Congruence and triangle similarity study: a proposal for basic education

Submitted by Jo??o Rocha (jsrprofessor145@gmail.com) on 2019-09-02T15:04:46Z No. of bitstreams: 7 Jo??oRochaDisserta????ofinal.pdf: 1887979 bytes, checksum: 735587a30fc2f9738988041478de557d (MD5) ata_de_defesa_publica.pdf: 1628395 bytes, checksum: b117d0698d449ef91fe3ff3399cb107a (MD5) CartadeAutoDeposito.pdf: 564471 bytes, checksum: dcff584ab4a2fff4a1499e875932a299 (MD5) banca examinadora.pdf: 191852 bytes, checksum: 1a85fdafcedec6d1483d79320bb8c7fe (MD5) fichacatalografrica.pdf: 1837 bytes, checksum: 665649996135a91b89b41f0bb6de7d24 (MD5) termo_autorizacao_publicacaodigital.pdf: 1615466 bytes, checksum: 418343ae9e868632ee1801a62a7d5053 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Approved for entry into archive by P??s Gradua????o Matem??tica (pos-matematica@ufam.edu.br) on 2019-09-02T17:19:40Z (GMT) No. of bitstreams: 7 Jo??oRochaDisserta????ofinal.pdf: 1887979 bytes, checksum: 735587a30fc2f9738988041478de557d (MD5) ata_de_defesa_publica.pdf: 1628395 bytes, checksum: b117d0698d449ef91fe3ff3399cb107a (MD5) CartadeAutoDeposito.pdf: 564471 bytes, checksum: dcff584ab4a2fff4a1499e875932a299 (MD5) banca examinadora.pdf: 191852 bytes, checksum: 1a85fdafcedec6d1483d79320bb8c7fe (MD5) fichacatalografrica.pdf: 1837 bytes, checksum: 665649996135a91b89b41f0bb6de7d24 (MD5) termo_autorizacao_publicacaodigital.pdf: 1615466 bytes, checksum: 418343ae9e868632ee1801a62a7d5053 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Approved for entry into archive by Divis??o de Documenta????o/BC Biblioteca Central (ddbc@ufam.edu.br) on 2019-09-03T17:54:19Z (GMT) No. of bitstreams: 7 Jo??oRochaDisserta????ofinal.pdf: 1887979 bytes, checksum: 735587a30fc2f9738988041478de557d (MD5) ata_de_defesa_publica.pdf: 1628395 bytes, checksum: b117d0698d449ef91fe3ff3399cb107a (MD5) CartadeAutoDeposito.pdf: 564471 bytes, checksum: dcff584ab4a2fff4a1499e875932a299 (MD5) banca examinadora.pdf: 191852 bytes, checksum: 1a85fdafcedec6d1483d79320bb8c7fe (MD5) fichacatalografrica.pdf: 1837 bytes, checksum: 665649996135a91b89b41f0bb6de7d24 (MD5) termo_autorizacao_publicacaodigital.pdf: 1615466 bytes, checksum: 418343ae9e868632ee1801a62a7d5053 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Made available in DSpace on 2019-09-03T17:54:19Z (GMT). No. of bitstreams: 7 Jo??oRochaDisserta????ofinal.pdf: 1887979 bytes, checksum: 735587a30fc2f9738988041478de557d (MD5) ata_de_defesa_publica.pdf: 1628395 bytes, checksum: b117d0698d449ef91fe3ff3399cb107a (MD5) CartadeAutoDeposito.pdf: 564471 bytes, checksum: dcff584ab4a2fff4a1499e875932a299 (MD5) banca examinadora.pdf: 191852 bytes, checksum: 1a85fdafcedec6d1483d79320bb8c7fe (MD5) fichacatalografrica.pdf: 1837 bytes, checksum: 665649996135a91b89b41f0bb6de7d24 (MD5) termo_autorizacao_publicacaodigital.pdf: 1615466 bytes, checksum: 418343ae9e868632ee1801a62a7d5053 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2019-08-23 CAPES - Coordena????o de Aperfei??oamento de Pessoal de N??vel Superior (92) 98418-6787 The purpose of this paper is to study the congruence and similarity of triangles as a basic education proposal, whose objective is to specify these cases establishing relationships for the study and egress to the professional master, facilitating the teaching-learning process at the fundamental and middle levels, Because it is an important math content, it is taught through mechanical memorization. With the help of the application GeoGebra, ruler and compass, there will be a playful construction through these learning tools, being support for the study teachers and students. It is also intended to demystify this content that is not normally treated with subtlety and is transmitted over the years through mechanical memorization and also aims to improve further studies and research. Este trabalho tem por prop??sito estudar a congru??ncia e a semelhan??a de tri??ngulos como uma proposta o ensino b??sico, cujo objetivo ?? especificar esses casos estabelecendo rela????es para o estudo e egresso ao mestrado profissional, facilitando o processo de ensino-aprendizagem nos n??veis fundamentais e m??dios, por ser um conte??do importante de matem??tica, o mesmo ?? ensinado atrav??s de memoriza????o mec??nica. Com o aux??lio do aplicativo GeoGebra, r??gua e compasso, ocorrer?? uma constru????o l??dica por meio meio desses instrumentos de aprendizagem, sendo suporte para o o estudo professores e alunos. Pretende-se tamb??m desmitificar esse conte??do que normalmente n??o ?? tratado com sutileza e ?? transmitido ao longo dos anos atrav??s de memoriza????o mec??nica e visam aprimorar tamb??m os estudos e pesquisas posteriores.