Conference Session

Using Computers, Software, and Writing to Improve Mathematical Understanding

Collection

2012 ASEE Annual Conference & Exposition

Authors

N. Jean Hodges, Virginia Commonwealth University, Qatar

Tagged Divisions

Mathematics

advancing technology,is increasing the necessity for astute critical thinking skills, yet many students arrive at the universitywith these skills underdeveloped. Such higher-level thinking involves analyzing, evaluating, andcreating (the topmost three levels of thinking in Bloom‟s Taxonomy of the Cognitive Domain revisedby Anderson in 2001). Several researchers in the late 1990s into the 2000s have shown thatprocessing new information using these thinking skills increases students‟ information retention. Inaddition, thinking critically helps prepare students to become successful global citizens because theycan make the decisions and solve the problems of modern life more astutely, having both theknowledge retained and the thinking skills developed

Conference Session

The Transition from Secondary to College Mathematics

Collection

2012 ASEE Annual Conference & Exposition

Authors

Helen M. Doerr, Syracuse University; Andria Costello Staniec, Syracuse University; AnnMarie H. O'Neil, C.S. Driver Middle School

Tagged Divisions

Mathematics

in any complex human system, such as education, there is muchvariation present, most of which cannot be controlled in any meaningful sense. Hence, we havetaken a design-based approach that can yield improvements that can be measured locally andaggregated over time, while at the same time giving us insight into how to be effective inimplementing change.References[1] Gattis, C., Hill, B., & Lachowsky, A. (2007). A successful engineering peer mentoring program. In American Society for Engineering Education Annual Conference and Exposition, Conference Proceedings.[2] Jones, S., Rusch, K., Waggenspack, W., Seals, R., & Henderson, V. (2010). S-STEM: Eng^2 scholars for success engineering engagement. In American Society for

Conference Session

The Transition from Secondary to College Mathematics

Collection

2012 ASEE Annual Conference & Exposition

Authors

Galen E. Turner III, Louisiana Tech University; Kelly B. Crittenden, Louisiana Tech University; James D. Nelson, Louisiana Tech University; Heath Tims, Louisiana Tech University

Tagged Divisions

Mathematics

schools for a particular college or university as well as the number ofstudents who enroll from those high schools are useful in evaluating future outreach programs.If we label the number of high schools who have graduates attending a university and the numberof students, Fs, from each school (s) attending the university, then we can characterize the usefuloutput of the feeder high schools through a single number, the f-index, for a given academic year.In any given year, an institution of higher education has index f if f of the number of feeder highschools, H, have at least f students each entering the institution where the other (H –f) schoolshave less than f students each. Cumulative f-indices can be easily created for periods of

Conference Session

The Transition from Secondary to College Mathematics

Collection

2012 ASEE Annual Conference & Exposition

Authors

Sabina Jeschke, RWTH Aachen University; Olivier Frédéric Pfeiffer, Technische Universität Berlin; Omar Musa Hasan, American University of Mdaba; Erhard Zorn, Technische Universität Berlin

Tagged Divisions

Mathematics

-H. Tjaden for his constant support using the Unix Pool of the Department ofMathematics. O. H. thanks for the hospitality at Technische Universität Berlin during his stays inOctober 2011 and March 2012 when this paper was prepared. Page 25.175.8Bibliography1 W. Scharlau, Schulwissen Mathematik: Ein Überblick, 1995, Vieweg, Braunschweig.2 W. Schirotzek, S. Scholz, Starthilfe Mathematik, 5th ed., 2005, B.G. Teubner.3 E. Cramer, E., J. Neslehova, Vorkurs Mathematik, 2nd ed., 2005, Springer, Berlin, Heidelberg, New York.4 D. D. Budny, Mathematics Bridge Program, Frontiers in Education, Vol, No 1, 1995, 2a4.11-2a4.15.5 S. Jeschke, A

Conference Session

Using Computers, Software, and Writing to Improve Mathematical Understanding

Collection

2012 ASEE Annual Conference & Exposition

Authors

Jorge A. Samayoa, Galileo University and Purdue University; Carlos Humberto Zelada, Galileo University

Tagged Divisions

Mathematics

Mathematics, University ofMaryland, for his helpful suggestions and comments.References [1] J. Beel, B. Gipp, and E. Wilde, Academic search engine optimization (aseo), Journal of Scholarly Publishing 41 (2010), no. 2, 176–190. [2] M. Boulos, I. Maramba, and S. Wheeler, Wikis, blogs and podcasts: a new generation of web-based tools for Page 25.1430.13 virtual collaborative clinical practice and education, BMC Medical Education 6 (2006), no. 1, 41. [3] J. Chao, Student project collaboration using wikis, Software Engineering Education Training, 2007. CSEET ’07. 20th Conference on, july 2007, pp. 255 –261. [4] M. Cole, Using

Conference Session

The Transition from Secondary to College Mathematics

Collection

2012 ASEE Annual Conference & Exposition

Authors

Alex Feldman, Boise State University; Doug Bullock, Boise State University; Janet Callahan, Boise State University

Tagged Divisions

Mathematics

author(s) and do not necessarily reflect the views of the National ScienceFoundation.References1. http://www.aleks.com/2. Rueda, N.G. & Sokolowski, C. (2004). Mathematics Placement Test: Helping Students Succeed. TheMathematics Educator, 14 (2) (pp. 27-33).3. Cederberg, J. N. (1999). Administering a placement test: St. Olaf College. In B. Gold, S. Keith, & W. Marion(Eds.), Assessment practices in undergraduate mathematics (pp. 178−180). Washington, DC: MathematicsAssociation of America.4. Cohen, E., Friedlander, J., Kelemen-Lohnas, E., & Elmore, R. (1989). Approaches to predicting student success:Findings and recommendations from a study of California Community Colleges. Santa Barbara, CA: Chancellor’sOffice of the California

Conference Session

Techniques in Improving Mathematics Education in STEM Curricula

Collection

2012 ASEE Annual Conference & Exposition

Authors

Jennifer Vandenbussche, Southern Polytechnic State University; Christina R. Scherrer, Southern Polytechnic State University

Tagged Divisions

Mathematics

Journal of Mathematical Education in Science and Technology, 39(7), 843-855. 9. Fernandez, E., Kazimir, J., Vendemeulebroeke, L., Burgos, C. (2002). Experimenting with Classroom Formats to Encourage Problem Solv ing. Pri mus, 12(3), 247-61. 10. Frederickson, E. (1998). Minority Students and the Learning Co mmun ity Experience: A Cluster Experiment. U.S.: Texas 1998-0400, ED423533. 11. Johnson, D., Johnson, R., Smith, K. (1998a). Active Learning: Cooperation in the College Classroom 2 nd ed. Interaction Book Co, Edina, MN. 12. Johnson, D., Johnson, R., Smith, K. (1998b). Cooperative Learning Return s to College: What Evidence is there that it Works? Change, 30(4), 26-35

Conference Session

Using Applications and Projects in Teaching Mathematics

Collection

2012 ASEE Annual Conference & Exposition

Authors

Hassan Moore, University of Alabama, Birmingham

Tagged Divisions

Mathematics

challenge students to apply the information taught through modeling a system, analyzingit, and presenting a solution(s) complete with units and an interpretation of the physicalphenomena examined. Given that time is a premium in the academy and project creation is atime consumer, three original projects, which may be injected into any Calculus III, DifferentialEquations, or Engineering Mathematics course, have been created. The aim is to increase the useof projects in courses where the intent is there but creation time is the mitigating factor. Thispaper includes projects that tackle first-order ordinary differential equations (ODEs), second-order ODEs, and multivariable calculus.IntroductionIn some mathematics courses, students are asked to

Conference Session

Using Applications and Projects in Teaching Mathematics

Collection

2012 ASEE Annual Conference & Exposition

Authors

Gunter Bischof, Joanneum University of Applied Sciences, Graz, Austria; Christian Steinmann, Joanneum University of Applied Sciences, Graz, Austria

Tagged Divisions

Mathematics

from the Technical University Graz, where he focused on software quality and software development process assessment and improvement. He is Manager of HM&S IT-Consulting in Graz and provides services for SPiCE/ISO 15504 and CMMI for development as a SEI-certified instructor. He performed more than 100 process assessments in software development departments for different companies in the finance, insurance, research, automotive, and automation sector. Currently, his main occupation is a consulting project for process improvement at the Electrics/Electronics Development Department at Volkswagen in Wolfsburg, Germany. On Fridays, he is teaching computer science introductory and programming courses at Joanneum

Conference Session

Using Applications and Projects in Teaching Mathematics

Collection

2012 ASEE Annual Conference & Exposition

Authors

David I. Spang, Burlington County College; Kathleen Spang, Middlesex Boro High School

