Promotion of spatial visualization with GeoGebra and Qubism 3D software
DOI:
https://doi.org/10.1590/S1678-4634202450275201enKeywords:
Qubism 3d Modeling, GeoGebra dynamic geometry software, 3d spatial visualizationAbstract
Technology has driven new forms of teaching and learning with applications adapted to the various technological resources. For the discipline of Technical Drawing and Descriptive Geometry, technology has brought computer simulations that allow the visualization of experiences in 2D and 3D environments. In Mozambique, teachers adopt a traditional teaching method, without using technological resources, which can make it difficult to understand the content related to Orthogonal Projection and Cylindrical Section. However, in this study, we employed simulations using the Qubism 3D modeling software, as well as the GeoGebra dynamic geometry software, adapted for smartphones. Computer Simulations allow the construction of geometric elements in a dynamic way. For this reason, the objective of this research was to apply spatial visualization tests to verify whether the two software programs mentioned really facilitate the learning of the topics Orthogonal Projection and Cylindrical Section. This study was motivated by the fact that secondary school students have difficulty in spatially perceiving 3D representations and their transposition to the 2D drawing sheet. It was a quasi-experimental case study, in a mixed qualitative and quantitative approach, whose instruments used were pre-tests, post-tests, the Cube Test and the Santa Barbara Solids Test. A total of 100 students involved, randomly distributed in groups (experimental and control). From the analysis of the results of the application of the spatial visualization tests, the data suggest that the students developed spatial cognitive skills. The data also indicate that the Qubism 3D Modeling applications and the GeoGebra dynamic geometry software promoted spatial visualization skills in the experimental group. The research leaves open future investigations for applicability of technological applications in the study of various other subjects in the disciplines of Technical Drawing and Descriptive Geometry.
Downloads
References
AMADO, João. Manual de investigação qualitativa em educação: manual of qualitative research in education. 3. ed. Coimbra: Universidade de Coimbra. 2017. Available from: https://digitalisdsp.uc.pt/jspui/bitstream/10316.2/35271/1/Manual%20de%20investiga%C3%A7%C3%A3o%20qualitativa%20em%20educa%C3%A7%C3%A3o.pdf . Access on: March 12, 2023.
ANAMOVA, Rushana; LEONOVA, Svetlana; NARTOVA, Lidiya; TERESHCHENKO, Victor. Digital spatial models’ technology as a development tool of the intellectual creative aspect within education. Serbia. TEM Journal, v. 9, n. 3, 2020. Available from: Available from: https://doi.org/10.18421/TEM93-45 . 2020. Access on: June 13, 2023.
» https://doi.org/10.18421/TEM93-45.
» https://doi.org/10.18421/TEM93-45
ANTÓNIO, Gilberto Luis; COUTINHO, Clara Pereira. A integração curricular das TIC no sistema de ensino em Moçambique: iniciativas em curso. In: CONGRESSO INTERNACIONAL TIC E EDUCAÇÃO, 2., 2012, Lisboa.: [s. n.], 2012. p. 108-124. Access on: January 30, 2023.
ASSIS, Luciana Elias de. Educação e tecnologias: o novo ritmo da informação educação e tecnologias: o novo ritmo da informação. Bolema, Campinas, v. 295, n. 1, 2015. Available from: http://dx.doi.org/10.1590/1980 -4415v29n51r04. Access on: June 14, 2023.
» https://doi.org/10.1590/1980-4415v29n51r04.
» http://dx.doi.org/10.1590/1980
BARANOVÁ, Lucia; KATRENICOVÁ, Ivana. Role of Descriptive geometry course in development of students’ spatial visualization skills. Eger: Annales Mathematicae et Informaticae, v. 49, 2018. Available from: https://doi.org/10.33039/ami.2018.04.001 . Access on: May 17, 2023.
» https://doi.org/10.33039/ami.2018.04.001.
» https://doi.org/10.33039/ami.2018.04.001
CASTILLO, Luis Andrés; GUTIÉRREZ, Rafael Enrique Gutiérrez; SÁNCHEZ, Ivonne. O uso do comando sequência na Elaboração de Simuladores com o software GeoGebra. Revista do Instituto GeoGebra Internacional. São Paulo, v. 9, n. 3, p. 106-119, 2020. Available from: https://doi.org/10 .2 3925/2237-9657.2020.v9i3p106-119. Access on: March 12, 2023.
CHIVAI, Cacilda Helena; SOARES, Armando Assunção; CATARINO, Paula. Application of GeoGebra in the teaching of descriptive geometry: sections of solids. Mathematics, Berna, v. 10, n. 17, 2022b. Available from: https://doi.org/10.3390/math10173034 . Access on: March 12, 2023.
» https://doi.org/10.3390/math10173034.
