Education, 2007 Integration of Engineering Concepts in Freshman Calculus1. Introduction Traditionally, basic sciences, physics and chemistry, and mathematics arerequired as core subjects for engineering education and have been taught independentlyby faculty members from mathematics and basic sciences. The National ScienceFoundation has awarded several projects to study mathematics and science educationnationally. One of the awards is to the Center for Research on Education in Science,Mathematics, Engineering and Technology (CRESMET) at Arizona State University toinvestigate how best to support integrate instruction of mathematics, science, andengineering design. This investigation is an ongoing project at CRESMET and thedisseminated
their first two years, students often fail to make connections between related concepts intheir calculus and introductory science courses. This disconnect early in their curriculum canhamper engineering majors in their ability to understand how these courses relate to theirdiscipline and can serve as a “turn-off” for students who fail to engage in these courses. Here wepresent how we have tried to address this problem by integrating basic calculus concepts into theintroductory freshman and sophomore biology, chemistry and physics science laboratory courses.In this paper, we will feature a biology laboratory experiment where students examine a growthcurve for algae, a chemistry lab involving an instantaneous rate calculation for a rocket launch
AC 2007-2014: A MODEL FOR VERTICAL INTEGRATION OF REAL-WORLDPROBLEMS IN MATHEMATICSDennis Berkey, Worcester Polytechnic Institute Dennis Berkey became the fifteenth president of Worcester Polytechnic Institute on July 1, 2004. Prior to that he had served as Provost and Dean of Arts and Sciences at Boston University where he had joined the faculty in 1974. His undergraduate and graduate degrees are in mathematics (B.A., Muskingum College; Ph.D., University of Cincinnati) and his published research is in applied mathematics and optimal control theory. He is an accomplished teacher, having won Boston University’s highest teaching award, and is the author of two calculus textbooks
development. Her R&D activities comprise design of signal processing and data analysis methods, modelling, simulation and control of automotive systems as well as Engineering Education.Annette Casey, Joanneum University of Applied Sciences, Department of Automotive Engineering,Graz, Austria Annette Casey is an English language trainer in the Department of Automotive Engineering, Joanneum University of Applied Sciences. She graduated from Dublin City University with a degree in Applied Languages (Translation and Interpreting) in 1991. She has been teaching business and technical English both in industry and at university level in Austria for the past 12 years.Domagoj Rubesa, Joanneum
based methods such as difference methods andfinite element methods have been developed to approximate differential equations. Suchsolutions, even if the exact differential equations are known, generate only an approximatesolution. And in the case of finite element analyses, the solutions are not conservative.In engineering practice, number crunching has become routine. However, solutions aregenerated and constantly modified to meet unforeseen changes. After the solution has beencalculated, modifying it is often done at considerable time and expense depending on thecomplexity of the problem and the dependency of the variable to other related system variables.It would be beneficial to teach engineers to develop general solutions which can be
AC 2007-557: IMPACTING INSTRUCTIONAL PRACTICE THROUGH THEIMPLEMENTATION OF AN INQUIRY-BASED ELEMENTARY MATHEMATICSPROGRAM: A SINGLE-SITE COLLECTIVE CASE STUDYSandra Linder, Math Out of the Box Sandra Linder is a graduate student at Clemson University working on her PhD in Curriculum and Instruction. Her research focuses on the pedegogical practices of early childhood and elementary educators.Donna Gunderson, Math Out of the Box/Clemson University Donna Gunderson is currently a research associate and curriculum developer at Clemson University for Math Out of the Box, a standards-based K-5 math curriculum
AC 2007-58: PREDICTING STUDENT SUCCESS IN CALCULUSJenna Carpenter, Louisiana Tech University Jenna P. Carpenter is Director of Chemical and Industrial Engineering and Wayne and Juanita Spinks Professor of Mathematics at Louisiana Tech University. She was co-developer of the mathematics sequence for NSF-funded integrated engineering curriculum at Tech and currently leads an NSF-funded effort to develop an integrated science curriculum for math, science and education majors. She received her B.S. in Mathematics from Louisiana Tech University. Her M.S. and Ph.D. in Mathematics are from Louisiana State University, where she was an LSU Alumni Federation Fellow.Ruth Ellen Hanna, Louisiana Tech
Professor in the Mechanical and Biomedical Engineering Department at Boise State University. His research interests include simulation modeling for engineering education, vibrations, and acoustics.Seung Youn Chyung, Boise State University Dr. Yonnie Chyung is an Associate Professor in the Department of Instructional and Performance Technology at Boise State University. She received her Doctor of Education degree in Instructional Technology from Texas Tech University, and her Master’s degree in Curriculum and Instruction, with a specialization in Computer-based Education, from Southern Illinois University, Carbondale, IL. Her research interests have been focused on the development of self
scaffolds.Lee Meadows, University of Alabama Birmingham Dr. Meadows is a science educator employed as an Associate Professor in the Department of Curriculum and Instruction at the University of Alabama at Birmingham. His work focuses on teaching and on science education reform. He serves as the director for Alabama LASER (Leadership Assistance for Science Education Reform). Dr. Meadows is a participant in the Greater Birmingham Mathematics Partnership which focuses on improving mathematics instruction in middle school classrooms. Page 12.617.1© American Society for Engineering Education, 2007
what you expect to gain by taking this course.At mid-semester and again at semester’s end, the students will be re-evaluating their answersbased on their performance.ConclusionAs stated in the curriculum guidelines of both ABET and the CUPM, engineering and Page 12.598.12mathematics students must have mathematical knowledge, the ability to work effectively ingroups, and the ability to communicate effectively. These skills are necessary for the students tobe successful in the workplace. In an effort to meet these challenges, we have described in thispaper the integration of communication and teamwork into our introductory calculus courses
the 2001 ASEE Annual Conference. Page 12.1557.143. Buechler, Dale. "Mathematical Background versus Success in Electrical Engineering," Proceedings of the 2004 ASEE Annual Conference.4. Carpenter, Jenna; and Schroeder, Bernd S. W. "Mathematical Support for an Integrated Engineering Curriculum", Proceedings of the 1999 ASEE Annual Conference.5. Buechler, Dale, and Papadopoulus, Chris. "Initial Results from a Math Centered Engineering Applications Course", Proceedings of the 2006 ASEE Annual Conference.6. Douglas Josh, Iversen Eric, and Kaliyandurg Chitra. "Engineering in the K-12 Classroom: an Analysis of
curriculum for design students in both VCUR and VCUQ, one general educationrequirement for all students is a contemporary mathematics course (MATH 131). Tailoring thiscourse to fit the unique needs and interests of VCUQ majors became a unique and excitingchallenge that gave rise to the authors’ 2006 study entitled, “Making Connections AmongCulture, Personality, and Content in Analytical Courses,” which was presented at the March Page 12.1199.22006 Conference of Middle Eastern Teachers of Science, Mathematics, and Computing.In their previous study, the authors relied upon the work of Ricki Linksman, an expert inaccelerated learning who founded the