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Sigler, Avi; Stupel, Moshe; Flores, Alfinio – International Journal of Mathematical Education in Science and Technology, 2017
Students use GeoGebra to explore the mathematical relations among different radii of circles in a triangle (circumcircle, incircle, excircles) and the sides and other segments in the triangle. The more formal mathematical development of the relations that follows the explorations is based on known geometrical properties, different formulas…
Descriptors: Mathematics Instruction, Computer Software, Educational Technology, Geometric Concepts
Altiparmak, Kemal – International Journal of Mathematical Education in Science and Technology, 2014
In mathematic courses, construction of some concepts by the students in a meaningful way may be complicated. In such circumstances, to embody the concepts application of the required technologies may reinforce learning process. Onset of learning process over daily life events of the student's environment may lure their attention and may…
Descriptors: Animation, Cognitive Processes, Mathematics Instruction, Experimental Groups
Kobayashi, Yukio – International Journal of Mathematical Education in Science and Technology, 2011
The formula [image omitted] is closely related to combinatorics through an elementary geometric exercise. This approach can be expanded to the formulas [image omitted], [image omitted] and [image omitted]. These formulas are also nice examples of showing two approaches, one algebraic and one combinatoric, to a problem of counting. (Contains 6…
Descriptors: Mathematical Formulas, Geometry, Computation, Teaching Methods
Deakin, Michael A. B. – International Journal of Mathematical Education in Science and Technology, 2010
Many familiar household objects (such as sausages) involve the maximization of a volume under geometric constraints. A flexible but inextensible membrane bounds a volume which is to be filled to capacity. In the case of the sausage, a full analytic solution is here provided. Other related but more difficult problems seem to demand approximate…
Descriptors: Geometric Concepts, Calculus, Mathematics Instruction, Problem Solving
Sprows, David J. – International Journal of Mathematical Education in Science and Technology, 2009
A number of schools have recently introduced new courses dealing with various aspects of iteration theory or at least have found ways of including topics such as chaos and fractals in existing courses. In this note, we will consider a family of functions whose members are especially well suited to illustrate many of the concepts involved in these…
Descriptors: Geometric Concepts, Mathematics Education, Mathematics Instruction, Teaching Methods