AC 2009-1803: INTEGRATION OF ASSESSMENT AND CURRICULUM INENGINEERING, MATHEMATICS, AND PHYSICAL-SCIENCE PROGRAMSEduardo Chappa, Texas A&M International University Dr. Chappa is an Assistant Professor of Mathematics at Texas A&M International Unversity (TAMIU). He received his B.S. and M.S. degree in Mathematics from Pontificia Universidad Catolica de Chile in 1990 and 1993 respectively. Dr. Chappa received his Ph.D. from University of Washington in 2002. Dr. Chappa was a visiting assistant professor at Texas A&M University before joining TAMIU, and is a member of the AMS.Terutake Abe, Texas A&M International University Dr. Abe is an Assistant Professor of Mathematics at Texas A&
Education at East Carolina University. Having earned his PhD at the University of Connecticut, he continues to research and publish in various areas of mathematics education including: learning and cognition, pedagogy, technology, distance education, integration and curriculum. Page 14.187.1© American Society for Engineering Education, 2009 An Examination of Engineering Mathematics CoursesIntroductionThere are many alternatives to deliver the mathematics content required for engineeringaccreditation and career success. These alternatives include four credit hour calculus courses,three credit calculus
and includedapplications to the life sciences. The mathematics faculty felt that a similar tailoring of coursescould be done for engineering students.Members of the mathematics undergraduate committee met with a group of engineering facultyto talk about the possibility of designing a sequence of calculus courses specifically forengineering students. In the initial engineering curriculum, Precalculus was included1. At theadvice of an outside reviewer familiar with ABET standards, the curriculum was modified duringthe fall 2006 semester. Precalculus was removed from the engineering curriculum and CalculusIII was added. Due to the number of required engineering credit hours in the curriculum and thenumber available for math and science credit
the Preparationfor Calculus curriculum was deployed in an unproctored environment at two universities. Thisstrategy consisted of requiring benchmark assessment scores in the curriculum that is offered inan online environment through the ALEKS Corporation. Students were highly motivated tocomply with the assessment requirement because 10% of their grade was based on theirachievement of the benchmark assessment level set for their course. These levels were 40% forPrecalculus and 70% for Calculus. Each university paid for one assessment for the students, andstudents were allowed to re-assess as many times as they wished. Analysis of the data fromBoise State University yields the conclusion that the addition of ALEKS assessment as a
learningcommunity ([36]).EXCEL is offering an integrated curriculum through the teaching of the EXCEL Calculus I andCalculus II courses and the related Applications of Calculus I and II classes.3. EXCEL Management StructureEXCEL has recruited 565 students in the EXCEL program (187 students in the fall 06 and 175students in the fall 07, and 203 in the fall of 2008). Starting with the UCF Provost at UCF, wecurrently have 25 UCF administrators, UCF faculty and UCF staff that have been activelyinvolved with the EXCEL program at UCF, involving 11 UCF offices. Furthermore, 17 UCFSTEM faculty members from 10 different Departments have been involved in the creationand delivery of the Applications of Calculus I and II courses to EXCEL students. Finally,EXCEL has
students aresupposed to be learning.While some of the equipment used does take some skill to build, none of the equipment used inthese demonstrations is expensive. As the reader will see most of the equipment is made from“junk” that is lying around ones house, office, or can be borrowed from another department atyour institution.We will try to organize the demonstrations in an order that a student might encounter the topicsin a standard mathematics curriculum at an institution where engineering is taught.DemonstrationsA. The cycloid curveThe first demonstration we will consider can be used in any calculus class where parametricequations are taught. This is a classical cycloid curve. To generate the curve we use a circularpiece of wood in which
14.711.4Using a program such as ALEKS as homework in lieu of a series of written homeworkassignments can also reduce the load on the instructors, allowing them to spend more time onother responsibilities such as curriculum improvement, student advising, and professionaldevelopment. Therefore, it is important to investigate whether an e-learning program such asALEKS is more effective than, or at least as effective as, traditional pencil and paper homeworkassignment on helping students improve Math skills.Relationship between Learning Styles and Academic PerformanceIndividual students in the same classroom may have different learning experiences due to theircharacteristics such as learning styles. For example, some students may learn information in
AC 2009-115: WRITING TECHNIQUES FOR IMPLEMENTINGPROJECT-DIRECTED MATHEMATICSJohn Schmeelk, Virginia Commonwealth University Qatar Branch John Schmeelk, Virginia Commonwealth University, Qatar Branch Campus Dr. John Schmeelk is a Professor of Mathematics at Virginia Commonwealth University, Doha Qatar Branch, where he is engaged in applied mathematics, generalized functions, image processing and educational pedagogy. He received his PhD from George Washington University in Washington, D.C. He was awarded many summer faculty grants to go to Fort Rucker, Alabama implementing procedures utilizing generalized functions. He has been an invited speaker to conferences in Australia
learning.Marion Usselman, Georgia Institute of Technology Marion Usselman, Georgia Institute of Technology Dr. Marion C. Usselman is a Senior Research Scientist at the Center for Education Integrating Science, Mathematics and Computing (CEISMC) at the Georgia Institute of Technology. Marion received her B.A. in biophysics from the University of California, San Diego, and her Ph.D. in biophysics from Johns Hopkins University. She focuses on K-12 educational reform, university-K-12 partnerships, and equity issues in education.Thomas Morley, Georgia Institute of Technology Thomas Morley, Georgia Institute of Technology Dr. Morley, is a CEISMC Professor of Mathematics at Georgia Tech
AC 2009-700: VISUAL ANALYSIS AND THE COMPOSITION OF FUNCTIONSAndrew Grossfield, Vaughn College of Aeronautics Throughout his career Dr. Grossfield has combined an interest in engineering design and mathematics. He studied Electrical Engineering at the City College of New York, graduating with a BSEE. During the sixties, he attended the NYU Courant Institute at night, obtaining an M.S. degree in mathematics, while designing circuitry full time during the day for aerospace/avionics companies. He earned his doctorate studying Continuum Mechanics under the direction of L. M. Milne-Thomson, CBE at The University of Arizona. He is a member of ASEE, IEEE, and MAA. Grossfield@IEEE.org is his email