@article {MATHEDUC.02363093,
author = {Moreira Brumatti, Raquel N. and Wodewotzki, Maria L\'ucia L.},
title = {A perspective on the conceptions of college freshmen regarding absolute value of real numbers. (Uma perspectiva das concep\c c{}\~o{}es de calouros universit\'arios sobre o valor absoluto de n\'umeros reais.)},
year = {2004},
journal = {Bolema},
volume = {17},
number = {22},
issn = {0103-636X},
pages = {63-81},
publisher = {Universidade Estadual Paulista de Mesquita Filho, UNESP, Rio Claro},
abstract = {In this paper we begin with a somewhat pedagogical statement about what we think is the role of the absolute value concept in the mathematical context and we try to unders-tand how a student learns this concept. The theoretical perspective of cognitive develop-ment is an extension of Piaget's ideas about reflective abstraction and it allows one's to describe the mental constructions present in a learning process of advanced mathematical concepts. Based on a initial cognitive model of how the absolute value may be learned an attempt to interpret the interviewee's data using the Action-Process-Object-Schema (APOS) theoretical framework is made. There is evidence showing that the level of abstraction of these starting college students enable them to have an adequate unders-tanding of the absolute value. The results of the data analysis also made us consider the graphic representations and the cooperative learning as relevant factors of a pedagogical approach because they seem to lead a more efficient and meaningful knowledge.},
msc2010 = {C35xx},
identifier = {2005c.00931},
}