Airman's manual for drill and formation;

Mode of access: Internet.

Learning mathematics in a classroom community of inquiry

This article considers the question of what specific actions a teacher might take to create a culture of inquiry in a secondary school mathematics classroom. Sociocultural theories of learning provide the framework for examining teaching and learning practices in a single classroom over a two-year period. The notion of the zone of proximal development (ZPD) is invoked as a fundamental framework for explaining learning as increasing participation in a community of practice characterized by mathematical inquiry. The analysis draws on classroom observation and interviews with students and the teacher to show how the teacher established norms and practices that emphasized mathematical sense-making and justification of ideas and arguments and to illustrate the learning practices that students developed in response to these expectations.

Pendant drop formation of shear-thinning and yield stress fluids

A volume-of-fluid numerical method is used to predict the dynamics of shear-thinning liquid drop formation in air from a circular orifice. The validity of the numerical calculation is confirmed for a Newtonian liquid by comparison with experimental measurements. For particular values of Weber number and Froude number, predictions show a more rapid pinch-off, and a reduced number of secondary droplets, with increasing shear-thinning. Also a minimum in the limiting drop length occurs for the smallest Weber number as the zero-shear viscosity is varied. At the highest viscosity, the drop length is reduced due to shear-thinning, whereas at lower viscosities there is little effect of shear-thinning. The evolution of predicted drop shape, drop thickness and length, and the configuration at pinch-off are discussed for shear-thinning drops. The evolution of a drop of Bingham yield stress liquid is also considered as a limiting case. In contrast to the shear-thinning cases, it exhibits a plug flow prior to necking, an almost step-change approach to pinch-off of a torpedo shaped drop following the onset of necking, and a much smaller neck length; no secondary drops are formed. The results demonstrate the potential of the numerical model as a design tool in tailoring the fluid rheology for controlling drop formation behaviour. (c) 2006 Elsevier Inc. All rights reserved.

POR UM ENSINO APRENDENTE: A FORMAÇÃO DE PROFESSORES DAS CIÊNCIAS NO SÉCULO XXI

A presente pesquisa investiga a formação de professores das ciências e sua perspectiva para o século XXI, a partir da análise das manifestações acadêmico-científicas de docentes doutores pesquisadores em educação científica nas áreas de Biologia, Química, Física, Matemática e Ciências da Natureza. Trata-se de uma pesquisa de natureza qualitativa, cuja narrativa procura contemplar aspectos de formação dessas áreas em meio aos conflitos, embates, especificidades e necessidades do atual contexto educacional. Busco tratar de visões e assumir posições sobre o que os professores das Ciências precisam aprender, pela configuração das tendências de formação e das práticas de ensino e de aprendizagem consideradas no século XX, bem como das projeções do que se põe como desejável para o século XXI. Nesse âmbito, identifico cinco categorias analíticas que são postas a partir de entrevistas junto aos meus sujeitos de pesquisa. Em relação à primeira categoria de pesquisa as tendências apontam que os conteúdos científicos são imprescindíveis, porém não suficientes durante o processo educativo, havendo necessidade de juntar o seu valor formativo. A segunda categoria traz a consideração do aluno no processo de aprender e ensinar ciências. Dentre o que não pode mais ser admissível neste século, a terceira categoria discute a dissociação entre ciência, tecnologia e sociedade atrelada a uma visão fragmentada de ciência. A quarta categoria aponta o que é posto de novidade na formação de professores das ciências, e a quinta categoria põe em discussão as necessidades formativas de professores das ciências para o século XXI. As análises dessas tendências em função dos relatos e entrevistas desses sujeitos de pesquisa são responsáveis pela integração entre o ensinar e o aprender, compartilhando os saberes pedagógicos, filosóficos, sociológicos, científicos. A partir da literatura atual sobre a formação de professores de ciências, procuro dar conta de algumas inquietações que permeiam a investigação e corroboram com uma mudança epistemológica do ensino: Quais aspectos devem ser prioritariamente considerados no âmbito da formação de professores das ciências? Quais as necessidades formativas desses professores? As contribuições acadêmicas a respeito dos saberes profissionais dos professores têm contribuído sobremaneira para o estabelecimento de uma cultura reflexiva em torno da prática docente de forma bastante crítica. Palavras-chave: 1. Formação de professores; 2. Ensino das ciências; 3. Necessidades formativas no século XXI.

