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Kougias, Ioannis E. – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2009
Ordinary differential equations (ODEs) is a subject with a wide range of applications and the need of introducing it to students often arises in the last year of high school, as well as in the early stages of tertiary education. The usual methods of solving second-order ODEs with constant coefficients, among others, rely upon the use of complex…
Descriptors: High Schools, Equations (Mathematics), High School Students, Calculus
Castillo-Garsow, Carlos – ProQuest LLC, 2010
Both Thompson and the duo of Confrey and Smith describe how students might be taught to build "ways of thinking" about exponential behavior by coordinating the covariation of two changing quantities, however, these authors build exponential behavior from different meanings of covariation. Confrey and Smith advocate beginning with discrete additive…
Descriptors: Geometric Concepts, Calculus, Mathematics Instruction, Experiments
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Toumasis, Charalampos – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2004
Emphasis on problem solving and mathematical modeling has gained considerable attention in the last few years. Connecting mathematics to other subjects and to the real world outside the classroom has received increased attention in mathematics programs. This article describes an application of simple differential equations in the field of…
Descriptors: Mathematical Models, Dietetics, Calculus, Problem Solving
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Martins, Ana Margarida; Vera-Licona, Paola; Laubenbacher, Reinhard – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2008
This article describes a mathematical biology workshop given to secondary school teachers of the Danville area in Virginia, USA. The goal of the workshop was to enable teams of teachers with biology and mathematics expertise to incorporate lesson plans in mathematical modelling into the curriculum. The biological focus of the activities is the…
Descriptors: Mathematics Education, Molecular Biology, Workshops, Secondary School Teachers
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Grant, Melva R.; Crombie, William; Enderson, Mary; Cobb, Nell – International Journal of Mathematical Education in Science and Technology, 2016
Access to advanced study in mathematics, in general, and to calculus, in particular, depends in part on the conceptual architecture of these knowledge domains. In this paper, we outline an alternative conceptual architecture for elementary calculus. Our general strategy is to separate basic concepts from the particular advanced techniques used in…
Descriptors: Algebra, Mathematical Formulas, Calculus, High Schools