886 resultados para Mathematics teaching-learning


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Thesis (Ph.D.)--University of Washington, 2016-08

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This article describes the design and implementation of computer-aided tool called Relational Algebra Translator (RAT) in data base courses, for the teaching of relational algebra. There was a problem when introducing the relational algebra topic in the course EIF 211 Design and Implementation of Databases, which belongs to the career of Engineering in Information Systems of the National University of Costa Rica, because students attending this course were lacking profound mathematical knowledge, which led to a learning problem, being this an important subject to understand what the data bases search and request do RAT comes along to enhance the teaching-learning process.It introduces the architectural and design principles required for its implementation, such as: the language symbol table, the gramatical rules and the basic algorithms that RAT uses to translate from relational algebra to SQL language. This tool has been used for one periods and has demonstrated to be effective in the learning-teaching process.  This urged investigators to publish it in the web site: www.slinfo.una.ac.cr in order for this tool to be used in other university courses.

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El estudio tuvo como propósito determinar la efectividad relativa del ABP, comparado con el método tradicional para desarrollar habilidades de resolución de problemas en el aprendizaje de las aplicaciones de la solución de triángulos en el grado 10º de la Institución Educativa El Progreso, de El Carmen de Viboral, Antioquia. La enseñanza-aprendizaje de las matemáticas sustentadas con la estrategia didáctica Aprendizaje Basado en Problemas permite a los estudiantes y docentes aproximarse al conocimiento de una manera similar a como lo hacen los científicos; el primer paso es una situación de duda, perplejidad del estudiante provocada por la Situación Problema planteada por el docente, el segundo un momento de “sugerencias” en las que la mente salta hacia adelante en busca de una posible solución (Dewey, 1933, p. 102). El tercer paso “intelectualización” de la dificultad que se ha percibido para convertirlo en un problema que debe solucionarse (Dewey, 1933, p. 103). La cuarta es “la idea conductora o hipótesis”, las cuales se basan en la formulación de explicaciones sugeridas o soluciones posibles (Dewey, 1933, p. 104). El quinto paso sería el “razonamiento”, consiste en la elaboración racional de una idea que se va desarrollando de acuerdo a las habilidades de cada persona (Dewey, 1933, p. 105). El paso final es la “comprobación de hipótesis” en situaciones reales. Este proceso se evidenció a través de cuatro Situaciones-Problema enfocadas desde un contexto auténtico “la remodelación del parque principal de El Carmen de Viboral” con el objetivo de motivar a los estudiantes para el aprendizaje de algunos conceptos matemáticos y el desarrollo de habilidades de resolución de problemas. La metodología de la investigación fue un diseño cuasi-experimental con grupo experimental compuesto por 38 estudiantes del grado 10º2 y grupo control con 37 estudiantes del grado 10º1. Se empleó como técnica de recolección de la información una prueba pre-test antes del tratamiento y una prueba post-test que se aplicó después del tratamiento a ambos grupos; se aplicó también una escala de satisfacción de los estudiantes con la metodología tradicional en ambos grupos y una escala de satisfacción con la estrategia didáctica ABP sólo al grupo experimental; la observación directa, y el portafolio que evidenciaba todas las construcciones de los estudiantes. La aplicación de la estrategia didáctica experimental se aplicó durante 4 meses, con una intensidad horaria de cuatro horas semanales, tiempo durante el cual se implementaron las cuatro Situaciones-Problema. Se concluyó entre otros aspectos que el 86,5% de los estudiantes encuentran las clases de matemáticas como interesantes, contextualizadas, aplicables y significativas, mientras que antes del tratamiento sólo el 44,4% se encontraba satisfecho con las clases de matemáticas, con una diferencia en cambio de actitud de 42,1% frente a las clases de matemáticas con la metodología tradicional. En el análisis comparativo de adquisición de competencias específicas se demuestra que el grupo experimental demostró ser matemáticamente más competente con respecto al grupo control en todas las competencias evaluadas: capacidad de modelación, inductiva, comunicativa y habilidad procedimental. Además, el proyecto de investigación tuvo un valor agregado: 10 estudiantes tuvieron la oportunidad de conocer más sobre su cultura ceramista mediante el diseño y construcción de mosaicos que los ofreció la casa de la cultura en forma gratuita.

