Conference Session

Engineering and Math Potpouri

Collection

2008 Annual Conference & Exposition

Authors

John Schmeelk, Virginia Commonwealth University; Jean Hodges, VCU\Qatar Campus

Tagged Divisions

Mathematics

expand upon rotations, reflections, andtranslations. In addition, the course begins with mathematical formulas that speak to the issue ofgeometric shapes, followed by an intense development of the Fibonacci sequence and several of Page 13.1184.3its properties illustrating the utility of the sequence in the “real world.” In the current study,students were shown some past student projects submitted as partial fulfillment in the previousMATH 131 courses to introduce each new topic visually and were required to complete a muchmore comprehensive project component (hence the term Implementing Techniques for Project-Directed Mathematics). The students

Conference Session

Integrating Math, Science and Engineering

Collection

2008 Annual Conference & Exposition

Authors

Hong Liu, Embry-Riddle Aeronautical University, Daytona Beach

Tagged Divisions

Mathematics

1. 7. Methodology Project requirements and 1 The ninth week Honors 5, 6 assignment Stella tutorial 2 The 10th-11th week Honors 2, 3 Modeling systems and higher 2 The 11th week All 1, 4. 7. order equations Page 13.939.4 Final Presentation 2 End of the course Honors All objectivesTable 1In the first lecture on MMM, the deviations between models and application problems, and theerrors of numerical solutions are introduced. Students learn the basic concepts of validation andverification. Validation checks whether the model reflects the

Conference Session

Integrating Math, Science and Engineering

Collection

2008 Annual Conference & Exposition

Authors

Gregg Janowski, University of Alabama at Birmingham; Melinda Lalor, University of Alabama at Birmingham; Hassan Moore, University of Alabama at Birmingham

Tagged Divisions

Mathematics

to changing technologies and constraints1. Ted Kennedy, a founder of BE&K, amajor engineering, construction corporation, emphasized the importance of these same problemsolving skills during his keynote address to the Engineering Council of Birmingham in 2007. Hestressed the importance of learning mathematics in an engineering context rather than inisolation, stating that applying mathematics to solve complex engineering problems is anessential, and often missing, skill for young engineers. These same expectations are reflected inthe engineering accreditation process which seeks to place engineering problem-solving anddesign earlier in curricula. Consequently, students must apply their mathematics and basicscience skills sooner within the

Conference Session

Innovative Instructional Strategies

Collection

2008 Annual Conference & Exposition

Authors

Martha Allen, Georgia College & State University; Amy Kelley, Georgia College & State University

Tagged Divisions

Mathematics

away from theory. In developing the modified lecture with activities format, the authors triedto choose assignments and divide class time to reflect the needs of the students. Currently, themodified lecture with activities format contains elements of traditional lecture, IBL and PBL. Page 13.284.7The authors are continually seeking ways to improve the modified lecture with activities format.The challenge for improvement rests in the desired outcomes for this particular linear algebracourse. The pre-engineering majors need computational skills as well as the ability to know whento apply linear algebra techniques. In essence, linear algebra

Conference Session

The Use of Computers in Teaching Mathematics

Collection

2008 Annual Conference & Exposition

Authors

Jayathi Raghavan, Embry-Riddle Aeronautical University, Daytona Beach; Leslie Sena, Bethune Cookman College; Hong Liu, Embry-Riddle Aeronautical University, Daytona Beach; David Bethelmy, Bethune Cookman College

Tagged Divisions

Mathematics

) motivating students in the applications of themathematical concepts that reflect realistic problems in their prospective engineering careers, 2)integrating these complicated applications into the tight schedule of engineering courses, 3)leveraging the overwhelming complexity so that the students are not intimidated, and 4)compensating for the lack of physical models required in most engineering applications Theauthors considered these challenges in the development of modules and agreed that a frameworkfor module development was required. The authors began preliminary research to develop sucha framework centered on the concept of abstraction.The authors began by exploring resources developed by other colleagues, reviewing the existingdigital library

Conference Session

The Use of Computers in Teaching Mathematics

Collection

2008 Annual Conference & Exposition

Authors

Janet Callahan, Boise State University; Seung Youn Chyung, Boise State University; Joanna Guild, Boise State University; William Clement, Boise State University; Joe Guarino, Boise State University; Doug Bullock, Boise State University; Cheryl Schrader, Boise State University

Tagged Divisions

Mathematics

State University and a B.A. in Mathematics from Kenyon College.William Clement, Boise State University William P. Clement is Associate Research Professor at the Center for Geophysical Investigation of the Shallow Subsurface at Boise State University. His research interests include using near-surface geophysical methods such as Ground Penetrating Radar reflection data and cross-hole GPR tomography to better understand processes in the shallow subsurface.Joe Guarino, Boise State University Joe Guarino is a Professor in the Mechanical and Biomedical Engineering Department at Boise State University. His research interests include simulation modeling for engineering education, vibrations

Conference Session

Engineering and Math Potpouri

Collection

2008 Annual Conference & Exposition

Authors

Jeffrey Fong, National Institute of Standards and Technology; James Filliben, National Institute of Standards and Technology; Alan Heckert, National Institute of Standards and Technology; Roland deWit, National Institute of Standards and Technology

Tagged Divisions

Mathematics

) has been the leader in the development of fundamental concepts and terminology for V&V. "... Of the work conducted by DMSO24,25 , Cohen28 observed : 'Given the critical importance of model validation ... , it is surprising that the constituent parts are not provided in the DOD directive 24 concerning validation. A statistical perspective is almost entirely missing in these directives.' We believe this observation properly reflects the state of the art in V&V, not just the directives of DMSO. That is, the state of the art has not developed to the place where one can clearly point out all of the actual methods, procedures, and process steps that must be undertaken