Designing dynamic geometry tasks that support the proving process

Mogetta, Catia, Olivero, Federica and Jones, Keith (1999) Designing dynamic geometry tasks that support the proving process. Proceedings of the British Society for Research into Learning Mathematics, 19 (3), 97-102.

Record type: Article

Abstract

A major challenge for mathematics education is to find ways in which proof in geometry has communicatory, exploratory, and explanatory functions alongside those of justification and verification. Ongoing research is suggesting that providing students with tasks which state “prove that…” might actually inhibit students’ capacity for proving. In contrast, open tasks which favour a dynamic exploration of a statement and encourage the use of transformational reasoning may allow students to reconstruct, in terms of properties and relationships, all the elements needed in the proof. In this report we consider the transforming of closed problem into open ones and discuss the use of dynamic geometry software, such as Cabri, in such a process.

Text

Mogetta_etc_BSRLM_19-3_1999.pdf - Other

Download (44kB)

More information

Published date: 1999

Keywords: pedagogy, curriculum, teaching, learning, intuition, geometry, intuitive, drawing, measurement, imagining, manipulating, figures, mathematics, England, geometric, geometrical, deductive reasoning, proof, school, national curriculum, ICT, dynamic geometry, DGS, DGE, Euclid, Euclidean, proving, conjecture, conjecturing

Organisations: Mathematics, Science & Health Education

Learn more about Education research