Algebra at the Meta and the Object Level

Main Article Content

Reinhard OLDENBURG

Abstract

Two different interpretations of algebra that differ in the ontological status assigned to variables are distinguished. Variables may either be viewed as meta-mathematical tools to express generality or as objects similar to numbers and other members of the mathematical ontology. Both interpretations are detailed and linked with the literature and the use of variables in computer programming. Furthermore, it is analyzed how these two conceptualizations lead to two different understandings of the process of change of values. Some evidence from algebra assessment on the understanding of change by students is given that that illustrate that the theory is useful in analyzing students work.

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How to Cite
Reinhard OLDENBURG. (2015). Algebra at the Meta and the Object Level . Turkish Journal of Computer and Mathematics Education (TURCOMAT), 6(3), 366–379. Retrieved from https://turcomat.org/index.php/turkbilmat/article/view/93
Section
Research Articles