Conference Session

Integrating Math Science and Engineering

Collection

2011 ASEE Annual Conference & Exposition

Authors

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

Tagged Divisions

Mathematics

describe theauthors’ approach to adding original derivation assignments to the curriculum of engineering andtechnology courses in order to ensure the genesis of this creative skill set at the undergraduatelevel. The goal is to develop in undergraduate students learning patterns that will facilitate theability to write for any system, a set of equations that describes the system. II. INTRODUCTIONMathematical modeling entails finding a series of steps that define all the relationships in asystem. An example of a system is an energy system, a power system, an electronic circuit, amanufacturing process or a cancer cell. Each of these systems is an ongoing subject formathematical modeling.1-4 Students can use a

Conference Session

Computers and Software in Teaching Mathmatics

Collection

2011 ASEE Annual Conference & Exposition

Authors

Micah Stickel, University of Toronto

Tagged Divisions

Mathematics

Education: II. Teaching Methods That Work” Chemical Engineering Education, Vol. 31, No. 1, pp. 26-39, 2000.6. Whiteacre, M., and Malavé, C. “An Integrated Freshman Engineering Curriculum for Pre-calculus Students,” Proceedings 28th ASEE/IEEE Frontiers in Education Conference, Tempe, AZ, November, 4-7, 1998.7. Froyd, J., Ohland, M., “Integrated Engineering Curricula,” Journal of Engineering Education, January 2005, pp. 148 - 164.8. Behrens, A., Atorf, L., Schwann, R., Neumann, B., Schnitzler, R.. Balle, J., Herold, T., Telle, A., Noll, T.G., Hameyer, K., and Aach, T., “MATLAB Meets LEGO Mindstorms—A Freshman Introduction Course Into Practical Engineering”, IEEE Trans. Education, Vol. 53, No. 2, 2010, pp. 306 – 317.9

Conference Session

Integrating Math Science and Engineering

Collection

2011 ASEE Annual Conference & Exposition

Authors

Po-Hung Liu, National Chin-Yi University of Technology; Ching Ching Lin, National Taipei University of Technology; Tung-Shyan Chen, National Chin-Yi University of Technology, Fundamental General Education Center; Chiu-Hsiung Liao, National Chin-Yi University of Technology, Fundamental General Education Center; Yen Tung Chung, National Chin-Yi University of Technology, Fundamental General Education Center; C. Lin, National Chin-Yi University of Technology, Taiwan R.O.C.; Ruey-Maw Chen, National Chin-Yi University of Technology

Tagged Divisions

Mathematics

forimproving teaching and learning in calculus. The PLEASE project adopts a collaborative model consisting of four individual projectsconducted by Mathematics and Engineering faculties at two technological universities inTaiwan. The title PLEASE stands for six main themes of this integrated project: (1)P—pre-calculus, (2) L—low achievers’learning, (3) E—e-learning, (4) A—assessment, (5)S—statistics and calculus, (6) E—engineering mathematics and calculus. The PLEASEproject assumes a collaborative model not only for reforming calculus curriculum itself, but Page 22.540.4also for establishing an e-learning and assessment platform. It can be divided

Conference Session

Issues and Answers in Mathematics Education

Collection

2011 ASEE Annual Conference & Exposition

Authors

Peter J. Sherman, Iowa State University

Tagged Divisions

Mathematics

1 n x f X ( x)  2 |0  1 / 2  0  1 / 2   X ;  x f X ( x)dx   ( xk )   X  p . n k 10 SXThe above answers comprise a mix of confusion, ranging from the notion of an integral as a sum,to the sample mean as distinct from the theoretical mean, to nonsensical expressions related tobasic integration. A variety of elements unrelated to the problem are also introduced. That thisproblem posed such difficulties to so many students at the 10th week of the class is, in no smallpart, related to the fact that from the very beginning of the course there were a number ofstudents who