Tagged Divisions

Mathematics

College andMiddlesex Borough High School, both for providing a rich and innovative environment, with astrong focus on student outcomes and success.Bibliography1) http://www.nsf.gov/statistics/seind/2) http://www.bls.gov/oco3) J. Sinn, S. Walthour, and D. Haren, “Technology-Based Math and Science Applications”. The TechnologyTeacher, October 1995, p. 16-24.4) http://www.mos.org/eie/5) http://www.mos.org/educators/classroom_resources/curricula_and_research&d=20206) http://www.awim.org/7) http://www.mos.org/etf/8) D. Perin and R. Hare, Community College Research Center, CCRC Brief, June 2010.9) K. Spang, “Teaching Algebra Ideas to Elementary School Children: Robert B. Davis’ Introduction to EarlyAlgebra”, Doctoral Thesis, Rutgers University

Conference Session

Using Applications and Projects in Teaching Mathematics

Collection

2012 ASEE Annual Conference & Exposition

Authors

Julie Gainsburg, California State University, Northridge

Tagged Divisions

Mathematics

practice: Mind, mathematics, and culture in everyday life. New York: Cambridge University Press.14. de la Rocha, O. (1985). The reorganization of arithmetic practice in the kitchen. Anthropology and Education Quarterly, 16, 193-8.15. Scribner, S. (1984). Studying working intelligence. In B. Rogoff & J. Lave (Eds.), Everyday cognition: Its development in social context (pp. 9-40). Cambridge, MA: Harvard University Press.16. Bissell, C. & Dillon, C. (2000). Telling tales: Models, stories, and meanings. For the Learning of Mathematics, 20(3), 3-11.17. Kent, P., & Noss, R. (2002). The mathematical components of engineering expertise: The relationship between doing and understanding mathematics. Paper submitted to the

Conference Session

Techniques in Improving Mathematics Education in STEM Curricula

Collection

2012 ASEE Annual Conference & Exposition

Authors

John R. Reisel, University of Wisconsin, Milwaukee; Marissa Jablonski, University of Wisconsin, Milwaukee; Ethan V. Munson, University of Wisconsin, Milwaukee; Hossein Hosseini, University of Wisconsin, Milwaukee

Tagged Divisions

Mathematics

preparation for her and created a challenging objective for the group. The resultsshowed the students in her group their weaknesses in a format different from the in-class testsand verified that they did indeed need to study and that attendance in the study group isworthwhile.Study Group LogisticsAs described elsewhere8, students arrive at study groups to find that the mentor has organized theseating in the room to be in a U-shape with all chairs and desks facing the white board. Thementor takes a seat as if s/he is a part of the group. The mentor facilitates collaborative groupwork by opening communication and asking about problem areas from the lecture or homework.In the case of a group with students from several different course sections studying

Conference Session

Using Computers, Software, and Writing to Improve Mathematical Understanding

Collection

2012 ASEE Annual Conference & Exposition

Authors

John Schmeelk, Virginia Commonwealth University, Qatar

Tagged Divisions

Mathematics

”, Page 25.489.10 J. Physiol. 197, (1968), 551-566. 6. Demirkaya, O., Asyali, M., H., Sahoo, P.K., Image Processing with MATLAB-Applications in Medicine and Biology, CRC Press, Florida, (2009). 7. Gonzalez, R.C., &Wintz, P., Digital Image Processing, Addison-Wesley Publ. Co., MA. (1987). 8. Jain, A., K., Fundamentals of Digital Image Processing, Prentice Hall, NJ, (1989) 9. Kalanad, A. and Rao, B., N., Detection of Crack location and size in structures using improved damaged finite elements, IOP Conf. Series: Materials Science and Engineering, IOP Publishing, 10, (2010), 1-10. 10. Lim, J., S., Two-Dimensional Signal and Image Processing, Prentice Hall, NJ, (1990). 11. Mannan, M.,A

Conference Session

Techniques in Improving Mathematics Education in STEM Curricula

Collection

2012 ASEE Annual Conference & Exposition

Authors

Erin Shaw, University of Southern California; Zachary Boehm, University of Southern California; Hussain Badruddin Penwala, University of Southern California; Jihie Kim, University of Southern California

Tagged Divisions

Mathematics

, http://www.reuters.com/article/pressRelease/idUS192979+28‐Jan‐2009+PRN20090128.2. Ewo Y., All W., Mahmud R., and Baki, R. (2009). Computer games development and appreciative learning approach in enhancing students’ creative perception, Computers & Education, Elsevier.3. Kelly, H., Howell, K., Glinert, E., Holding, E., Swain, C. Burrowbridge, A., Roper, M. (2007). How to build serious games, Communications of the ACM, 50(7).4. Denner, J., Bean, S., & Martinez, J. (2009). Girl game company: Engaging Latina girls in information technology. Afterschool Matters, 8, 26-35.5. Game Maker Site: http://www.yoyogames.com/gamemaker/windows.6. Project Site: http://www.isi.edu/pedtek.7. Project Annual Report 2011