Die Bedeutung empirischer Theorien f\"ur die Entwicklung von Gruppierungen

TL;DR

This paper discusses how empirical theories can enhance understanding of grouping in mathematical education, contrasting with Piaget's psychological approach, and emphasizes the importance of empirical evidence in developing theories.

Contribution

It proposes integrating empirical theories into the study of grouping to improve understanding beyond Piaget's psychological perspective.

Findings

Empirical theories offer a more adequate understanding of grouping.

Piaget's psychological approach is limited in explaining grouping.

Integrating empirical evidence enhances theoretical development.

Abstract

Reviewing Piaget's psychology of reasoning by the mathematical educators of the Federal Republic of Germany late in the 1960th the concept of grouping has been understood similar to a mathematical structure. Possibly to consider empirical theories can contribute to an understanding more adequate.