» https://doi.org/10.3390/math10173034
CHIVAI, Cacilda Helena; SOARES, Armando Assunção; CATARINO, Paula. Visualização espacial de projeções com o Qubism 3D Modeling: teste do Cubo. In: SILVA, Elisabete Mendes; MESQUITA, Cristina; PIRES, Manuel Vara; LOPES, Rui Pedro; ENCONTRO INTERNACIONAL DE FORMAÇÃO NA DOCÊNCIA (INCTE), 6., Bragança, 2022. Atas de Conferência Internacional, Bragança: INCTE, 2022a. Available from: http://hdl.handle.net/10198/25401 . Access on: March 12, 2023.
» http://hdl.handle.net/10198/25401
COHEN, Cheryl; BAIRAKTAROVA, Diana. A cognitive approach to spatial visualization assessment for first-year engineering students. Erie: The Engineering Design Graphics Journal, Washington, D. C., v. 82, n. 3, 2018. Available from: http://www.edgj.org/index.php/EDGJ/article/view/702 . Access on: June 10, 2023.
» http://www.edgj.org/index.php/EDGJ/article/view/702
COHEN, Cheryl; HEGARTY, Mary. Sources of difficulty in imagining cross sections of 3D objects. Proceedings of the Annual Meeting of the Cognitive Science Society, California. v. 29, n. 29, p. 179-184, 2007. Available from: https://escholarship.org/content/qt98p7t49b/qt98p7t49b.pdfl . Access on: June 13, 2023.
» https://escholarship.org/content/qt98p7t49b/qt98p7t49b.pdfl
COHEN, Louis; MANION, Lawrence; MORRISON, Keith. 7. ed. Research methods in education. 7. ed. London: Routledge, 2011. Available from: https://doi.org/10.4324/9780203720967 . Access on: March 12, 2023.
» https://doi.org/10.4324/9780203720967.
» https://doi.org/10.4324/9780203720967
COHEN, Louis; MANION, Lawrence; MORRISON, Keith. Research methods in education. 8. ed. Abingdon: Routledge, 2017. Available from: https://doi.org/10.4324/9781315456539 . Access on: June 19, 2023.
» https://doi.org/10.4324/9781315456539.
» https://doi.org/10.4324/9781315456539
COSSA, José. Processo de ensino e aprendizagem durante a vigência da pandemia de Covid-19 em Moçambique-Maputo: dificuldades, experiências, ensinamentos e desafios – 2020 e 2021. Njinga & Sepé: Revista Internacional de Culturas, Línguas Africanas e Brasileiras, Salvador, 2. ed., n. esp., 2022. Available from: https://revistas.unilab.edu.br/index.php/njingaesape/article/view/1053 . Access on: April 18, 2023.
» https://revistas.unilab.edu.br/index.php/njingaesape/article/view/1053
COULON, Alain. Etnometodologia e Educação. Petrópolis: Vozes. São Paulo, 1995. Available from: https://edisciplinas.usp.br/pluginfile.php/4216052/mod_resource/content/0/AULA11_Coulon-Etnometodologia.pdf . Access on: June 16, 2023.
COUTINHO, Clara Pereira. Metodologia de investigação em ciências sociais e humanas: teoria e prática. 2. ed. Aveiro: Leya, 2011. Available from: https://pt.slideshare.net/barbaramorim/2011-metodologia-de-investigao-em-cincias-sociais-e-humanas-teoria-e-prtica . Access on: June 7, 2023.
DERE, Ebru; KALELIOGLU, Filiz. The effects of using web-based 3d design environment on spatial visualisation and mental ro-tation abilities of secondary school students. Informatics in Education, Washington, D. C., v. 19, n. 3, 2020. Available from: https://doi.org/10.15388/infedu.2020.18 . 2020. Access on: April 18, 2023.
» https://doi.org/10.15388/infedu.2020.18.
» https://doi.org/10.15388/infedu.2020.18
FIANTIKA, Feny Rita; MAKNUN, Churun; BUDAYASA, Ketut; LUKITO, Agung. Analysis of students’ spatial thinking in geometry: 3D object into 2D representation. Journal of Physics , Philadelphia, n. 101, 2018. Available from: https://doi.org/10.1088/1742-6596/1013/1/012140 . Access on: April 18, 2023.
» https://doi.org/10.1088/1742-6596/1013/1/012140.
» https://doi.org/10.1088/1742-6596/1013/1/012140
FONSECA, Maria da Conceição Ferreira Reis; CALDEIRA, Maria Carolina da Silva; SOUZA, Maria Celeste Reis Fernandes de. Gênero e Matemática: cadeias discursivas e produção da diferença nos artigos acadêmicos publicados no Brasil entre 2009 e 2019. Bolema, São Paulo, v. 36, p. 19-46, 2022. Available from: https://doi.org/10.1590/1980-4415v36n72a02 . Access on: March 12, 2023.
