Conference Session

Mathematics Division Technical Session 4

Collection

2013 ASEE Annual Conference & Exposition

Authors

Jennifer Vandenbussche, Southern Polytechnic State University

Tagged Divisions

Mathematics

sectionsThe table below shows the final grade breakdown for the test section of Calculus I, as well asthe grade breakdown for all other Calculus I sections at SPSU taught by permanent facultymembers. (The restriction to full-time faculty members is due to a historical differencebetween course outcomes for permanent and adjunct faculty in our department.) The “OverallGPA” below attributes four points to students achieving an A, three points to those with a B,two points to those with a C, one point to those with a D, and none to those who withdrew orreceived an F. Test section (n=34) All other sections (n=208) Course grade Number of Percentage Number of Percentage students of

Conference Session

Mathematics Division Technical Session 2

Collection

2013 ASEE Annual Conference & Exposition

Authors

Shirley B. Pomeranz, University of Tulsa

Tagged Divisions

Mathematics

Paper ID #6492Tradeoffs in using Mathematica templates in an introductory numerical meth-ods courseDr. Shirley B. Pomeranz, University of Tulsa Shirley Pomeranz Associate Professor Mathematics Graduate Student Advisor Department of Mathemat- ics The University of Tulsa Research and Teaching Interests: Boundary Element Method and Finite Element Method, Numerical Methods, Engineering Applications of Mathematics, Applications of Mathematica, Women in Mathemat- ics Page 23.1258.1 c American Society

Conference Session

Mathematics Division Technical Session 3

Collection

2013 ASEE Annual Conference & Exposition

Authors

Jeremiah J. Neubert, University of North Dakota; Deborah Worley, University of North Dakota; Naima Kaabouch, University of North Dakota; Mohammad Khavanin, Professor of Mathematics at University of North Dakota

Tagged Divisions

Mathematics

Unmanned Aerial VehicleUnmanned aerial vehicles (UAVs), such as the one shownin Figure 3(a), are becoming less expensive and easier touse. This makes them ideal for search and rescueoperations. The ACME company makes a UAV that can bedeployed by hand that automatically flies a spiral searchpattern like the one depicted in Figure 1(b). This patternmaintains a half-mile distance between passes to guarantee (a)the plane will pass within a quarter mile of any person inthe search area.The path of the plane is described by the equations andwhere and represent the coordinates of the UAV andare expressed in miles. The parameter has no physicalmeaning, but is used to delineate where the plane is on

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

%) ODE Letter Grade A 21 (26%) 143 (39%) B 34 (41%) 130 (35%) C 26 (32%) 88 (24%) D 1 (1%) 7 (2%) F 0 (0%) 1 (0%) Age Distribution <22 32 (39%) 109 (30%) [22-26] 44 (54%) 205 (56%) >26 6 (7%) 55 (15%) Gender Male 75 (91%) 330 (89%) Female

Conference Session

Mathematics Division Technical Session 4

Collection

2013 ASEE Annual Conference & Exposition

Authors

Jennifer Vandenbussche, Southern Polytechnic State University; William George Griffiths IV, Southern Polytechnic State University; Christina R Scherrer, Southern Polytechnic State University

Tagged Divisions

Mathematics

Computer Education, Vol. 44, No. 1, pp. 53-63 (Winter 2010). 6. M. Butler, and R. Zerr, ―The Use of Online Homework Systems to Enhance Out-of-Class Student Engagement,‖ The International Journal for Technology in Mathematics Education, Vol.12, No.2, pp. 51- 58 (2005). 7. B. Gutarts and F. Bains, ―Does Mandatory Homework Have a Positive Effect on Student Achievement for College Students Studying Calculus?‖ Mathematics and Computer Education, Vol. 44, No. 3, pp. 232- 244 (Fall 2010). 8. S. Hauk and A. Segalla, ―Student Perceptions of the Web-Based Homework Program WeBWorK in Moderate Enrollment College Algebra Classes,‖ The Journal of Computers in Mathematics and Science Teaching, Vol

