 3 shows the grade in Calculus 1 in Fall 2014 for students who successfully completed thesummer bridge program versus the time they spent on task in the summer program. Again wefind little to no correlation, however it is interesting that there is a cluster of “B”s at the upperend of the time scale. Figure 4 shows the grade in Calculus 1 in Fall 2014 for students who

Conference Session

Mathematics Division Technical Session 2

Collection

2016 ASEE Annual Conference & Exposition

Authors

Gustavo Moran, Clemson University; Lisa Benson, Clemson University

Tagged Topics

Diversity

Tagged Divisions

Mathematics

. NAE Grand Challenges for Engineering. (2015). at 3. Lent, R. W., Lopez, F. G. & Bieschke, K. J. Mathematics self-efficacy: Sources and relation to science- based career choice. Journal of Counseling Psychology. 38, 424–430 (1991).4. Hackett, G. Role of mathematics self-efficacy in the choice of math-related majors of college women and men: A path analysis. Journal of Counseling Psycholy. 32, 47–56 (1985).5. Lent, R. W., Brown, S. D. & Hackett, G. Toward a unifying social cognitive theory of career and academic interest, choice, and performance. Journal Vocational Behavior. 45, 79–122 (1994).6. Richardson, F. C. & Suinn, R. M. The Mathematics Anxiety Rating Scale : Psychometric Data. Journal of

Conference Session

Mathematics Division Technical Session 4: Assessing Success in Mathematics Education

Collection

2020 ASEE Virtual Annual Conference Content Access

Authors

Rebecca Ann George, University of Houston; Weihua Fan, University of Houston; Daijiazi Tang, University of Houston

Tagged Topics

Diversity

Tagged Divisions

Mathematics

–554, 2013. [8] A. Ayebo and A. Mrutu, “An exploration of calculus students’ beliefs about mathematics,” International Electronic Journal of Mathematics Education, vol. 14, no. 2, pp. 385–392, 2019. [9] R. E. Wood and E. A. Locke, “The relation of self-efficacy and grade goals to academic performance,” Educational and psychological measurement, vol. 47, no. 4, pp. 1013–1024, 1987.[10] IBM Corp., “IBM SPSS statistics for windows, version 26.0. armonk: IBM corp.” 2019.[11] J. E. Parsons, T. Adler, R. Futterman, S. Goff, C. Kaczala, J. Meece, and C. Midgley, “Expectancies, values, and academic behaviors,” Achievement and achievement motives, pp. 75–146, 1983.[12] J. S. Eccles and A. Wigfield, “Motivational beliefs, values, and

Conference Session

Integrating Mathematics, Science, and Engineering

Collection

2007 Annual Conference & Exposition

Authors

Shane Palmquist, Western Kentucky University

Tagged Divisions

Mathematics

m (x) from statics due to P = 1 m (x) couple, m (x)Virtual moment, m(x) m(x) from statics due to P = 1 m(x)Slope angle, (x) L Mm s (x) (x) = Ð EI dx due to P = 1 0Deflection, y(x) L Mm

Conference Session

Mathematics Division Technical Session 3

Collection

2013 ASEE Annual Conference & Exposition

Authors

Kathleen A Harper, The Ohio State University; Gregory Richard Baker, Ohio State University; Deborah M. Grzybowski, The Ohio State University

Tagged Divisions

Mathematics

Paper ID #6988First Steps in Strengthening the Connections Between Mathematics and En-gineeringDr. Kathleen A Harper, The Ohio State University Kathleen A. Harper is a faculty lecturer in the Engineering Education Innovation Center at The Ohio State University. She received her M. S. in physics and B. S. in electrical engineering and applied physics from Case Western Reserve University, and her Ph. D. in physics from The Ohio State University. She has been on the staff of Ohio State’s University Center for the Advancement of Teaching, in addition to teaching in both the physics department and college of engineering. Her

Conference Session

Mathematics Division Technical Session 3

Collection

2013 ASEE Annual Conference & Exposition

Authors

Ryan Boyd Cartwright, General Electric; Autar Kaw, University of South Florida; Ali Yalcin, University of South Florida

Tagged Divisions

Mathematics

Student Retention Study,” Journal of Engineering Education, Vol. 86, No. 1, 1997, pp. 7–16. 6. Y. Min, G. Zhang, R. Long, T. Anderson, M. Ohland, “Nonparametric Survival Analysis of the Loss Rate of Undergraduate Engineering Students”, Journal of Engineering Education, 100 (2), 349–373, 2011. 7. S. Habre and M. Abboud. “Students’ conceptual understanding of a function and its derivative in an experimental calculus course”, Journal of Mathematics Behavior, 25, 57–72, 2006. 8. J. Moore, “Undergraduate mathematics achievement in emerging ethnic engineers programme”, International Journal of Mathematical Education in Science and Technology”, 36(5), 529–537, 2005. 9. P.K. Subramaniam, M. Cates and G

