This paper focuses on the emergence of abstraction through the use of a new kind of motion detector — WiiGraph — with 11-year old children. In the selected episodes, the children used the sensor to create three simultaneous graphs of position vs. time: two graphs for the motion of each hand and a third one corresponding to their difference. They explored relationships that can be ascribed to an equation of the type A – B = C. We propose two distinct paths for the attainment of abstraction, one focused on working with unknowns lacking sensible qualities, and another that involves navigating a surplus of sensible qualities. This study is a case study for the latter, which we portray as a process of opening channels of flow and exchange among sensible qualities, such that these cease to be self-enclosed and start to configure a plane of unity, which, far from denying their differences, brings them into mutual circulation.

Body motion and early algebra

Nemirovsky R.
;
Ferrara F.;Ferrari G.
2019

Abstract

This paper focuses on the emergence of abstraction through the use of a new kind of motion detector — WiiGraph — with 11-year old children. In the selected episodes, the children used the sensor to create three simultaneous graphs of position vs. time: two graphs for the motion of each hand and a third one corresponding to their difference. They explored relationships that can be ascribed to an equation of the type A – B = C. We propose two distinct paths for the attainment of abstraction, one focused on working with unknowns lacking sensible qualities, and another that involves navigating a surplus of sensible qualities. This study is a case study for the latter, which we portray as a process of opening channels of flow and exchange among sensible qualities, such that these cease to be self-enclosed and start to configure a plane of unity, which, far from denying their differences, brings them into mutual circulation.
Eleventh Congress of the European Society for Research in Mathematics Education (CERME 11)
Utrecht
February 6-10, 2019
Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education
Freudenthal Group & Freudenthal Institute, Utrecht University and ERME
606
613
978-90-73346-75-8
Body motion, sensors, early algebra, abstraction
Nemirovsky R., Adamuz-Povedano N., Ferrara F., Ferrari G.
File in questo prodotto:
File Dimensione Formato  
Nemirovsky.et.al.2019.CERME11.pdf

Accesso aperto

Descrizione: Articolo principale
Tipo di file: PDF EDITORIALE
Dimensione 218.19 kB
Formato Adobe PDF
218.19 kB Adobe PDF Visualizza/Apri

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: http://hdl.handle.net/2318/1800500
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact