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
, New Jersey, and Faculty Research Scientist and Associate Director of the Robert B. Davis Institute for Learning of the Graduate School of Education in New Brunswick. Page 15.647.1© American Society for Engineering Education, 2010 How and What Mathematical Content is Taught and Used by Engineering Students in their Final Course Project?AbstractThe purpose of this research was to investigate the transition from academic mathematicsto real-life, engineering situations. In particular, through a case study, we investigatewhat mathematics content Brazilian undergraduate engineering students at privateuniversity use
± standarddeviation (sample size). Cadets were asked to rank their response on a scale from 1 to 5,with 1 being the least favorable response and 5 being most favorable. Page 11.589.9Instructor / Question Instructor’s test Instructor’s standard hour hours A / 9a1 82.4 ± 39.3 (17) 55.6 ± 50.2 (54) B / 9a1 35.3 ± 49.3 (17) 23.6 ± 42.9 (55) C / 9a1 100.0 ± 0.0 (19) 100.0 ± 0.0 (20) A / 9b2 82.4 ± 39.3 (17) 70.4 ± 46.1 (54) B / 9b2 29.4 ± 47.0 (17) 29.1 ± 45.8 (55
" (in German), Mathematische Annalen 100 (1), pp. 32- 74, 1928]9. J. von Neumann, "Theory of self-reproducing automata", edited by A. W. Burks, University of Illinois Press, Urbana, 196610. S. Ulam, "Some ideas and prospects in biomathematics", Ann. Rev. Bio. 12, pp. 255-257, 197411. S. Wolfram, “Statistical mechanics of cellular automata”, Rev. Mod. Phys. 55 (3), pp. 601-644, 1983 Page 24.904.1412. J. Hardy, Y. Pomeau, and O. de Pazzis, "Time evolution of a two-dimensional model system: Invariant states and time correlation functions", J. Math. Phys. 14, pp. 1746-1759, 197313. U. Frisch, B. Hasslacher, and Y. Pomeau
style and brain hemisphericpreferences (see Appendices A and B for test copies). The tests were given shortly afterintroducing the course and its project-directed concept, and the results were discussed with thestudents, who also received handouts of Linksman’s characterizations for each of the learningstyles and brain hemispheric preferences to use as they studied the math concepts throughout thecourse. Among the conclusions of this study were that students’ documented superlinks did notconfirm the assumptions made in the first study, thus identifying the necessity for testingstudents’ preferences; sample projects proved helpful; and more research was needed.The third study extended the second study in three primary ways: ≠ it continued
Excellent 'A' 2 77 – 89 Good 'B' 3 64 – 76 Satisfactory 'C' 4 51 – 63 Sufficient 'D' 5 0 – 50 Insufficient Failing grade 'E/F'The correlations between Engineering Mathematics grades and the final grades in EngineeringMechanics and other mathematically-oriented courses are illustrated in Figures 9 to 11. Thesedata were obtained from more than ten classes of the four-year degree program.Figure 9: Engineering Mathematics grades versus Engineering Mechanics grades for therespective semestersThe highest correlation coefficient was obtained for the case when both
become the engineers that expand theboundary of human knowledge. They look beyond the equations.Bibliography[1] P. Wankat and F. Oreovicz, Teaching Engineering, New York: McGraw-Hill, 1993.[2] R. E. Park, "A Memorandum on Rote Learning," American Journal of Sociology, vol. 42, no. 1, pp. 23-26, 1937.[3] B. N. Geisinger and D. R. Raman, "Why They Leave: Understanding Student Attrition from Engineering Majors," International Journal of Engineering Education, vol. 29, no. 4, pp. 914-925, 2013.[4] W. Zimmerman and S. Cunningham, "Editor's Introduction: What is Mathematical Visualization," Visualization in Teaching and Learning Mathematics, MAA, pp. 1-7, 1991.[5] F. Beer, E. R. J. Johnston, D. Mazurek, P. J. Cornwell and B. P. Self
answered the indefinite integral survey question correct by using the exponentialfunction, he/she decided to solve the definite integral version of the same question. He/she madea mistake on the definite integral version of the question that she introduces by putting bounds onthe indefinite integral (which wasn’t a part of the research) and didn’t realize that the upper andlower bounds a and b applied to the indefinite integral on the left hand side of the equality shouldalso be applied to the ∑ term on the right hand side of the equality. !Figure 5. Response of Participant 6 to the integral of the series question.This participant corrected the definite integral answer during the
