id: 06047902
dt: a
an: 2012d.00231
au: Balacheff, Nicolas; Gaudin, Nathalie
ti: Modeling students’ conceptions: The case of function.
so: Hitt, Fernando (ed.) et al., Research in collegiate mathematics education.
VII. Providence, RI: American Mathematical Society (AMS); Washington,
DC: Mathematical Association of America (MAA) (ISBN
978-0-8218-4996-5/pbk). CBMS Issues in Mathematics Education 16,
207-234 (2010).
py: 2010
pu: Providence, RI: American Mathematical Society (AMS); Washington, DC:
Mathematical Association of America (MAA)
la: EN
cc: D25 C35 I25
ut: models of cognitive psychology; function concept; concept formation;
epistemology
ci:
li:
ab: Summary: We investigate the epistemological complexity of modeling
students’ knowing of mathematics with the goal of achieving models
that ac-knowledge both the possible lack of coherency and the local
efficiency of such knowing. We propose a model of “conception” as a
possible tool to address the epistemological complexity we identify. We
then provide an illustration of the usefulness of this model by
exploring conceptions of “function” as a case in point.
rv: