hisexperiences over the course of many years.3.1 Case Studies- In this section, results of a number of case studies related to the courses taughtduring the past two years are presented. Because each one typically entails support for more thanone of the hypotheses to be proposed in the next subsection, it was felt that by presenting thesestudies prior to the hypotheses, the reader might more naturally see how the hypotheses werearrived at.Case 1: Sets & Subsets- Let S be a set, or collection of two objects; specifically, S={ (0,1) ,(1,1)}, where the object (x,y) denotes the location of a point in the x-y plane. Define the subsetsA={(0,1)} and B={(1,1)}. Describe the set C A B , where the symbol denotes„intersection‟; that is, the objects that
y B 3m xThe three questions from the alpha version that were investigated further were changed on thebeta version. For example, after further review of the actual homework and exam questions,projection and integrals using trigonometry substitution were removed from the beta instrumentas they had not been specific topics asked of the students. Question #4, which involvedderivatives using chain rule, was adjusted slightly. A variable was added, and the new questionis shown in Figure 5. Even with the adjustment, students overwhelming still answered thequestion correctly.Figure 5. Revised Question on Derivative Using Chain Rule from Beta
. To speedthe courseware developing, we adopted 3DIVA Virtools software which provides a developmentplatform for quickly constructing virtual classroom and creating 3D virtual reality applications.2. Learning Module DevelopmentAll our learning modules are created based on real life or engineering problems. Generally, eachmodule consists of two components: (a) lecturing/tutoring; (b) exercise and quiz. Thelecturing/tutoring part is implemented as a virtual scene, in which the math topic is illustrated oranimated in 3D graphics. Audio is integrated to emulate tutor explanation. Students can interact Page 22.612.4with the objects in the virtual
) 9 1 11% 56 20 36% Hispanic 10 9 90% 11 7 64% Minority (A, B, I) 1 1 100% 7 4 57% Other (Missing/Unknown, NRA) 3 3 100% 4 2 50% Age <=25 20 12 60% 62 25 40% >25 3 2 67% 16 8 50% Start of Spring 2009 Term: Earned Credits Sum 556
AC 2011-842: A PRELIMINARY INVESTIGATION OF USING WRITINGAS A CRITICAL THINKING TOOLN. Jean Hodges, VCUQatar Since Fall 2004, N. Jean Hodges has been an Assistant Professor of Writing at Virginia Commonwealth University Qatar (VCUQatar) in Doha, Qatar. She earned her degrees in North Carolina: a Master of Science in Technical Communication from North Carolina State University and a Bachelor of Arts in Business Administration, magna cum laude, from Queens College (now Queens University). Her work experiences in legal, medical, executive, and academic positions and her business training have informed her understanding of writing in the workplace and in different fields. Her interdisciplinary Master’s pro- gram
content focus? a. linear, quadratic, polynomial functions b. logarithmic and exponential functions c. Trigonometric functions 3. What do students believe about the effectiveness of learning resources and approaches? a. Textbook b. Computer based or on line homework c. Use of learning aids for on line homework d. Required attendance 4. What do students think are effective success strategies? a. Required attendance b. Summer prep course c. Problem solving session in place of an hour of lectureOur motivation in examining the questions in Table 1 is to improve the performance of ourstudents in this important gateway course. Ultimately, we hope to impact the broader
AC 2011-51: EVALUATION OF THE IMPACTS OF MATH COURSE PLACE-MENT IMPROVEMENT ACHIEVED THROUGH A SUMMER BRIDGEPROGRAMJohn R. Reisel, University of Wisconsin - Milwaukee John R. Reisel is an Associate Professor of Mechanical Engineering at the University of Wisconsin- Milwaukee (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 efforts focus on combustion and energy utilization. Dr. Reisel was a 2005 recipient of the UWM Dis- tinguished Undergraduate Teaching Award, the 2000 UWM-College of Engineering and Applied Science Outstanding Teaching Award, and a 1998 recipient of
AC 2011-103: A LONGITUDINAL STUDY ON STUDENTS’ DEVELOP-MENT AND TRANSFER OF THE CONCEPT OF INTEGRATIONAndrew G Bennett, Kansas State University Andrew Bennett received his Ph.D. in mathematics from Princeton University in 1985 and has been on the faculty at Kansas State University since 1988 where he is Director of the Center for Quantitative Education.Todd MooreXuan Hien Nguyen, Kansas State University Xuan Hien Nguyen is currently a post doctoral fellow at Kansas State University. Her research interests are in partial differential equations and mathematics education. Page 22.56.1 c
