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Debnath, L. – International Journal of Mathematical Education in Science and Technology, 2013
This article deals with a short historical introduction to determinants with applications to the theory of equations, geometry, multiple integrals, differential equations and linear algebra. Included are some properties of determinants with proofs, eigenvalues, eigenvectors and characteristic equations with examples of applications to simple…
Descriptors: Equations (Mathematics), Geometry, Calculus, Algebra
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Budinski, Natalija; Takaci, Djurdjica – International Journal for Technology in Mathematics Education, 2011
This paper proposes modelling based learning as a tool for learning and teaching mathematics. The example of modelling real world problems leading to the exponential function as the solution of differential equations is described, as well as the observations about students' activities during the process. The students were acquainted with the…
Descriptors: Foreign Countries, World Problems, Mathematics Instruction, Problem Solving
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French, A.; Cullerne, J. P.; Kanchanasakdichai, O. – Physics Education, 2019
This paper develops the ideas of "The Pedagogical Power of Context: Iterative Calculus Methods and the Epidemiology of Eyam" (French "et al." 2018 "J. Phys. Educ."), where we considered the application of the Euler method to solve epidemiological problems. Our purpose was to convey some examples of school level work…
Descriptors: Science Instruction, Physics, Visualization, Calculus
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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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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