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 1

Collection

2013 ASEE Annual Conference & Exposition

Authors

Jenna Tague, Ohio State University; Jennifer Czocher, Ohio State University; Gregory Richard Baker, Ohio State University; Amanda Roble, Ohio State University

Tagged Divisions

Mathematics

Paper ID #7445Choosing and Adapting Technology in a Mathematics Course for EngineersJenna Tague, Ohio State University Jenna Tague is a mathematics education doctoral student at The Ohio State University. She received her B.S. and M.S. in mathematics from Bucknell University and Colorado State University, respectively. Research interests include mathematics for engineering students and problem solving.Miss Jennifer Czocher, Ohio State University Jennifer Czocher is a doctoral candidate in mathematics education at Ohio State University. Her research interests are mathematical modeling and mathematical thinking in STEM

Conference Session

Mathematics Division Technical Session 3

Collection

2013 ASEE Annual Conference & Exposition

Authors

Michael R. Allen, Department of Mathematics; Dale A. Wilson, Tennessee Technological University

Tagged Divisions

Mathematics

Paper ID #7596Making Mathematics Relevant to Engineering StudentsDr. Michael R. Allen, Department of Mathematics Dr. Allen earned his PhD in Statistics from the University of Georgia in 1997 and currently holds a full time Associate Professor position in the Department of Mathematics at Tennessee Technological Univer- sity. His research interests include edgeworth expansions, time series, bootstrapping, online pedagogy and fractional calculus and has published papers on four of these five subjects. He minored in education and physics as an undergrad and obtained a Master in mathematics. Recently, he earned a Bachelors in

Conference Session

Mathematics Division Technical Session 2

Collection

2013 ASEE Annual Conference & Exposition

Authors

Andrew Grossfield P. E., Vaughn College of Aeronautics & Technology

Tagged Divisions

Mathematics

x               B   4 2 Figure 1 A fourth degree polynomial: y = x – 2x + .2x +1 Page 23.815.3The graph indicates: (1) The extent of the curve, horizontally and vertically (2) the

Conference Session

Mathematics Division Technical Session 2

Collection

2013 ASEE Annual Conference & Exposition

Authors

Helen M Doerr, Syracuse University; Jonas Bergman Arleback, Syracuse University; AnnMarie H O'Neil, C.S. Driver Middle School

Tagged Divisions

Mathematics

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

Conference Session

Mathematics Division Technical Session 4

Collection

2013 ASEE Annual Conference & Exposition

Authors

Hassan Moore, University of Alabama, Birmingham

Tagged Divisions

Mathematics

. Below are the topics covered in the course: I. First-Order Ordinary Differential Equations (ODEs) A. Basic Concepts, Modeling B. Initial Value Problems C. Direction Fields D. Existence and Uniqueness E. Separable ODEs F. Linear ODEs G. Applications (primarily Biomedical, Mechanical, and Electrical) II. Second-Order Ordinary Differential Equations A. Homogeneous Linear ODEs with constant coefficients B. Free Oscillations C. Forced Oscillations D. Electrical/Mechanical Systems III. Multivariable Calculus A. Functions of Several Variables B. Partial Derivatives

Conference Session

Mathematics Division Technical Session 1

Collection

2013 ASEE Annual Conference & Exposition

Authors

Catherine Matos, Clayton State University; Tamara Pearson, Clayton State University

Tagged Divisions

Mathematics

Page 23.720.5semesters. Student performance shows a significant increase (z = 1.898, P =0.029) in theproportion of students passing the class (grade of A, B or C) from Fall 2010 to Fall 2012. In bothcourses, Maple was used in class, while Camtasia recordings and posted class notes were addedfor the 2012 class. Use of Maple was more extensive in the 2012 class. The P value gives theprobability of obtaining a difference in sample proportions that is at least as large as what wasactually obtained, if there is actually no difference in the population proportions. P-values below0.05 are generally regarded as strong evidence of a difference in population proportions. The z-score value gives the number of standard deviations away from 0 (no

