RecordNumber
3384
Author
Voskoglou, Michael Gr.
Crop_Body
Michael Gr. Voskoglou
Title of Article
ON STUDENT UNDERSTANDING OF THE CONCEPT OF INFINITY
Title Of Journal
philosophy of mathematics education
Publication Year
2016
Volum
30
Keywords
Cantor’s ternary set , Aristotle’s potential/actual dichotomy of the infinity , large finite numbers , fractals , attainable and unattainable infinite , APOS explanations for the difficulties of understanding the infinite
Abstract
Students of today are facing significant difficulties for understanding the
concept of infinity and especially the actual form of it, according to the
Aristotle’s dichotomy. In this work we present an experimental study on
the effects that an instruction to the basic philosophical/epistemological
aspects of the infinite could have for the improvement of student abilities
to deal successfully in their mathematical courses with situations
involving, directly or indirectly, the concept of infinity.