Synergy of two division algorithms in 4 th grade: opportunities and challenges

Silvia Funghi (1) , Alessandro Ramploud (1)

1 University of Pisa - Università di Pisa

This paper aims at showing the potential of the synergistic use of algorithms as artifacts for the development of mathematical meanings with pupils of primary school. Specifically, we consider two division algorithms introduced in 4 th grade and we show how a specific task design, that involves a comparison between the two different algorithms performing the same division, can generate a mathematical discussion. In such a discussion we can identify several situated signs potentially useful for the development of mathematical meanings related to the algorithms' functioning.

Mots clés: Sinergy between algorithms; Semiotic Mediation; Artefacts; Canadian division algorithm; TI-division algorithm

Domaines: Mathématiques [math]

Silvia Funghi, Alessandro Ramploud. Synergy of two division algorithms in 4 th grade: opportunities and challenges. Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Feb 2022, Bozen-Bolzano, Italy. ⟨hal-03748435⟩