{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,24]],"date-time":"2025-10-24T19:22:03Z","timestamp":1761333723692,"version":"build-2065373602"},"reference-count":0,"publisher":"Editora e Distribuidora Educacional","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["JIEEM"],"abstract":"<jats:p>Los autores de los libros de Historia de las Matem\u00e1ticas dedican mucho tiempo a la discusi\u00f3n sobre aspectos ilustrativos, con sesgo o impronta de curiosidad sobre la manifestaci\u00f3n de la sucesi\u00f3n de Fibonacci y, de manera recurrente, no explican un car\u00e1cter epistemol\u00f3gico y un proceso hist\u00f3rico-evolutivo al respecto. As\u00ed, en el presente trabajo encontramos varios ejemplos del enfoque combinatorio relacionado con la sucesi\u00f3n de Fibonacci, en los que su proceso de generalizaci\u00f3n nos permite discutir la sucesi\u00f3n Tribonacci, Tetranacci, Pentanacci. Finalmente, presentamos un apartado con la noci\u00f3n de tablero hexagonal y otros ejemplos de tableros que representan un elemento estudiado por algunos investigadores en la actualidad, hecho que contribuye al incremento de una cultura matem\u00e1tica del docente en esta \u00e1rea.\nPalabras-clave: Secuencias Num\u00e9ricas. Historia de las Matem\u00e1ticas. Enfoque Combinatorio. Tablero.\nAbstract\nThe authors of the History of Mathematics books dedicate a lot of time to the discussion about illustrative aspects, with a bias or imprint of curiosity about the manifestation of the Fibonacci sequence and, in a recurrent way, they do not explain an epistemological and historical-evolutionary process about it. Thus, in the present work we found several examples of the combinatorial approach related to the Fibonacci sequence, in which its generalization process allows us to discuss the sequence Tribonacci, Tetranacci, Pentanacci. Finally, we present a section with the notion of hexagonal board and other examples of boards that represent an element studied by some researchers today, a fact that contributes to the increase of a mathematical culture of the teacher in this area.\nKeywords: Numerical Sequence. History of Mathematics. Combinatorial Approach. Game Board.<\/jats:p>","DOI":"10.17921\/2176-5634.2025v18n2p144-152","type":"journal-article","created":{"date-parts":[[2025,10,24]],"date-time":"2025-10-24T19:17:49Z","timestamp":1761333469000},"page":"144-152","source":"Crossref","is-referenced-by-count":0,"title":["Un Enfoque Combinatorio de las Secuencias de Fibonacci, Tribonacci, Tetranacci y la Noci\u00f3n de Tabler"],"prefix":"10.17921","volume":"18","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3710-1561","authenticated-orcid":false,"given":"Francisco Regis Vieira","family":"Alves","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1966-7097","authenticated-orcid":false,"given":"Renata Passos Machado","family":"Vieira","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6917-5093","authenticated-orcid":false,"given":"Paula Maria Machado Cruz","family":"Catarino","sequence":"additional","affiliation":[]}],"member":"7245","published-online":{"date-parts":[[2025,9,30]]},"container-title":["Jornal Internacional de Estudos em Educa\u00e7\u00e3o Matem\u00e1tica"],"original-title":[],"deposited":{"date-parts":[[2025,10,24]],"date-time":"2025-10-24T19:17:53Z","timestamp":1761333473000},"score":1,"resource":{"primary":{"URL":"https:\/\/jieem.pgsscogna.com.br\/jieem\/article\/view\/13072"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,9,30]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2025,10,7]]}},"URL":"https:\/\/doi.org\/10.17921\/2176-5634.2025v18n2p144-152","relation":{},"ISSN":["2176-5634"],"issn-type":[{"type":"electronic","value":"2176-5634"}],"subject":[],"published":{"date-parts":[[2025,9,30]]}}}