Trabalhar com a matemática em educação de infância

Este estudo tem como principal objetivo compreender e analisar o modo como crianças de creche e jardim-de-infância resolvem problemas matemáticos e o que pode constranger a resolução. Em particular, procurei analisar a atividade matemática que as crianças desenvolvem quando se confrontam com problemas matemáticos e os desafios com que se deparam. Do ponto de vista metodológico, o estudo enquadra-se numa abordagem qualitativa de investigação e num paradigma interpretativo. Além disso, trata-se de uma investigação-ação orientada pela questão “como otimizar a atividade de resolver problemas matemáticos em contextos de educação de infância?”. Neste âmbito, propus a quatro crianças de creche e a 21 de jardim-de-infância um conjunto de tarefas selecionadas para, potencialmente, terem, para si, algum grau de desafio. Os principais métodos de recolha de dados foram a observação participante, a análise documental e um inquérito por questionário realizado às educadoras cooperantes. O estudo ilustra que é possível envolver crianças de creche e de jardim-de-infância numa atividade de resolução de problemas matemáticos e que esta atividade é favorecida se o contexto dos problemas estiver próximo do que fazem no dia-a-dia da sala. Durante o processo de resolução das tarefas propostas, foram mobilizadas e trabalhadas diversas noções matemáticas. Na creche, todas as crianças evidenciaram possuir conhecimentos acerca da noção topológica “dentro de” e “fora de” e algumas foram bem-sucedidas no uso do processo de classificação, tendo em conta um critério. Neste âmbito, recorreram a representações ativas. No jardim-de-infância, todas as crianças conseguiram fazer a contagem sincronizada das letras do seu nome, de indicar a quantidade de letras, o que indicia o conhecimento da noção de cardinal, e de representar esta quantidade recorrendo tanto a numerais como a representações icónicas. Além disso, foram capazes de interpretar uma tabela de modo a construir um gráfico com barras e de elaborar um pictograma, o que revela possuírem conhecimentos ao nível da literacia estatística. Por último, algumas crianças foram bem-sucedidas na descoberta de estratégias de resolução de problemas que lhes permitiram inventariar exaustivamente todas as possibilidades de resolução e contar, organizadamente, estas possibilidades. No decurso desta atividade surgiram tentativas de generalização, embora nem sempre corretas, sobressaindo o recurso a representações ativas nomeadamente à dramatização de situações. Quanto aos desafios com que se depararam destacam-se, no caso da creche, o uso correto do processo de classificação. No caso do jardim-de-infância, as crianças demonstraram dificuldades em distinguir a legenda do pictograma dos dados, em resolver um problema em que estava em jogo o sentido combinatório da multiplicação e em encontrar estratégias de generalização. O estudo indicia, ainda, que é essencial que o educador proponha tarefas diversificadas e desafiantes que, partindo sempre da curiosidade e interesse das crianças, lhes permitam trabalhar com ideias matemáticas importantes e representar adequadamente o conhecimento com que lidam.

Aplicación e impacto de las tics en la enseñanza de las matemáticas: una revisión sistemática

Esta investigación buscó, recolectó, analizó y sistematizó información, en español, sobre estudios empíricos delas Tics aplicadas a la enseñanza de las matemáticas. Se utilizó el método de la revisión sistemática; las unidades de estudio fueron los artículos y tesis de maestría publicados en los últimos 5 años,a los que se pudo acceder a través de repositorios digitales de la Universidad de Cuenca: EBSCO, SCOPUS y COBUEC;de los 219 estudiosencontrados, en base a los criterios de inclusión y exclusión, se seleccionaron 13 con el objetivo de integrar sistemáticamente la información, determinar el estado del arte, impacto, aportaciones y limitaciones en la enseñanza de las matemáticas. Los resultados más importantes queobtuvieron de esta investigación son:Es escasa la información en español sobre las Tics en la enseñanza de las matemáticas realizadas en estudios empíricos;en el Ecuador la mayoría de las tesis de maestría sobre esta temática son propuestas metodológicas o guías didácticas. En los estudios analizados,el software Geogebra es el más utilizado y los temas más abordados son función lineal y ecuaciones lineales y se veque todos los estudios generan aportaciones y limitaciones en los estudiantes durante las intervenciones con las Tics en el proceso de enseñanza aprendizaje. Se puede concluir que utilizar adecuadamente las Tics en la enseñanza de las matemáticas puede ayudar a mejorar aspectos motivacionales, actitudinales y académicos en los estudiantes, aunque todavía queda abierto un gran campo por estudiar sobre esta temática, tanto en el nivel básico, secundario y superior.

