Conference Session

Approaches to Mathematics Curriculum to Include Projects and Technologies

Collection

2014 ASEE Annual Conference & Exposition

Authors

Charles C.Y. Lam, California State University, Bakersfield; Melissa Danforth, California State University, Bakersfield; Ronald Hughes, CSUB STEM Affinity Group

Tagged Divisions

Mathematics

knowledge inpractical applications, engineering applications were introduced to the student activity.Students agreed (on a yes/no scale, with 93.3% agree, n=15) to the statement that thismodel “help[s] you to understand the role of mathematics in physics and engineering”.The more surprising result was that students also agreed (73% agree, n=15) to thestatement that the co-teaching model “help[s] you to be successful in this calculuscourse”, when the applications are in the pre-calculus level. Attitudinal data will continueto be tracked for the rest of this academic year. Grade Distribution A baseline measurement through the X Calculus Readiness test is used to measurethe mathematics aptitude of students getting into calculus. The one

Conference Session

The Use of Games and Unique Textbooks in Mathematics Education

Collection

2014 ASEE Annual Conference & Exposition

Authors

Erin Shaw, University of Southern California; Jihie Kim, University of Southern California; Zinan Xing, University of Southern California

Tagged Divisions

Mathematics

Mailman and board chair Beth Kennedy for supporting thestudy. A special thank you to PedGames server administrator Hao Xu and to all of the PedGamesstudent programmers for their creativity, dedication and hard work.Bibliography1. Shaw, S., Boehm, Z., Penwala, H., and Kim, J., GameMath! Embedding Secondary Mathematics into a Game- Making Curriculum Proceedings of the American Society of Engineering Education, 2012.2. van der Meulen, R. and Rivera, J. (2013) Gartner press release. Online at http://www.gartner.com/newsroom/id/2614915.3. Moskal, B. and Skokan, C. (2007). An innovative approach for attracting students to computing: A comprehensive proposal. Online at http://www.nsf.gov/awardsearch

Conference Session

Changing the Classroom Environment in Mathematics Education

Collection

2014 ASEE Annual Conference & Exposition

Authors

Jenna Tague, Ohio State University; Gregory Richard Baker, Ohio State University

Tagged Divisions

Mathematics

. International Journal of Mathematical Education in Science and Technology, 44 (5), 673-684.2. Andrews, T. M., Leonard, M. J., Colgrove, C. A., & Kalinowski, S. T. (2011). Active learning not associated with student learning in a random sample of college biology courses. CBE – Life Sciences Education, 10, 394-405.3. Bowers, J., & Zazkis, D. (2012). Do students flip over the flipped classroom model for learning college calculus? Proceedings of the 34th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Kalamazoo, MI: Western Michigan University.4. Herscovics, N. (1989). Cognitive obstacles encountered in the learning of algebra. In S. Wagner & C. Kieran

Conference Session

Approaches to Mathematics Curriculum to Include Projects and Technologies

Collection

2014 ASEE Annual Conference & Exposition

Authors

Jeffrey Lloyd Hieb, University of Louisville; Patricia A Ralston, University of Louisville

Tagged Divisions

Mathematics

. S. Ralston is Chair of the Department of Engineering Fundamentals at the University of Louisville. She also has an associate appointment in Chemical Engineering. Dr. Ralston teaches under- graduate engineering mathematics and is currently involved in educational research on the effective use of Tablet PCs in engineering education, the incorporation of critical thinking in undergraduate engineer- ing education, and retention of engineering students. Her fields of technical expertise include process modeling, simulation, and process control. Page 24.43.1 c American Society

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

Changing the Classroom Environment in Mathematics Education

Collection

2014 ASEE Annual Conference & Exposition

Authors

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

Tagged Divisions

Mathematics

understanding. By including reflective writing, teachers can promotehigher order critical thinking and return responsibility for learning back to the students. While itis true that rote practice is still essential in mathematics, the developers stress that evenimplementing parts of an EFFECT are an excellent way to engage students and start thedevelopment process of creating entire units of study designed around the EFFECT framework.References[1] EFFECTs Web page: http://sdii.ce.sc.edu/effects/?q=node/14[2] Mason, Gregory S.; Shuman, Teodora Rutar; Cook, Kathleen E. “Comparing the Effectiveness of an InvertedClassroom to a Traditional Classroom in an Upper-Division Engineering Course” IEEE TRANSACTIONS ONEDUCATION 56 (4), 430-435, 2013.[3] Latterell

Conference Session

The Use of Games and Unique Textbooks in Mathematics Education

Collection

2014 ASEE Annual Conference & Exposition

Authors

David Reeping, Ohio Northern University; Kenneth J. Reid, Ohio Northern University

Tagged Divisions

Mathematics

. Figure 5: Example Problem Involving Electric Circuits Page 24.1391.8After an introduction to Nodal Analysis and Mesh Analysis to give the students an idea wherethe equations are coming from, the focus is shifted to competency in solving the resultingequation(s). Particularly with Nodal, the student needs to be comfortable in dealing withfractions and finding a common denominator. After simplifying, the remaining equation is linear.Solving for , the result is 12 V. This can be validated using PSPICE, which can serve as agood technology application if the class is able to access this program (Figure 6). Figure

Conference Session

The Use of Games and Unique Textbooks in Mathematics Education

Collection

2014 ASEE Annual Conference & Exposition

Authors

Adrian J. Lee, Central Illinois Technology and Education Research Institute; Sheldon H. Jacobson, University of Illinois, Urbana-Champaign; William A. Cragoe, Sacred Heart-Griffin High School

Tagged Divisions

Mathematics

thiseducational effort can be expanded outside the classroom to involve the entire student body, inthe hopes of motivating students to enroll in elective courses in the future. The classroomstudents can then analyze the data obtained from this school wide challenge to determine ifmathematical models can be used to help understand human intuition. Ultimately, this week longexperience helps students realize the practical applications of mathematics, and demonstrates thata systematic analysis in lieu of intuition can give your bracket the statistical edge.References 1. Jacobson, S. H., Nikolaev, A. G., King, D.M., Lee, A. J., 2011, “Seed distributions for the NCAA Men’s Basketball Tournament”, OMEGA, 39(6):719-724. 2. Lunardi, J

Conference Session

Changing the Classroom Environment in Mathematics Education

Collection

2014 ASEE Annual Conference & Exposition

Authors

Robert Talbert, Grand Valley State University

Tagged Divisions

Mathematics

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