id: 06639318
dt: j
an: 2016f.00067
au: Kuzniak, Alain (ed.); Tanguay, Denis (ed.); Elia, Iliada (ed.)
ti: Mathematical working spaces in schooling: an introduction.
so: ZDM, Math. Educ. 48, No. 6, 721-737 (2016).
py: 2016
pu: Springer, Berlin/Heidelberg
la: EN
cc: A60 D20 C70
ut: mathematical working space; epistemological perspective; cognitive
perspective; semiotic; instrumental; discursive geneses
ci:
li: doi:10.1007/s11858-016-0812-x
ab: Summary: The theoretical and methodological model of Mathematical Working
Space (MWS) is introduced in this paper. For over 10 years, the model
has been the object of collaborative research among various
researchers, generally coming from French and Spanish speaking
countries. Articulating epistemological and cognitive aspects, the MWS
model is aimed at providing a tool for the specific study of
mathematical work in which students and teachers are effectively
engaged during mathematics sessions. The abstract space thus conceived
refers to a structure organized in a way that allows the analysis of
the mathematical activity of individuals dealing with mathematical
problems. Thus, analyzing mathematical work through the lens of MWS
enables tracking down how meaning is progressively constructed, as a
process of bridging the epistemological and the cognitive perspectives
‒ these being modelled as two planes at different levels in the
diagrammatic structure ‒ in accordance with different specific yet
intertwined genetic developments. Each is identified as a genesis
related to a specific dimension in the model: semiotic, instrumental
and discursive geneses. A general overview of the different papers
included in this issue is given, and shows how the model can be used to
study different tasks, teaching situations and activities set in
specific mathematical fields or domains. Some perspectives are finally
drawn, while reflecting on the possibility of ‘networking’
different theoretical frames with the MWS framework. Indeed, the latter
is not proposed as a holistic theory, but rather should function as a
tool interacting strongly with other approaches.
rv: