Um estudo de retas do plano e uma abordagem para o ensino médio com o software GeoGebra

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Considerações teóricas sobre o uso da informática na resolução de problemas de trigonometria

The present work is determined to analyse trigonometry problem solving with the help of CabriGéomètre II software from the perspective of two axes of mathematics teaching which are: the concept formation in Klausmeier and Goodwin´s perspective(1977) and problem solving according to Sternberg’s conception(2000). With such an approach traces of a more significant learning may be found , which according to Ausubel(1980) enables the adoption of better teaching and learning practices.

A aplicação de uma sequencia didática: caixa eletrônico

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Teacher-learning process based on an immersive and interactive environment

This paper explores the benefits of using immersive and interactive multiprojection environments (CAVE) to visualize molecules, and how it improves users’ understanding. We have proposed and implemented a tool for teachers to manipulate molecules and another to edit molecules and assist students at home. The contribution of the present research project are these tool that allows investigating structures, properties and dynamics of a molecular system which are extremely complex and comprises millions of atoms. The experience is enriched through multimedia information associated with parts of the model; for example, videos and text can be linked to specific molecule, demonstrating some detail. This solution is based on a teaching-learning process.

Futuros Matemáticos e suas concepções sobre o conhecimento matemático e seu ensino

Taking referential theoretical conceptions of mathematical knowledge present in some of the main mathematics philosophical currents and considering that the teacher´s practice is influenced by his conception of mathematical knowledge, this research aims to understand the conceptions of mathematical knowledge and its teaching and learning teaching of future mathematicians. It follows a qualitative approach (case study) in which the data were collected by semi-structured interviews and document analysis. This investigation has pointed out that Mathematics together with Mathematics Teaching (or part of this: on the didactic and pedagogical knowledge of how to teach) could be important to formation of the future mathematician, who will probably teach in a college or university.

Programa Institucional de Bolsas de Iniciação à Docência – PIBID – e a formação inicial de professores

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Programação no ensino de matemática utilizando Processing 2: Um estudo das relações formalizadas por alunos do ensino fundamental com baixo rendimento em matemática

Pós-graduação em Educação para a Ciência - FC

A Resolução de problemas no ensino de matemática

The Troubleshooting is a methodology that stands out in mathematics teaching, it provides a meaningful learning, favoring the intellectual development of the student and the autonomous and critical thinking. In this work an exploratory study on the use of Problem Solving as a teaching strategy. Along it is discussed the importance of problem solving, which is a problem and their differences for years, the types of problems, how to solve a problem and as a teacher should apply problem solving in the classroom choosing problems and exercises adequate and properly questioning the student

A Resolução de problemas no ensino de matemática

The Troubleshooting is a methodology that stands out in mathematics teaching, it provides a meaningful learning, favoring the intellectual development of the student and the autonomous and critical thinking. In this work an exploratory study on the use of Problem Solving as a teaching strategy. Along it is discussed the importance of problem solving, which is a problem and their differences for years, the types of problems, how to solve a problem and as a teacher should apply problem solving in the classroom choosing problems and exercises adequate and properly questioning the student

E-Learning praktisch erlebbar machen

Dieser Projektbericht beschreibt eine Lehrveranstaltung, die den Studierenden in der Theorie genau das vermittelte, was sie direkt in der Praxis erfahren konnten: E-Learning. Die enge Koppelung von Wissensvermittlung und praktischer Umsetzung setzte auf ein ungewöhnliches Modell der Lernzeitorganisation. Von den Lernenden wie vom Lehrenden verlangte das Blended-Learning-Seminar die Bereitschaft, das übliche Selbstverständnis in Lehr-Lern-Kontexten an Hochschulen zu überdenken. Dieser Bericht stellt die inhaltliche und strukturelle Ausgangssituation dar, beschreibt die Organisation der Veranstaltung sowie die eingesetzten Methoden und Mittel und reflektiert die Lernerfolge.

