{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T08:52:26Z","timestamp":1747212746843,"version":"3.40.5"},"reference-count":18,"publisher":"Modestum Ltd","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["PEDAGOGICAL RES"],"published-print":{"date-parts":[[2024,4,1]]},"abstract":"<jats:p xml:lang=\"en\">This work is the result of a master\u2019s investigation in Brazil, which discusses the teaching of the parabola in the initial training of mathematics teachers. Our theoretical framework addresses the relationship between intuition and the dialectics of the theory of didactic situations, which supports the analysis of the results of this study Its objective was to identify and register categories of intuitive reasoning manifested by the subjects when solving a didactic situation involving the parabola with GeoGebra software contribution. The methodology adopted was didactic engineering, experimented with eight students in initial training at a Brazilian public university, among 6&lt;sup&gt;th&lt;\/sup&gt; and 9&lt;sup&gt;th&lt;\/sup&gt; undergraduate semesters. The posterior analysis and validation allowed us to verify the need to discuss the parabola, articulating its geometric, algebraic, and analytical views, as well as to reinforce the importance of its teaching with the use of technology.<\/jats:p>","DOI":"10.29333\/pr\/14340","type":"journal-article","created":{"date-parts":[[2024,3,8]],"date-time":"2024-03-08T10:59:27Z","timestamp":1709895567000},"page":"em0198","source":"Crossref","is-referenced-by-count":1,"title":["Parabola or second-degree polynomial function exploration in initial teacher training: Integrating intuition and didactic situations"],"prefix":"10.29333","volume":"9","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5507-2691","authenticated-orcid":false,"given":"Renata Te\u00f3filo","family":"de Sousa","sequence":"first","affiliation":[{"name":"Secretary of Education of Cear\u00e1, Sobral, BRAZIL"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3710-1561","authenticated-orcid":false,"given":"Francisco R\u00e9gis Vieira","family":"Alves","sequence":"additional","affiliation":[{"name":"Federal Institute of Science, Education and Technology of Cear\u00e1, Sobral, BRAZIL"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2767-0998","authenticated-orcid":false,"given":"Helena Maria Barros","family":"de Campos","sequence":"additional","affiliation":[{"name":"University of Tr\u00e1s-os-Montes and Alto Douro, Vila Real, PORTUGAL"},{"name":"Research Centre on Didactics and Technology in the Education of Trainers-CIDTFF, University of Aveiro, PORTUGAL"}]}],"member":"11882","reference":[{"key":"421934","doi-asserted-by":"crossref","unstructured":"Almouloud, S. A., & da Silva, M. J. F. (2012). Engenharia did\u00e1tica: Evolu\u00e7\u00e3o e diversidade [Didactic engineering: Evolution and diversity]. Revemat: Revista Eletr\u00f4nica de Educa\u00e7\u00e3o Matem\u00e1tica [Electronic Magazine of Mathematics Education], 7(2), 22-52. https:\/\/doi.org\/10.5007\/1981-1322.2012v7n2p22","DOI":"10.5007\/1981-1322.2012v7n2p22"},{"key":"421935","doi-asserted-by":"crossref","unstructured":"Alves, F. R. V. (2017). Did\u00e1tica das ci\u00eancias e matem\u00e1tica (DCEM): Surgimento e implica\u00e7\u00f5es para a forma\u00e7\u00e3o do professor [Didactics of science and mathematics (DCEM): Emergence and implications for teacher training]. Investiga\u00e7\u00f5es em Ensino de Ci\u00eancias [Research in Science Teaching], 22(3), 291-320. https:\/\/doi.org\/10.22600\/1518-8795.ienci2017v22n3p291","DOI":"10.22600\/1518-8795.ienci2017v22n3p291"},{"key":"421936","doi-asserted-by":"crossref","unstructured":"Artigue, M. (2020). M\u00e9thodologies de recherche en didactique des math\u00e9matiques: O\u00f9 en sommes-nous? [Research methodologies in mathematics education: Where are we?]. Revista Educa\u00e7\u00e3o Matem\u00e1tica e Pesquisa [Mathematics Education and Research Journal], 22(4), 25-64. https:\/\/doi.org\/10.23925\/1983-3156.2020v22i3p025-064","DOI":"10.23925\/1983-3156.2020v22i3p025-064"},{"key":"421937","doi-asserted-by":"crossref","unstructured":"Bohrer, A., & da Silva Tinti, D. (2021). Mapeamento de pesquisas sobre a fun\u00e7\u00e3o quadr\u00e1tica em contextos de ensino e\/ou aprendizagem da matem\u00e1tica [Mapping research on the quadratic function in mathematics teaching and\/or learning contexts]. Educa\u00e7\u00e3o Matem\u00e1tica Pesquisa [Mathematics Education Research], 23(1), 201-230. https:\/\/doi.org\/10.23925\/19833156.2021v23i1p201-230","DOI":"10.23925\/1983-3156.2021v23i1p201-230"},{"key":"421938","unstructured":"Brousseau, G. (2002). Theory of didactical situations in mathematics: Didactique des math\u00e9matiques [Didactics of mathematics]. Kluwer Academic Publishers."