to better contextualize and integrate the core mathematicalconcepts. Lastly, the assessment plan will be modified so that the quizzes are more fair, throughadditional supervision, and transparent so that they can aid in their learning as opposed to strictlyacting as a summative assessment.Bibliography1. Kukreti, A., Klingbeil, N. , Mercer, R., Rattan, K., Raymer, M. , Reynolds, D., and Randolph, B., “A National Model for Engineering Mathematics Education,” Proceedings 2007 ASEE Annual Conference & Exposition, Honolulu, HI, June 2007.2. Schneider, L., “Integrating Engineering Applications into First-Year Calculus in Active, Collaborative, Problem-Solving Sections”, Presented at ASEE Engineering Teaching and Learning
studentawareness of tools, skills and resources needed to succeed in college, pre- and post-programstudent surveys were administered. Table 6 summarizes student responses to the pre- and post-program surveys. Statistically significant improvements were observed in the following areas:student rating of their math study skills, student rating of confidence in math, and studentperceived supportive relationships with other students, and tutors. The improvement in studentperception of effectiveness in time management, and the increase in their interest in studyingSTEM are not statistically significant. Appendix B shows a summary of student comments. Pre- Post- DifferenceQuestion
in 1981. He is an assis- tant professor in Fundamental General Education Center, National Chin-Yi University of Technology.P. C. Lin, Fundamental General Education Center of National Chin-Yi University of Technology, TaiwanR.O.C.Ruey-Maw Chen, National Chinyi University of Technology Ruey-Maw Chen, he was born at Tainan, Taiwan, R.O.C. He received the B. S., the M. S. and the PhD degree in engineering science from National Cheng Kung University of Taiwan R.O.C. in 1983, 1985 and 2000, respectively. From 1985 to 1994 he was a senior engineer on avionics system design at Chung Shan Institute of Science and Technology (CSIST). Since 1994, he is a technical staff at Chinyi Institute of Technology. Since 2002, he has been
). Standard Handbook for Electrical Engineers, 11th Edition. New York. McGraw-Hill. 7. Hamilton, C. L. and Reid, M. S. (2002). Toward a Mathematical Model of Solar Radiation for Engineering Analysis of Solar Energy Systems. JPL Deep Space Network Progress Report. 42-34, 147-151. 8. Heizlar P. and Davis C. (2004) Performance of the Lead-Alloy-Cooled Reactor Concept Balanced for Actinide Burning and Electricity Production. Nuclear Technology. 147 (3), 344-367. 9. Jevremovic, T. (2009). Nuclear Principles in Engineering. 2nd Edition. New York. Springer. 10. Blanchard, B. S. and Fabrycky, W. J. (1998). Systems Engineering and Analysis, third edition. Upper Saddle River, N. J. Prentice Hall
-9260-8-2, July 2008.[14] Hanselman, D. and Littlefield, B., Mastering MATLAB 7TM, Pearson Prentice Hall, Upper Saddle River, NJ, 2004.[15] Larken, M., Yavari, Britanico, 2006.[16] Dabney, J. B. and Harman, T. L., Mastering SIMULINKTM, Pearson Prentice Hall, Upper Saddle River, NJ, 2003.[17] Armstrong, M. A., Groups and Symmetry, Springer-Verlag, 1988.[18] Schwarzenberger, R. L. E., “The 17 plane symmetry groups,” Mathematical Gazette, V 58, 1974.[19] Shakiban C. and Olver, P., Applied Linear Algebra, Prentice Hall, ISBN: 978-013-14738-2-9, 2005.[20] Editorial Piki, Machu Picchu: Sacred City, Marvel of the World, ISBN: 978-612-45470-1-0, 2009
graded by the instructor. The bookprovides both conceptual and numerical problems but the solutions of many problemsrequire longer time than the duration of the class session which is 1 hr and 20 minutes.Therefore, the instructor generally divides up the problems into smaller parts and usesthem in in-class quizzes. An example problem in a quiz is given below. A sample problem The temperature T is maintained at 0 C along three edges of a square plate of length 5 cm, and the fourth edge is maintained at 120 C until steady state conditions prevail. (a) Write down the governing PDE equation. (b) Write down the boundary conditions. (c) Find the solution for the temperature T at any point (x, y) in
AC 2011-279: EDGE DETECTORS IN IMAGE PROCESSINGJohn Schmeelk, Virginia Commonwealth University/Qatar Dr. John Schmeelk is a Professor of mathematics at Virginia Commonwealth University teaching mathe- matics at VCU/Qatar campus in Doha, Qatar. He received his PhD from George Washington University in Washington, D.C. He has been an invited speaker to conferences in Australia, Brazil, Bulgaria, Canada, China, Hungary, India, United Arab emmirate, Qatar and many other lands. Page 22.518.1 c American Society for Engineering Education, 2011 Edge Detectors in Image