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Hanson, J. R. – International Journal of Mathematical Education in Science and Technology, 2017
This article explores the process of finding the Fermat point for a triangle ABC in three dimensions. Three examples are presented in detail using geometrical methods. A delightfully simple general method is then presented that requires only the comparison of coordinates of the vertices A, B and C.
Descriptors: Geometry, Geometric Concepts, Mathematical Models, Mathematical Formulas
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Gordon, Sheldon P.; Yang, Yajun – International Journal of Mathematical Education in Science and Technology, 2017
This article takes a closer look at the problem of approximating the exponential and logarithmic functions using polynomials. Either as an alternative to or a precursor to Taylor polynomial approximations at the precalculus level, interpolating polynomials are considered. A measure of error is given and the behaviour of the error function is…
Descriptors: Mathematical Formulas, Algebra, Mathematics Activities, Error of Measurement
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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
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Kramlich, G. R., II; Kobylski, G.; Ahner, D. – International Journal of Mathematical Education in Science and Technology, 2008
This note describes an interdisciplinary project designed to enhance students' knowledge of the basic techniques taught in a multivariable calculus course. The note discusses the four main requirements of the project and then the solutions for each requirement. Concepts covered include differentials, gradients, Lagrange multipliers, constrained…
Descriptors: Calculus, Mathematics Instruction, Mathematical Concepts, Teaching Methods
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Berry, John; Nyman, Melvin A. – International Journal of Mathematical Education in Science and Technology, 2002
Discusses a team-oriented formal testing method used in a mathematical modeling course taught during the Alma College intensive spring term. Asks the question, If a collaborative teaching method is used, how does one assess students' acquisition of problem-solving and mathematical-thinking skills? (Author/MM)
Descriptors: Educational Strategies, Evaluation, Higher Education, Mathematical Models