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Background: Learning styles are cognitive, emotional, and physiological traits, as well as indicators of how learners perceive, interact, and respond to their learning environments. According to Honey-Mumford, learning styles are classified as active, reflexive, theoretical, and pragmatic. Objective: The purpose of this study was to identify the predominant learning styles among pharmacy students at the Federal University of Paraná, Brazil. Methods: An observational, cross-sectional, and descriptive study was conducted using the Honey-Alonso Learning Style Questionnaire. Students in the Bachelor of Pharmacy program were invited to participate in this study. The questionnaire comprised 80 randomized questions, 20 for each of the four learning styles. The maximum possible score was 20 points for each learning style, and cumulative scores indicated the predominant learning styles among the participants. Honey-Mumford (1986) proposed five preference levels for each style (very low, low, moderate, high, and very high), called a general interpretation scale, to avoid student identification with one learning style and ignoring the characteristics of the other styles. Statistical analysis was performed using the Statistical Package for the Social Sciences (SPSS) version 20.0. Results: This study included 297 students (70% of all pharmacy students at the time) with a median age of 21 years old. Women comprised 77.1% of participants. The predominant style among pharmacy students at the Federal University of Paraná was the pragmatist, with a median of 14 (high preference). The pragmatist style prevails in people who are able to discover techniques related to their daily learning because such people are curious to discover new strategies and attempt to verify whether the strategies are efficient and valid. Because these people are direct and objective in their actions, pragmatists prefer to focus on practical issues that are validated and on problem situations. There was no statistically significant difference between genders with regard to learning styles. Conclusion: The pragmatist style is the prevailing style among pharmacy students at the Federal University of Paraná. Although students may have a learning preference that preference is not the only manner in which students can learn, neither their preference is the only manner in which students can be taught. Awareness of students’ learning styles can be used to adapt the methodology used by teachers to render the teaching-learning process effective and long lasting. The content taught to students should be presented in different manners because varying teaching methods can develop learning skills in students.

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This essay presents a proposal on methodology over the mathematical object Exponential Function which enables the development of interpretative and creative skills with potential meaning to the students starting from a didactic sequence structured on the light of The Theory of Didactic Situations from Guy Brousseau and, from the Records of Semiotic Representation of Duval, providing interactions among the students, the teacher and the environment of cooperative learning where the students feel free to express their own ideas as well as to suggest their own approaches. The methodology presented has been developed according to the students first knowledge, valuing their different ways of registering, which have such an important role during the teaching and learning processes. The proposal has been applied to the students from the first year of high school of Colégio Estadual José de Anchieta Ensino Fundamental e Médio, located in a town called Dois Vizinhos –Paraná. In order to the development of the research the methodological tool Didactic Engineering Artigue which consists in a methodology developed only to the research with didactic situations. The main goal has been reached at first, which was to work on the conceptual part of the Exponential Function, the relation of dependence and its main characteristic so that the variable part is in the exponent. Moreover with no imposition but starting from suitable didactic situations, the students were able to realize that they could solve the problems which involve the exponential function and furthermore create new problems (according to their universe) modeled by this kind of function. Its believed that the methodology based on the theory of didactic situations, analysis of students registers, observation on mistakes and obstacles as well as reflections over the aspects of the didactic contract are of fundamental importance to the teaching practice and determinant during the teaching-learning process.

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Relatório de estágio apresentado para a obtenção do grau de mestre em Ensino do 1.º e do 2.º Ciclos do Ensino Básico

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Dissertação apresentada para a obtenção do grau de Mestre em Ciências da Educação na área de Supervisão e Orientação Pedagógica

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Relatório de estágio apresentado para a obtenção do grau de mestre em Ensino do 1.º e do 2.º Ciclos do Ensino Básico

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Dissertação apresentada para a obtenção do grau de Mestre em Ciências da Educação na área de Supervisão e Orientação Pedagógica

