id: 06639323
dt: j
an: 2016f.01154
au: Minh, Tran Kiem; Lagrange, Jean-Baptiste
ti: Connected functional working spaces: a framework for the teaching and
learning of functions at upper secondary level.
so: ZDM, Math. Educ. 48, No. 6, 793-807 (2016).
py: 2016
pu: Springer, Berlin/Heidelberg
la: EN
cc: I40 G40 N60 U70 C70 D40
ut: functions; working spaces; Casyopée; genesis; connected functional working
spaces
ci:
li: doi:10.1007/s11858-016-0774-z
ab: Summary: This paper aims at contributing to remedy the narrow treatment of
functions at upper secondary level. Assuming that students make sense
of functions by working on functional situations in distinctive
settings, we propose to consider functional working spaces inspired by
geometrical working spaces. We analyse a classroom situation based on a
geometric optimization problem pointing out that no working space has
been prepared by the teacher for students’ tasks outside algebra. We
specify a dynamic geometry space, a measure space and an algebra space,
with artefacts in each space and means for connecting these provided by
Casyopée. The question at stake is then the functionality of this
framework for implementing and analyzing classroom situations and for
analyzing students’ and teachers’ evolution concerning functions,
in terms of geneses relative to each space.
rv: