Paper ID #6355Students Use Statistics to Justify Senior Project SelectionDr. Murray Teitell, DeVry University, Long Beach Murray Teitell is a Professor at DeVry University, Long Beach, California. He teaches courses in mathe- matics, science and technology. His research interests are algorithms, solutions of equations and statistics as they relate to education, engineering and design. He is Program Chair-Elect of the Mathematics Divi- sion of ASEE.Mr. William S. Sullivan, DeVry University, Long Beach Page
form 𝑦 = 𝑎 ∙ 𝑏 ! that could be used to describe thedata; (b) give an interpretation of the constants a and b in (a); (c) find the point in time when thevoltage across the capacitor was 0.05 V; (d) compute the average rate of change over threesubintervals, from t = 5 to t = 10 seconds, t = 20 to t = 25 seconds, and t = 40 to t = 45 secondsrespectively; and (e) write two or three sentences interpreting the negative average rate of changedata in (d). 2.0529 − 4.2245 t = 5 to t = 10 : = −0.43 v/s 10 − 5 .27252
the (b)curve. Figure 1: Unmanned Aerial Vehicles, such asThe plane can fly 15 miles of the spiral before it must return the one shown in (a), are playing anto refuel. increasing role in search and rescue. The desired search path is shown in (b).The distance travelled by the UAV for any given value ofis given as 1) Find the equation of the distance travelled by the UAV at any point . 2) What is the value of s when the plane has gone 15 miles? 3) Assuming the total range of the plane is 17.5 miles. Can the plane make it
, J., Calculus: Early Transcendentals, 6th edn., Belmont, CA: Thompson Brooks, 2008.2. “Toward a lean and lively calculus,” No. 6 in MAA Notes, Mathematical Association of America, Washington, DC: Mathematical Association of America, 1986.3. Schoenfeld, A. H., “A brief biography of calculus reform,” UME Trends: News and Reports on Undergraduate Mathematics Education, 6, no. 6, 1995, pp. 3–5.4. Boyce, W. E. & DiPrima, R. C., Elementary Differential Equations and Boundary Value Problems, 8th edn., New York: Wiley, 2009.5. Tall, D., Concept Image and Concept Definition, Utrecht, Netherlands: OW & OC, 1988, pp. 37–41.6. Vinner, S. & Dreyfus, T., “Images and definitions for the concept of function
actual course such asDynamics. Based on the results of the present paper, the authors concurred that continuousassessment and evaluation of engineering students on their math preparation throughout theirundergraduate study is essential. Therefore, more assessment and evaluation on higher mathtopics such as differential equations and statistics will be conducted in junior and senior levelengineering courses.Bibliography1. Fahmida, M. and Abulkhair, M., “Effect of Math Competency on Success in Engineering Science Courses,” Proceedings of 2011 ASEE Annual Conference and Exposition, June 2011, Vancouver, Canada.2. Wood, S., et al. “Integrated Engineering Math-Based Summer Bridge Program for Student Retention,” Proceedings of 2007 ASEE
problems; it isapplicable to a variety of mathematical levels, and in concept it is extremely accessible to thestudents.References[1] Dehaene, S. “Origins of Mathematical Intuitions: The Case of Arithmetic” The Year in Cognitive Neuroscience2009: Ann. N.Y. Acad. Sci. 1156: 232–259, 2009.[2] Halberda, J., Mazzocco, M.M.M. and Feigenson, L. “Individual differences in non-verbal number acuitycorrelate with maths achievement” Nature, 455|2 , 665-669, 2008.[3] Mlsna, P., McShane, J., Maynard, J. Lanzetta, M., Ismay, C. and Brown, S. “Mathematics Skills AssessmentAnd Training In Freshman Engineering Courses”, Proceedings of the 2008 American Society for EngineeringEducation Annual Conference and Exposition.[4] Mavrovouniotis, M.L. and Stephanopoulos, G
Journal for Technology in Mathematics Education, Vol. 14, No. 4, pp. 63-68 (2007). 2. R.M. Bennett, W. Schleter, T. Olson, and S. Guffey, ―Effects of an Early Homework Completion Bonus,‖ Proceedings, ASEE Annual Conference, San Antonio, TX (2012). 3. M.R. Boelkins and T.J. Pfaff, ―Teaching Calculus Students How to Study,‖ PRIMUS, Vol. 8 No. 3, pp. 253-264 (September 1998). 4. D. S. Brewer and K. Becker, ―Online Homework Effectiveness for Underprepared and Repeating College Algebra Students,‖ Journal of Computers in Mathematics and Science Teaching, Vol. 29, No. 4, pp. 351- 371 (October 2010). 5. K.J. Burch and Y. Kuo, ―Traditional vs. Online Homework in College Algebra,‖ Mathematics and
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
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
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problems of comprehension in a learning of mathematics. Educational Studies in Mathematics, 61, 103-131.3. Duval, R. (2006b). Un tema crucial en la educación matemática: La habilidad para cambiar el registro de representación. La Gaceta de la Real Sociedad Matemática Española, 9(1), 143-168.4. Duval, R. (2008). A crucial issue in mathematics education: The ability to change representation register. Regular Lecture. En Mogens Niss (Ed.), Proceedings of the 10 th International Congress on Mathematical Education (pp. 1-17). IMFUFA, Department of Science, Systems and Models, Roskilde University, Denmark.5. Moreno-Armella, L., Hegedus S. & Kaput, J. (2008). From static to dynamic mathematics: Historical and representational
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Learning Environment. Journal of Research on Technology in Education, 39(3), 229–2436. NSF (2000). National Science Foundation: The Interplay between Mathematics and Robotics. Arlington: National Science Foundation. Page 23.1050.167. Rogers, C., & Portsmore, M. (2004). Bringing engineering to elementary school. Journal of STEM Education, 5(3&4), 17–28.8. Papert, S. (1980). Mindstorms. New York. Basic Books.9. Brand, B., Collver, M., & Kasarda, M. (2008). Motivating Students with Robotics. The Science Teacher, 75(4), 44-9.10. Silk, E., Higashi, R., Shoop, R., & Schunn, C. (2010). Designing
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