The most important feature of Cabri Géomètre II Plus is the option to create dynamic geometric constructions. In this paper we will introduce some original constructions that go beyond the purely geometric context to address important topics in Calculus. While the use Cabri is forced (calculations are subject to obvious limitations), the following infinite iterative processes are rendered more interactive and accessible to the user thanks to the animation: the Archimedes’method of exhaustion to calculate the length of a circumference and the area of a circle; the integration process to estimate the area bounded by the graph of a function f(x). These constructions can be used in the classroom and provide a particularly useful technological tool for the instruction of some important mathematical concepts. Some classroom activities are suggested for each construction.
Costruzioni iterative in Cabri Géomètre II Plus, Quaderni Scientifici del Dipartimento di Matematica, Università degli Studi di Torino, Quaderno n° 9, 2007
GARETTO, Maria Teresa;
2007-01-01
Abstract
The most important feature of Cabri Géomètre II Plus is the option to create dynamic geometric constructions. In this paper we will introduce some original constructions that go beyond the purely geometric context to address important topics in Calculus. While the use Cabri is forced (calculations are subject to obvious limitations), the following infinite iterative processes are rendered more interactive and accessible to the user thanks to the animation: the Archimedes’method of exhaustion to calculate the length of a circumference and the area of a circle; the integration process to estimate the area bounded by the graph of a function f(x). These constructions can be used in the classroom and provide a particularly useful technological tool for the instruction of some important mathematical concepts. Some classroom activities are suggested for each construction.
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