Integrating synthetic and analytical aspects of geometry through solving problems using a DGS

CAROLINA GUERRERO ORTIZ, Aaron Reyes-Rodriguez, Hugo Espinosa-Perez

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper we document and analyze the extent to which the systematic use of a Dynamic Geometry System (DGS) in problem solving activities can become a means to integrating the synthetic and analytical aspects of geometry. We analyze some solution paths for a task of geometric construction, implemented by three participants at a problem-solving seminar. We identify limitations of purely analytical approaches as well as the usefulness of integrating analytical and synthetic techniques to construct or justify a solution path. We observed that solving problems of geometric construction without the support offered by digital technology reduces the opportunities that a solver has to interpret algebraic procedures from a geometric perspective and to construct meaning for mathematical ideas and concepts.

Original languageEnglish
Title of host publicationLearning Technology for Education in Cloud - 4th International Workshop, LTEC 2015, Proceedings
EditorsTatjana Welzer, Dario Liberona, Lorna Uden
PublisherSpringer Verlag
Pages283-297
Number of pages15
ISBN (Print)9783319226286
DOIs
StatePublished - 1 Jan 2015
Event4th International Workshop on Learning Technology for Education in Cloud, LTEC 2015 - Maribor, Slovenia
Duration: 24 Aug 201528 Aug 2015

Publication series

NameCommunications in Computer and Information Science
Volume533
ISSN (Print)1865-0929

Conference

Conference4th International Workshop on Learning Technology for Education in Cloud, LTEC 2015
CountrySlovenia
CityMaribor
Period24/08/1528/08/15

Keywords

  • Connections
  • DGS
  • Geometry
  • Problem solving
  • Understanding

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