Conference Session

Issues and Answers in Mathematics Education

Collection

2011 ASEE Annual Conference & Exposition

Authors

Paul Chanley, North Essex Community College; Michael E. Pelletier, Northern Essex Community College; Linda A. Desjardins, Northern Essex Community College; Lori Heymans, Northern Essex Community College

Tagged Divisions

Mathematics

open-endedresponses from an SI Leader.The paper includes a discussion of the diffusion and expansion of the SI model to other coursesat the community college along with the attendant problems and solutions and concludes with alook ahead.IntroductionNorthern Essex Community College (NECC) is one of fifteen state-supported communitycolleges in Massachusetts. NECC offers comprehensive academic programs of study leading tothe Associate in Arts degree, the Associate in Science degree and Certificates of programcompletion. Students achieve the skills required to successfully transfer to a baccalaureateprogram at a four year institute, or become an integral part of the highly skilled Massachusettswork force.The NECC student body is a complex group

Conference Session

Computers and Software in Teaching Mathmatics

Collection

2011 ASEE Annual Conference & Exposition

Authors

Lin Li, Prairie View A&M University; Yonggao Yang, Prairie View A&M University

Tagged Divisions

Mathematics

started a project two years ago to renovate themathematics curriculum. In our scheme, we develop an entertaining teaching environment usinggaming and virtual reality technologies to stimulate student interests and enhance their learningeffectiveness. By converting abstract concepts into vivid animation and providing game-likeinteractivities, the teaching environment possesses the unique features12,13,14 that traditionalclassroom teaching does not have: first, it helps learners understand complex and non-intuitivesubjects. Students often have difficulty in comprehending abstract concepts andmultidimensional phenomena. Mastery of these concepts requires students to build mentalmodels that incorporate invisible factors15,16. The virtual learning

Conference Session

Students' Abilities and Attitudes

Collection

2011 ASEE Annual Conference & Exposition

Authors

Kristi J Shryock, Texas A&M University; arun r srinivasa, Department of Mechanical Engineering, Texas A&M University; Jefferey E. Froyd, Texas A&M University

Tagged Divisions

Mathematics

their undergraduate engineering curricula, and extensively shared their results with the engineering education community. He co-created the Integrated, First-Year Curriculum in Science, Engineering and Mathematics at Rose-Hulman Institute of Technology, which was recognized in 1997 with a Hesburgh Award Certificate of Excellence. He has authored or co-authored over 70 papers on engineering education in areas ranging from curricular change to faculty development. He is collaborating on NSF-supported projects for (i) renewal of the mechanics of materials course, (ii) improving preparation of students for Calculus I, (iii) systemic application of concept inventories. He is currently an ABET Program Evaluator and a

Conference Session

Students' Abilities and Attitudes

Collection

2011 ASEE Annual Conference & Exposition

Authors

Kendrick T. Aung, Lamar University

Tagged Divisions

Mathematics

week) Analytical and numerical solutions of partial differential equations (4 weeks) Vector calculus and Vector Integral Theorems (3 weeks) Statistics and Probability (4 weeks) Introduction to optimization (1 week)The rationale for choosing these topics is discussed here. The first two topics arediscussed in the course because they are prerequisite to the major topic of the course,partial differential equations. However, their coverage is limited to four lecture sessionsas it is intended to be an overview rather than an in-depth discussion of the differentialequations (DEs). Laplace Transform method of solving DEs is not covered as it iscovered in details in the other core course, Control of Mechanical Systems. Fourier

Conference Session

Students' Abilities and Attitudes

Collection

2011 ASEE Annual Conference & Exposition

Authors

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

Tagged Divisions

Mathematics

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

Conference Session

Engineering Mathematical Potpourri

Collection

2011 ASEE Annual Conference & Exposition

Authors

Jean Hodges, Virginia Commonwealth University, Qatar

Tagged Divisions

Mathematics

, curriculum theorists, instructional researchers, and specialists in testing and assessment led by Lorin Anderson, one of Bloom‟s former students, published an updated version of Bloom’s Taxonomy. The revised version modified terminology, structure, and emphasis of the original taxonomy (see Figure 1) to provide “ „a clear