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Using an artistic approach to the teaching of non-Euclidean geometry in a professional development course for mathematics teachers

2019Conference object Open access
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dc.contributor.authorHall, Andreia
dc.contributor.authorBrás, Isabel
dc.contributor.authorPais, Sónia
dc.date.accessioned2021-07-19T14:37:51Z
dc.date.available2021-07-19T14:37:51Z
dc.date.issued2019
dc.description.abstractElliot Eisner (1933-2014), a pioneer in arts education, suggested that an artistic approach to education could improve its quality and lead to a new vision for teaching and learning [1]. This is true for any subject, including mathematics. Geometry related topics make a perfect setting for a deeper contribution of art to education and allow for a complete symbiosis between the teaching of mathematics and an artistic education. One such topic is the study of non-Euclidean geometry which is now briefly addressed in the middle school mathematics curriculum in Portugal [2]. We believe that the learning and teaching of non-Euclidean geometry can be facilitated by taking the role of an artist and creating works of art, eventually inspired by renowned artists such as M.C. Escher. In this paper, we present some results of a professional development course for mathematics teachers where the participants studied basic non-Euclidean geometry concepts and created ceramic pieces using the Poincaré disk. The course took place in a Portuguese university, from January to March 2018, and involved 20 teachers of grades 1 to 12. The authors have developed a qualitative case study to evaluate how an artistic approach to the teaching of non-Euclidean geometry is perceived, by the mathematics teachers, as a contribution to the learning process. Overall, the activities developed have proved to be successful examples of interdisciplinary methodologies that bring into the teaching of mathematics usual procedures in the teaching of the arts. Moreover, the artistic approach followed during the course helped the teachers develop their geometric competences concerning non-Euclidean geometry in a more solid appropriation and application of the geometric concepts involved.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationHall, A., Brás, I. & Pais, S. (2019, March 11-13). Using an artistic approach to the teaching of non-Euclidean geometry in a professional development course for mathematics teachers [Conference paper]. INTED2019 International Technology, Education and Development Conference, Valencia, Spain. https://doi.org/10.21125/inted.2019.0775pt_PT
dc.identifier.doi10.21125/inted.2019.0775pt_PT
dc.identifier.isbn978-84-09-08619-1
dc.identifier.issn2340-1079
dc.identifier.urihttp://hdl.handle.net/10400.8/5901
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherIATEDpt_PT
dc.relationCenter for Research and Development in Mathematics and Applications
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectProfessional developmentpt_PT
dc.subjectArts and Mathematicspt_PT
dc.subjectNon-Euclidean geometrypt_PT
dc.subjectMathematics educationpt_PT
dc.titleUsing an artistic approach to the teaching of non-Euclidean geometry in a professional development course for mathematics teacherspt_PT
dc.typeconference object
dspace.entity.typePublication
oaire.awardTitleCenter for Research and Development in Mathematics and Applications
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F04106%2F2019/PT
oaire.citation.endPage2930pt_PT
oaire.citation.startPage2923pt_PT
oaire.citation.titleINTED2019 International Technology, Education and Development Conference, Valencia, Spain, March 11-13, 2019pt_PT
oaire.fundingStream6817 - DCRRNI ID
person.familyNameHall
person.familyNamePais
person.givenNameAndreia Oliveira
person.givenNameSónia
person.identifier.ciencia-idFD19-2486-6D2E
person.identifier.ciencia-id5019-B8B4-1E45
person.identifier.orcid0000-0001-8759-7927
person.identifier.orcid0000-0003-2834-2267
person.identifier.ridK-7902-2018
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typeconferenceObjectpt_PT
relation.isAuthorOfPublication84a4a215-a045-46ab-b769-97911cb291c0
relation.isAuthorOfPublication47836870-8ba6-41a7-9dfb-b4b8db896b68
relation.isAuthorOfPublication.latestForDiscovery47836870-8ba6-41a7-9dfb-b4b8db896b68
relation.isProjectOfPublication42ba4b66-8473-451e-88db-8598484579a8
relation.isProjectOfPublication.latestForDiscovery42ba4b66-8473-451e-88db-8598484579a8

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