Conference Session

Mathematics Division Technical Session 2

Collection

2013 ASEE Annual Conference & Exposition

Authors

Zohra Manseur, Oswego State University College

Tagged Divisions

Mathematics

betterunderstanding of the mathematical relationship between physical quantities as well as thederivation and verification of the validity of physics equations.Physical Units in CalculusMany engineering processes are modeled as differential equations relating inputs to outputs in asystem. Common examples include, in mechanics, the mass-spring modeling equationdescribing the motion of the mass in response to an input stimulus that excites the spring, and inelectric circuits, the series or parallel resistor, inductor, capacitor circuit. The equation is of theform: d 2 y(t ) dy(t ) a 2 b  cy(t )  x(t

Conference Session

Mathematics Division Technical Session 1

Collection

2013 ASEE Annual Conference & Exposition

Authors

James E. Lewis, University of Louisville; Jeffrey Lloyd Hieb, University of Louisville

Tagged Divisions

Mathematics

, since it can cause students tostruggle with how to interpret a question and how to properly format solutions. This past springsemester, MyMathLab was used to deliver and grade a daily in-class problem in EngineeringAnalysis I. Several benefits of this approach have been observed: (a) attendance data iscollected and stored with little effort by the professor; (b) using MyMathLab in-class problems Page 23.1330.2helps reinforce course learning concepts with immediate correctness feedback; (c) studentsreceive a structured environment to practice dealing with exam-like problems.Student response to the MyMathLab homework and in-class problem has been

Conference Session

Mathematics Division Technical Session 1

Collection

2013 ASEE Annual Conference & Exposition

Authors

Patricia Salinas, ITESM; Eliud Quintero, ITESM

Tagged Divisions

Mathematics

perspectives. Educational Studies in Mathematics, 68, 99-111.6. Moreno-Armella, L., & Hegedus, S. J. (2009). Co-action with digital technologies. ZDM, 41(4), 505–519. doi:10.1007/s11858-009-0200-x7. Moreno-Armella, L., & Sriraman, B. (2005). Structural stability and dynamic geometry: Some ideas on situated proofs. ZDM, 37(3), 130-139.8. Noss, R., & Hoyles, C. (2004). The technological presence: Shaping and shaped by learners. Plenary Paper 10th International Congress on Mathematical Education. Recovered in May, 29, 2009 from http://www.icme- organisers.dk/tsg15/Noss&Hoyles.pdf9. Salinas, P. y Alanís, J. A. (2009). Hacia un nuevo paradigma en la enseñanza del Cálculo. Revista Latinoamericana de Investigación en Matemática

Conference Session

Mathematics Division Technical Session 4

Collection

2013 ASEE Annual Conference & Exposition

Authors

Kendrick T. Aung, Lamar University; Ryan Underdown, Lamar University; Qin Qian, Lamar University

Tagged Divisions

Mathematics

4% Hispanic 4% (a) (b)Figure 3 Results of demographic survey of students from Dynamic course of (a) spring and (b) summer semesters of 2012 Page 23.1354.10 Class Standing Class Standing 74% 34% Sophomore Sophomore 53

Conference Session

Mathematics Division Technical Session 4

Collection

2013 ASEE Annual Conference & Exposition

Authors

Murray Teitell, DeVry University, Long Beach; William S. Sullivan, DeVry University, Long Beach

Tagged Divisions

Mathematics

their future careers.13 References1. Eusgeld, I., Freiling, F.C., and Reussner, R. (1998).Dependability Metrics (Advanced Lectures). New York. Springer.2. James, B. (2007). The Bill James Handbook. Skokie, Il. ACTA Sports3. Klubeck, Martin. (2011).Metrics: How to Improve Key Business Results. New York. Apress.4. Simpson, T.W., Poplinski, P.N., Koch, P. N. and Allen, J. K. (2001. Metamodels for Computer-based Engineering Design Survey and Recommendations. Engineering with Computers. 17 (2) 129-150.5. Ebert, C., Dumke, R., Bundschuh, M. and Schmietendorf, A. (1998). Best Practices in Software Measurement (How to use Metrics to Improve Project and Process Performance). New York. Springer.6. Antonsson, E. K

