Understanding geometric proofs: Scaffolding pre-service mathematics teacher students through dynamic geometry system (dgs) and flow-chart proof

Lathiful Anwar, Martin Goedhart

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Abstract

The objective of this paper is to discuss the pedagogic potential that is offered by the use of a flowchart proof with open problems and a Dynamic Geometry System in understanding geometric proofs by pre-service mathematics student teachers at an Indonesian university. Based on a literature review, we discuss aspects and levels of understanding of geometric proof and how to assess students’ understanding of the structure of deductive proofs, and how the use of a Digital Geometry System may support students’ understanding of geometric terms and statements, including definitions, postulates, and theorems. The pedagogic focus consists of exploiting the semiotic potential of a DGS, especially the use of GeoGebra tools that may function as tools of semiotic mediation to understand the geometry statements and the scaffolding potential of flow-chart proof with open problems in identifying the structure of deductive geometry proofs.
Original languageEnglish
Title of host publicationEleventh Congress of the European Society for Research in Mathematics Education
EditorsUffe Thomas Jankvist, Marja van den Heuvel-Panhuizen, Michiel Veldhuis
Place of PublicationUtrecht, Netherlands
PublisherFreudenthal Group
Pages104-111
Number of pages8
VolumeTWG01
Publication statusPublished - 2019
EventCERME11 : 11th Congress of the European Society for Research in Mathematics Education - Utrecht, Netherlands
Duration: 6-Feb-201910-Feb-2019

Publication series

NameProceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11)
PublisherFreudenthal Group

Conference

ConferenceCERME11
Country/TerritoryNetherlands
CityUtrecht
Period06/02/201910/02/2019

Keywords

  • Understanding
  • geometry
  • proof

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