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Study and Research in Graph Theory: A Case of a Japanese Upper Secondary School

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Extended Abstracts Spring 2019

Part of the book series: Trends in Mathematics ((RPCRMB,volume 13))

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Abstract

How can we organise a teaching and learning process based on inquiry, that is, a study and research path (SRP) in school mathematics education? This big question has motived researchers under the study paradigm of questioning the world. According to this direction, we implemented an experiment for realising an SRP in a Japanese upper secondary school. The SRP developed around a theme of graph theory. For analysing it, we conducted both economic and ecological analyses of the functioning of the didactic system. We used the questions-answers map and described the occurrence of the basic gestures of inquiry for the economic analysis, and then, identified some conditions by using the scale of didactic codeterminacy levels for the ecological analysis. As a result, we pointed out some significant conditions, which can persuasively explain the economy of the SRP, at different levels. Besides that, we finally proposed a hypothesis about an obstacle that hinders the dissemination of graph theory into school mathematics curricula.

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Acknowledgements

This work was supported by JSPS KAKENHI (JP16K17433 and JP17H02694).

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Authors and Affiliations

  1. Faculty of Education, Kochi University, Kochi, Japan

    Ryoto Hakamata

  2. Hokkaido University of Education, Hokkaido, Japan

    Koji Otaki

Authors
  1. Ryoto Hakamata
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  2. Koji Otaki
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Corresponding author

Correspondence to Ryoto Hakamata .

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Editors and Affiliations

  1. Facultat d’Educació, Universitat de Barcelona, Barcelona, Spain

    Berta Barquero

  2. Escola UniversitĂ ria Salesiana de SarriĂ , Barcelona, Spain

    Ignasi Florensa

  3. Universidad de Murcia, Murcia, Spain

    Pedro Nicolás

  4. TecnoCampus, Universitat Pompeu Fabra, MatarĂł, Spain

    NoemĂ­ Ruiz-MunzĂłn

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Hakamata, R., Otaki, K. (2021). Study and Research in Graph Theory: A Case of a Japanese Upper Secondary School. In: Barquero, B., Florensa, I., Nicolás, P., Ruiz-Munzón, N. (eds) Extended Abstracts Spring 2019. Trends in Mathematics(), vol 13. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-76413-5_14

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