TY - JOUR
PY - 2012
SN - 1886-1350
N1 - 1886-1350
T2 - PNA
VL - 6
IS - 2
TI - Spontaneous Meta-Arithmetic as the First Step Toward School Algebra
UR - http://www.pna.es/Numeros2/pdf/Caspi2012PNA6(2)Spontaneous.pdf
PB - Grupo FQM
DA - 2002/09/01
KW - Algebra
KW - Discourse
KW - Formalization
KW - Generalization
KW - Meta-arithmetic
AU - Caspi, Shai
AU - Sfard, Anna
SP - 61-71
LA - English
AD - University of Haifa
M3 - Research paper
AB - Taking as a point of departure the vision of school algebra as a formalized meta-discourse of arithmetic, we have been following six pairs of 7th-grade students (12-13 years old) as they gradually modify their spontaneous meta-arithmetic toward the “official” algebraic form of talk. In this paper we take a look at the very beginning of this process. Preliminary analyses of data have shown, unsurprisingly, that while reflecting on arithmetic processes and relations, the uninitiated 7th graders were employing colloquial means, which could not protect them against occasional ambiguities. More unexpectedly, this spontaneous meta-arithmetic, although not supported by any previous algebraic schooling, displayed some algebra-like features, not to be normally found in everyday discourses.
ER - s.
ER -