{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,14]],"date-time":"2026-03-14T10:27:35Z","timestamp":1773484055872,"version":"3.50.1"},"reference-count":0,"publisher":"Pontifical Catholic University of Sao Paulo (PUC-SP)","issue":"2","license":[{"start":{"date-parts":[[2022,11,12]],"date-time":"2022-11-12T00:00:00Z","timestamp":1668211200000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IGISP"],"abstract":"<jats:p>Neste artigo estuda-se e discute-se a explora\u00e7\u00e3o de v\u00e1rias opera\u00e7\u00f5es num\u00e9ricas com o GeoGebra, bem como a aplica\u00e7\u00e3o de algumas delas para criar representa\u00e7\u00f5es gr\u00e1ficas de fun\u00e7\u00f5es. Especificamente, recorrendo ao ambiente geom\u00e9trico din\u00e2mico GeoGebra, exploram-se, no conjunto dos n\u00fameros positivos, as opera\u00e7\u00f5es de adi\u00e7\u00e3o, subtra\u00e7\u00e3o, multiplica\u00e7\u00e3o, divis\u00e3o e a raiz quadrada, e aplicam-se as opera\u00e7\u00f5es de multiplica\u00e7\u00e3o, divis\u00e3o e a raiz quadrada \u00e0 defini\u00e7\u00e3o de representa\u00e7\u00f5es gr\u00e1ficas. Uma vez exploradas as opera\u00e7\u00f5es num\u00e9ricas, realiza-se uma an\u00e1lise dos objetos matem\u00e1ticos intervenientes nessas opera\u00e7\u00f5es, destacando-se as tr\u00eas seguintes dimens\u00f5es: 1) enumera\u00e7\u00e3o dos objetos matem\u00e1ticos intervenientes em cada opera\u00e7\u00e3o; 2) as rela\u00e7\u00f5es entre as opera\u00e7\u00f5es e os objetos matem\u00e1ticos; 3) e aplica\u00e7\u00e3o dessas rela\u00e7\u00f5es para estabelecer a complexidade das opera\u00e7\u00f5es.<\/jats:p>","DOI":"10.23925\/2237-9657.2022.v11i2p072-091","type":"journal-article","created":{"date-parts":[[2022,11,14]],"date-time":"2022-11-14T14:36:43Z","timestamp":1668436603000},"page":"072-91","source":"Crossref","is-referenced-by-count":1,"title":["Operar com n\u00fameros positivos no GeoGebra: implica\u00e7\u00f5es did\u00e1ticas"],"prefix":"10.23925","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2015-160X","authenticated-orcid":false,"given":"Jos\u00e9 Ant\u00f3nio","family":"Fernandes","sequence":"first","affiliation":[]}],"member":"10019","published-online":{"date-parts":[[2022,11,12]]},"container-title":["Revista do Instituto GeoGebra Internacional de S\u00e3o Paulo"],"original-title":[],"link":[{"URL":"https:\/\/revistas.pucsp.br\/index.php\/IGISP\/article\/download\/58089\/40931","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/revistas.pucsp.br\/index.php\/IGISP\/article\/download\/58089\/40931","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,11,14]],"date-time":"2022-11-14T14:36:44Z","timestamp":1668436604000},"score":1,"resource":{"primary":{"URL":"https:\/\/revistas.pucsp.br\/index.php\/IGISP\/article\/view\/58089"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,11,12]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2022,11,12]]}},"URL":"https:\/\/doi.org\/10.23925\/2237-9657.2022.v11i2p072-091","relation":{},"ISSN":["2237-9657"],"issn-type":[{"value":"2237-9657","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,11,12]]}}}