Development of new scenario decomposition techniques for linear and nonlinear stochastic programming

Une approche classique pour traiter les problèmes d’optimisation avec incertitude à deux- et multi-étapes est d’utiliser l’analyse par scénario. Pour ce faire, l’incertitude de certaines données du problème est modélisée par vecteurs aléatoires avec des supports finis spécifiques aux étapes. Chacune de ces réalisations représente un scénario. En utilisant des scénarios, il est possible d’étudier des versions plus simples (sous-problèmes) du problème original. Comme technique de décomposition par scénario, l’algorithme de recouvrement progressif est une des méthodes les plus populaires pour résoudre les problèmes de programmation stochastique multi-étapes. Malgré la décomposition complète par scénario, l’efficacité de la méthode du recouvrement progressif est très sensible à certains aspects pratiques, tels que le choix du paramètre de pénalisation et la manipulation du terme quadratique dans la fonction objectif du lagrangien augmenté. Pour le choix du paramètre de pénalisation, nous examinons quelques-unes des méthodes populaires, et nous proposons une nouvelle stratégie adaptive qui vise à mieux suivre le processus de l’algorithme. Des expériences numériques sur des exemples de problèmes stochastiques linéaires multi-étapes suggèrent que la plupart des techniques existantes peuvent présenter une convergence prématurée à une solution sous-optimale ou converger vers la solution optimale, mais avec un taux très lent. En revanche, la nouvelle stratégie paraît robuste et efficace. Elle a convergé vers l’optimalité dans toutes nos expériences et a été la plus rapide dans la plupart des cas. Pour la question de la manipulation du terme quadratique, nous faisons une revue des techniques existantes et nous proposons l’idée de remplacer le terme quadratique par un terme linéaire. Bien que qu’il nous reste encore à tester notre méthode, nous avons l’intuition qu’elle réduira certaines difficultés numériques et théoriques de la méthode de recouvrement progressif.

Development of new scenario decomposition techniques for linear and nonlinear stochastic programming

Une approche classique pour traiter les problèmes d’optimisation avec incertitude à deux- et multi-étapes est d’utiliser l’analyse par scénario. Pour ce faire, l’incertitude de certaines données du problème est modélisée par vecteurs aléatoires avec des supports finis spécifiques aux étapes. Chacune de ces réalisations représente un scénario. En utilisant des scénarios, il est possible d’étudier des versions plus simples (sous-problèmes) du problème original. Comme technique de décomposition par scénario, l’algorithme de recouvrement progressif est une des méthodes les plus populaires pour résoudre les problèmes de programmation stochastique multi-étapes. Malgré la décomposition complète par scénario, l’efficacité de la méthode du recouvrement progressif est très sensible à certains aspects pratiques, tels que le choix du paramètre de pénalisation et la manipulation du terme quadratique dans la fonction objectif du lagrangien augmenté. Pour le choix du paramètre de pénalisation, nous examinons quelques-unes des méthodes populaires, et nous proposons une nouvelle stratégie adaptive qui vise à mieux suivre le processus de l’algorithme. Des expériences numériques sur des exemples de problèmes stochastiques linéaires multi-étapes suggèrent que la plupart des techniques existantes peuvent présenter une convergence prématurée à une solution sous-optimale ou converger vers la solution optimale, mais avec un taux très lent. En revanche, la nouvelle stratégie paraît robuste et efficace. Elle a convergé vers l’optimalité dans toutes nos expériences et a été la plus rapide dans la plupart des cas. Pour la question de la manipulation du terme quadratique, nous faisons une revue des techniques existantes et nous proposons l’idée de remplacer le terme quadratique par un terme linéaire. Bien que qu’il nous reste encore à tester notre méthode, nous avons l’intuition qu’elle réduira certaines difficultés numériques et théoriques de la méthode de recouvrement progressif.

