
06639322
j
2016f.00937
Hitt, Fernando
Saboya, Mireille
Cort\'es Zavala, Carlos
An arithmeticalgebraic work space for the promotion of arithmetic and algebraic thinking: triangular numbers.
ZDM, Math. Educ. 48, No. 6, 775791 (2016).
2016
Springer, Berlin/Heidelberg
EN
F60
H20
D20
mathematical work space
mathematical thinking
algebraic thinking
arithmeticalgebraic thinking
technology
spontaneous representations
institutional representations
sociocultural milieu
doi:10.1007/s1185801507495
Summary: This paper presents an experiment that attempts to mobilise an arithmeticalgebraic 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 ArithmeticAlgebraic 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 sociocultural environment.