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The objective of this study is to analyze the validity of working with proofs in the classroom and to present a partial list of proofs of mathematical formulae of the Brazilian secondary/high school curriculum. The adaptation of the proofs into the knowledge and abilities of a secondary school student should also be considered. How the teaching of proofs is treated in official publications in Brazil and other countries is also described. Working with proofs provides a number of benefits to the students, including: the development of logical reasoning, argumentative capacity, analytical skills on a daily basis, as well as motivation and a better understanding of mathematics as a science. The convenience of including the teaching of proofs in Brazilian secondary school curriculum and the need of a balance between the abstraction of proofs and contextualization of the school programmes is discussed. The approach of the proof teaching in the classroom can become a motivating factor or, conversely, a discouraging one. The conclusion is that it would be very useful to create a reference list covering the mathematical expressions of school programmes with their respective proofs that can be understood by secondary school students.

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Las estrategias metodológicas utilizadas en este trabajo tratan de mejorar el rendimiento y conocimiento del bloque curricular Álgebra y Geometría en los estudiantes del primero de bachillerato del Colegio Nacional Mixto “San Joaquín”. Las estrategias metodológicas planificadas para el bloque curricular Álgebra y Geometría fueron aplicadas en su totalidad, pero hubieron inconvenientes que se fueron solucionando en el proceso de la enseñanza – aprendizaje del bloque como: la utilización del laboratorio de computación, las diferentes actividades extra curriculares y las políticas de la institución. Las actividades lúdicas elaboradas en este bloque curricular,son las que más disfrutaron los estudiantes, por ser diferentes a las actividades tradicionales que se realiza en la enseñanza de la Matemática, otra actividad que causo novedad, es la aplicación de las TIC, como es el caso de la utilización del software GeoGebra y Modellus que permiten resolver ejercicios y problemas mediante gráficas y animaciones, otra herramienta de aprendizaje didáctico es la aplicación del internet como medio de consulta para reforzar significativamente los conocimientos. Los resultados de las evaluaciones aplicadas a los estudiantes de los primeros de bachillerato de esta institución, demuestran que las estrategias metodológicas utilizadas, lograron mejorar el rendimiento y conocimientos del bloque Álgebra y Geometría.

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Dissertação (mestrado)—Universidade de Brasília, Faculdade de Educação, Programa de Pós-Graduação em Educação, 2015.

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A investigação em didáctica das ciências tem mostrado que a generalidade dos alunos manifesta cada vez menos interesse para aprender ciências. No entanto, o incremento da importância de temas científicos no nosso dia-a-dia, exige dos indivíduos um conhecimento científico cada vez mais aprofundado. O estudo da Astronomia permite abordar e interligar os conteúdos de tisica mais facilmente, tomando possível a aproximação do conhecimento científico ao conhecimento do quotidiano, mostrando a estreita ligação entre a Física, a Sociedade e a Tecnologia. O processo de ensino-aprendizagem encontra-se em mudança devido à integração das T.I.C. Através da internet e tirando partido da multimédia é possível desenvolver uma formação científica adequada que contribua para o despertar da curiosidade e do interesse dos alunos pela Ciência. Tendo em conta os pressupostos anteriores pretende-se, com este estudo, desenvolver uma plataforma de e-learning e recursos multimédia que satisfaçam estes requisitos. ABSTRACT; The investigation in didactics of sciences has been showing that the generality of students show less and less interest to learn sciences. However, the increment of the importance of scientific themes in our day-to-day life, demands from the individuals an increasingly deeper scientific knowledge. The study of Astronomy allows to approach and to interconnect physics subjects more easily, making possible the approach of scientific knowledge to the knowledge of everyday life, showing the narrow connection among Physics, Society and Technology. The teaching-learning process is in change duet the integration of the I.C.T. Through the internet and taking advantage of multimedia it is possible to develop an appropriate scientific formation that contributes to the awakening of curiosity and of the student's interest for Science. Having in mind the previous presuppositions is intended, with this study, to develop an e-learning platform and multimedia resources that satisfy these requirements.

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Dissertação (mestrado)—Universidade de Brasília, Instituto de Ciências Exatas, Departamento de Matemática, 2015.