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Made available in DSpace on 2016-04-27T16:58:11Z (GMT). No. of bitstreams: 1 dissertacao_edelweiss_pelho.pdf: 627142 bytes, checksum: 04030b3bcd8d33310f91dc5abfe76e75 (MD5) Previous issue date: 2003-05-05 / This research aims to introduce the concept of function throughout the comprehension of the dependable and undependable variables, and of the relation between them. Its fundaments are on the Didactics Engineering principles by the creation and application of a teaching activity sequence and a posterior analysis of the collected data. It is based on Raymond Duval s Theory of Semiotic Representation of Register. The teaching activity sequence is derived from the research of Kieran & Sfard (1999) about the algebra school mathematics teaching and a Duval s research (1988) about the articulation between the graphical and algebraic registers. On of the teaching tools used during the application of the activity sequence was a software called Cabri-Géomètre II, besides paper and pencils. The activity sequence was applied to second-year-high school students in a private school in the city of Araçatuba, northwest of the state of São Paulo, Brazil. The protocols of six pairs of the participating students presents in every section were analyzed. The results convey the existence of a certain increase among the students of the development in understanding the concept due to the comprehension and the relation between the variables as well as to the corresponding articulation among the different representation registers of the function / O objetivo deste trabalho é introduzir o conceito de função por meio da compreensão das variáveis dependentes e independentes, e do relacionamento entre elas. Fundamenta-se nos princípios da Engenharia Didática com a elaboração e aplicação de uma seqüência de ensino e posterior análise dos dados coletados. Está embasado na Teoria dos Registros de Representação Semiótica de Raymond Duval. A seqüência de ensino orienta-se em uma pesquisa de Kieran e Sfard (1999), sobre o ensino da álgebra escolar e em um trabalho Duval (1988) sobre a articulação entre os registros gráfico e algébrico. Uma das ferramentas de ensino utilizadas na aplicação da seqüência foi o software Cabri-Géomètre II, além do uso de apenas papel e lápis. A seqüência foi aplicada com alunos do segundo ano do ensino médio de uma escola particular da cidade de Araçatuba, interior do estado de São Paulo. Foram analisados os protocolos de seis duplas, que participaram de todas as sessões. Os resultados obtidos levam a concluir que houve uma evolução por parte dos alunos, na apreensão do conceito de função, propiciado pela compreensão e relacionamento entre as variáveis e pelas devidas articulações entre os diferentes registros de representação da função

Modern science is turning to progressively more complex and data-rich subjects, which challenges the existing methods of data analysis and interpretation. Consequently, there is a pressing need for development of ever more powerful methods of extracting order from complex data and for automation of all steps of the scientific process. Virtual Scientist is a set of computational procedures that automate the method of inductive inference to derive a theory from observational data dominated by nonlinear regularities. The procedures utilize SINBAD – a novel computational method of nonlinear factor analysis that is based on the principle of maximization of mutual information among non-overlapping sources (Imax), yielding higherorder features of the data that reveal hidden causal factors controlling the observed phenomena. One major advantage of this approach is that it is not dependent on a particular choice of learning algorithm to use for the computations. The procedures build a theory of the studied subject by finding inferentially useful hidden factors, learning interdependencies among its variables, reconstructing its functional organization, and describing it by a concise graph of inferential relations among its variables. The graph is a quantitative model of the studied subject, capable of performing elaborate deductive inferences and explaining behaviors of the observed variables by behaviors of other such variables and discovered hidden factors. The set of Virtual Scientist procedures is a powerful analytical and theory-building tool designed to be used in research of complex scientific problems characterized by multivariate and nonlinear relations.