Modified Team-based Learning (TBL) as a tool in Problem-based learning (PBL); Observations and Lessons from Year One

Both TBL and PBL attempt to maximally engage the learner and both are designed to encourage interactive teaching / learning. PBL is student centered. TBL, in contrast, is typically instructor centered. The PBL Executive Committee of the UTHSC-Houston Medical School, in an attempt to capture the pedagogical advantages of PBL and of TBL, implemented a unique PBL experience into the ICE/PBL course during the final block of PBL instruction in year 2. PBL cases provided the content knowledge for focused learning. The subsequent, related TBL exercises fostered integration / critical thinking about each of these cases. [See PDF for complete abstract]

Collaborative Learning in Context: The Problem with Peer Tutoring

Describes the effects that institutionalization of peer tutoring is having on the teaching-learning relationship.

Metaphor and Genre: An Approach to improve the learning process of English for Aeronautics

This study suggests a theoretical framework for improving the teaching/ learning process of English employed in the Aeronautical discourse that brings together cognitive learning strategies, Genre Analysis and the Contemporary theory of Metaphor (Lakoff and Johnson 1980; Lakoff 1993). It maintains that cognitive strategies such as imagery, deduction, inference and grouping can be enhanced by means of metaphor and genre awareness in the context of content based approach to language learning. A list of image metaphors and conceptual metaphors which comes from the terminological database METACITEC is provided. The metaphorical terms from the area of Aeronautics have been taken from specialised dictionaries and have been categorised according to the conceptual metaphors they respond to, by establishing the source domains and the target domains, as well as the semantic networks found. This information makes reference to the internal mappings underlying the discourse of aeronautics reflected in five aviation accident case studies which are related to accident reports from the National Transportation Safety Board (NTSB) and provides an important source for designing language teaching tasks. La Lingüística Cognitiva y el Análisis del Género han contribuido a la mejora de la enseñanza de segundas lenguas y, en particular, al desarrollo de la competencia lingüística de los alumnos de inglés para fines específicos. Este trabajo pretende perfeccionar los procesos de enseñanza y el aprendizaje del lenguaje empleado en el discurso aeronáutico por medio de la práctica de estrategias cognitivas y prestando atención a la Teoría del análisis del género y a la Teoría contemporánea de la metáfora (Lakoff y Johnson 1980; Lakoff 1993). Con el propósito de crear recursos didácticos en los que se apliquen estrategias metafóricas, se ha elaborado un listado de metáforas de imagen y de metáforas conceptuales proveniente de la base de datos terminológica META-CITEC. Estos términos se han clasificado de acuerdo con las metáforas conceptuales y de imagen existentes en esta área de conocimiento. Para la enseñanza de este lenguaje de especialidad, se proponen las correspondencias y las proyecciones entre el dominio origen y el dominio meta que se han hallado en los informes de accidentes aéreos tomados de la Junta federal de la Seguridad en el Transporte (NTSB)

Desarrollo de aprendizajes activos en primeros cursos universitarios: Workshop cónica.

Como ya es conocido, los profesores de Matemáticas utilizamos los ejemplos como recursos de aprendizaje para enseñar algún contenido matemático concreto, de modo que las generalizaciones y abstracciones sean más fácilmente entendidas por los alumnos, pasando de lo concreto a lo abstracto, como otra forma de enseñar y practicar en Matemáticas. Esta metodología de trabajo se ve potenciada por el uso de dispositivos móviles llamados mobile-learning (m-learning) o educación móvil (educación-m), en español. Siguiendo esta línea de trabajo, se ha realizado el workshop de cónicas que se presenta en este artículo, empleando estas nuevas tecnologías (TIC) y con el objetivo de desarrollar aprendizajes activos en Geometría a través de la resolución de problemas en los primeros cursos de Grado en las ingenierías. ABSTRACT: As it is already known, math teachers, use examples as learning resources, to teach some specific math contents, so that generalizations and abstractions are more easily understood by students, from concrete to abstract, as another way of Mathematics teaching and training. This methodology is enhanced by the use of mobile devices, called mobile-learning (m-learning) o “educación móvil” (educación-m), in Spanish. Following this strategy, the workshop of conic sections shown in this paper has been carried out, using these new technologies (ICT) and in order to develop active learning in Geometry through problem-solving at the first years of engineering degrees.