Conference Session

Using Applications and Projects in Teaching Mathematics

Collection

2012 ASEE Annual Conference & Exposition

Authors

David I. Spang, Burlington County College; Kathleen Spang, Middlesex Boro High School

Tagged Divisions

Mathematics

College andMiddlesex Borough High School, both for providing a rich and innovative environment, with astrong focus on student outcomes and success.Bibliography1) http://www.nsf.gov/statistics/seind/2) http://www.bls.gov/oco3) J. Sinn, S. Walthour, and D. Haren, “Technology-Based Math and Science Applications”. The TechnologyTeacher, October 1995, p. 16-24.4) http://www.mos.org/eie/5) http://www.mos.org/educators/classroom_resources/curricula_and_research&d=20206) http://www.awim.org/7) http://www.mos.org/etf/8) D. Perin and R. Hare, Community College Research Center, CCRC Brief, June 2010.9) K. Spang, “Teaching Algebra Ideas to Elementary School Children: Robert B. Davis’ Introduction to EarlyAlgebra”, Doctoral Thesis, Rutgers University

Conference Session

Students' Abilities and Attitudes

Collection

2011 ASEE Annual Conference & Exposition

Authors

Andrew G Bennett, Kansas State University; Todd Moore; Xuan Hien Nguyen, Kansas State University

Tagged Divisions

Mathematics

] Breidenbach, D., Dubinsky, E., Hawks J., & Nichols, D. (1992). Development of the Process Conception ofFunction. Educational Studies in Mathematics, 23(3), (pp. 247-285)[5] Lobato, J. E. (2003). How design experiments can inform a rethinking of transfer and vice versa. EducationalResearcher, 32(1), (pp.17-20)[6] National Research Council, Committee on Developments in the Science of Learning (2000). Learning andtransfer. In J. D. Bransford, A. L. Brown, & R. R. Cocking (eds.), How people learn: Brain, mind, experience, andschool (Exp. Ed., pp. 51-78). Washington, DC: National Academy Press.[7] Reed, S. K. (1993). A schema-based theory of transfer. In D. K. Detterman & R. J. Sternberg (Eds.), Transfer ontrial: Intelligence, cognition and

Conference Session

Mathematics Division Technical Session 2

Collection

2015 ASEE Annual Conference & Exposition

Authors

Doug Bullock, Boise State University; Janet Callahan, Boise State University; Susan E. Shadle Ph.D., Boise State University

Tagged Divisions

Mathematics

andGeneral Statistics. Two instructors of Linear Algebra have already run a course using commonhomework. And the group that oversees our multi-section Scientific Computing course isconsidering a similar approach. If successful, these efforts would achieve full coordination of theentire suite of service courses across every STEM or related discipline.Acknowledgments The authors would like to acknowledge the assistance of Jude Garzolini in conducting the humansubjects study. This material is based upon work supported by the National Science Foundationunder Grant Nos. DUE-0856815 (Idaho STEP), DUE-0963659 (I^3), and DUE-1347830(WIDER). Any opinions, findings, and conclusions or recommendations expressed in thismaterial are those of the author(s) and do

Conference Session

Using Applications and Projects in Teaching Mathematics

Collection

2012 ASEE Annual Conference & Exposition

Authors

Julie Gainsburg, California State University, Northridge

Tagged Divisions

Mathematics

practice: Mind, mathematics, and culture in everyday life. New York: Cambridge University Press.14. de la Rocha, O. (1985). The reorganization of arithmetic practice in the kitchen. Anthropology and Education Quarterly, 16, 193-8.15. Scribner, S. (1984). Studying working intelligence. In B. Rogoff & J. Lave (Eds.), Everyday cognition: Its development in social context (pp. 9-40). Cambridge, MA: Harvard University Press.16. Bissell, C. & Dillon, C. (2000). Telling tales: Models, stories, and meanings. For the Learning of Mathematics, 20(3), 3-11.17. Kent, P., & Noss, R. (2002). The mathematical components of engineering expertise: The relationship between doing and understanding mathematics. Paper submitted to the

Conference Session

Mathematics: Recruitment and Retention

Collection

2009 Annual Conference & Exposition

Authors

Doug Bullock, Boise State University; Janet Callahan, Boise State University; Yuguang Ban, Boise State University; Alison Ahlgren, University of Illinois, Urbana-Champaign; Cheryl Schrader, Boise State University

Tagged Divisions

Mathematics

instructors fell into the category of “highly Page 14.1225.13experienced instructors.” When the responses of all surveyed instructors were included (15responses), the same trends were observed but to a slightly lower degree. One unsolicited remarkfrom an instructor indicated, “The main difference I noted was that I was missing the studentswho made 10’s, 20’s or 30’s (percents) on the first test. After that first test, I did not really seemuch difference in the students’ work. Many of my students scored 50 or above on ALEKS anddid poorly in the course. I see no relationship between their ALEKS score and their performancein Precalculus.” This remark

