\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2016f.00937}
\itemau{Hitt, Fernando; Saboya, Mireille; Cort\'es Zavala, Carlos}
\itemti{An arithmetic-algebraic work space for the promotion of arithmetic and algebraic thinking: triangular numbers.}
\itemso{ZDM, Math. Educ. 48, No. 6, 775-791 (2016).}
\itemab
Summary: This paper presents an experiment that attempts to mobilise an arithmetic-algebraic way of thinking in order to articulate between arithmetic thinking and the early algebraic thinking, which is considered a prelude to algebraic thinking. In the process of building this latter way of thinking, researchers analysed pupils' spontaneous production using a triangular numbers activity. Based on a specific collaborative learning methodology, this study explores the possibility of constructing an Arithmetic-Algebraic Work Space around the process of constructing signs as framed by both activity theory and a technological approach, showing the spontaneous representations produced by seventh grade pupils and their evolution in a socio-cultural environment.
\itemrv{~}
\itemcc{F60 H20 D20}
\itemut{mathematical work space; mathematical thinking; algebraic thinking; arithmetic-algebraic thinking; technology; spontaneous representations; institutional representations; sociocultural milieu}
\itemli{doi:10.1007/s11858-015-0749-5}
\end