Mathematisches Wissen, erworben in empirischen Theorien

TL;DR

This paper explores how mathematical knowledge acquired through empirical theories in elementary education aligns with established mathematical concepts and discusses supporting methods within a learning psychology framework.

Contribution

It introduces a teaching concept grounded in learning psychology that integrates empirical mathematical theories with established mathematical knowledge.

Findings

The paper clarifies the relationship between empirical theories and formal mathematics.

It proposes a teaching approach that supports learning based on empirical theories.

The approach aims to enhance understanding of elementary mathematics.

Abstract

Following the processing of individual topics of elementary school mathematics as content of empirical theories the question is adressed wether the associated conception of mathematics finds itself under established concepts, and how it can be supported. A position of learning psychology and a teaching concept will be used that fit in the position of mathematics and of the learning of mathematics developed here.