Aplicação do modelo de Pólya na resolução de problemas de processo : um estudo envolvendo alunos do 2.º ano do 1.º Ciclo do Ensino Básico

Relatório de Estágio apresentado à Escola Superior de Educação do Instituto Politécnico de Castelo Branco para cumprimento dos requisitos necessários à obtenção do grau de Mestre em Educação Pré-Escolar e Ensino do 1.º Ciclo do Ensino Básico.

Sustainability and environmental impact of the Italian ceramic tile industry

The increasing consumption rates among citizens and the uncontrolled exploitation of natural resources have made environmental pollution and management of waste the main problems facing humanity in its upcoming future. Together with generation of energy and transport, industrial production certainly plays a key role in the genesis of these problems. It is for this reason that the concepts of environmental, social and economic sustainability have emerged over the years as the cornerstones for future development. In light of this, the most forward-looking industries have begun to study their impact on environment and society in order to improve their performances and, at the same time, to anticipate the increasingly rigorous environmental regulations. In this work, various performance indicators related to the Italian ceramic tile sector will be presented and discussed. In particular, the emission factor of characteristic pollutants will be reported on a period of up to fifteen years while data regarding waste management, concentration of pollutants and emission legal limits for the last decade will be here disclosed as a result of a vast analysis on recorded data. The collected information describes the present level of performance of the ceramic tile manufacturing industries in Italy and shows how recycling is now a consolidated reality and how some pollutants, such as particulate matter, fluorine and lead are actually disappearing from production processes and how others, such as volatile organic compounds, are increasing instead. Moreover, the adoption of alternative raw materials for the production of ceramic tiles is discussed and the implementation of the recycling of various waste is addressed at experimental or industrial scale. Finally, the development of a new ceramic engobe with high content of waste glass (20%) is presented as an experimental example of reutilization of resources in the ceramic tile industry.

Delivery Of A Urology Online Course Using Moodle Versus Didactic Lectures Methods.

To subjectively and objectively compare an accessible interactive electronic library using Moodle with lectures for urology teaching of medical students. Forty consecutive fourth-year medical students and one urology teacher were exposed to two teaching methods (4 weeks each) in the form of problem-based learning: - lectures and - student-centered group discussion based on Moodle (modular object-oriented dynamic learning environment) full time online delivered (24/7) with video surgeries, electronic urology cases and additional basic principles of the disease process. All 40 students completed the study. While 30% were moderately dissatisfied with their current knowledge base, online learning course delivery using Moodle was considered superior to the lectures by 86% of the students. The study found the following observations: (1) the increment in learning grades ranged from 7.0 to 9.7 for students in the online Moodle course compared to 4.0-9.6 to didactic lectures; (2) the self-reported student involvement in the online course was characterized as large by over 60%; (3) the teacher-student interaction was described as very frequent (50%) and moderately frequent (50%); and (4) more inquiries and requisitions by students as well as peer assisting were observed from the students using the Moodle platform. The Moodle platform is feasible and effective, enthusing medical students to learn, improving immersion in the urology clinical rotation and encouraging the spontaneous peer assisted learning. Future studies should expand objective evaluations of knowledge acquisition and retention.