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
. Remembering back to 6.2: If the domain of f is D and the range is R, what is the (a) domain and the (b) range of f -1 ? 4. Use the previous question to find the domain and the range of f(x)=log2 x. 5. What is the inverse of f(x)=ex? 6. What base is implied in f(x)=log x? 7. Draw a quick sketch of f(x)=log2 x. Label at least 3 key points. What are the intercepts? 8. Draw a quick sketch of f(x)=log1/2 x. Label at least 3 key points. What are the intercepts? Page 25.150.14Appendix 2 – Sample Worksheet Page 25.150.15Page 25.150.16 Appendix 3 Pre
the past fiveyears?Which engineering disciplines are being pursued by students who take your classes?What programming languages do you personally use for your work or research?What programming languages do you use in your classes, either as a requirement or as a demonstration?Which, if any, mathematical modeling software do you personally use for your work or research?Which, if any, mathematical modeling software do you use in your classes, either as a requirement or as ademonstration?What languages and software do you feel are most crucial for engineering students' industrypreparedness?Other thoughts about mathematical and computational tool learning for (engineering) students?Appendix B: Student Survey InstrumentWhat is your academic major
the geosynchronous satellites from earth’s surface? Have the students write down their ideas and reasons for their beliefs. 3. Present the problem to be solved. a. Explain: Period, orbital period, and rotational period with the help of students acting as satellites around you, the teacher. Then explain that geosynchronous satellites are satellites whose orbital period around the Earth matches Earth’s rotational period. b. Ask: Why doesn't a geosynchronous satellite drift off into space? Or why doesn't it crash into the earth? Help them understand about forces especially gravitational and centripetal forces and then show what happens when the
Counseling Psycholy. 19, 551–554 (1972).7. Pajares, F. Exploratory factor analysis of the Mathematics Anxiety Scale. Measurement and Evaluation in Counseling and Development. 29, 35–47 (1996).8. Hoffman, B. ‘I think I can, but I’m afraid to try’: The role of self-efficacy beliefs and mathematics anxiety in mathematics problem-solving efficiency. Learning and Individual Differences. 20, 276–283 (2010).9. Suinn, R. & Winston, E. The mathematics anxiety rating scale, a brief version: Psychometric data. Psychological Reports. 92, 167–173 (2003).10. Sherman, J. & Fennema, E. The Study of Mathematics By High School Girls and Boys: Related Variables. American Educational Research Journal. 14, 159–168 (1977).11. Betz
Bullock is Chair of Mathematics at Boise State University. His research interests include math education, quantum topology, quantum algebra and representation theory, with particular emphasis on applications to knot theory and the topology of 3-manifolds.Kendra Bridges, Boise State University Kendra Bridges is Special Lecturer for the Department of Mathematics at Boise State University.Joanna Guild, Boise State University Joanna Guild is an Instructor for the Department of Mathematical and Physical Sciences at The College of Idaho. She obtained her M.S. in Mathematics from Boise State University and a B.A. in Mathematics from Kenyon College.Cheryl Schrader, Boise State University Cheryl B
). 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
the followingstandards.CCSS.MATH.CONTENT.6.SP.B.5 [6]: Summarize numerical data sets in relation to theircontext, such as by: ● CCSS.MATH.CONTENT.6.SP.B.5.A: Reporting the number of observations. ● CCSS.MATH.CONTENT.6.SP.B.5.B: Describing the nature of the attribute under investigation, including how it was measured and its units of measurement. ● CCSS.MATH.CONTENT.6.SP.B.5.D: Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.ISTE Empowered Learner [7] ● 1c: Students use technology to seek feedback that informs and improves their practice and to demonstrate their learning in a variety of ways.ISTE Computational Thinker
