Uma Matemática Moderna do ensino de frações equivalentes, Paraná (1970-1980)

Detalhes bibliográficos
Ano de defesa: 2024
Autor(a) principal: Nierri, Adriana Menegotto
Orientador(a): Não Informado pela instituição
Banca de defesa: Não Informado pela instituição
Tipo de documento: Tese
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Não Informado pela instituição
Programa de Pós-Graduação: Não Informado pela instituição
Departamento: Não Informado pela instituição
País: Não Informado pela instituição
Palavras-chave em Português:
História da educação matemática
Movimento da Matemática Moderna
Frações equivalentes
Livros didáticos
Matemática do ensino
Link de acesso: https://repositorio.ufsc.br/handle/123456789/261164
Resumo: Dissertação apresentada ao Programa de Pósgraduação em Educação em Ciências, Educação Matemática e Tecnologias Educativas, da Universidade Federal do Paraná, como requisito parcial à obtenção do título de Mestre em Ensino de Matemática. Linha de pesquisa: Filosofia, História e Sociologia da educação em Ciências e da Educação Matemática Orientadora: Dra. Barbara Winiarski Diesel Novaes
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spelling Nierri, Adriana Menegotto2024-11-25T19:58:23Z2024-11-25T19:58:23Z2024NIERRI, Adriana Menegotto. Uma Matemática Moderna do ensino de frações equivalentes, Paraná (1970-1980). Dissertação (Mestrado) - Universidade Federal do Paraná, Setor Palotina, Programa de Pós-Graduação em Educação em Ciências, Educação Matemática e Tecnologias Educativas. Palotina, PR, 2024.https://repositorio.ufsc.br/handle/123456789/261164Dissertação apresentada ao Programa de Pósgraduação em Educação em Ciências, Educação Matemática e Tecnologias Educativas, da Universidade Federal do Paraná, como requisito parcial à obtenção do título de Mestre em Ensino de Matemática. Linha de pesquisa: Filosofia, História e Sociologia da educação em Ciências e da Educação Matemática Orientadora: Dra. Barbara Winiarski Diesel NovaesO presente estudo busca responder a seguinte questão de pesquisa: Que matemática moderna do ensino de frações equivalentes foi sistematizada em manuais escolares para a formação de professores dos primeiros anos de escolarização que circularam no Paraná, no período de 1970 a 1980? A pesquisa objetiva caracterizar uma matemática moderna do ensino das frações equivalentes proposta em manuais escolares para a formação de professores dos primeiros anos de escolarização em circulação no estado do Paraná (1970 - 1980). Para responder à questão de pesquisa foram analisados livros didáticos e manuais pedagógicos, dirigidos para o ensino e para a formação de professores, que circularam no Paraná no marco temporal delimitado. Os referenciais teórico-metodológicos estão ancorados em conceitos da História Cultural e da História da educação matemática, principalmente a matemática do ensino e as categorias de análise: sequência, significado, graduação, exercícios e problemas (Morais; Bertini; Valente, 2021). O estudo conclui que os autores dos manuais, com vasta experiência no ensino e na formação de professores que ensinam matemática nos primeiros anos de escolarização se apropriaram do ideário do Movimento da Matemática Moderna, dos estudos de psicologia (principalmente de Jean Piaget) e ressignificaram práticas para o ensino de frações equivalentes de vagas pedagógicas anteriores. Aos materiais didáticos, como, por exemplo, o disco de frações e o quadro de equivalência são acrescentados novos elementos que contribuem para atividade reflexiva e operativa da criança, como contar, colorir, ordenar, comparar. A linha numerada foi considerada um processo visual importante para compreensão das classes de equivalência. O significado das frações equivalentes parte da noção de equivalência e segue uma graduação: concreto, semiconcreto, semiabstrato e abstrato e tinha como propósito a compreensão das operações com frações e do número racional. Vale ressaltar que as autoras paranaenses estavam na vanguarda das mudanças que ocorriam em relação as contribuições da psicologia, novos conteúdos e metodologias. Por fim, os manuais trouxeram princípios da Matemática Moderna, mobilizando a matemática do ensino, para ensinar as frações equivalentes.porHistória da educação matemáticaMovimento da Matemática ModernaFrações equivalentesLivros didáticosMatemática do ensinoUma Matemática Moderna do ensino de frações equivalentes, Paraná (1970-1980)info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisreponame:Repositório Institucional da UFSCinstname:Universidade Federal de Santa Catarina (UFSC)instacron:UFSCinfo:eu-repo/semantics/openAccessLICENSElicense.txtlicense.txttext/plain; charset=utf-817508https://repositorio.ufsc.br/bitstream/123456789/261164/2/license.txtc0bc68be64da770871e46b24415ba2e2MD52ORIGINALDissertação Adriana Menegotto Nierri.pdfDissertação Adriana Menegotto Nierri.pdfDissertação Adriana Nierriapplication/pdf2310000https://repositorio.ufsc.br/bitstream/123456789/261164/1/Disserta%c3%a7%c3%a3o%20Adriana%20Menegotto%20Nierri.pdfeee586f4387e7ed89a90a3211b19ae1eMD51123456789/2611642024-11-25 16:58:23.758oai:repositorio.ufsc.br:123456789/261164T3MgdHJhYmFsaG9zIGRlcG9zaXRhZG9zIG5vIFJlcG9zaXTDs3JpbyBJbnN0aXR1Y2lvbmFsIGRhIFVGU0Mgc8OjbyBzdWJtZXRpZG9zIHNvYiBhIExpY2Vuw6dhIENyZWF0aXZlIENvbW1vbnMgQXRyaWJ1acOnw6NvIE7Do28tQ29tZXJjaWFsIENDIEJZLU5DLiBFc3RhIGxpY2Vuw6dhIHBlcm1pdGU6CgogICAgMS4gQ29tcGFydGlsaGFyIOKAlCBjb3BpYXIgZSByZWRpc3RyaWJ1aXIgbyBtYXRlcmlhbCBlbSBxdWFscXVlciBzdXBvcnRlIG91IGZvcm1hdG8KICAgIDIuIEFkYXB0YXIg4oCUIHJlbWl4YXIsIHRyYW5zZm9ybWFyLCBlIGNyaWFyIGEgcGFydGlyIGRvIG1hdGVyaWFsLgoKTyBsaWNlbmNpYW50ZSBuw6NvIHBvZGUgcmV2b2dhciBlc3RlcyBkaXJlaXRvcyBkZXNkZSBxdWUgc2VqYW0gcmVzcGVpdGFkb3Mgb3Mgc2VndWludGVzIHRlcm1vcyBkYSBsaWNlbsOnYToKCiAgICAxLiBBdHJpYnVpw6fDo28g4oCUIERldmUtc2UgZGFyIG8gY3LDqWRpdG8gYXByb3ByaWFkbywgcHJvdmVyIHVtIGxpbmsgcGFyYSBhIGxpY2Vuw6dhIGUgaW5kaWNhciBzZSBtdWRhbsOnYXMgZm9yYW0gZmVpdGFzLiBEZXZlLXNlIGZhesOqLWxvIGVtIHF1YWxxdWVyIGNpcmN1bnN0w6JuY2lhIHJhem/DoXZlbCwgbWFzIGRlIG5lbmh1bWEgbWFuZWlyYSBxdWUgc3VnaXJhIHF1ZSBvIGxpY2VuY2lhbnRlIGFwb2lhIHZvY8OqIG91IG8gc2V1IHVzby4KICAgIDIuIE7Do28tQ29tZXJjaWFsIOKAlCDDiSBwcm9pYmlkbyBvIHVzbyBkbyBtYXRlcmlhbCBwYXJhIGZpbnMgY29tZXJjaWFpcy4KICAgIDMuIFNlbSByZXN0cmnDp8O1ZXMgYWRpY2lvbmFpcyDigJQgTsOjbyBhcGxpY2FyIHRlcm1vcyBqdXLDrWRpY29zIG91IG1lZGlkYXMgZGUgY2Fyw6F0ZXIgdGVjbm9sw7NnaWNvIHF1ZSByZXN0cmluamFtIGxlZ2FsbWVudGUgb3V0cm9zIGRlIGZhemVyZW0gYWxnbyBxdWUgYSBsaWNlbsOnYSBwZXJtaXRhLgoKTsOjbyBzZSBhcGxpY2FtIG9zIHRlcm1vcyBkYSBsaWNlbsOnYSByZWxhdGl2YW1lbnRlIGEgZWxlbWVudG9zIGRvIG1hdGVyaWFsIHF1ZSBlc3RlamFtIG5vIGRvbcOtbmlvIHDDumJsaWNvIG91IGN1amEgdXRpbGl6YcOnw6NvIHNlamEgcGVybWl0aWRhIHBvciB1bWEgZXhjZcOnw6NvIG91IGxpbWl0YcOnw6NvIHF1ZSBzZWphIGFwbGljw6F2ZWwuIE7Do28gc8OjbyBkYWRhcyBxdWFpc3F1ZXIgZ2FyYW50aWFzLiBBIGxpY2Vuw6dhIHBvZGUgbsOjbyBkYXIgdG9kYXMgYXMgYXV0b3JpemHDp8O1ZXMgbmVjZXNzw6FyaWFzIHBhcmEgbyB1c28gcHJldGVuZGlkby4gUG9yIGV4ZW1wbG8sIG91dHJvcyBkaXJlaXRvcywgdGFpcyBjb21vIGRpcmVpdG9zIGRlIGltYWdlbSwgZGUgcHJpdmFjaWRhZGUgb3UgZGlyZWl0b3MgbW9yYWlzLCBwb2RlbSBsaW1pdGFyIG8gdXNvIGRvIG1hdGVyaWFsLgoKTGljZW7Dp2EgQ3JlYXRpdmUgQ29tbW9ucyBBdHJpYnVpw6fDo28gTsOjby1Db21lcmNpYWwgQ0MgQlktTkMgNC4wIChodHRwczovL2NyZWF0aXZlY29tbW9ucy5vcmcvbGljZW5zZXMvYnktbmMvNC4wL2xlZ2FsY29kZS5wdCkKCkxFSUEgQSBMSUNFTsOHQSBBQkFJWE8gRSBDT05DT1JERSBDT00gT1MgVEVSTU9TIFBBUkEgUFJPU1NFR1VJUjoKCkF0cmlidWnDp8OjbyBOw6NvLUNvbWVyY2lhbCA0LjAgSW50ZXJuYWNpb25hbAoKQW8gZXhlcmNlciBvcyBEaXJlaXRvcyBMaWNlbmNpYWRvcyAoZGVmaW5pZG9zIGFiYWl4byksIFZvY8OqIGFjZWl0YSBlIGNvbmNvcmRhIGVzdGFyIHN1amVpdG8gYW9zIHRlcm1vcyBlIGNvbmRpw6fDtWVzIGRlc3RhIExpY2Vuw6dhIFDDumJsaWNhIENyZWF0aXZlIENvbW1vbnMgQXRyaWJ1acOnw6NvIE7Do28tQ29tZXJjaWFsIDQuMCBJbnRlcm5hY2lvbmFsICgiTGljZW7Dp2EgUMO6YmxpY2EiKS4gTmEgbWVkaWRhIGVtIHF1ZSBlc3RhIExpY2Vuw6dhIFDDumJsaWNhIHBvc3NhIHNlciBpbnRlcnByZXRhZGEgY29tbyB1bSBjb250cmF0bywgVm9jw6ogcmVjZWJlIG9zIERpcmVpdG9zIExpY2VuY2lhZG9zIGVtIGNvbnRyYXBhcnRpZGEgcGVsYSBTdWEgYWNlaXRhw6fDo28gZGVzdGVzIHRlcm1vcyBlIGNvbmRpw6fDtWVzLCBlIG8gTGljZW5jaWFudGUgY29uY2VkZS1MaGUgdGFpcyBkaXJlaXRvcyBlbSBjb250cmFwYXJ0aWRhIHBlbG9zIGJlbmVmw61jaW9zIHF1ZSBvIExpY2VuY2lhbnRlIHJlY2ViZSBwb3IgZGlzcG9uaWJpbGl6YXIgbyBNYXRlcmlhbCBMaWNlbmNpYWRvIHNvYiBlc3RlcyB0ZXJtb3MgZSBjb25kacOnw7Vlcy4KCkNsw6F1c3VsYSAxIOKAkyBEZWZpbmnDp8O1ZXMuCgogICAgYS4gTWF0ZXJpYWwgQWRhcHRhZG8gc2lnbmlmaWNhIG1hdGVyaWFsIHN1amVpdG8gYSBEaXJlaXRvIGRlIEF1dG9yIGUgRGlyZWl0b3MgU2ltaWxhcmVzIHF1ZSDDqSBkZXJpdmFkbyBkZSBvdSBiYXNlYWRvIG5vIE1hdGVyaWFsIExpY2VuY2lhZG8gZSBubyBxdWFsIG8gTWF0ZXJpYWwgTGljZW5jaWFkbyDDqSB0cmFkdXppZG8sIGFsdGVyYWRvLCBhcnJhbmphZG8sIHRyYW5zZm9ybWFkbywgb3UgZGUgb3V0cmEgZm9ybWEgbW9kaWZpY2FkbyBkZSB1bWEgbWFuZWlyYSBxdWUgcmVxdWVpcmEgcGVybWlzc8OjbyBjb20gYmFzZSBubyBEaXJlaXRvIGRlIEF1dG9yIGUgRGlyZWl0b3MgU2ltaWxhcmVzIGRldGlkb3MgcGVsbyBMaWNlbmNpYW50ZS4gUGFyYSBvcyBmaW5zIGRlc3RhIExpY2Vuw6dhIFDDumJsaWNhLCBxdWFuZG8gbyBNYXRlcmlhbCBMaWNlbmNpYWRvIHNlamEgdW1hIG9icmEgbXVzaWNhbCwgcGVyZm9ybWFuY2UsIG91IGZvbm9ncmFtYSwgw6kgc2VtcHJlIHByb2R1emlkbyBNYXRlcmlhbCBBZGFwdGFkbyBxdWFuZG8gbyBNYXRlcmlhbCBMaWNlbmNpYWRvIMOpIHNpbmNyb25pemFkbyBlbSByZWxhw6fDo28gdGVtcG9yYWwgY29tIHVtYSBpbWFnZW0gZW0gbW92aW1lbnRvLgogICAgYi4gTGljZW7Dp2EgZG8gQWRhcHRhZG9yIHNpZ25pZmljYSBhIGxpY2Vuw6dhIHF1ZSBWb2PDqiBhcGxpY2EgYW8gU2V1IERpcmVpdG8gZGUgQXV0b3IgZSBEaXJlaXRvcyBTaW1pbGFyZXMgbmFzIFN1YXMgY29udHJpYnVpw6fDtWVzIGFvIE1hdGVyaWFsIEFkYXB0YWRvIGRlIGFjb3JkbyBjb20gb3MgdGVybW9zIGUgY29uZGnDp8O1ZXMgZGVzdGEgTGljZW7Dp2EgUMO6YmxpY2EuCiAgICBjLiBEaXJlaXRvIGRlIEF1dG9yIGUgRGlyZWl0b3MgU2ltaWxhcmVzIHNpZ25pZmljYSBkaXJlaXRvIGRlIGF1dG9yIGUvb3UgZGlyZWl0b3Mgc2ltaWxhcmVzIGVzdHJlaXRhbWVudGUgcmVsYWNpb25hZG9zIGNvbSBvIGRpcmVpdG8gZGUgYXV0b3IsIGluY2x1aW5kbywgbWFzIG7Do28gc2UgbGltaXRhbmRvIGEsIGRpcmVpdG9zIGRlIGV4ZWN1w6fDo28sIHJhZGlvZGlmdXPDo28sIGZpeGHDp8OjbyBkZSBzb25zLCBlIERpcmVpdG9zIFN1aSBHZW5lcmlzIHNvYnJlIEJhc2VzIGRlIERhZG9zLCBpbmRlcGVuZGVudGVtZW50ZSBkZSBjb21vIHNlamFtIGNsYXNzaWZpY2Fkb3Mgb3UgY2F0ZWdvcml6YWRvcy4gUGFyYSBvcyBmaW5zIGRlc3RhIExpY2Vuw6dhIFDDumJsaWNhLCBvcyBkaXJlaXRvcyBlc3BlY2lmaWNhZG9zIG5hIENsw6F1c3VsYSAyKGIpKDEpLSgyKSBuw6NvIHPDo28gRGlyZWl0byBkZSBBdXRvciBlIERpcmVpdG9zIFNpbWlsYXJlcy4KICAgIGQuIE1lZGlkYXMgRWZpY2F6ZXMgZGUgQ2Fyw6F0ZXIgVGVjbm9sw7NnaWNvIHNpZ25pZmljYW0gYXF1ZWxhcyBtZWRpZGFzIHF1ZSwgbmEgYXVzw6puY2lhIGRlIGRpcmVpdG8gcGFyYSB0YW50bywgbsOjbyBwb2RlbSBzZXIgY29udG9ybmFkYXMgZW0ganVyaXNkacOnw7VlcyBjdW1wcmluZG8gb2JyaWdhw6fDtWVzIHNvYiBvIEFydGlnbyAxMSBkbyBUcmF0YWRvIGRhIE9NUEkgZGUgRGlyZWl0byBkZSBBdXRvciBhZG90YWRvIGVtIDIwIGRlIGRlemVtYnJvIGRlIDE5OTYsIGUvb3UgYWNvcmRvcyBpbnRlcm5hY2lvbmFpcyBzaW1pbGFyZXMuCiAgICBlLiBFeGNlw6fDtWVzIGUgTGltaXRhw6fDtWVzIHNpZ25pZmljYW0gdXRpbGl6YcOnw6NvIGp1c3RhICjigJxmYWlyIHVzZeKAnSksIHRyYXRhbWVudG8ganVzdG8gKOKAnGZhaXIgZGVhbGluZ+KAnSksIGUvb3UgcXVhbHF1ZXIgb3V0cmEgZXhjZcOnw6NvIG91IGxpbWl0YcOnw6NvIGFvIERpcmVpdG8gZGUgQXV0b3IgZSBEaXJlaXRvcyBTaW1pbGFyZXMgcXVlIHNlIGFwbGlxdWUgw6AgU3VhIHV0aWxpemHDp8OjbyBkbyBNYXRlcmlhbCBMaWNlbmNpYWRvLgogICAgZi4gTWF0ZXJpYWwgTGljZW5jaWFkbyBzaWduaWZpY2EgbyB0cmFiYWxobyBhcnTDrXN0aWNvIG91IGxpdGVyw6FyaW8sIGJhc2UgZGUgZGFkb3MsIG91IG91dHJvIG1hdGVyaWFsIGFvIHF1YWwgbyBMaWNlbmNpYW50ZSBhcGxpY291IGVzdGEgTGljZW7Dp2EgUMO6YmxpY2EuCiAgICBnLiBEaXJlaXRvcyBMaWNlbmNpYWRvcyBzaWduaWZpY2FtIG9zIGRpcmVpdG9zIGNvbmNlZGlkb3MgYSBWb2PDqiBzdWplaXRvcyBhb3MgdGVybW9zIGUgY29uZGnDp8O1ZXMgZGVzdGEgTGljZW7Dp2EgUMO6YmxpY2EsIHF1ZSBzw6NvIGxpbWl0YWRvcyBhIHRvZG9zIG9zIERpcmVpdG9zIGRlIEF1dG9yIGUgRGlyZWl0b3MgU2ltaWxhcmVzIHF1ZSBzZSBhcGxpcXVlbSDDoCBTdWEgdXRpbGl6YcOnw6NvIGRvIE1hdGVyaWFsIExpY2VuY2lhZG8gZSBxdWUgbyBMaWNlbmNpYW50ZSB0ZW0gbyBkaXJlaXRvIGRlIGxpY2VuY2lhci4KICAgIGguIExpY2VuY2lhbnRlIHNpZ25pZmljYSBvKHMpIGluZGl2w61kdW8ocykgb3UgZW50aWRhZGUocykgY29uY2VkZW5kbyBkaXJlaXRvcyBzb2IgZXN0YSBMaWNlbsOnYSBQw7pibGljYS4KICAgIGkuIE7Do28tQ29tZXJjaWFsIHNpZ25pZmljYSBuw6NvIHByaW1hcmlhbWVudGUgaW50ZW5jaW9uYWRvIG91IGRpcmVjaW9uYWRvIGEgdW1hIHZhbnRhZ2VtIGNvbWVyY2lhbCBvdSBjb21wZW5zYcOnw6NvIG1vbmV0w6FyaWEuIFBhcmEgb3MgZmlucyBkZXN0YSBMaWNlbsOnYSBQw7pibGljYSwgYSB0cm9jYSBkZSBNYXRlcmlhbCBMaWNlbmNpYWRvIHBvciBvdXRybyBtYXRlcmlhbCBzdWplaXRvIGEgRGlyZWl0byBkZSBBdXRvciBlIERpcmVpdG9zIFNpbWlsYXJlcyB2aWEgY29tcGFydGlsaGFtZW50byBkaWdpdGFsIGRlIGFycXVpdm9zICgicGFydGlsaGEgZGUgZmljaGVpcm9zIikgb3UgbWVpb3Mgc2ltaWxhcmVzIMOpIE7Do28tQ29tZXJjaWFsLCBkZXNkZSBxdWUgbsOjbyBoYWphIHBhZ2FtZW50byBvdSBjb21wZW5zYcOnw6NvIG1vbmV0w6FyaWEgcmVsYWNpb25hZG9zIGNvbSBhIHRyb2NhLgogICAgai4gQ29tcGFydGlsaGFyIHNpZ25pZmljYSBmb3JuZWNlciBtYXRlcmlhbCBhbyBww7pibGljbyBwb3IgcXVhbHF1ZXIgbWVpbyBvdSBwcm9jZXNzbyBxdWUgcmVxdWVpcmEgcGVybWlzc8OjbyBzb2Igb3MgRGlyZWl0b3MgTGljZW5jaWFkb3MsIGNvbW8gcmVwcm9kdcOnw6NvLCBleGliacOnw6NvIHDDumJsaWNhLCBleGVjdcOnw6NvIHDDumJsaWNhLCBkaXN0cmlidWnDp8OjbywgZGlzc2VtaW5hw6fDo28sIGNvbXVuaWNhw6fDo28gb3UgaW1wb3J0YcOnw6NvLCBlIGRpc3BvbmliaWxpemFyIG1hdGVyaWFsIGFvIHDDumJsaWNvLCBpbmNsdWluZG8gcG9yIHZpYXMgcGVsYXMgcXVhaXMgb3MgbWVtYnJvcyBkbyBww7pibGljbyBwb3NzYW0gdGVyIGFjZXNzbyBhbyBtYXRlcmlhbCBhIHBhcnRpciBkZSB1bSBsb2NhbCBlIG5vIG1vbWVudG8gaW5kaXZpZHVhbG1lbnRlIGVzY29saGlkb3MgcG9yIGVsZXMuCiAgICBrLiBEaXJlaXRvcyBTdWkgR2VuZXJpcyBzb2JyZSBCYXNlcyBkZSBEYWRvcyBzaWduaWZpY2FtIG91dHJvcyBkaXJlaXRvcywgcXVlIG7Do28gbyBkaXJlaXRvIGRlIGF1dG9yIGUgZGlyZWl0b3MgY29uZXhvcywgcmVzdWx0YW50ZXMgZGEgRGlyZXRpdmEgOTYvOS9FQyBkbyBQYXJsYW1lbnRvIEV1cm9wZXUgZSBkbyBDb25zZWxobyBkZSAxMSBkZSBNYXLDp28gZGUgMTk5NiBzb2JyZSBhIHByb3Rlw6fDo28gbGVnYWwgZGUgYmFzZXMgZGUgZGFkb3MsIGNvbmZvcm1lIGVtZW5kYWRhIGUvb3Ugc3VjZWRpZGEsIGJlbSBjb21vIG91dHJvcyBkaXJlaXRvcyBlc3NlbmNpYWxtZW50ZSBlcXVpdmFsZW50ZXMgZW0gcXVhbHF1ZXIgbHVnYXIgZG8gbXVuZG8uCiAgICBsLiBWb2PDqiBzaWduaWZpY2EgbyBpbmRpdsOtZHVvIG91IGVudGlkYWRlIHF1ZSBleGVyY2Ugb3MgRGlyZWl0b3MgTGljZW5jaWFkb3Mgc29iIGVzdGEgTGljZW7Dp2EgUMO6YmxpY2EuIExoZSwgU2V1LCBTdWEgZSBTdWFzIHTDqm0gdW0gc2lnbmlmaWNhZG8gY29ycmVzcG9uZGVudGUuCgpDbMOhdXN1bGEgMiDigJMgw4JtYml0by4KCiAgICBhLiBDb25jZXNzw6NvIGRhIGxpY2Vuw6dhLgogICAgICAgIGEuIERlIGFjb3JkbyBjb20gb3MgdGVybW9zIGUgY29uZGnDp8O1ZXMgZGVzdGEgTGljZW7Dp2EgUMO6YmxpY2EsIG8gTGljZW5jaWFudGUgY29uY2VkZS1MaGUsIHBlbG8gcHJlc2VudGUsIHVtYSBsaWNlbsOnYSBtdW5kaWFsLCBpc2VudGEgZGUgcm95YWx0aWVzLCBuw6NvIHN1YmxpY2VuY2nDoXZlbCwgbsOjbyBleGNsdXNpdmEsIGUgaXJyZXZvZ8OhdmVsIHBhcmEgZXhlcmNlciBvcyBEaXJlaXRvcyBMaWNlbmNpYWRvcyBzb2JyZSBvIE1hdGVyaWFsIExpY2VuY2lhZG8gcGFyYToKICAgICAgICAgICAgQS4gcmVwcm9kdXppciBlIENvbXBhcnRpbGhhciBvIE1hdGVyaWFsIExpY2VuY2lhZG8sIG5vIHRvZG8gb3UgZW0gcGFydGUsIHNvbWVudGUgcGFyYSB1bSBmaW0gTsOjby1Db21lcmNpYWw7IGUKICAgICAgICAgICAgQi4gcHJvZHV6aXIsIHJlcHJvZHV6aXIsIGUgQ29tcGFydGlsaGFyIE1hdGVyaWFsIEFkYXB0YWRvIHNvbWVudGUgcGFyYSB1bSBmaW0gTsOjby1Db21lcmNpYWwuCiAgICAgICAgYi4gRXhjZcOnw7VlcyBlIExpbWl0YcOnw7Vlcy4gUGFyYSBldml0YXIgZMO6dmlkYXMsIHF1YW5kbyBFeGNlw6fDtWVzIGUgTGltaXRhw6fDtWVzIHNlamFtIGFwbGljw6F2ZWlzIMOgIFN1YSB1dGlsaXphw6fDo28sIGVzdGEgTGljZW7Dp2EgUMO6YmxpY2EgbsOjbyBzZSBhcGxpY2EsIGUgVm9jw6ogbsOjbyBwcmVjaXNhIGRlIGN1bXByaXIgY29tIG9zIHNldXMgdGVybW9zIGUgY29uZGnDp8O1ZXMuCiAgICAgICAgYy4gVGVybW8uIE8gdGVybW8gZGVzdGEgTGljZW7Dp2EgUMO6YmxpY2EgZXN0w6EgZXNwZWNpZmljYWRvIG5hIENsw6F1c3VsYSA2KGEpLgogICAgICAgIGQuIE1laW9zL3N1cG9ydGVzIGUgZm9ybWF0b3M7IG1vZGlmaWNhw6fDtWVzIHTDqWNuaWNhcyBwZXJtaXRpZGFzLiBPIExpY2VuY2lhbnRlIGF1dG9yaXphIFZvY8OqIGEgZXhlcmNlciBvcyBEaXJlaXRvcyBMaWNlbmNpYWRvcyBlbSB0b2RvcyBvcyBtZWlvcy9zdXBvcnRlcyBlIGZvcm1hdG