» https://doi.org/10.1590/1980-4415v36n72a02.
» https://doi.org/10.1590/1980-4415v36n72a02
GALRINHO, António. SÓLIDOS II.10: Scribd. 2010. Available from: https://antoniogalrinho.files.wordpress.com/2010/07/08-sc3b3lidos-ii1.pdf . 2010. Access on: June 11, 2023.
» https://antoniogalrinho.files.wordpress.com/2010/07/08-sc3b3lidos-ii1.pdf
GIL, Henrique. As TIC, os nativos digitais e as práticas de ensino supervisionadas: um novo espaço e uma nova oportunidade. In: Escola Superior de Educação e Ciências Sociais do Instituto Politécnico de Leiria. Atas da Conferência Internacional Investigação, Práticas e Contextos em Educação. Leiria. p. 89-95, 2014. Available from: https://api.semanticscholar.org/CorpusID:152839543 . Access on: April 18, 2023.
» https://api.semanticscholar.org/CorpusID:152839543
JESUS, Andressa Rezende de; OLIVEIRA, Beatriz de Jesus; DE OLIVEIRA, Lívia Fernanda Sandes. Uso do software geogebra como alternativa ao ensino da geometria descritiva na engenharia. Aracaju. Caderno de Graduação em Ciências Exatas e Tecnológicas, Aracaju, v. 5, n. 2, 2019. Available from: https://periodicos.set.edu.br/cadernoexatas/article/view/6993 . Access on: June 15, 2023.
» https://periodicos.set.edu.br/cadernoexatas/article/view/6993
KLEMER, Anat; RAPOPORT, Shirley. Origami and GeoGebra activities contribute to geometric thinking in second graders. Eastbourne. Eurasia Journal of Mathematics, Eastbourne, v. 16, n. 11, 2020. Available from: https://doi.org/10.29333/ejmste/8537.2020 . Access on: May 14, 2023.
» https://doi.org/10.29333/ejmste/8537.
» https://doi.org/10.29333/ejmste/8537.2020
KRAMARENKO, Tetiana; PYLYPENKO, Olha; MUZYKA, Ivan. Application of GeoGebra in Stereometry teaching. In: WORKSHOP ON CLOUD TECHNOLOGIES IN EDUCATION, 7. 2020, Kryvyi Rih. Atas CTE Workshop Proceedings [S. l.: s. n.], 2020. p. 705-718. Available from: http://ds.knu.edu.ua/jspui/handle/123456789/2670 . Access on: June 15, 2023.
» http://ds.knu.edu.ua/jspui/handle/123456789/2670
LAVICZA, Zsolt; ABAR, Celina Pereira; TEJERA, Mathias. Spatial geometric thinking and its articulation with the visualization and manipulation of objects in 3D. Educação Matemática Pesquisa, São Paulo, v. 25, n. 2, p. 258-277, 2023. Available from: https://doi.org/10.23925/1983-3156.2023v25i2p258-277 . Access on: May 12, 2023.
» https://doi.org/10.23925/1983-3156.2023v25i2p258-277.
» https://doi.org/10.23925/1983-3156.2023v25i2p258-277
LOPES, Vasco Mendes. Espaço visual, ensino secundário unificado: 8. ano. Lisboa: Asas 2, 1991.
MA’RIFATIN, Siti; AMIN, Siti; SISWONO, Tatag Yuli Eko. Students’ mathematical ability and spatial reasoning in solving geometric problem. Journal of Physics, Philadelphia, v. 1157, n. 4, 2019. Available from: https://10.1088/1742-6596/1157/4/042062 . Access on: June 15, 2023.
» https://10.1088/1742-6596/1157/4/042062
OLIVEIRA, Daniele Vargas; STORMOWSKI, Vandoir. Visualização espacial no ensino fundamental: rotações no GeoGebra. Revista Novas Tecnologias na Educação, Porto Alegre. v. 19, n. 1, p. 574-583, 2021. Available from: https://seer.ufrgs.br/renote/article/view/118549 . Access on: June 15, 2023.
» https://seer.ufrgs.br/renote/article/view/118549
OMAR, Marlissa Ali Dayana Farzeeha; NASIR, Ahmad Nabil; SUNAR, Mohd Shahrizal. AREDApps: integrating mobile augmented reality in orthographic projection teaching and learning. International Journal of Recent Technology and Engineering, v. 8, n. 1C2, p. 821-825, 2019. Available from: https://www.ijrte.org/wp-content/uploads/papers/v8i1C2/A11400581C219.pdf . Access on: June, 2023.
