Thesis (Ph. D.)--Industrial and Systems Engineering, Georgia Institute of Technology, 2006. / Prausnitz, Mark, Committee Member ; Vidakovic, Brani, Committee Member ; Lee, Eva, Committee Chair ; Nemhauser, George, Committee Member ; Johnson, Ellis, Committee Member. Includes bibliographical references.

Submitted by Marlene Aparecida de Souza Cardozo (mcardozo@pucsp.br) on 2017-01-10T10:40:51Z No. of bitstreams: 1 Arnaldo Aragão Santos.pdf: 2425915 bytes, checksum: dd9b7096a2a82c79df00dbc38463f185 (MD5) / Made available in DSpace on 2017-01-10T10:40:51Z (GMT). No. of bitstreams: 1 Arnaldo Aragão Santos.pdf: 2425915 bytes, checksum: dd9b7096a2a82c79df00dbc38463f185 (MD5) Previous issue date: 2016-11-01 / Secretaria de Educação do Estado de São Paulo - SEE / The study undertaken consists of a proposal for reflection on the Jean Etienne Montucla’s work, History of Mathematics, written in the mid-eighteenth century. In this sense, based on analysis of documents, approaches have been developed within the spheres of analysis in the history of science. Although intriguing, the particularities of the writing in History of Mathematics have not been treated enough by their historians who, by the way, barely discuss about their approaches and intentions before the twentieth century. To contextualize the work of Montucla, permeated by the French editorial development, specially the contemporary encyclopaedic genre and secularization of intellectual activities of his time, we seek to contribute to the research on the History of Mathematics and its historiography to seek connections that can be established between the historical development of mathematical knowledge and his writing. In this order, in an attempt to revisit the work of Montucla, we gather efforts to locate her before their relations and intellectual motivations of the mid-eighteenth century. / O estudo empreendido consiste em uma proposta de reflexão sobre a obra História das Matemáticas, de Jean Etienne Montucla, escrita em meados do século XVIII. Nesse sentido, com base na análise dos documentos, foram desenvolvidas abordagens dentro das esferas de análise em história da ciência. Apesar de intrigante, as particularidades da escrita da história da matemática não têm sido muito tratadas pelos historiadores que, por sinal, pouco discutem sobre suas abordagens e intencionalidades anteriores ao século XX. Ao contextualizar a obra de Montucla, permeada pelo desenvolvimento editorial francês, com destaque para o gênero enciclopédico contemporâneo e a secularização das atividades intelectuais de seu período, procuramos contribuir com as investigações sobre a História da Matemática e sua historiografia ao buscar conexões que podem ser estabelecidas entre o desenvolvimento histórico do conhecimento matemático e sua escrita. Nesse intuito, na tentativa de revisitar a obra de Montucla, reunimos esforços para localizá-la diante de suas relações e motivações intelectuais de meados do século XVIII.

TITLE: Didactical situations in mathematics at lower secondary level. The classification of quadrilaterals based on selected characteristics. AUTHOR: Bc. Kateřina Vladyková DEPARTMENT: Department of Mathematics and Mathematical Education SUPERVISOR: Prof. RNDr. Jarmila Novotná, CSc. ABSTRACT: This thesis deals with the possible use of the Theory of didactical situations in mathematics at the lower secondary level of Czech school. It is specifically focused on the classification of quadrilaterals based on selected characteristics. The thesis consists of two parts, theoretical and practical. The theoretical part deals mainly with the introduction of Theory of didactical situations, defining and explaining their basic concepts. The thesis also briefly introduces currently existing curricula in the Czech Republic, in which quadrilaterals were the author's main focus. Furthermore, the topic is analyzed from educational materials (textbooks) used in Czech primary schools. In the experimental part of the thesis the author presents a detailed script of educational unit. It is a practical demonstration of a particular theory of didactic situations in teaching mathematics at the Czech elementary school, which is developed and implemented according to the principles of the theory of didactic situations. The thesis...