{"title":"Semiosis to Communicate Mathematics: Complementarity in the Circularity of Interpretations in Mathematics for the Development of Creativity","authors":"Lúcia Cristina Silveira Monteiro","doi":"10.54870/1551-3440.1564","DOIUrl":null,"url":null,"abstract":"Mathematics is a dynamic field of knowledge of human creation and invention that is in continuous expansion. However, the mathematics is presented as a ready and finished field of knowledge in school systems, and there is no concern with the development of cognitive processes other than memorization and symbolic manipulation, therefore, there is no concern with stimulating the development of cognitive processes such as creativity, present in the development of mathematics. On the other hand, the concepts of scientifical mathematics as infinite and infinitely small that are related to the understanding of the dynamics present in phenomena, do not have didactic treatment to be presented to students of basic education. In this work, I will propose an approach of mathematics by mean of the fundamental concepts from the first school levels, approaching mathematics as a semiotic activity based on the possibilities of interpretations of Zeno's aporias, as metaphors of the infinite, to develop creativity in the didactics of mathematics. This work will present description of didactic phenomena during teacher education.","PeriodicalId":44703,"journal":{"name":"Mathematics Enthusiast","volume":"1 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics Enthusiast","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.54870/1551-3440.1564","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
Mathematics is a dynamic field of knowledge of human creation and invention that is in continuous expansion. However, the mathematics is presented as a ready and finished field of knowledge in school systems, and there is no concern with the development of cognitive processes other than memorization and symbolic manipulation, therefore, there is no concern with stimulating the development of cognitive processes such as creativity, present in the development of mathematics. On the other hand, the concepts of scientifical mathematics as infinite and infinitely small that are related to the understanding of the dynamics present in phenomena, do not have didactic treatment to be presented to students of basic education. In this work, I will propose an approach of mathematics by mean of the fundamental concepts from the first school levels, approaching mathematics as a semiotic activity based on the possibilities of interpretations of Zeno's aporias, as metaphors of the infinite, to develop creativity in the didactics of mathematics. This work will present description of didactic phenomena during teacher education.
期刊介绍：
The Mathematics Enthusiast (TME) is an eclectic internationally circulated peer reviewed journal which focuses on mathematics content, mathematics education research, innovation, interdisciplinary issues and pedagogy. The journal exists as an independent entity. The electronic version is hosted by the Department of Mathematical Sciences- University of Montana. The journal is NOT affiliated to nor subsidized by any professional organizations but supports PMENA [Psychology of Mathematics Education- North America] through special issues on various research topics. TME strives to promote equity internationally by adopting an open access policy, as well as allowing authors to retain full copyright of their scholarship contingent on the journals’ publication ethics guidelines. Authors do not need to be affiliated with the University of Montana in order to publish in this journal. Journal articles cover a wide spectrum of topics such as mathematics content (including advanced mathematics), educational studies related to mathematics, and reports of innovative pedagogical practices with the hope of stimulating dialogue between pre-service and practicing teachers, university educators and mathematicians. The journal is interested in research based articles as well as historical, philosophical, political, cross-cultural and systems perspectives on mathematics content, its teaching and learning. The journal also includes a monograph series on special topics of interest to the community of readers.
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