In this paper, we present planning for a learning trajectory to teach a graph theory rule, specifically that underlying Euler’s Königsberg Bridges problem, using a design research approach. With a Realistic Mathematics Education approach and contextualizing the learning trajectory in the embodied cognition theoretical framework, we designed and tested some tasks to be performed outdoors and with the use of the students’ body and movement. Preliminary results show how students connected the outdoor activities with other tasks that required a higher level of abstraction, understanding some mathematical properties, referring to the experience they lived in first person. These results motivate further investigations on this topic.

Learning Math Outdoors: Graph Theory using Maps / A. Gaio, L. Branchetti, R. Capone (CONFERENCE PROCEEDINGS IN MATHEMATICS EDUCATION). - In: Research on Outdoor STEM Education in the digiTal Age / [a cura di] M. Ludwig, S. Jablonski, A. Caldeira, A. Moura. - [s.l] : WTM – Verlag für wissenschaftliche Texte und Medien, 2020. - ISBN 9783959871440. - pp. 95-102 (( convegno ROSETA tenutosi a online conference nel 2020.

Learning Math Outdoors: Graph Theory using Maps

L. Branchetti;
2020

Abstract

In this paper, we present planning for a learning trajectory to teach a graph theory rule, specifically that underlying Euler’s Königsberg Bridges problem, using a design research approach. With a Realistic Mathematics Education approach and contextualizing the learning trajectory in the embodied cognition theoretical framework, we designed and tested some tasks to be performed outdoors and with the use of the students’ body and movement. Preliminary results show how students connected the outdoor activities with other tasks that required a higher level of abstraction, understanding some mathematical properties, referring to the experience they lived in first person. These results motivate further investigations on this topic.
Embodied; RME; discrete mathematics; Graph theory; Eulerian paths; maps; navigation
Settore MAT/04 - Matematiche Complementari
https://www.wtm-verlag.de/DOI-Deposit/978-3-95987-144-0/978-3-95987-144-0-Book.pdf
Book Part (author)
File in questo prodotto:
File Dimensione Formato  
978-3-95987-144-0-Book.pdf

accesso aperto

Tipologia: Publisher's version/PDF
Dimensione 12.55 MB
Formato Adobe PDF
12.55 MB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

Caricamento pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/845257
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact