id: 06675775
dt: a
an:
au: Baccaglini-Frank, Anna; Antonini, Samuele; Leung, Allen; Mariotti, Maria
Alessandra
ti: Designing non-constructability tasks in a dynamic geometry environment.
so: Leung, Allen (ed.) et al., Digital technologies in designing mathematics
education tasks. Potential and pitfalls. Cham: Springer (ISBN
978-3-319-43421-6/hbk; 978-3-319-43423-0/ebook). Mathematics Education
in the Digital Era 8, 99-120 (2017).
py: 2017
pu: Cham: Springer
la: EN
cc: U70 G40 G80 D50
ut: dynamic geometry environment; indirect argumentation; non-constructability
problems; proof by contradiction
ci:
li: doi:10.1007/978-3-319-43423-0_6
ab: Summary: This chapter highlights specific design features of tasks proposed
in a Dynamic Geometry Environment (DGE) that can foster the production
of indirect argumentations and proof by contradiction. We introduce the
notion of open construction problem and describe the design of two
types of problems, analysing their potential a priori, with the goal of
elaborating on the potentials of designing problems in a DGE with
respect to fostering processes of indirect argumentation. Specifically,
we aim at showing how particular open construction problems, that we
refer to as non-constructability problems, are expected to make
indirect argumentations emerge.
rv: