126562 20241125101154.0 doi 10.1007/s10763-023-10380-z sideral 133979 ART-2023-133979 eng Arnal-Bailera, Alberto Universidad de Zaragoza (orcid)0000-0002-0516-0463 A Characterization of Van Hiele’s Level 5 of Geometric Reasoning Using the Delphi Methodology 2023 Access copy available to the general public Unrestricted The Van Hiele model of geometric reasoning establishes five levels of development, from level 1 (visual) to level 5 (rigor). Despite the fact that this model has been deeply studied, there are few research works concerning the fifth level. However, there are some works that point out the interest of working with activities at this level to promote the acquisition of previous levels. Our goal is to describe this level through the construction and validation of a list of indicators for each of the processes involved in geometrical reasoning (definition, proof, classification, and identification). Due to the lack of previous research, we have decided to use the Delphi methodology. This approach allowed us to collect information from a panel of experts to reach a consensus through a series of phases about the indicators that describe each of the processes. The final product of the iterative application of this method is a list of validated indicators of the fifth Van Hiele level of reasoning. In particular, proof and definition processes have turned out to be the most relevant processes at this level. info:eu-repo/grantAgreement/ES/AEI/PID2020-115652GB-I00 info:eu-repo/grantAgreement/ES/DGA/S60-23R info:eu-repo/grantAgreement/ES/MICINN/PID2019-104964GB-I00 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 1.9 2023 EDUCATION & EDUCATIONAL RESEARCH 212 / 760 = 0.279 2023 Q2 T1 1.038 2023 Mathematics (miscellaneous) 2023 Q1 Education 2023 Q1 5.1 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Manero, Víctor Universidad de Zaragoza (orcid)0000-0001-9884-7995 2006 200 Universidad de Zaragoza Dpto. Matemáticas Área Didáctica Matemática 22 (2023), 537–560 INTERNATIONAL JOURNAL OF SCIENCE AND MATHEMATICS EDUCATION INTERNATIONAL JOURNAL OF SCIENCE AND MATHEMATICS EDUCATION 1571-0068 1572760 http://zaguan.unizar.es/record/126562/files/texto_completo.pdf Versión publicada 1310022 http://zaguan.unizar.es/record/126562/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:126562 articulos driver 2024-11-22-12:08:13 ARTICLE