Conference Session

Integrating Math, Science, & Engineering

Collection

2006 Annual Conference & Exposition

Authors

Leslie Keiser, University of Tulsa; William Hamill, University of Tulsa; Bryan Tapp, University of Tulsa; William Potter, University of Tulsa; Jerry McCoy, University of Tulsa; Peter LoPresti, University of Tulsa; Donna Farrior, University of Tulsa; Shirley Pomeranz, University of Tulsa

Tagged Divisions

Mathematics

Figure 4. Comparison of Conceptions of Mathematics Inventory (CMI) Results. CMI given at start of fall 2004 Calculus I and at end of spring 2005 Calculus II. Data collected for 48 students who took both fall 2004 and spring 2005 CMI . AVERAGE VALUES. 1 2 3 4 5 6 I . N a tu r e o f M a th e m a tic a l K n o w le d g e 1 . C o m p o s itio n o f M a th e m a tic a l F a ll: 3 .8 7 S p r i n g : 3 .7 2 K n o w le d g e K n o w l e d g e a s f a c t s , f o r m u l a s, a n d

Conference Session

Use of Technology in Teaching Mathematics

Collection

2006 Annual Conference & Exposition

Authors

Arthur Snider, University of South Florida; Sami Kadamani, Hillsborough Community College

Tagged Divisions

Mathematics

( x, 0 ) = 0, ( x, Y ) = f y =Y ( x, t ) ∂y ∂yWith Fint erior ( x, y; s ) and Fy =Y ( x; s ) denoting the Laplace transforms of f int erior ( x, y, t ) and f y =Y ( x, t ) , respectively, USFKAD expresses the Laplace-transformed solution asΨ = Ψ1 + Ψ 2Ψ1 = ∑ κ sin κ x x cosh κ x2 + sy A ( s; κ x ) x Page 11.188.7 π 2π 3πwith κx = , , ,... X X X 2A ( s; κ x ) = ∫ 0X dx sin κ x x M

Conference Session

Improving the Mathematical Preparation of Students

Collection

2006 Annual Conference & Exposition

Authors

Elton Graves, Rose-Hulman Institute of Technology

Tagged Divisions

Mathematics

school with advanced placement credits in mathematics to take additional mathematicscourses beyond the courses required for their major.Creating courses and tracts of interestOver the past few years the Rose-Hulman Mathematics Department has made several changes toencourage students to take upper level mathematics courses. One of the major changes was tochange the courses required to get a degree in mathematics. Until the late 1900’s Rose had onlyone tract for a degree or major in mathematics. We have now split this into four different tracts.Our first tract is for the traditional mathematics major who wants to go to graduate school andearn and masters degree or doctorate in mathematics. This tract is not a tract that would interestmost

Conference Session

Integrating Math, Science, & Engineering

Collection

2006 Annual Conference & Exposition

Authors

Stephen Pennell, University of Massachusetts-Lowell; Peter Avitabile, University of Massachusetts-Lowell; John White, University of Massachusetts-Lowell

Tagged Divisions

Mathematics

. Taking thetransform of both sides of equation (2) and solving for the transform of x(t), we obtain X ( s ) = W ( s ) F ( s ) + W ( s )  mx′ ( 0 ) + ( ms + c ) x ( 0 )  (3)Here X(s) denotes the transform of the response x(t), F(s) denotes the transform of the input f(t), 1and W ( s ) = 2 denotes the so-called transfer function. Clearly, W(s) depends only on ms + cs + kthe system parameters, F(s) depends only on the input, and the term in brackets depends on thesystem parameters and the initial state of the system. Thus, the representation of the systemresponse given by equation (3) makes it easy to distinguish between the effects of systemparameters, input, and initial

Conference Session

Improving the Mathematical Preparation of Students

Collection

2006 Annual Conference & Exposition

Authors

Shuki Aroshas, Technion-Israel Institute of Technology; Igor Verner, Technion-Israel Institute of Technology; Avi Berman, Technion - Israel Institute of Technology

Tagged Divisions

Mathematics

://www.pisa.oecd.org/dataoecd/46/14/33694881.pdf3. Blum, W., "ICMI Study 14: Applications and Modeling in Mathematics Education – Discussion Document", Educational Studies in Mathematics, Vol. 51, 2002, pp. 149-171.4. Crowther, K., Thomson, D., and Cullingford, C., "Engineering Degree Students Deficient in Mathematical Expertise – Why?", International Journal of Mathematics Education in Science and Technology, Vol. 28, 1997, pp. 785-792.5. Gravemeijer, K., and Doorman, M. "Context Problems in Realistic Mathematics Education: A Calculus Course as an Example", Educational Studies in Mathematics, Vol. 39, 1999, pp. 111-129.6. Verner, I., and Maor, S., "Integrating Design Problems in Mathematics Curriculum: An Architecture

Conference Session

Integrating Math, Science, & Engineering

Collection

2006 Annual Conference & Exposition

Authors

Sarah Maor, Technion-Israel Institute of Technology; Igor Verner, Technion-Israel Institute of Technology

Tagged Divisions

Mathematics

. Gilbert, H., 1999, Architect – engineer relationships: overlappings and interactions, Architectural Science Review, 42, 107-110.3. Unwin, S., 1997, Analyzing Architecture (London: Routledge).4. Burt, M. (1996). The Periodic Table of The Polyhedral Universe. Haifa: Technion – Israel Institute of Technology.5. Luhur, S., 1999, "Math, logic, and symmetry: construction, architecture and mathematics". Available online at: http://www.sckans.edu/math/paper3.html (accessed 19 December 2005).6. Williams, K., 1998, "Relationships between Architecture and Mathematics". Available online at: http://www.leonet.It/culture/nexus/98/KimWilliamsintro.html (accessed 19 December 2005).7. Gravemeijer, K. and Doormen, M., 1999, "Context Problems in

