The tasty world of irrational numbers - explorative mathematical visualizations generated by AI image models

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

Beitragende

  • Sebastian Schorcht - , Professur für Grundschulpädagogik/ Mathematik (Autor:in)
  • Lukas Baumanns - , Technische Universität (TU) Dortmund (Autor:in)
  • Nils Buchholtz - , Universität Hamburg (Autor:in)
  • Judith Huget - , Universität Hamburg (Autor:in)
  • Franziska Peters - , Universität Hamburg (Autor:in)
  • Maximilian Pohl - , Universität Duisburg-Essen (Autor:in)

Abstract

In this paper, images containing mathematical ideas that were generated by different image-generating AI models (DALL-E 2, Leonardo.Ai, and Midjourney) are comparatively interpreted from a mathematics aesthetical perspective. Our exploratory study aimed to scrutinize how AI image models visualize abstract mathematical ideas and whether this imagination holds any potential for use in the context of learning mathematics. Two different mathematics-containing prompts, representing different aspects of mathematics, were used as input. Our results show that based on our examples, currently, Midjourney generates the most detailed outcome that can be used as an initial point for discussing mathematical ideas with students in the classroom.

Details

OriginalspracheEnglisch
Seiten (von - bis)272-289
Seitenumfang18
FachzeitschriftJournal of Mathematics and the Arts
Jahrgang18
Ausgabenummer3-4
PublikationsstatusElektronische Veröffentlichung vor Drucklegung - 26 Sept. 2024
Peer-Review-StatusJa

Externe IDs

Scopus 85205057993
ORCID /0000-0002-9898-8322/work/171554077

Schlagworte

Schlagwörter

  • Artificial intelligence, Generic proof, Geometric series, Mathematics education, image-generating AI