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Journals / Türk Bilgisayar ve Matematik Eğitimi Dergisi / 2015 / Cilt: 6 - Sayı: 3

Algebra at the Meta and the Object Level

Reinhard OLDENBURG
Pages
366–379
Publication Date
2022-11-05
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

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Objective & Hypothesis:Two different interpretations of algebra that differ in the ontological status assigned to variables are distinguished.
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Key Findings & Data: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.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

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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Cite This Article

OLDENBURG, R. (2022). Algebra at the Meta and the Object Level. Türk Bilgisayar ve Matematik Eğitimi Dergisi, Cilt: 6 - Sayı: 3, 366–379. https://ajindex.com/articles/620405

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