Governamentalidade democrática e ensino de Filosofia no Brasil contemporâneo

This article takes the concepts of biopower and governmentality as the starting point for an analysis of certain recent Brazilian government documents about the introduction of Philosophy as a subject in secondary school. In the 1980s, this argument centered on Philosophy's so-called criticism and its potential for preparing citizens for a democratic society, was used by the movements aimed to restore democracy in Brazil. This argument appears to have been assimilated by the Brazilian government, because it is stated in the Guidelines and Bases of Education Law, secondary school students should demonstrate knowledge of philosophy necessary for the exercise of citizenship. The argument also appears in documents such as the PCN and PCN+ (National Curricular Parameters) and OCEM (Curriculum Guidelines for Secondary School) in their chapters on Philosophy. These documents are examined here in the light of governmentality, making explicit how Philosophy is equipped to train young people according to what is understood as a modern democratic society.

Visual demonstration of the ionic strength effect in the classroom: the Debye-Hückel limiting law

The effects of ionic strength on ions in aqueous solutions are quite relevant, especially for biochemical systems, in which proteins and amino acids are involved. The teaching of this topic and more specifically, the Debye-Hückel limiting law, is central in chemistry undergraduate courses. In this work, we present a description of an experimental procedure based on the color change of aqueous solutions of bromocresol green (BCG), driven by addition of electrolyte. The contribution of charge product (z+|z-|) to the Debye-Hückel limiting law is demonstrated when the effects of NaCl and Na2SO4 on the color of BCG solutions are compared.

A COMPETÊNCIA LEXICAL DE ALUNOS UNIVERSITÁRIOS APRENDENDO A LER EM INGLÊS COMO LÍNGUA ESTRANGEIRA

This article presents a characterization of the lexical competence (vocabulary knowledge and use) of students learning to read in EFL in a public university in São Paulo state. Although vocabulary has been consistently cited as one of the EFL reader´s main source of difficulty, there is no data in the literature which shows the extent of the difficulties. The data for this study is part of a previous research, which investigates, from the perspective of an interactive model of reading, the relationship between lexical competence and EFL reading comprehension. Quantitative as well as qualitative data was considered. For this study, the quantitative data is the product of vocabulary tests of 49 subjects while the qualitative data comprises pause protocols of three subjects, with levels of reading ability ranging from good to poor, selected upon their performance in the quantitative study. A rich concept of vocabulary knowledge was adapted and used for the development of vocabulary tests and analysis of protocols. The results on both studies show, with a few exceptions, the lexical competence of the group to be vague and imprecise in two dimensions: quantitative (number of known words or vocabulary size) and qualitative (depth or width of this knowledge). Implications for the teaching of reading in a foreign context are discussed.

Sistema Fonológico do Português: Rediscutindo o Consenso

Problems identified in the study and analysis of the phonology of Brazilian Indian languages belonging to the Macro-Jê branch such as Kaingang, Maxakali, and Mebengokre led the author to confirm the accuracy of some intuitions on the part of Piggott (1992) and Rice (1993) on dealing with relations between nasality and sonorancy (D'Angelis 1998). The applicability of the approach to the distinct processes of nasality and nasalization in Portuguese was verified with surprising results that recover some intuitions of Trubetzkoy (1939) and contribute to reconfirm the Mattoso Câmara's (1953; 1970) considerations, but at the same time go beyond them. This article presents the result of this investigation and its conclusions that suggest the validity and the necessity of reexamining even the phonemic inventory of the Portuguese language, an issue not at all questioned in the teaching of phonology, to take into account the linguistic changes in the phonological system of that language in the last fifty years.

Metodos de avaliação em Educação Fisica no ensino fundamental

Universidade Estadual de Campinas . Faculdade de Educação Física

Desenvolvimento de um laboratorio basico de biomecanica

Universidade Estadual de Campinas. Faculdade de Educação Física

O ensino das disciplinas esportivas coletivas nos cursos de Licenciatura em Goias : um estudo descritivo

Universidade Estadual de Campinas . Faculdade de Educação Física

Proposta de avaliação motora para portadores de deficiencia visual em coordenação, equilibrio e orientação espacial

Universidade Estadual de Campinas . Faculdade de Educação Física