Conference Session

Mathematics Division Technical Session 3: Diversity in Mathematics Education

Collection

2020 ASEE Virtual Annual Conference Content Access

Authors

Kathleen Marie Fick, Methodist University; Denise H. Bauer, Methodist University

Tagged Divisions

Mathematics

Drop in College Readiness, Especially in Math,” The Wall Street Journal, October 17, 2018. [Online]. Available: https://www.wsj.com [Accessed October 17, 2018].[3] W. B. Armstrong, “The association among student success in courses, placement test scores, students background data, and instructor grading practices,” Community College Journal of Research & Practice, vol. 24, no. 8, 2000, pp. 681-695.[4] S. Fitchett, K. King, and J. Champion, “Outcomes of mathematics placement: An analysis of advising and enrollment data,” PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies, vol

Conference Session

Mathematics Division Technical Session 1

Collection

2018 ASEE Annual Conference & Exposition

Authors

Emre Tokgoz, Quinnipiac University

Tagged Divisions

Mathematics

). Construction of the vector space concept from the viewpoint of APOS theory, Linear Algebra Appl. 432 (8), 2112-2124.15. Piaget, J, & Garcia, R. (1989). Psychogenesis and the history of science (H. Feider, Trans.). New York: Columbia University Press. (Original work published 1983).16. Piaget, J., J.-B.Grize, A., Szeminska, & V.Bang (1977). Epistemology and psychology of functions (J. Castellano`s and V.Anderson:Trans.)17. Slavit, D. (1995). A growth-oriented route to the reification of function. In D. T. Owens, M. K. Reed, and G. M. Millsaps (Eds.), Proceedings of the seventeenth annual meeting of the North American Chapter of the international group for the psychology of mathematics education, 1, 284-290

Conference Session

Mathematics Division Technical Session 2

Collection

2018 ASEE Annual Conference & Exposition

Authors

Leszek Gawarecki, Kettering University; Yaomin Dong, Kettering University; Gina Rablau, Kettering

Tagged Divisions

Mathematics

calculate the Head Injury Criterion (HIC). The HIC number is based on theaverage value of time-dependent acceleration 𝑎(𝑡) experienced by the head of a person during animpact. The HIC associates different likelihoods of head injury to different ranges of values ofthe HIC number.In a car safety crash test, anthropomorphic test devices, or simply dummies are placed in thedriver’s and/or passenger’s seat(s). A demonstration video is available for students athttps://www.youtube.com/watch?v=kj9xqrRskrY.The HIC number is defined in equation (2) as follows, 1 𝑡 2.5 HIC = Max[(𝑡2 − 𝑡1 ) × (𝑎̅)2.5 ] = 𝑀𝑎𝑥 {(𝑡2 − 𝑡1 ) × [𝑡 2

Conference Session

Approaches to Mathematics Curriculum to Include Projects and Technologies

Collection

2014 ASEE Annual Conference & Exposition

Authors

Gunter Bischof, Joanneum University of Applied Sciences; Annette Casey B.A., University of Applied Sciences FH JOANNEUM, Graz, Austria; Emilia Andreeva-Moschen, Bombardier Transportation Austria GmbH

Tagged Divisions

Mathematics

heat transfer”, 2nd ed., PA: Taylor & Francis, 19975. F. H. Harlow and J. Eddie Welch, "Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface", Phys. Fluids (American Institute of Physics) 8 (12), pp. 2182-2189, 19656. S. V. Patankar, “Numerical heat transfer and fluid flow” Taylor & Francis, 19807. M. Griebel, T. Dornseifer, and T. Neunhoeffer, "Numerische Simulation in der Strömungsmechanik" (in German), Vieweg, 19958. R. Courant, K. Friedrichs, and H. Lewy, "On the partial difference equations of mathematical physics", IBM Journal of Research and Development 11 (2), pp. 215-234, March 1967 [Translation of "Über die partiellen Differenzengleichungen der mathematischen Physik

Conference Session

Engineering and Mathematics Potpourri

Collection

2009 Annual Conference & Exposition

Authors

Andrew Grossfield, Vaughn College of Aeronautics

Tagged Divisions

Mathematics

Equations of regions 8. Classic examples of visualizations and Euler’s constant 9. ConclusionAll the operations described in the paper can be verified easily by using a graphing utility. Theword curve will be used to mean the graphs of piece-wise differentiable functions includingstraight lines and also finitely multi-valued functions.1. IntroductionIn engineering colleges during the 1950’s, a student had to become acquainted with all kinds ofvisual constructs that were needed to solve problems of design. Oscilloscopes displayed voltagetime signals; spectrum analyzers displayed signal Fourier components and curve tracersdisplayed diode and transistor characteristics. In addition, students contemplated such wonderfulmathematical