9zIGNvbmhlY2lkb3MgYWdvcmEgb3UgY3JpYWRvcyBwb3N0ZXJpb3JtZW50ZSwgZSBhIGZhemVyIGFzIG1vZGlmaWNhw6fDtWVzIHTDqWNuaWNhcyBuZWNlc3PDoXJpYXMgcGFyYSB0YW50by4gTyBMaWNlbmNpYW50ZSBjZWRlIGUvb3UgY29uY29yZGEgZW0gbsOjbyByZWl2aW5kaWNhciBuZW5odW0gZGlyZWl0byBxdWUgcHJvw61iYSBWb2PDqiBkZSBmYXplciBtb2RpZmljYcOnw7VlcyB0w6ljbmljYXMgbmVjZXNzw6FyaWFzIGFvIGV4ZXJjw61jaW8gZG9zIERpcmVpdG9zIExpY2VuY2lhZG9zLCBpbmNsdWluZG8gbW9kaWZpY2HDp8O1ZXMgdMOpY25pY2FzIG5lY2Vzc8OhcmlhcyBwYXJhIGNvbnRvcm5hciBNZWRpZGFzIEVmaWNhemVzIGRlIENhcsOhdGVyIFRlY25vbMOzZ2ljby4gUGFyYSBvcyBmaW5zIGRlc3RhIExpY2Vuw6dhIFDDumJsaWNhLCBmYXplciBzaW1wbGVzbWVudGUgbW9kaWZpY2HDp8O1ZXMgYXV0b3JpemFkYXMgcG9yIGVzdGEgQ2zDoXVzdWxhIDIoYSkoNCkgbnVuY2EgcHJvZHV6IE1hdGVyaWFsIEFkYXB0YWRvLgogICAgICAgIGUuIFJlY2VwdG9yZXMgc3Vic2VxdWVudGVzLgogICAgICAgICAgICBBLiBPZmVydGEgcGVsbyBMaWNlbmNpYW50ZSDigJMgTWF0ZXJpYWwgTGljZW5jaWFkby4gQ2FkYSByZWNlcHRvciBkbyBNYXRlcmlhbCBMaWNlbmNpYWRvIHJlY2ViZSBhdXRvbWF0aWNhbWVudGUgdW1hIG9mZXJ0YSBkbyBMaWNlbmNpYW50ZSBwYXJhIGV4ZXJjZXIgb3MgRGlyZWl0b3MgTGljZW5jaWFkb3Mgc29iIG9zIHRlcm1vcyBlIGNvbmRpw6fDtWVzIGRlc3RhIExpY2Vuw6dhIFDDumJsaWNhLgogICAgICAgICAgICBCLiBTZW0gcmVzdHJpw6fDtWVzIHN1YnNlcXVlbnRlcy4gVm9jw6ogbsOjbyBwb2RlIHByb3BvciBvdSBpbXBvciBxdWFpc3F1ZXIgdGVybW9zIG91IGNvbmRpw6fDtWVzLCBhZGljaW9uYWlzIG91IGRpZmVyZW50ZXMsIG91IGFwbGljYXIgcXVhaXNxdWVyIE1lZGlkYXMgRWZpY2F6ZXMgZGUgQ2Fyw6F0ZXIgVGVjbm9sw7NnaWNvLCBzb2JyZSBvIE1hdGVyaWFsIExpY2VuY2lhZG8sIHNlIHRhbCByZXN0cmluZ2lyIG8gZXhlcmPDrWNpbyBkb3MgRGlyZWl0b3MgTGljZW5jaWFkb3MgcG9yIHF1YWxxdWVyIHJlY2VwdG9yIGRvIE1hdGVyaWFsIExpY2VuY2lhZG8uCiAgICAgICAgZi4gU2VtIGVuZG9zc28uIE5hZGEgbmVzdGEgTGljZW7Dp2EgUMO6YmxpY2EgY29uc3RpdHVpIG91IHBvZGUgc2VyIGVudGVuZGlkbyBjb21vIHVtYSBwZXJtaXNzw6NvIHBhcmEgYWZpcm1hciBvdSBzdWdlcmlyIHF1ZSBWb2PDqiwgb3UgcXVlIGEgU3VhIHV0aWxpemHDp8OjbyBkbyBNYXRlcmlhbCBMaWNlbmNpYWRvLCDDqSBjb25lY3RhZG8gYW8sIHBhdHJvY2luYWRvIG91IGVuZG9zc2FkbyBwZWxvLCBvdSB0ZW0gc3RhdHVzIG9maWNpYWwgY29uY2VkaWRvIHBlbG8sIExpY2VuY2lhbnRlIG91IHRlcmNlaXJvcyBkZXNpZ25hZG9zIHBhcmEgcmVjZWJlciBhdHJpYnVpw6fDo28gY29tbyBwcmV2aXN0byBuYSBDbMOhdXN1bGEgMyhhKSgxKShBKShpKS4KICAgIGIuIE91dHJvcyBkaXJlaXRvcy4KICAgICAgICBhLiBEaXJlaXRvcyBtb3JhaXMsIGNvbW8gbyBkaXJlaXRvIMOgIGludGVncmlkYWRlLCBuw6NvIHPDo28gbGljZW5jaWFkb3MgcG9yIGVzdGEgTGljZW7Dp2EgUMO6YmxpY2EsIG5lbSBvIHPDo28gb3MgZGlyZWl0b3MgZGUgaW1hZ2VtLCBwcml2YWNpZGFkZSwgZS9vdSBvdXRyb3MgZGlyZWl0b3MgZGUgcGVyc29uYWxpZGFkZSBzaW1pbGFyZXM7IGNvbnR1ZG8sIG5hIG1lZGlkYSBkbyBwb3Nzw612ZWwsIG8gTGljZW5jaWFudGUgcmVudW5jaWEgZS9vdSBjb25jb3JkYSBuw6NvIGV4ZXJjZXIgcXVhaXNxdWVyIGRlc3NlcyBkaXJlaXRvcyBkZXRpZG9zIHBlbG8gTGljZW5jaWFudGUsIG5hIG1lZGlkYSBuZWNlc3PDoXJpYSBwYXJhIHBlcm1pdGlyIHF1ZSBWb2PDqiBleGVyw6dhIG9zIERpcmVpdG9zIExpY2VuY2lhZG9zLCBtYXMgbsOjbyBkZSBvdXRyYSBmb3JtYS4KICAgICAgICBiLiBEaXJlaXRvcyBkZSBwYXRlbnRlIGUgbWFyY2FzIG7Do28gc2UgZW5jb250cmFtIGxpY2VuY2lhZG9zIHNvYiBlc3RhIExpY2Vuw6dhIFDDumJsaWNhLgogICAgICAgIGMuIE5hIG1lZGlkYSBkbyBwb3Nzw612ZWwsIG8gTGljZW5jaWFudGUgcmVudW5jaWEgYSBxdWFscXVlciBkaXJlaXRvIGRlIGNvYnJhci1MaGUgcm95YWx0aWVzIHBlbG8gZXhlcmPDrWNpbyBkb3MgRGlyZWl0b3MgTGljZW5jaWFkb3MsIHF1ZXIgZGlyZXRhbWVudGUgcXVlciBwb3IgbWVpbyBkZSB1bWEgZW50aWRhZGUgZGUgZ2VzdMOjbyBjb2xldGl2YSwgc29iIHF1YWxxdWVyIHJlZ2ltZSBkZSBsaWNlbmNpYW1lbnRvIHZvbHVudMOhcmlvIG91IGxlZ2FsLCBkaXNwb27DrXZlbCBvdSBjb21wdWxzw7NyaW8uIEVtIHRvZG9zIG9zIG91dHJvcyBjYXNvcywgbyBMaWNlbmNpYW50ZSByZXNlcnZhIGV4cHJlc3NhbWVudGUgbyBkaXJlaXRvIGRlIGFycmVjYWRhciB0YWlzIHJveWFsdGllcywgaW5jbHVzaXZlIHF1YW5kbyBvIE1hdGVyaWFsIExpY2VuY2lhZG8gw6kgdXRpbGl6YWRvIHBhcmEgZmlucyBkaWZlcmVudGVzIGRvIGZpbSBOw6NvLUNvbWVyY2lhbC4KCkNsw6F1c3VsYSAzIOKAkyBDb25kacOnw7VlcyBkYSBMaWNlbsOnYS4KCk8gU2V1IGV4ZXJjw61jaW8gZG9zIERpcmVpdG9zIExpY2VuY2lhZG9zIGZpY2EgZXhwcmVzc2FtZW50ZSBzdWplaXRvIMOgcyBjb25kacOnw7VlcyBzZWd1aW50ZXMuCiAgICBhLiBBdHJpYnVpw6fDo28uCiAgICAgICAgYS4gU2UgVm9jw6ogQ29tcGFydGlsaGFyIG8gTWF0ZXJpYWwgTGljZW5jaWFkbyAoaW5jbHVpbmRvIHNvYiB1bWEgZm9ybWEgbW9kaWZpY2FkYSksIFZvY8OqIGRldmU6CiAgICAgICAgICAgIEEuIG1hbnRlciBvIHNlZ3VpbnRlLCBzZSBmb3IgZm9ybmVjaWRvIHBlbG8gTGljZW5jaWFudGUgY29tIG8gTWF0ZXJpYWwgTGljZW5jaWFkbzoKICAgICAgICAgICAgICAgIGkuIGlkZW50aWZpY2HDp8OjbyBkbyhzKSBjcmlhZG9yKGVzKSBkbyBNYXRlcmlhbCBMaWNlbmNpYWRvIGUgcXVhaXNxdWVyIG91dHJvcyBkZXNpZ25hZG9zIHBhcmEgcmVjZWJlciBhdHJpYnVpw6fDo28sIGRlIHF1YWxxdWVyIGZvcm1hIHJhem/DoXZlbCBzb2xpY2l0YWRhIHBlbG8gTGljZW5jaWFudGUgKGluY2x1aW5kbyBwb3IgcHNldWTDs25pbW8sIHNlIGRlc2lnbmFkbyk7CiAgICAgICAgICAgICAgICBpaS4gdW0gYXZpc28gZGUgZGlyZWl0byBkZSBhdXRvciBlIGRpcmVpdG9zIGNvbmV4b3M7CiAgICAgICAgICAgICAgICBpaWkuIHVtIGF2aXNvIHF1ZSBzZSByZWZlcmUgYSBlc3RhIExpY2Vuw6dhIFDDumJsaWNhOwogICAgICAgICAgICAgICAgaXYuIHVtIGF2aXNvIHF1ZSBzZSByZWZlcmUgw6AgZXhjbHVzw6NvIGRlIGdhcmFudGlhczsKICAgICAgICAgICAgICAgIHYuIHVtIFVSSSBvdSB1bSBoeXBlcmxpbmsgcGFyYSBvIE1hdGVyaWFsIExpY2VuY2lhZG8gbmEgbWVkaWRhIHJhem9hdmVsbWVudGUgZXhlcXXDrXZlbDsKICAgICAgICAgICAgQi4gaW5kaWNhciBzZSBWb2PDqiBtb2RpZmljb3UgbyBNYXRlcmlhbCBMaWNlbmNpYWRvIGUgbWFudGVyIHVtYSBpbmRpY2HDp8OjbyBkZSBxdWFpc3F1ZXIgbW9kaWZpY2HDp8O1ZXMgcHLDqXZpYXM7IGUKICAgICAgICAgICAgQy4gaW5kaWNhciBxdWUgbyBNYXRlcmlhbCBMaWNlbmNpYWRvIMOpIGxpY2VuY2lhZG8gY29tIGVzdGEgTGljZW7Dp2EgUMO6YmxpY2EsIGUgaW5jbHVpciBvIHRleHRvIGRlLCBvdSBvIFVSSSBvdSBvIGh5cGVybGluayBwYXJhLCBlc3RhIExpY2Vuw6dhIFDDumJsaWNhLgogICAgICAgIGIuIFZvY8OqIHBvZGUgc2F0aXNmYXplciBhcyBjb25kacOnw7VlcyBkYSBDbMOhdXN1bGEgMyhhKSgxKSBkZSBxdWFscXVlciBmb3JtYSByYXpvw6F2ZWwsIHRlbmRvIGVtIGNvbnRhIG8gc3Vwb3J0ZSwgb3MgbWVpb3MgZSBvIGNv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dc.title.pt_BR.fl_str_mv Uma Matemática Moderna do ensino de frações equivalentes, Paraná (1970-1980)
title Uma Matemática Moderna do ensino de frações equivalentes, Paraná (1970-1980)
spellingShingle Uma Matemática Moderna do ensino de frações equivalentes, Paraná (1970-1980)
Nierri, Adriana Menegotto
História da educação matemática
Movimento da Matemática Moderna
Frações equivalentes
Livros didáticos
Matemática do ensino
title_short Uma Matemática Moderna do ensino de frações equivalentes, Paraná (1970-1980)
title_full Uma Matemática Moderna do ensino de frações equivalentes, Paraná (1970-1980)
title_fullStr Uma Matemática Moderna do ensino de frações equivalentes, Paraná (1970-1980)