Conference Session

Mathematics Division Technical Session 1

Collection

2013 ASEE Annual Conference & Exposition

Authors

Ravi T. Shankar, Florida Atlantic University; Don Ploger, Florida Atlantic University; Agnes Nemeth, Florida Atlantic University; Steven Alan Hecht Ph.D., Nova Southeastern University

Tagged Divisions

Mathematics

, toachieve three things: (1) the students could appreciate better the physics and engineeringprinciples underlying the components. (2) The students could manipulate these components at ahigh level of abstraction, so they were not burdened with technological and software details. (3)They feel empowered to manipulate the robotic platform to achieve their specific goals.V. B. The Robots Constructed by Students: Figure 2 shows the two versions of robots thatour student teams built. The second version robots (to the right) were built and used by the highschool students. These robots had fewer wheels and used a lighter pen fixed in the center of theplatform, rather than at the back as with the first version of the robots (to the left) built and usedby

Conference Session

Mathematics Division Technical Session 3

Collection

2013 ASEE Annual Conference & Exposition

Authors

Gregory Richard Baker, Ohio State University

Tagged Divisions

Mathematics

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

Conference Session

Mathematics Division Technical Session 4

Collection

2013 ASEE Annual Conference & Exposition

Authors

Rebecca Bourn, Tribeca Flashpoint Media Arts Academy; Sarah C. Baxter, University of South Carolina

Tagged Divisions

Mathematics

Engineering and Applied Science. Page 23.405.1 c American Society for Engineering Education, 2013 Developing Mathematical Intuition by Building Estimation SkillsAbstractOpen-ended problems are challenging for many students because they often have little sense ofwhat a “correct” answer would be and struggle with evaluating the quality of an answer derivedfrom a calculator or computer model. It is difficult for them to see patterns or associate one typeof problem with another and they have few intuitive skills to use to judge the completeness oftheir answers. These can be significant obstacles for

Conference Session

Mathematics Division Technical Session 3

Collection

2013 ASEE Annual Conference & Exposition

Authors

Samantha Nacole Andrews, Georgia Institute of Technology; Greg Mayer, Georgia Tech; Rui Hu, CEISMC, Georgia Institute of Technology; Connelly Hunter Connelly, Google, Inc.; Nathaniel William Tindall III; Neva Rose, Georgia Institute of Tecnology - CEISMC

Tagged Divisions

Mathematics

Paper ID #7361Development of an Online High School Multivariable Calculus-themed Intro-duction to Engineering CourseDr. Samantha Nacole Andrews, Georgia Institute of Technology Samantha Andrews obtained her PhD in Biomedical Engineering from the Georgia Institute of Technol- ogy and Emory University in 2010. Currently she is a Postdoctoral Fellow at the Georgia Institute of Technology where she focuses on science education and outreach. Her work includes conducting teacher professional development workshops and developing online science courses for students and teachers for the Race to the Top grant.Dr. Greg Mayer, Georgia

Conference Session

Mathematics Division Technical Session 2

Collection

2013 ASEE Annual Conference & Exposition

Authors

Jamiiru Luttamaguzi, Elizabeth City State University; Ka'Ren Ladoris Byrd; Akbar M. Eslami, Elizabeth City State University; Ehsan O Sheybani, Virginia State University; Giti Javidi, Virginia State University

Tagged Divisions

Mathematics

Paper ID #6229Case Study: Numerical Convergence Study on Simulated Spaceborne Mi-crowave Radiometer Measurements of EarthDr. Jamiiru Luttamaguzi, Elizabeth City State University Dr. Jamiiru Luttamaguzi is an Assistant Professor in Elizabeth City State University. His main research interest is in Optimal Control Theory. Most of his professional career has been spent teaching graduate and undergraduate math courses. He has supervised students in the McNair Internship program and the ECSU- NAM Summer Research Computational Science-Scientific Visualization programs. He graduated with a PhD is MAthematics and MS in