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Arribas, E.; Escobar, I.; Ramirez-Vazquez, R. – International Journal of Mathematical Education in Science and Technology, 2021
In the article 'How Long Is My Toilet Roll--A Simple Exercise in Mathematical Modelling' several models of increasing complexity are introduced and solved to calculate indirectly the length of paper on a toilet-roll. All these results are presented without errors. The authors of this comment believe the error analysis of measurements made in a…
Descriptors: Mathematics Instruction, Teaching Methods, Mathematical Models, Computation
Santos-Trigo, Manuel; Reyes-Rodriguez, Aaron – International Journal of Mathematical Education in Science and Technology, 2011
To what extent does the use of computational tools offer teachers the possibility of constructing dynamic models to identify and explore diverse mathematical relations? What ways of reasoning or thinking about the problems emerge during the model construction process that involves the use of the tools? These research questions guided the…
Descriptors: Mathematical Models, Secondary School Teachers, Computation, Teaching Methods
Schley, D.; Shail, R.; Gourley, S. A. – International Journal of Mathematical Education in Science and Technology, 2002
Time delays are an important aspect of mathematical modelling, but often result in highly complicated equations which are difficult to treat analytically. In this paper it is shown how careful application of certain undergraduate tools such as the Method of Steps and the Principle of the Argument can yield significant results. Certain delay…
Descriptors: Teaching Methods, Equations (Mathematics), Calculus, Mathematical Models