title_full_unstemmed Uma Matemática Moderna do ensino de frações equivalentes, Paraná (1970-1980)
title_sort Uma Matemática Moderna do ensino de frações equivalentes, Paraná (1970-1980)
author Nierri, Adriana Menegotto
author_facet Nierri, Adriana Menegotto
author_role author
dc.contributor.author.fl_str_mv Nierri, Adriana Menegotto
dc.subject.por.fl_str_mv História da educação matemática
Movimento da Matemática Moderna
Frações equivalentes
Livros didáticos
Matemática do ensino
topic História da educação matemática
Movimento da Matemática Moderna
Frações equivalentes
Livros didáticos
Matemática do ensino
description Dissertação apresentada ao Programa de Pósgraduação em Educação em Ciências, Educação Matemática e Tecnologias Educativas, da Universidade Federal do Paraná, como requisito parcial à obtenção do título de Mestre em Ensino de Matemática. Linha de pesquisa: Filosofia, História e Sociologia da educação em Ciências e da Educação Matemática Orientadora: Dra. Barbara Winiarski Diesel Novaes
publishDate 2024
dc.date.accessioned.fl_str_mv 2024-11-25T19:58:23Z
dc.date.available.fl_str_mv 2024-11-25T19:58:23Z
dc.date.issued.fl_str_mv 2024
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/doctoralThesis
format doctoralThesis
status_str publishedVersion
dc.identifier.citation.fl_str_mv NIERRI, Adriana Menegotto. Uma Matemática Moderna do ensino de frações equivalentes, Paraná (1970-1980). Dissertação (Mestrado) - Universidade Federal do Paraná, Setor Palotina, Programa de Pós-Graduação em Educação em Ciências, Educação Matemática e Tecnologias Educativas. Palotina, PR, 2024.
dc.identifier.uri.fl_str_mv https://repositorio.ufsc.br/handle/123456789/261164
identifier_str_mv NIERRI, Adriana Menegotto. Uma Matemática Moderna do ensino de frações equivalentes, Paraná (1970-1980). Dissertação (Mestrado) - Universidade Federal do Paraná, Setor Palotina, Programa de Pós-Graduação em Educação em Ciências, Educação Matemática e Tecnologias Educativas. Palotina, PR, 2024.
url https://repositorio.ufsc.br/handle/123456789/261164
dc.language.iso.fl_str_mv por
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dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFSC
instname:Universidade Federal de Santa Catarina (UFSC)
instacron:UFSC
instname_str Universidade Federal de Santa Catarina (UFSC)
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institution UFSC
reponame_str Repositório Institucional da UFSC
collection Repositório Institucional da UFSC
bitstream.url.fl_str_mv https://repositorio.ufsc.br/bitstream/123456789/261164/2/license.txt
https://repositorio.ufsc.br/bitstream/123456789/261164/1/Disserta%c3%a7%c3%a3o%20Adriana%20Menegotto%20Nierri.pdf
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repository.name.fl_str_mv Repositório Institucional da UFSC - Universidade Federal de Santa Catarina (UFSC)
repository.mail.fl_str_mv sandra.sobrera@ufsc.br
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