Submitted by ROMARIO SIDRONE DE SOUZA null (romario.sidrone@gmail.com) on 2017-03-22T13:09:53Z No. of bitstreams: 1 Equações Diofantinas Lineares, Quadráticas e Aplicações.pdf: 841142 bytes, checksum: 07c262b2dc6963eba6f51b8c68808746 (MD5) / Rejected by Luiz Galeffi (luizgaleffi@gmail.com), reason: Solicitamos que realize uma nova submissão seguindo a orientação abaixo: O arquivo submetido não contém o certificado de aprovação. O arquivo submetido está sem a ficha catalográfica. A versão submetida por você é considerada a versão final da dissertação/tese, portanto não poderá ocorrer qualquer alteração em seu conteúdo após a aprovação. Corrija esta informação e realize uma nova submissão com o arquivo correto. Agradecemos a compreensão. on 2017-03-22T19:27:07Z (GMT) / Submitted by ROMARIO SIDRONE DE SOUZA null (romario.sidrone@gmail.com) on 2017-03-23T17:44:35Z No. of bitstreams: 1 Equações Diofantinas Lineares, Quadráticas e Aplicações.pdf: 921393 bytes, checksum: d6bb7d5e6be28758897ddf73120e42b2 (MD5) / Approved for entry into archive by Luiz Galeffi (luizgaleffi@gmail.com) on 2017-03-24T17:25:51Z (GMT) No. of bitstreams: 1 souza_rs_me_rcla.pdf: 921393 bytes, checksum: d6bb7d5e6be28758897ddf73120e42b2 (MD5) / Made available in DSpace on 2017-03-24T17:25:51Z (GMT). No. of bitstreams: 1 souza_rs_me_rcla.pdf: 921393 bytes, checksum: d6bb7d5e6be28758897ddf73120e42b2 (MD5) Previous issue date: 2017-03-07 / Este trabalho é resultado de uma pesquisa bibliográfica sobre Diofanto e as equações que levam seu nome, as equações diofantinas. Mais especificamente, apresentamos as equações diofantinas lineares e alguns casos particulares das equações diofantinas quadráticas. Ainda, abordamos um estudo sobre alguns tópicos de teoria dos números e frações contínuas, afim de facilitar o entendimento sobre os teoremas e resultados acerca do tema central deste trabalho. / This work is the result of a bibliographical research about Diophantus and the equations that take his name, the Diophantine equations. More specifically, we present the linear diophantine equations and some particular cases of the quadratic diophantine equations. We have also studied topics about number theory and continuous fractions, in order to facilitate the understanding of theorems and results that are related to the central theme of this work.

5 TITLE: A priori analysis as a part of teacher's lesson planning AUTHOR: Mgr. Hana Nováková DEPARTMENT: Department of Mathematics and Mathematical Education SUPERVISOR: Prof. RNDr. Jarmila Novotná, CSc. This thesis focuses on a priori analysis as a part of teacher's lesson planning. The theoretical background consists of the Theory of didactical situations in Mathematics (TDSM). In TDSM, the a priori analysis is seen as one of the teacher's tools that he/she has when planning a lesson. The goal of the thesis is to analyse differences between a priori analysis as described in TDSM and the reality in teacher's practice, to compare lesson plans of experienced teachers with those of students and demonstrate the significance and application of a priori analysis in teacher's and researcher's practice. The thesis consists of three parts, theoretical, experimental and applicational. In the theoretical part, the main concepts of TDSM linked with a priori analysis are explained and the issue of teacher's lesson planning is presented. The experimental part starts with a pre-experiment. Its results contributed to precise the structure of a priori analysis for further use. During the main experiment, the lesson plans of experienced teachers were compared with those of pre-service teachers. The differences and the...