Orientador: Claudina Izepe Rodrigues / Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica / Made available in DSpace on 2018-08-12T05:50:13Z (GMT). No. of bitstreams: 1 Sousa_AlexandrePereira_M.pdf: 2225572 bytes, checksum: cfb663a28dc18e6cca11fb9f1f98c872 (MD5) Previous issue date: 2008 / Resumo: Neste trabalho estudamos isometrias e similaridades no espaço Euclidiano de dimensão três com o objetivo de suas classificações. Apresentamos inicialmente alguns fatos históricos referentes à Geometria, e, a seguir, desenvolvemos um estudo sobre isometrias e similaridades usando ferramentas e conceitos de grupos. Finalmente, sugerimos algumas atividades úteis para uma familiarização e desenvolvimento de habilidades na investigação de simetrias de figuras. / Abstract: The objective of this work is to classify isometries and similarities on three dimensional Euclidean space. We present some historic facts about Geometry followed by a study on isometries and similarities using tools and concepts from groups. We also suggest some helpful activities to develop abilities in the investigation of symmetry groups of figures. / Mestrado / Geometria / Mestre em Matemática

Thesis (M.Ed.)--University of Hong Kong, 2003. / Also available in print.

Submitted by Ricardo Cedraz Duque Moliterno (ricardo.moliterno@uefs.br) on 2018-01-30T21:51:30Z No. of bitstreams: 1 Disserta??o James Cordeiro Vers?o Final MPASTRO.pdf: 2857841 bytes, checksum: 0d5aee9d5954e72ec91dba99ec10d86d (MD5) / Made available in DSpace on 2018-01-30T21:51:30Z (GMT). No. of bitstreams: 1 Disserta??o James Cordeiro Vers?o Final MPASTRO.pdf: 2857841 bytes, checksum: 0d5aee9d5954e72ec91dba99ec10d86d (MD5) Previous issue date: 2017-08-23 / This research aims to implement the didactic sequence as a teaching strategy that can enable the improvement of mathematical skills in Mathematics? and Physics? classes, contextualized in Astronomy. The research question was guided by the following question: What are the contributions of the Didactic Sequence in the improvement of students' mathematical abilities, using concepts of physics and mathematics contextualized in Astronomy? Thus, this research is configured as applied research, anchored in the principles of the qualitative approach. For that, we developed and analyzed Didactic Sequences, which were elaborated based on the Guidelines of the National Curricular Parameters on the Universe, Earth and Life theme, on suggestions of activities of the Brazilian Astronomy Olympiad (OBA) based on the theory of Significant Critical Learning. The subjects involved in the process were the High School Students of the Assis Chateaubriand Integrated Education Center (CIEAC). It was a relevant study that sought to use students' experiences and knowledge, from a reflexive listening. This enabled me to perceive that a pedagogical practice, which considers the subjects of the process, contributes to a motivating learning exercise. In the case of Mathematics? and Physics? teaching, it helps to improve the mathematical skills of high school students, using concepts contextualized in Astronomy. / Esta pesquisa tem como objeto de estudo implementar a Sequ?ncia Did?tica enquanto estrat?gia de ensino que pode possibilitar a melhoria de habilidades matem?ticas nas aulas de Matem?tica e F?sica, contextualizada na Astronomia. A problem?tica da pesquisa se norteou a partir do seguinte questionamento: Quais as contribui??es da Sequ?ncia Did?tica na melhoria de habilidades matem?ticas dos estudantes, utilizando-se de conceitos de f?sica e matem?tica contextualizados na Astronomia? Desse modo, esta investiga??o configura-se enquanto pesquisa aplicada, ancorada nos princ?pios da abordagem qualitativa. Para tanto foram desenvolvidas e analisadas Sequ?ncias Did?ticas, que foram elaboradas com base nas Orienta??es dos Par?metros Curriculares Nacionais na tem?tica Universo, Terra e Vida, em sugest?es de atividades da Olimp?ada Brasileira de Astronomia (OBA) embasadas na teoria da Aprendizagem Significativa Cr?tica. Os sujeitos envolvidos no processo foram os Estudantes do Ensino M?dio do Centro Integrado de Educa??o Assis Chateaubriand (CIEAC). Foi um estudo relevante que procurou utilizar experi?ncias e conhecimentos dos estudantes, a partir de uma escuta reflexiva. A qual me possibilitou a percep??o que uma pr?tica pedag?gica, que considere os sujeitos do processo, contribui para um exerc?cio motivador de aprendizagem. No caso do ensino da Matem?tica e da F?sica, auxilia na melhoria de habilidades matem?ticas dos estudantes do Ensino M?dio, utilizando-se de conceitos contextualizados na Astronomia.

Teachers and administrators in a Title I elementary school in a southeastern state are concerned that there has been a trend over the past 3 years of declining standardized assessment scores in mathematics for students in Grades 3, 4, and 5. The purpose of this qualitative case study was to explore teachers' perceptions of practices, and professional development (PD) for differentiating mathematics instruction. This study was grounded in the conceptual framework of Vygotsky's zone of proximal development and Tomlinson's differentiated instruction (DI). Purposeful sampling was used to select 8 teachers and 1 mathematics coach, who worked with students in Grades 3, 4, and 5 at the target school. Data were collected through interviews and classrooms observations with participants. Open coding and thematic analysis were used to identify emergent themes from the data. The key findings were that, while some teachers attempted to differentiate mathematics instruction for struggling students, the participants felt they needed more PD related to specific strategies for differentiation and more planning time to collaborate with other educators in order to implement differentiated instruction effectively for all students. In response to these findings, a PD project was created for teachers in Grades 3, 4, and 5 to involve them in construction of a variety of strategies for planning and implementing differentiated instruction in mathematics. Positive social change might occur when teachers feel supported by the district to schedule ongoing opportunities to collaboratively plan and implement effective differentiated mathematics instruction to advance students' mathematics achievement in the local Title I school.

published_or_final_version / Education / Master / Master of Education