},{"key":"421939","doi-asserted-by":"crossref","unstructured":"Brousseau, G., & Gibel, P. (2005). Didactical handling of students\u2019 reasoning processes in problems solving situations. In C. Laborde, M. J. Perr\u00edn-Glorian, & A. Sierpinska (Eds.), Beyond the apparent banality of the mathematics classroom (pp. 13-58). Springer. https:\/\/doi.org\/10.1007\/0-387-30451-7_2","DOI":"10.1007\/0-387-30451-7_2"},{"key":"421940","unstructured":"Cerqueira, A. A. (2015). Par\u00e1bola e suas aplica\u00e7\u00f5es [Parabola and its applications] [Master\u2019s thesis, Universidade Federal da Bahia]."},{"key":"421941","doi-asserted-by":"crossref","unstructured":"De Sousa, R. T., Alves, F. R. V., & Aires, A. P. (2023). Categories of intuitive reasoning in the teaching of parabolas: A structured practice in didactic engineering. International Electronic Journal of Mathematics Education, 18(4), em0746. https:\/\/doi.org\/10.29333\/iejme\/13514","DOI":"10.29333\/iejme\/13514"},{"key":"421942","doi-asserted-by":"crossref","unstructured":"De Sousa, R. T., Alves, F. R. V., & Souza, M. J. A. (2022). Aspectos da par\u00e1bola e da caten\u00e1ria: Um estudo \u00e0 luz da geometria din\u00e2mica [Aspects of the parabola and the catenary: A study in the light of dynamic geometry]. Revemat: Revista Eletr\u00f4nica de Educa\u00e7\u00e3o Matem\u00e1tica [Electronic Journal of Mathematics Education], 17, 1-22. https:\/\/doi.org\/10.5007\/1981-1322.2022.e88156","DOI":"10.5007\/1981-1322.2022.e88156"},{"key":"421943","doi-asserted-by":"crossref","unstructured":"Feltes, C. M., & Puhl, C. S. (2016). Gr\u00e1fico da fun\u00e7\u00e3o quadr\u00e1tica: Uma proposta de ensino potencialmente significative [Graph of the quadratic function: A potentially significant teaching proposal]. Scientia cum Industria [Science with Industry], 4(4), 202-206. https:\/\/doi.org\/10.18226\/23185279.v4iss4p202","DOI":"10.18226\/23185279.v4iss4p202"},{"key":"421944","unstructured":"Fischbein, E. (1987). Intuition in science and mathematics: An educational approach. Mathematics Educational Library."},{"key":"421945","unstructured":"Leonardo, F. M. (2016). Conex\u00f5es com a matem\u00e1tica [Connections to mathematics]. Moderna."},{"key":"421946","unstructured":"Lima, E. L. (2001). Exame de textos: An\u00e1lise de livros de matem\u00e1tica para o ensino m\u00e9dio [Text exam: Analysis of mathematics books for high school]. SBM\/IMPA."},{"key":"421947","unstructured":"Lima, E. L. (2014). Geometria anal\u00edtica e algebra linear [Analytic geometry and linear algebra]. IMPA."},{"key":"421948","unstructured":"Lucena, R., & Gitirana, V. (2016). Articula\u00e7\u00f5es internas \u00e0 matem\u00e1tica: A par\u00e1bola e a fun\u00e7\u00e3o quadr\u00e1tica com o GeoGebra [Internal articulations in mathematics: The parabola and the quadratic function with GeoGebra]. Educa\u00e7\u00e3o Matem\u00e1tica em Revista [Mathematics Education in Journal], 51, 25-34."},{"key":"421949","unstructured":"Macedo, H. R. (2015). Estudo sistem\u00e1tico das parabolas [Systematic study of the parabolas] [Master\u2019s thesis, Universidade Federal da Para\u00edba]."},{"key":"421950","unstructured":"Siqueira, C. A. F. (2016). Um estudo did\u00e1tico das c\u00f4nicas: Quadros, registros e pontos de vista [A didactic study of conics: Tables, records and points of view] [Master\u2019s thesis, Pontif\u00edcia Universidade Cat\u00f3lica de S\u00e3o Paulo]."},{"key":"421951","unstructured":"Venturi, J. J. (2003). C\u00f4nicas e qu\u00e1dricas [Conics and quadrics]. Livrarias Curitiba."}],"container-title":["Pedagogical Research"],"original-title":[],"link":[{"URL":"https:\/\/www.pedagogicalresearch.com\/download\/parabola-or-second-degree-polynomial-function-exploration-in-initial-teacher-training-integrating-14340.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,8]],"date-time":"2024-03-08T10:59:38Z","timestamp":1709895578000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.pedagogicalresearch.com\/article\/parabola-or-second-degree-polynomial-function-exploration-in-initial-teacher-training-integrating-14340"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,4,1]]},"references-count":18,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2024]]}},"alternative-id":["14340"],"URL":"https:\/\/doi.org\/10.29333\/pr\/14340","relation":{},"ISSN":["2468-4929"],"issn-type":[{"type":"electronic","value":"2468-4929"}],"subject":[],"published":{"date-parts":[[2024,4,1]]}}}