Pedro Palhares

Pedro Palhares
University of Minho · Centro de Investigação em Estudos da Criança

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34
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Introduction

Publications

Publications (34)
Article
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A Metodologia de Ensino-Aprendizagem-Avaliação de Matemática através da Resolução de Problemas é uma estratégia didática em que o estudante assume um papel mais ativo e comprometido com a sua aprendizagem e, o professor, de mediador dos processos de ensino e de aprendizagem. No Brasil, o Grupo de Trabalhos e Estudo em Resolução de Problemas (GTERP)...
Article
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The investigation in ethnomathematics we are developing aims to analyse the mathematical structure inherent in various elements that constitute folk dances of Northern Portugal and Galicia, which is an autonomous community of Spain, specifically choreography, music and accessories. Focusing on choreography, we intend to represent and describe the m...
Article
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In this article we examine 4th and 5th grade Portuguese students’ performance on problems of structuring 2D rectangular arrays of squares, which was analyzed and categorized into the five levels of sophistication described by Battista, Clements, Arnoff, Battista, and Borrow (1998). In general, the results suggest that students in the higher grade e...
Article
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Este trabalho é o recorte de uma pesquisa de doutoramento que visou inserir a metodologia de ensino-aprendizagem-avaliação de Resolução de Problemas para ensinar os conteúdos de Cálculo Diferencial e Integral. Este texto tem por objetivo apresentar uma sequência didática preparada para abordar o conteúdo de análise da variação de funções reais de u...
Article
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Com a introdução da Estatística nos primeiros anos escolares importa desenvolver a formação dos professores que ensinam esse tema no 1.º e/ou 2.º ciclo do ensino básico. No presente estudo analisaram-se gráficos produzidos por futuros professores dos primeiros anos no âmbito da realização de projetos de natureza investigativa. Dessa análise, salien...
Article
Full-text available
Um conteúdo que gera debates entre professores e pesquisadores de Cálculo Diferencial e Integral (CDI) é a definição de continuidade de uma função real de variável real. Nesse sentido, este texto apresenta e discute a diferença entre duas definições de continuidade que aparentemente pode ser sutil, porém veremos que não é. Também apresentamos essa...
Chapter
Ethnomathematics as a program studies the cultural aspects of mathematics. It acknowledges that there are different ways of doing mathematics by considering the appropriation of academic mathematical knowledge developed by different sectors of the society as well as by considering different modes in which different cultures negotiate their mathemat...
Article
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Recentemente, o estudo das Probabilidades, conjuntamente com a Estatística, tem sido aprofundado nos programas escolares de Matemática de muitos países, dando-se início ao seu estudo logo nos primeiros anos de escolaridade. Motivado por essa tendência, no presente artigo apresentam-se e discutem-se vários jogos tendo em vista a aprendizagem de conc...
Chapter
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Kay Owens (Charles Stuart University, Dubbo, NSW, Australia) presented a paper illustrating how schools can change when funds are available to assist schools and communities to implement appropriate and effective professional development, to establish partnerships between school and community, to revise teaching approaches and curriculum, to overco...
Article
Games have been triggering researcher's interest to verify whether their practice brings benefits to the development of abilities. This interest emerges, probably, from the motivating characteristics of playing in general and from the fact that certain types of games involve cognitive skills during practice. These characteristics took them to be co...
Chapter
In the last few years, the authors have been carrying out a study involving elementary school students from 3rd to 6th years of schooling. The main goal of this study is to identify the possible relationships between the ability to identify patterns and the ability to play games, in particular mathematical games. The research methodology is quantit...
Article
Games have been triggering researcher’s interest to verify whether their practice brings benefits to the development of abilities. This interest emerges, probably, from the motivating characteristics of playing in general and from the fact that certain types of games involve cognitive skills during practice. These characteristics took them to be co...
Article
Full-text available