Laboratorios virtuales y docencia de la automática en la formación tecnológica de base

Recientemente, ha surgido un interés por aprender a programar, debido a las oportunidades profesionales que da este tipo de estudios universitarios. Es fácil de entender porque el número de trabajos para programadores e ingenieros informáticos está creciendo rápidamente. Por otro lado, un amplio grupo de psicólogos opinan que el pensamiento computacional es una destreza fundamental para cualquiera, no sólo para los ingenieros informáticos. Para leer, escribir y realizar operaciones aritméticas, deberíamos utilizar el pensamiento computacional y por lo tanto, para desarrollar todas las habilidades analíticas de los niños. Es necesario cambiar los requerimientos de las destrezas necesarias para trabajar, los nuevos trabajadores necesitarán destrezas más sofisticadas en ciencias, matemáticas, ingeniería y tecnología. Consecuentemente, los contenidos sobre Tecnología de la Información tales como electrónica, programación, robótica y control se incrementan en la educación tecnológica en enseñanza secundaria. El desarrollo y utilización de los Laboratorios Virtuales de Control y Robótica ayuda a alcanzar este objetivo. Nos vamos a centrar en control y robótica porque un proyecto de control y robótica incluye contenidos de otras tecnologías tales como electrónica, programación, … Se ha implementado un sitio web con Laboratorios Virtuales de Control y Robótica. En este trabajo, se muestran seis grupos de laboratorios virtuales para la enseñanza del control y la robótica a niveles preuniversitarios. Estos laboratorios virtuales han sido usados para la docencia de alumnos de enseñanza secundaria. Las estadísticas del proceso de enseñanza-aprendizaje permiten validar ciertos aspectos de dicho trabajo. Se describen dichos laboratorios y la mejora del aprendizaje en cuanto a conocimientos procedimentales y conceptuales, así como la mejora de la interactividad respecto al aprendizaje con análogas aplicaciones con objetivos de aprendizaje idénticos, pero careciendo de la componente de laboratorio virtual. Se explican algunas de las experiencias realizadas con los alumnos. Los resultados sugieren, que dentro de la educación tecnológica de la educación secundaria, los laboratorios virtuales pueden ser explotados como un efectivo y motivacional entorno de aprendizaje. ABSTRACT Recently, there has been a surge of interest in learning to code, focusing especially on career opportunities. It is easy to understand why: the number of jobs for programmers and computer scientists is growing rapidly. On the other hand, the psychologists think that computational thinking is a fundamental skill for everyone, not just for computer scientists. To reading, writing, and arithmetic, we should add computational thinking to every child’s analytical ability. It is necessary to change workforce requirements mean that new workers will need ever more sophisticated skills in science, mathematics, engineering and technology. Consequently, the contents about Information Technology as well as electronics, coding, robotics and control increase in Technology Education in High School . The development and utilization of the Virtual Laboratories of Control and Robotics help to achieve this goal. We focus on control and robotics because a control and robotics project includes other technologies contents like electronics, coding,... A web site with Virtual Laboratories of Control and Robotics was implemented. In this work, six groups of virtual laboratories for teaching control and robotics in preuniversity level are shown. These Virtual Laboratories were used for teaching students at high school. The statistics of teaching-learning process allow to check some issues of this work. The laboratories, the improvement of learning (concepts and procedures) and interactivity are described and are compared to similar applications. They share identical learning objectives but they lack the virtual laboratory aspect. Some experiences with students are explained too. The results suggest that within high school technology education, virtual laboratories can be exploited as effective and motivational learning environments.