» https://www.ijrte.org/wp-content/uploads/papers/v8i1C2/A11400581C219.pdf
PIAGET, Jean. A formação do símbolo na criança: imitação, jogo e sonho imagem e representação. 3. ed. Lisboa: Livros Técnicos e Científicos, 2004. Available from: http://hdl.handle.net/10400.2/7575 . Access on: June 15, 2023.
» http://hdl.handle.net/10400.2/7575
PONCE, Omar; PAGAN-MALDONADO, Nellie. Mixed method research in education: capturing the complexity of the professionalism. International Journal of Educational Excellence, Madrid. v. 1, n. 1, p. 111-135, 2015. Available from: https://doi.org/10.18562/ijee.2015.0005 . Access on: April 6, 2023.
» https://doi.org/10.18562/ijee.2015.0005.
» https://doi.org/10.18562/ijee.2015.0005
PRIETO, Gerardo; VELASCO, Angela Dias. Visualização espacial, raciocínio indutivo e rendimento acadêmico em desenho técnico. Psicologia Escolar e Educacional, Campinas, v. 10, 2006. Available from: https://doi.org/10.1590/S1413-85572006000100002 . Access on: May 12, 2023.
» https://doi.org/10.1590/S1413-85572006000100002.
» https://doi.org/10.1590/S1413-85572006000100002
RABASA, Enrique. La Gournerie versus Monge. Nexus Network Journal, Turim, v. 13, n. 3, 715-735. 2011. Available from: https://doi.org/10.1007/s00004-011-0088-y . 2011. Access on: April 6, 2023.
» https://doi.org/10.1007/s00004-011-0088-y.
» https://doi.org/10.1007/s00004-011-0088-y
SILVA, Gabriel Teixeira da; WECHSLER, Solange Muglia; MARTINS, Cíntia Canato; VANNI, Pedro. Gênero e autopercepção das habilidades intelectuais e criativas. Revista Ibero-Americana de Criatividade e Inovação, Porto Alegre, v. 3, p. 1-12, 2022. Available from: https://recriai.emnuvens.com.br/revista/article/view/74 . Access on: June 15, 2023.
» https://recriai.emnuvens.com.br/revista/article/view/74
SILVA, Quezia de Oliveira Vargas; VICTER, Eline das Flores. Aprendizagem significativa e a geometria espacial: uma abordagem com o uso do Geogebra 3D. Revista Uniabeu, Belford Roxo, v. 10, n. 25, 2017. Access on: May 12, 2023.
SINGO, Felisberto. Tecnologias emergentes. Nairobi: Universidade Virtual Africana, 2017. Available from: https://docplayer.com.br/123177816-Tecnologias-emergentes.html . Access on: June 15, 2023.
» https://docplayer.com.br/123177816-Tecnologias-emergentes.html
SUZUKI, Kenjiro. Activities of the Japan society for graphic science research and education. Journal Geometry Graphics, Lemgo, v. 6, n. 2, 2002. Access on: May 10, 2023.
SZABÓ, Tibor; BABÁLY, Bernadett; PATAIOVÁ, Helena; KÁRPÁTI, Andrea. Development of spatial abilities of preadolescents: What works? Education Sciences, Basel. v. 13, n. 3, p. 312, 2023. Available from: https://doi.org/10.3390/educsci13030312 . Access on: May 12, 2023.
» https://doi.org/10.3390/educsci13030312.
» https://doi.org/10.3390/educsci13030312
TRIUTAMI, Tabita Wahyu; NOVITASARI, Dwi; TYANINGSIH, Ratna Yulis; ELVIERAYANI, Rivatul Ridho; LU’LUILMAKNUN, Ulfa. Visual-spatial intelligence level of junior high school students: what difficulties are experienced by the students. Philadelphia. Journal of Physics, v. 1776, n. 1, 2021. Available from: https://doi.org/1088/1742-6596/1776/1/012033 . 2021. Access on: May 11, 2023.
» https://doi.org/1088/1742-6596/1776/1/012033
VYGOTSK, Lev Semenovich; LURIA, Alexander Romanovich; LEONTIEV, Alex. Linguagem, desenvolvimento e aprendizagem. 11. ed. São Paulo: Ícone. 1988. Available from: https://www.unifal-mg.edu.br/humanizacao/wp-content/uploads/sites/14/2017/04/VIGOTSKI-Lev-Semenovitch-Linguagem-Desenvolvimento-e-Aprendizagem.pdf . Access on: February 8, 2023.
Published
Issue
Section
License
Copyright (c) 2024 Educação e Pesquisa
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors assume exclusive responsibility for the concepts expressed in their articles, which do not necessarily reflect the journal’s opinion.
Permission to photocopy all or part of the material published in the journal is granted provided that the original source of publication be assigned.
