Understanding the Generality of Mathematical Statements

An Experimental Study at the Transition from School to University de

Éditeur :

Springer Spektrum


Collection :

Bielefelder Schriften zur Didaktik der Mathematik

Paru le : 2024-02-02

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Description

In this open access book Milena Damrau investigates the understanding of generality of mathematical statements in first-year university students and its relation to other proof-related activities. Through an experimental study, she particularly analyses the effect of different types of arguments (empirical, generic, and ordinary proofs) and statements (familiar and unfamiliar, as well as true and false ones) on several proof-related activities. The results reveal students' struggles with the concept of generality, how their understanding of generality is related to proof reading and construction and how different types of arguments and statements impact students’ performance in other proof-related activities. The findings offer valuable insights for improving mathematics courses at the transition from school to university and highlight the need for more experimental studies in mathematics education.

Pages
207 pages
Collection
Bielefelder Schriften zur Didaktik der Mathematik
Parution
2024-02-02
Marque
Springer Spektrum
EAN papier
9783658437626
EAN PDF
9783658437633

Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
20
Taille du fichier
4782 Ko
Prix
0,00 €
EAN EPUB
9783658437633

Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
20
Taille du fichier
6124 Ko
Prix
0,00 €