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Carley, Holly – Australian Senior Mathematics Journal, 2014
Usually a student learns to solve a system of linear equations in two ways: "substitution" and "elimination." While the two methods will of course lead to the same answer they are considered different because the thinking process is different. In this paper the author solves a system in these two ways to demonstrate the…
Descriptors: Equations (Mathematics), Matrices, Mathematics, Mathematics Instruction
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Kensington-Miller, Barbara; Novak, Julia; Evans, Tanya – International Journal of Mathematical Education in Science and Technology, 2016
This paper describes a case study of two pure mathematicians who flipped their lecture to teach matrix determinants in two large mathematics service courses (one at Stage I and the other at Stage II). The purpose of the study was to transform the passive lecture into an active learning opportunity and to introduce valuable mathematical skills,…
Descriptors: Blended Learning, Mathematics, Professional Personnel, Lecture Method
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Abramovich, Sergei; Leonov, Gennady A. – International Journal of Mathematical Education in Science and Technology, 2008
This article demonstrates how within an educational context, supported by the notion of hidden mathematics curriculum and enhanced by the use of technology, new mathematical knowledge can be discovered. More specifically, proceeding from the well-known representation of Fibonacci numbers through a second-order difference equation, this article…
Descriptors: Mathematics Curriculum, Numbers, Educational Technology, Calculus