{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T19:43:50Z","timestamp":1740167030385,"version":"3.37.3"},"reference-count":27,"publisher":"FapUNIFESP (SciELO)","issue":"64","license":[{"start":{"date-parts":[[2019,8,1]],"date-time":"2019-08-01T00:00:00Z","timestamp":1564617600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2019,8,1]],"date-time":"2019-08-01T00:00:00Z","timestamp":1564617600000},"content-version":"am","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2019,8,1]],"date-time":"2019-08-01T00:00:00Z","timestamp":1564617600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Bolema"],"abstract":"<jats:p>Resumo Neste artigo analisamos, com base num quadro te\u00f3rico sobre a compara\u00e7\u00e3o multiplicativa, a evolu\u00e7\u00e3o conceituai de Bruno, aluno do 6.\u00b0 ano (11 anos), focando-nos na articula\u00e7\u00e3o adaptativa e flex\u00edvel de conceitos, estrat\u00e9gias, rela\u00e7\u00f5es num\u00e9ricas, propriedades das opera\u00e7\u00f5es e representa\u00e7\u00f5es. O modo como explora as cinco tarefas propostas no \u00e2mbito de uma experi\u00eancia de ensino indica-nos que a constru\u00e7\u00e3o conceitual da compara\u00e7\u00e3o multiplicativa de Bruno se situa na liga\u00e7\u00e3o entre fator multiplicativo e raz\u00e3o escalar. O seu conhecimento sobre os n\u00fameros e as suas rela\u00e7\u00f5es permite-lhe usar diferentes representa\u00e7\u00f5es dos racionais na tradu\u00e7\u00e3o das estrat\u00e9gias que implementa. Estas variam entre aditivas e multiplicativas e, nas \u00faltimas, predomina a utiliza\u00e7\u00e3o da linha num\u00e9rica dupla com apenas dois pontos. A an\u00e1lise da evolu\u00e7\u00e3o de Bruno valida e amplia o quadro conceitual te\u00f3rico adotado inicialmente.<\/jats:p>","DOI":"10.1590\/1980-4415v33n64a06","type":"journal-article","created":{"date-parts":[[2019,7,31]],"date-time":"2019-07-31T19:45:34Z","timestamp":1564602334000},"page":"568-590","source":"Crossref","is-referenced-by-count":0,"title":["Estrat\u00e9gias, Representa\u00e7\u00f5es e Flexibilidade na Resolu\u00e7\u00e3o de Tarefas de Compara\u00e7\u00e3o Multiplicativa"],"prefix":"10.1590","volume":"33","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6711-2646","authenticated-orcid":false,"given":"Gra\u00e7a","family":"Cebola","sequence":"first","affiliation":[{"name":"Instituto Polit\u00e9cnico de Portalegre, Portugal; Universidade de Lisboa, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0526-7332","authenticated-orcid":false,"given":"Joana","family":"Brocardo","sequence":"additional","affiliation":[{"name":"Instituto Polit\u00e9cnico de Set\u00fabal, Portugal"}]}],"member":"530","published-online":{"date-parts":[[2019,8]]},"reference":[{"key":"ref1","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1080\/10986060903022714","article-title":"Developing Prospective Elementary Teachers\u2019 Flexibility in the domain of Proportional Reasoning","volume":"11","author":"BERK D.","year":"2009","journal-title":"Mathematical Thinking and Learning"},{"key":"ref2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1037\/h0044160","article-title":"The course of cognitive growth","volume":"19","author":"BRUNER J. 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