that faculty now faced students,many instructors feel their interaction with students during problem solving is vastly improved.From the student survey results, it was clear most students preferred faculty use of tablets andDyKnow to traditional chalkboard based lectures. Students and faculty both reported likingTablet PCs but there was insufficient data to support general conclusions about their impact onteaching and learning. An initial comparison of grades from the first year DyKnow and TabletPCs were used to the previous year showed the distribution of A and B grades to very similar.This is probably to be expected, as it would not be expect that measurable change in the moretalented students’ grades would occur. What instructors found
Mailman and board chair Beth Kennedy for supporting thestudy. A special thank you to PedGames server administrator Hao Xu and to all of the PedGamesstudent programmers for their creativity, dedication and hard work.Bibliography1. Shaw, S., Boehm, Z., Penwala, H., and Kim, J., GameMath! Embedding Secondary Mathematics into a Game- Making Curriculum Proceedings of the American Society of Engineering Education, 2012.2. van der Meulen, R. and Rivera, J. (2013) Gartner press release. Online at http://www.gartner.com/newsroom/id/2614915.3. Moskal, B. and Skokan, C. (2007). An innovative approach for attracting students to computing: A comprehensive proposal. Online at http://www.nsf.gov/awardsearch
. Page 24.35.6 Distribution of Grades A B C D F Withdraw/Incomplete Traditional Calculus 1, Non-Engineering Students 39 58 108 42 99 26 Traditional Calculus 1, Engineering Students 9 29 54 23 223 Engineering Calculus 1 8 14 11 7 8 1 Traditional Calculus 2, Non-Engineering Students 36 53 95 46 82 24 Traditional Calculus 2, Engineering Students 16 29 36 25 59 7
currently being addressed by an engineering service group at Ohio NorthernUniversity. In fact, many outreaches by this service group can become a centerpiece fordiscussion of engineering, science, and mathematics concepts in a realistic context. With anappropriate introduction to water purification, students can be asked to: Draw a model of the water purification system. Use Bernoulli's Principle in context. o Consider two points: one at the collection point (A) and one at an arbitrary fountain (B). Bernoulli's principle relates the water pressure (p), gravitational velocity (g), velocity (v), density ( ) and height above some reference height (z). According to Bernoulli, these quantities will stay constant
champion. The students are then asked to take the probability of each seed becomingchampion and compute the expected number of the 143 school brackets to have selected thatseed (i.e., E[no. brackets] = 143 * pi). A normalized prediction error between these two values, a Page 24.930.6and b, is computed usingδi = (a-b)2/b, for each i = 1,2,…,16 seed. Table 1: Student Body Predictions National Number of Student Expected Number Prediction Champion Selections, a of Brackets, b Error, δi 1 seed 78 72.8
, Carmen M. Math Wars A Guide for Parents and Teachers, Rowen and Littlefield Education, 2005.[4] Pierce, C. E., Gassman, S.L., Huffman, J.T. “Environments for fostering effective critical thinking ingeotechnical engineering education (Geo-EFFECTs)” European Journal of Engineering Education, 3(3), 281–299,2013.[5] Wiggins, G. and McTighe, J. Understanding by Design 2nd Edition. Association for Supervision and CurriculumDevelopment.[6] Anderson, L.W., Krathwohl, D. R., Eds. A Taxonomy for Learning, Teaching, and Assessing: A Revision ofBloom’s Taxonomy of Educational Objectives, Longman, N.Y., 2001. [7] Caicedo, J.M., Pierce, C.E., Flora, J.R.V., Timmerman, B., Nichols, A.P., Graf, W. and Ray, “EngagingStudents in Critical Thinking: An
" (in German), Mathematische Annalen 100 (1), pp. 32- 74, 1928]9. J. von Neumann, "Theory of self-reproducing automata", edited by A. W. Burks, University of Illinois Press, Urbana, 196610. S. Ulam, "Some ideas and prospects in biomathematics", Ann. Rev. Bio. 12, pp. 255-257, 197411. S. Wolfram, “Statistical mechanics of cellular automata”, Rev. Mod. Phys. 55 (3), pp. 601-644, 1983 Page 24.904.1412. J. Hardy, Y. Pomeau, and O. de Pazzis, "Time evolution of a two-dimensional model system: Invariant states and time correlation functions", J. Math. Phys. 14, pp. 1746-1759, 197313. U. Frisch, B. Hasslacher, and Y. Pomeau
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equations in modelling contexts. International Journal of Mathematics Education in Science and Technology, 35, 503 – 516.8. Roble, A., Tague, J., Czocher, J., & Baker, G. Pencasts as Exemplars of Mathematical Modelling for Engineering Students. Proceedings of the International Conference on Engineering Education, Marrakesh, Morocco, 2013.9. Tague, J., Czocher, J., Baker, G., & Roble, A. Choosing and Adapting Technology in a Mathematics Course for Engineers. Proceedings of the American Society for Engineering Education, Atlanta, GA, 2013.10. Ärlebäck, J. B., Doerr, H. M., & O’Neil, A. H. (2013). A modeling perspective of interpreting rates of change in context. Mathematical Thinking and Learning, 15, 314- 336.11