Filling a container: Modeling and simulation from basic concepts related to Engineering
Abstract
The behavior of a container filled with two fluids, honey and lubricant, is characterized. Initially, we will describe the variables qualitatively and proceed to experimentation recording the measurements. Subsequently, the data analysis is performed and through the characterization of the variables the relationships between the parameters are determined, and a model adjusted to the results obtained is constructed. From the experimentation, and according to the model associated with it, the simulation of the event is constructed through Geogebra, and the process is repeated with each of the transformations of the event for its analysis and comparison. The results can be used as an ideal educational tool for the integration of areas of basic knowledge related to engineering.
References
Acofi (2007). El ingeniero colombiano del 2020: Retos para su formación. Bogotá: Acofi.
Carlson, M. P., Jacobs, S., Coe, E., Larsen, S., & Hsu, E. (2002). Applying covariational reasoning while modeling dynamic events: A framework and a study. Journal for Research in Mathematics Education, 33(5), 352-378. DOI: https://doi.org/10.2307/4149958
Clement, J. (1989). The concept of variation and misconceptions in Cartesian graphing. Focus on Learning Problems in Mathematics, 11(1-2), 77-87.
Confrey, J., & Smith, E. (1994). Exponential functions, rates of change, and the multiplicative unit. Educational Studies in Mathematics, 26, 135-164. DOI: https://doi.org/10.1007/BF01273661
Jhonson, H. L. (2012). Reasoning about variation in the intensity of change in covarying quantities involved in rate of change. Journal of Mathematical Behavior, 31, 313-330. DOI: https://doi.org/10.1016/j.jmathb.2012.01.001
Johnson, H. L. (2013). Reasoning about quantities that change together. The Mathematics Teacher, 106(9), 704-708. DOI: https://doi.org/10.5951/mathteacher.106.9.0704
Johnson, H. L. (2015). Together yet separate: Students’ associating amounts of change in quantities involved in rate of change. Educational Studies in Mathematics, 89, 89-110. DOI: https://doi.org/10.1007/s10649-014-9590-y
Moore, K. C., & Thompson, P. W. (2015). Shape thinking and students’ graphing activity. En T. Fukawa-Connelly, N. Infante, K. Keene & M. Zandieh (Eds.), Proceedings of the eighteenth annual conference on research in undergraduate mathematics education (pp. 782-789). Pittsburgh: Mathematical Association of America.
Paoletti, T., & Moore, K. C. (2017). The parametric nature of two students’ covariational reasoning. Journal of Mathematical Behaviour, 48, 137-151. DOI: https://doi.org/10.1016/j.jmathb.2017.08.003
Saldanha, L., & Thompson, P. W. (1998). Re-thinking covariation from a quantitative perspective: Simultaneous continuous variation. En S. B. Berenson, K. R. Dawkins, M. Blanton, W. N. Coloumbe, J. Kolb, K. Norwood, & L. Stiff (eds.), Proceedings of the 20th annual meeting of the psychology of mathematics education North American chapter (pp. 298-303). Raleigh, NC: North Carolina State University.
Stalvey, H. & Vidakovic, D. (2015). Students’ reasoning about relationships between variables in a real-world problem. Journal of Mathematical Behaviour, 40, 192-210. DOI: https://doi.org/10.1016/j.jmathb.2015.08.002
Simon, M. A. (1996). Beyond inductive and deductive reasoning: The search for a sense of knowing. Educational Studies in Mathematics, 30(2), 197-209. DOI: https://doi.org/10.1007/BF00302630
Thompson P. W. (2011). Quantitative reasoning and mathematical modeling. En New perspectives and directions for collaborative research in mathematics education, (Vol. 1).
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