
06047902
a
2012d.00231
Balacheff, Nicolas
Gaudin, Nathalie
Modeling students' conceptions: The case of function.
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 9780821849965/pbk). CBMS Issues in Mathematics Education 16, 207234 (2010).
2010
Providence, RI: American Mathematical Society (AMS); Washington, DC: Mathematical Association of America (MAA)
EN
D25
C35
I25
models of cognitive psychology
function concept
concept formation
epistemology
Summary: We investigate the epistemological complexity of modeling students' knowing of mathematics with the goal of achieving models that acknowledge 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.