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Holton, Derek – Australian Primary Mathematics Classroom, 2021
This article recounts the life of mathematician Leonhard Euler and discusses the use of Graph Theory in student learning.
Descriptors: Mathematics Instruction, Professional Personnel, Educational History, Problem Solving
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Harding, Ansie; Engelbrecht, Johann – International Journal of Mathematical Education in Science and Technology, 2007
This paper, the second of a two part article, expands on an idea that appeared in literature in the 1950s to show that by restricting the domain to those complex numbers that map onto real numbers, representations of functions other than the ones in the real plane are obtained. In other words, the well-known curves in the real plane only depict…
Descriptors: Graphs, Computation, Geometric Concepts, Geometry
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Harding, Ansie; Engelbrecht, Johann – International Journal of Mathematical Education in Science and Technology, 2007
This paper, the first of a two-part article, follows the trail in history of the development of a graphical representation of the complex roots of a function. Root calculation and root representation are traced through millennia, including the development of the notion of complex numbers and subsequent graphical representation thereof. The…
Descriptors: Graphs, Computation, Geometric Concepts, Geometry
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Farmaki, Vassiliki; Paschos, Theodorus – Educational Studies in Mathematics, 2007
The integration of history into educational practice can lead to the development of activities through the use of genetic "moments" in the history of mathematics. In the present paper, we utilize Oresme's genetic ideas--developed during the fourteenth century, including ideas on the velocity-time graphical representation as well as geometric…
Descriptors: Teaching Methods, Mathematical Models, Learning Activities, Geometric Concepts