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Integrating Synthetic and Analytical Aspects of Geometry Through Solving Problems Using a DGS

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Learning Technology for Education in Cloud (LTEC 2015)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 533))

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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.

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Authors and Affiliations

  1. Ciudad del Conocimiento de la UAEH, Carretera Pachucha-Tulancingo Km. 4.5, Mineral de la Reforma, 42184, Pachucha, HGO, Mexico

    Carolina Guerrero-Ortiz, Aaron Reyes-Rodriguez & Hugo Espinosa-Perez

Authors
  1. Carolina Guerrero-Ortiz
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  2. Aaron Reyes-Rodriguez
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  3. Hugo Espinosa-Perez
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Corresponding author

Correspondence to Aaron Reyes-Rodriguez .

Editor information

Editors and Affiliations

  1. Staffordshire University, Stoke-on-Trent, United Kingdom

    Lorna Uden

  2. Universidad Tecnica Federico Santa Maria, Valparaiso, Chile

    Dario Liberona

  3. University of Maribor, Maribor, Slovenia

    Tatjana Welzer

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Guerrero-Ortiz, C., Reyes-Rodriguez, A., Espinosa-Perez, H. (2015). Integrating Synthetic and Analytical Aspects of Geometry Through Solving Problems Using a DGS. In: Uden, L., Liberona, D., Welzer, T. (eds) Learning Technology for Education in Cloud. LTEC 2015. Communications in Computer and Information Science, vol 533. Springer, Cham. https://doi.org/10.1007/978-3-319-22629-3_23

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  • DOI: https://doi.org/10.1007/978-3-319-22629-3_23

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-22628-6

  • Online ISBN: 978-3-319-22629-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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