
06675775
a
BaccagliniFrank, Anna
Antonini, Samuele
Leung, Allen
Mariotti, Maria Alessandra
Designing nonconstructability tasks in a dynamic geometry environment.
Leung, Allen (ed.) et al., Digital technologies in designing mathematics education tasks. Potential and pitfalls. Cham: Springer (ISBN 9783319434216/hbk; 9783319434230/ebook). Mathematics Education in the Digital Era 8, 99120 (2017).
2017
Cham: Springer
EN
U70
G40
G80
D50
dynamic geometry environment
indirect argumentation
nonconstructability problems
proof by contradiction
doi:10.1007/9783319434230_6
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 nonconstructability problems, are expected to make indirect argumentations emerge.