real-world implementation. The simple integrationI = ∫ e cos x dxcannot be analytically integrated while it can be numerically readily integrated given the limitof integration [a, b] = [1,3] , say, using, for example, the Simpson’s 1/3 closed quadratureformula.Golden ratio ϕ in nature, artfacts, and architecture The Greek mathematicians Pythagoras(about 582 BC−507 BC) and Euclid (about 330 BC−275 BC), the Italian mathematicianFibonacci (about 1175 −1250), also known as Leonardo of Pisa, the German Lutheranmathematician J. Kepler (1571−1630), the British mathematical physicist R. Penrose (1931)are just a few names over the past 25 centuries, who have spent countless hours over thissimple yet amazing number, the golden ratio and its properties
-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
Education, 31 (1): 30-43.2. Bloom, B. S. (1956). Taxonomy of Educational Objectives: The Classification of Educational Goals: Handbook 1, Cognitive Domain. New York: David McKay.3. Pintrich, P. R. (2004). A conceptual framework for assessing motivation and self-regulated learning in college students. Educational Psychology Review, 16(4), 385–407.4. National Academy of Engineering. (2004). The engineer of 2020: Visions of engineering in the new century. Washington, D.C.: National Academies Press.5. [Reference redacted for blind review]6. [Reference redacted for blind review]7. Boelkins, M. (2013). Active Calculus. Electronic book available at http://faculty.gvsu.edu/boelkinm/Home/ Download.html .8. Hake, R.. (1998
, 16(4), 399-431.3. Aspinwall, L., Shaw, K. L., & Presmeg, N. C. (1997). Uncontrollable mental imagery: Graphical connections between a function and its derivative, Educational studies in mathematics, 33, 301-317.4. Baker, B., Cooley, L., & Trigueros, M. (2000). A calculus graphing schema, Journal for Research in Mathematics Education, 31(5), 557-578.5. Breidenbach, D., Dubinsky, E., Hawks, J., & Nichols, D. (1992). Development of the process of function, Educational Studies in Mathematics, 23(3), 247-285.6. Clark, J. M., Cordero, F., Cottrill, J., Czarnocha, B., DeVries, D. J., St. John, D., Tolias, G., & Vidakovic, D. (1997). Constructing a schema: The case of the chain rule? Journal of
(UVA), she worked as an assistant professor at Black Hills State University for two years. In her current role as an APMA faculty member at UVA, she teaches applied math courses to engineering students. Her goals in teaching are to help students develop the confidence in their own ability to do mathematics and to make mathematics a joyful and successful experience.Prof. Lindsay Wheeler, University of Virginia c American Society for Engineering Education, 2018 The benefit of training Undergraduate Teaching AssistantsAbstractWe report on a new program to train Undergraduate Teaching Assistants (UTAs) that we areimplementing at our institution, the University of Virginia. The mixed methods
develop abilities in critical thinking, problem solving, written and oral communication, quantitative analysis, leadership and teamwork, ethics and values awareness, and information technology b. The student will acquire a strong background in applied mathematics with an emphasis on computational methods c. The student will acquire a foundation in physics, computing tools and engineering science necessary to understand how each relates to realistic applications in at least one science application area d. The student will be exposed to computational applications in the sciences and engineering. The student will learn how to synthesize the mathematics, computing, physics, and engineering to
equations in modelling contexts. International Journal of Mathematics Education in Science and Technology, 35, 503 – 516.8. Roble, A., Tague, J., Czocher, J., & Baker, G. Pencasts as Exemplars of Mathematical Modelling for Engineering Students. Proceedings of the International Conference on Engineering Education, Marrakesh, Morocco, 2013.9. Tague, J., Czocher, J., Baker, G., & Roble, A. Choosing and Adapting Technology in a Mathematics Course for Engineers. Proceedings of the American Society for Engineering Education, Atlanta, GA, 2013.10. Ärlebäck, J. B., Doerr, H. M., & O’Neil, A. H. (2013). A modeling perspective of interpreting rates of change in context. Mathematical Thinking and Learning, 15, 314- 336.11
Paper ID #34390Responding to Microaggressions in the Classroom: Perspectives FromIntroductory Mathematics InstructorsRebecca Machen, University of Colorado Boulder Rebecca Machen is currently a Ph.D. student in Curriculum and Instruction with a focus in STEM at the University of Colorado at Boulder. She is also a full-time staff member in the Student Academic Success Center, a comprehensive academic and social program that serves traditionally underrepresented students in higher education. Her research interests include multicultural communities of practice, the use of predictive analytics for admission and placement into
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
Education, 27, no. 3, 2002, pp. 237–40.11. Billing, D., “Teaching for transfer of core/key skills in higher education: Cognitive skills,” Higher Education, 53, no. 4, 2007, pp. 483–516.12. Keene, K., “A characterization of dynamic reasoning: Reasoning with time as parameter,” The Journal of Mathematical Behavior, 26, no. 3, 2007, pp. 230–246.13. Gray, S., Loud, B., & Sokolowski, C., “Calculus students’ use and interpretation of variables: Algebraic vs. arithmetic thinking,” Canadian Journal of Science, Mathematics and Technology Education, 9, no. 2, 2009, pp. 59–72.14. Dahlberg, R. P. & Housman, D. L., “Facilitating learning events through example generation,” Educational Studies in Mathematics, 33, no. 3
University that earned a grade of A in apre-calculus course in the first semester had the same engineering retention rate as students whoearned a B in the first semester calculus class.1 Yet, if those same students are placed based ontheir SAT math scores, such students would probably fail calculus if taken in their firstsemester.1 A recent study on parameters that affect student success indicated that the gradeearned in a student’s first college level mathematics class was significantly correlated to whetheror not those students persisted in engineering, while the level at which they began mathematicsstudy at the university was not.2 French, et al. conclude in their study of indicators of engineeringstudents’ success and persistence, that
takers.Preliminary results of the interviews.45 minute interviews were conducted with 14 test takers to obtain more detailed informationabout students responses to the test items. Students were shown their original test paper (nomarks were made by graders on the papers) and asked four questions about their response to eachsub-questions: a. How confident were you in your response to this question? b. Is this question similar to problems you have solved in some other setting? If yes, please describe the setting. c. Talk me through your answer to this question. d. Did you have other ideas about how to solve the problem that you did not write down?Our review of the interviews reveal some
with students’ gender, college major, calculus studying time, internettime, the frequency of asking calculus questions per week, and calculus achievement of thelast semester. Section B is based on the Tripartite Model, with five scales developedaccording to affective, cognitive and behavior domains respectively. The five scales includethe cognitive variables of usefulness and self-efficacy, affective variables of motivation andanxiety, and the behavior variable of learning habit. Each scale contained twelve items for atotal of sixty items. Items of the five scales were combined and randomly listed on a singlesurvey that was distributed to participants of this study.This research conducted a validity analysis of the five scales on 396 first
University Press. Page 25.436.143. Ginsburg, H. P., & Asmussen, K. A. (1988). Hot mathematics. In G. B. Saxe & M. Gearhart (Eds.), Children’s mathematics (pp. 89-111). San Francisco: Jossey-Bass.4. Schoenfeld, A. H. (1992). Learning to think mathematically: Problem solving, metacognition, and sense making in mathematics. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 334- 71). New York: Macmillan Publishing.5. Lesh, R., & Zawojewski, J. (2007). Problem solving and modeling. In F. K. Lester, Jr. (Ed.), Second handbook of research on mathematics teaching and learning