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Visualizing Mathematics pp 309–337Cite as

Visualization Abilities and Complexity of Reasoning in Mathematically Gifted Students’ Collaborative Solutions to a Visualization Task: A Networked Analysis

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Part of the book series: Research in Mathematics Education ((RME))

Abstract

We analyze the solutions given by secondary school mathematically gifted students to a collaborative task designed to promote the development of students’ competence of visualization. Each student was provided with two different orthogonal projections of a set of buildings made of cubes and other verbal data, and they were asked to place the buildings on a squared grid. We analyze students’ use of visualization abilities and the complexity of their reasoning. Results show that there is a relation between the objective of students’ actions and the kind of visualization abilities used, and, also, between students’ strategies of solution and the cognitive demand necessary to fulfill them. Finally, we network both analyses to gain insight and look for global conclusions.

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Author information

Authors and Affiliations

  1. Departamento de Didáctica de la Matemática, University of Valencia, Valencia, Spain

    A. Gutiérrez, C. Benedicto & A. Jaime

  2. Departamento de Didáctica de la Matemática, University of Granada, Granada, Spain

    R. Ramírez

  3. Departamento de Educación, Jaume I University, Castellón, Spain

    M. J. Beltrán-Meneu

Authors
  1. A. Gutiérrez
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  2. R. Ramírez
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  3. C. Benedicto
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  4. M. J. Beltrán-Meneu
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  5. A. Jaime
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Corresponding author

Correspondence to A. Gutiérrez .

Editor information

Editors and Affiliations

  1. Department of Human Development and Quantitative Methodology, University of Maryland, College Park, MD, USA

    Kelly S. Mix

  2. Department of Teaching and Learning, The Ohio State University, Columbus, OH, USA

    Michael T. Battista

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Gutiérrez, A., Ramírez, R., Benedicto, C., Beltrán-Meneu, M.J., Jaime, A. (2018). Visualization Abilities and Complexity of Reasoning in Mathematically Gifted Students’ Collaborative Solutions to a Visualization Task: A Networked Analysis. In: Mix, K., Battista, M. (eds) Visualizing Mathematics. Research in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-319-98767-5_14

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  • DOI: https://doi.org/10.1007/978-3-319-98767-5_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-98766-8

  • Online ISBN: 978-3-319-98767-5

  • eBook Packages: EducationEducation (R0)

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