Algebra at the Meta and the Object Level | Zendy

Reinhard Oldenburg | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Algebra at the Meta and the Object Level

Author(s) -

Reinhard Oldenburg

Publication year - 2015

Publication title -

türk bilgisayar ve matematik eğitimi dergisi

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.218

H-Index - 3

ISSN - 1309-4653

DOI - 10.16949/turcomat.18001

Subject(s) - generality , algebra over a field , ontology , computer science , object (grammar) , process (computing) , mathematics , epistemology , artificial intelligence , programming language , psychology , pure mathematics , philosophy , psychotherapist

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research