Conference Session

Innovative Instruction Strategies

Collection

2006 Annual Conference & Exposition

Authors

John Schmeelk, Virginia Commonwealth University

Tagged Divisions

Mathematics

Intelligence, 22, (1984), 235-267. 3. Ballard, D. H. & Brown, C.M., Computer Vision, Prentice Hall, N.J., (1982). 4. Batchelor, B.G., Pattern Recognition, Plenum Press, N.Y., (1978). 5. Campbell, F.W., & Robson, J.G., Application of Fourier Analysis to the Visibility of Gratings, J. Physiol. 197, (1968), 551-566. 6. Gonzalez, R.C., & Wintz, P., Digital Image Processing, Addison-Wesley Publ. Co., MA. (1987). 7. Jain, A., K., Fundamentals of Digital Image Processing, Prentice Hall, NJ, (1989) 8. Lim, J., S., Two-Dimensional Signal and Image Processing, Prentice Hall, NJ, (1990). 9. Nagy, G., State of the Art in Pattern Recognition, Proc. IEEE, 56, (1968), 836-862. 10. Pedrycz, W., Fuzzy Sets in Pattern

Conference Session

Use of Technology in Teaching Mathematics

Collection

2006 Annual Conference & Exposition

Authors

Peter Avitabile, University of Massachusetts-Lowell; Jeffrey Hodgkins, University of Massachusetts-Lowell; Tracy Van Zandt, University of Massachusetts-Lowell

Tagged Divisions

Mathematics

”, Grossman, New York, 1973.4 Vygotsky,L., “Mind in Society: The Development of Higher Psychological Processes”, Harvard University Press, MA, 1978.5 Starrett,S., Morcos,M., “Hands-On, Minds-On Electric Power Education”, Journal of Engineering Education, Vol 90, No. 1, pp93-100, January 20016 Felder,R., Peretti,S., “A Learning Theory-Based Approach to the Undergraduate Laboratory”, ASEE Conference Proceedings, Session 2413 , June 19987 Pavelich,M.J., “Integrating Piaget’s Principles of Intellectual Growth into the Engineering Classroom”, Proceedings of the ASEE Annual Conference, pp719-722, 1984, Wash, DC8 Dale,E., “Audio-Visual Methods in Teaching”, 3rd Edition, Holt, Rinehart, and Winston, 19699 Wolkson,A

Conference Session

Use of Technology in Teaching Mathematics

Collection

2006 Annual Conference & Exposition

Authors

Paul Wlodkowski, Maine Maritime Academy

Tagged Divisions

Mathematics

Engineering”, IEEE Transaction on Education,Vol. 48, No. 1., Febuary 2005.2 Brannan, K. and J. Murden, “From C++ to Mathcad: Teaching an Introductory Programming Course witha Non-Traditional Programming Language”, Proceedings of the American Society of EngineeringEducation, Session 1253, 1998.3 G. Fowles, Analytical Mechanics, 4th ed., Philadelphia: Saunders College Publishing. 1986.4 P. J. Pritchard, MATHCAD A Tool for Engineering Problem Solving, Boston: McGraw Hill. 1998.5 Rao, S. Applied Numerical Methods for Engineers and Scientists, Upper Saddle River, NJ: Prentice-Hall.2002. Page 11.1216.8

Conference Session

Mathematics in Transition

Collection

2006 Annual Conference & Exposition

Authors

Josue Njock-Libii, Indiana University-Purdue University Fort Wayne

Tagged Divisions

Mathematics

the Motion of Pendulums,” Cambridge Philosophical Transactions, IX, 8, 1851. 2. Fox, Robert W., McDonald, Alan T., and Pritchard, Philip J., Introduction to Fluid Mechanics, sixth edition, John Wiley & Sons, Inc, 2004. 433- 447. 3. Zhang S. and Jin, J. Computation of Special Functions, John Wiley & Sons, New York, 1996. 4. Carlson, B. C. Special Functions of Applied Mathematics, Academic Press, New York, 1977. 5. Temme, N. M. Special Functions, John Wiley, New York, 1996 6. Knacke, T. W. Parachute Recovery Systems and Design Manual 7. Richard Nakka’s Experimental rocketry website, http://members.aol.com/ricnakk/paracon.html 8. http://en.wikipedia.org/wiki/Apollo_15,_Return_to_Earth 9. http

Conference Session

Mathematics in Transition

Collection

2006 Annual Conference & Exposition

Authors

Bella Klass-Tsirulnikov, Sami Shamoon College of Engineering (formerly Negev Academic College of; Sharlene Katz, California State University-Northridge

Tagged Divisions

Mathematics

is a coherent rigorous verbal framework specifying aconcept. A discussion of the conflicts between the infinities of everyday experience and formalinfinities based on axioms can be found in reference 12.The interesting conversations13 of a knowledgeable father with his six-year old son, Nic, providean insight on how a child's intuition builds an image of the concept of infinity. In the beginningof the conversations Nic imagines infinity as a very huge number, much bigger than 10, biggerthan a million, probably bigger than a "googol" (1 followed by a hundred 0's). Nic's infinity canbe operated on like any other number in arithmetic ("infinity" + "infinity" = "two infinity", andthere is "half infinity" as well). Nic also invents a number