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Mathematical Problem Solving pp 41–62Cite as

A Model of Mathematical Problem Solving with Technology: The Case of Marco Solving-and-Expressing Two Geometry Problems

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Part of the book series: ICME-13 Monographs ((ICME13Mo))

Abstract

Research has long been using analytical tools to describe the processes students engage in when solving non-routine mathematical problems. In this chapter we describe and discuss our progress on devising and implementing an analytical tool that aims to account for the use of technological tools by combining a mathematical problem solving model with a digital problem solving framework. By means of the Mathematical Problem Solving with Technology model (MPST) we report the case of Marco using technologies for solving two problems from a beyond school competition. Results show that Marco’s choice of the tools is grounded on an explicit knowledge of their affordances and how they enhance his mathematical thinking, mainly by triggering visual approaches that support the development of conceptual models for solving-and-expressing the solutions to the problems.

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Author information

Authors and Affiliations

  1. Faculdade de Ciências e Tecnologia da Universidade do Algarve, Campus de Gambelas, 8005-139, Faro, Portugal

    Susana Carreira

  2. UIDEF, Instituto de Educação da Universidade de Lisboa, Alameda da Universidade, 1649-013, Lisbon, Portugal

    Susana Carreira & Hélia Jacinto

Authors
  1. Susana Carreira
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  2. Hélia Jacinto
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Corresponding author

Correspondence to Susana Carreira .

Editor information

Editors and Affiliations

  1. Faculty of Education, Simon Fraser University, Burnaby, BC, Canada

    Peter Liljedahl

  2. Department of Mathematics Education, Cinvestav-Instituto Politecnico Nacional, Mexico City, Distrito Federal, Mexico

    Manuel Santos-Trigo

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Carreira, S., Jacinto, H. (2019). A Model of Mathematical Problem Solving with Technology: The Case of Marco Solving-and-Expressing Two Geometry Problems. In: Liljedahl, P., Santos-Trigo, M. (eds) Mathematical Problem Solving. ICME-13 Monographs. Springer, Cham. https://doi.org/10.1007/978-3-030-10472-6_3

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  • DOI: https://doi.org/10.1007/978-3-030-10472-6_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-10471-9

  • Online ISBN: 978-3-030-10472-6

  • eBook Packages: EducationEducation (R0)

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