FORMAÇÃO CONTINUADA DE PROFESSORES ALFABETIZADORES: COMO APRENDE O PROFESSOR?

Este estudo versa sobre a análise do processo de aprendizagem de alguns professores alfabetizadores da Rede Estadual de Educação de São Paulo e buscou compreender onde e como este grupo de profissionais aprende os conteúdos necessários para alfabetizar na perspectiva da construção de conhecimento. A hipótese que orienta esta análise é a de que um professor bem-formado tem mais condição de intervir na aprendizagem de seus alunos e, gradativamente, contribuir para a garantia do direito de todas as crianças se alfabetizarem. Parte também da hipótese de que, compreendendo o processo de aprendizagem destes educadores, as ações de formação podem ser mais eficazes. Por meio de pesquisa empírica, revisão bibliográfica e análise documental, esta dissertação organiza-se da seguinte forma: na Introdução é anunciada a trajetória profissional da proponente e sua relação com os programas de alfabetização e com as propostas de formação de educadores das Redes Públicas de Educação de São Paulo. O primeiro Capítulo tece a fundamentação teórica na qual os programas de formação de professores alfabetizadores de São Paulo são organizados. No segundo Capítulo é realizado um breve histórico sobre os programas de formação de professores alfabetizadores da Rede Estadual de Ensino, no período de 1984 a 2010, com uma análise sobre a coerência entre as concepções de ensino e aprendizagem, e as concepções que embasam os diferentes programas institucionais. No terceiro Capítulo são descritos os caminhos percorridos no processo de realização da pesquisa empírica. Nas Considerações Finais foram retomadas, em síntese, as discussões realizadas no desenvolvimento dos capítulos, recuperando a essência das análises a partir dos dados coletados, expressando os resultados da investigação. Foram aplicados questionários de perfil e realizadas entrevistas com 13 sujeitos envolvidos com o Programa Ler e Escrever da Rede Estadual de Ensino de São Paulo, envolvendo desde professores alfabetizadores até os organizadores do Programa. A fundamentação teórica deste estudo ocorreu, principalmente, a partir das contribuições de Piaget (1967); Ferreiro e Teberosky (1985); Ferreiro (1989; 1992; 2002; 2007); Becker (1993); Coll (1992); Lerner (2002) que se orientam pela concepção de construção de conhecimento e tratam da aprendizagem da leitura e escrita, da formação do professor e da didática da alfabetização e da Matemática; e Alarcão (2008), Lerner (2002) e Tardif (2002) que abordam a formação docente. A análise dos dados foi realizada a partir da fundamentação e dos procedimentos de Análise Temática do Conteúdo, conforme Bardin (2008) que resultou na elaboração de apreciações de condições que devem ser consideradas na formação de professores alfabetizadores. Os resultados obtidos apontam para algumas inferências sobre o processo de aprendizagem dos professores alfabetizadores que, se consideradas nas propostas, podem contribuir para a maior eficiência dos programas de formação, resultando em melhor apropriação pelos professores dos conteúdos envolvidos na alfabetização, na melhoria da qualidade da aprendizagem dos alfabetizandos e, consequentemente, na formação de leitores plenos e escritores eficientes.

Formation of Singularities for Weakly Non-Linear N×N Hyperbolic Systems

We present some results on the formation of singularities for C^1 - solutions of the quasi-linear N × N strictly hyperbolic system Ut + A(U )Ux = 0 in [0, +∞) × Rx . Under certain weak non-linearity conditions (weaker than genuine non-linearity), we prove that the first order derivative of the solution blows-up in finite time.

The Beginning of a Partnership in the Process of Studying Mathematics

In this paper we present the beginning of a partnership between the students in the upper classes and those in the beginner classes in 21st Secondary School “Hristo Botev”, Sofia. We examine deeply two of the used types of cooperative activity. The work shows the main steps in the organization of the project. We have included the motives for work both of the teachers and the students. The present work shows the concrete advantages for the different age groups and the reflection on the parents, as well.