Esta comunicación presenta los avances de una investigación5 cuya primera parte tiene como objetivo analizar las convergencias y tensiones de los maestros a la hora de reconocer como matemáticas saberes extraescolares o rechazarlos. El material empírico procede de un programa de formación de maestros en ejercicio en Etnomatemática realizado en Tuma...
Conference Paper
Full-text available
This paper is about the selection, construction and application of a sequence of tasks involving patterns, in order to promote algebraic thinking, in two classes, in the period starting in the last trimester of the 3 rd year and the first trimester of the 4 th year of schooling. Each sequence was composed by twelve tasks (six structural and six seq...
Article
In the last few years, the authors have been carrying out a study involving elementary school students from 3rd to 6th years of schooling. The main goal of this study is to identify the possible relationships between the ability to identify patterns and the ability to play games, in particular mathematical games. The research methodology is quantit...
Article
Full-text available
This paper gives a description of an ongoing study focused on pattern exploration and generalization tasks, analysing the performance of fifty-four 6th grade students when solving this type of tasks. The main goal is to understand the strategies they use, difficulties that emerge from students' work and ascertain the role played by visualization in...
Article
Full-text available
In this article we analyze Ethnomathematics research in Portugal in the recent past and the way it has been used in Education. We divide our reflection in three main parts. One is about people’s discourse and actions and how to use them to uncover mathematical thinking. The second is about artifacts and how to use them to uncover mathematical think...
Chapter
Executive SummaryLOGO is an international reference in the area of educational software. This software was invented by Seymour Papert back in the 1960s, and soon established itself as the emblem of a new perspective for the use of technology in education. Some experiments with LOGO have been carried out in the last quarter of the twentieth century...
Article
Full-text available
As “histórias com problemas” são uma estratégia de ensino que visa, através de uma abordagem interdisciplinar, ligar a Língua Portuguesa à Matemática. Este artigo analisa parte de um estudo realizado no âmbito de uma investigação de mestrado numa turma do 3.º ano do 1.º Ciclo do Ensino Básico, em Portugal, no ano lectivo de 2002/03. Pretendeu-se, a...
Chapter
A new inservice mathematical training programme was launched by the Ministry of Education in Portugal. It has been developed and implemented in each district by different educational institutions. In the district of Braga, the programme is being developed and implemented by our institution, Institute of Child Studies, University of Minho, with dire...
Chapter
Full-text available
Exploring generalization with visual patterns: tasks developed with pre-algebra students
Article
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Resumo: Um estudo realizado junto de alunos do 3.o ao 6.o ano de escolaridade permitiu verificar a existencia de relacao entre a forca do jogador de xadrez e a capacidade de resolver problemas com padroes. Este resultado suscitou a curiosidade de verificar se essa relacao se estenderia a outros jogos, como por exemplo os jogos matematicos. Neste ar...
Article
Full-text available
In this paper we present the context and results from a study, with 3rd to 6th grades children, about the relationship between chess and problem solving involving geometric and numeric patterns. The main result of this study is the existence of a relation between strength of play and patterns involving problem solving. We have included in the begin...
Conference Paper
Full-text available
Este documento descreve um estudo ainda em curso centrado na resolução de problemas que envolvem a exploração de padrões. Pretende-se avaliar a forma como as estratégias visuais podem ser usadas para enriquecer as experiências de generalização dos alunos. O principal objectivo é a análise das estratégias e dificuldades apresentadas por alunos do 6º...
Chapter
Full-text available
A integração, no processo ensino/aprendizagem, de uma grande variedade de estratégias de resolução de problemas de proporcionalidade – conceito com inúmeras aplicações, quer no dia-a-dia quer no prosseguimento académico – inclusive as menos ortodoxas, poderá contribuir para a construção/solidificação de um melhor conhecimento conceptual. Para que t...
Article
The mathematician Charles Lutwidge Dodgson, well known by the pseudonym of Lewis Carroll, besides being the famous author of “Alice’s adventures in wonderland” he was also the inventor of a variety of games and puzzles. Lewis Carroll liked to play with words and one of his inventions was a word-puzzle that he named Syzygies. As part of a research i...