Test, Teachers, Quorum (Pure Populations)

The “trial and error” method is fundamental for Master Minddecision algorithms. On the basis of Master Mind games and strategies weconsider some data mining methods for tests using students as teachers.Voting, twins, opposite, simulate and observer methods are investigated.For a pure data base these combinatorial algorithms are faster then manyAI and Master Mind methods. The complexities of these algorithms arecompared with basic combinatorial methods in AI. ACM Computing Classification System (1998): F.3.2, G.2.1, H.2.1, H.2.8, I.2.6.

Teacher’s Presence and Immediacy in e-Learning Classes

Report published in the Proceedings of the National Conference on "Education and Research in the Information Society", Plovdiv, May, 2016

A comparison of content-based and context-based teaching on ninth-grade mathematics achievement

The purpose of this study was to determine if an experimental context-based delivery format for mathematics would be more effective than a traditional model for increasing the performance in mathematics of at-risk students in a public high school of choice, as evidenced by significant gains in achievement on the standards-based Mathematics subtest of the FCAT and final academic grades in Algebra I. The guiding rationale for this approach is captured in the Secretary's Commission on Achieving Necessary Skills (SCANS) report of 1992 that resulted in school-to-work initiatives (United States Department of Labor). Also, the charge for educational reform has been codified at the state level as Educational Accountability Act of 1971 (Florida Statutes, 1995) and at the national level as embodied in the No Child Left Behind Act of 2001. A particular focus of educational reform is low performing, at-risk students. ^ This dissertation explored the effects of a context-based curricular reform designed to enhance the content of Algebra I content utilizing a research design consisting of two delivery models: a traditional content-based course; and, a thematically structured, content-based course. In this case, the thematic element was business education as there are many advocates in career education who assert that this format engages students who are often otherwise disinterested in mathematics in a relevant, SCANS skills setting. The subjects in each supplementary course were ninth grade students who were both low performers in eighth grade mathematics and who had not passed the eighth grade administration of the standards-based FCAT Mathematics subtest. The sample size was limited to two groups of 25 students and two teachers. The site for this study was a public charter school. Student-generated performance data were analyzed using descriptive statistics. ^ Results indicated that contrary to the beliefs held by many, contextual presentation of content did not cause significant gains in either academic performance or test performance for those in the experimental treatment group. Further, results indicated that there was no meaningful difference in performance between the two groups. ^

Microteaching Lesson Study: Mentor interaction structure and its relation to elementary preservice mathematics teacher knowledge development

This study investigated Microteaching Lesson Study (MLS) and three possible MLS mentor interaction structures during the debriefing sessions in relation to elementary preservice teacher development of knowledge for teaching. One hundred three elementary preservice teachers enrolled in five different sections of a mathematics methods course at a southern urban university were part of the study. This included 72 participants who completed MLS across three different mentor interaction structures as part of their course requirements and 31 elementary preservice teachers who did not complete MLS as part of their methods course and served as a comparison group for a portion of the study. A sequential mixed-methods research design was used to analyze the relationship between MLS mentor interaction structure and growth in preservice teachers' mathematics teacher knowledge. Data sources included pre and post assessments, group developed lesson plans and final reports, a feedback survey with Likert-type and open-ended questions, and transcripts of audio-recorded debriefing sessions. The pre and post assessments were analyzed using Analysis of Variance (ANOVA) and descriptive statistics were used to analyze the Likert-type feedback survey questions. Group MLS lesson plans, final reports, and transcripts of debriefing sessions along with the open-ended questions from the feedback survey were coded in a three-step process as described by Miles and Huberman (1994). In alignment with findings from M. Fernandez (2005, 2010), elementary preservice teachers participating in MLS grew in content knowledge related to MLS topics taught by one another. Results from the analysis of pre and post content knowledge assessments revealed that participants grew in their understanding of the mathematics topics taught during MLS irrespective of their mentor interaction structure and when compared to the participants who did not complete MLS in their methods course. Findings from the analysis of lesson plans for growth in pedagogical content knowledge revealed the most growth in this area occurred for participants assigned to the interaction structure in which the MLS mentor participated in the first two debriefing sessions. Analysis of the transcripts of the discourse during the debriefing sessions and the feedback surveys support the finding that the elementary preservice teachers assigned to the interaction structure in which the MLS mentor participated in the first and second debriefing sessions benefited more from the MLS experience when compared to elementary preservice teachers assigned to the other two interaction structures (MLS mentor participated in only the first debriefing session and MLS mentor participated in only the last debriefing session).