Núria Gorgorió

Núria Gorgorió
Autonomous University of Barcelona | UAB · Departament de Didàctica de la Matemàtica i les Ciències Experimentals

BSc Mathematics ; PhD Education

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119
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Publications

Publications (119)
Article
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Llamamos problemas de Fermi a aquellos problemas que, siendo de difícil resolución, admiten una aproximación a su solución a base de romper el problema en partes más pequeñas y resolverlas por separado. En este artículo presentamos los problemas de estimación de magnitudes no alcanzables (PEMNA) como un subconjunto de los problemas de Fermi. A part...
Article
Full-text available
Investigadors de la UAB han realitzat un projecte amb alumnat de 6è d'Educació Primària d'un centre escolar de Sabadell per estudiar, a partir de la modelització matemàtica, la seguretat viària en el camí de l'escola a casa. Els resultats els han permès definir els projectes de modelització matemàtica orientats a l'impacte social, que es poden apli...
Conference Paper
Full-text available
If we consider it important to prepare young people to become critical citizens, then we must begin by training teachers to cope with the complexity of databases in order to integrate them as resources for their future teaching. In the context of civic statistics, we carried out an activity structured around the basic cycle of learning from data wi...
Article
Full-text available
We consider the ability to complete an investigative cycle as an indicator of the robustness of students' statistical knowledge. From this standpoint, we analyzed the written reports of primary education student teachers when they developed an investigative cycle in a Chilean and a Spanish university. In their development of the stages of the cycle...
Article
Full-text available
Resumen El trabajo por proyectos tiene cada vez más protagonismo en la formación estadística de los futuros maestros. En nuestro estudio, propusimos a un grupo de estudiantes para maestro de primaria, en su primer año de formación, el desarrollo de un proyecto articulado alrededor de las fases del ciclo de investigación estadística. Nuestros datos...
Article
Creating and developing mathematical models to solve real-world problems is a complex task and students often have difficulties in tackling it successfully. The design and implementation of sequences that help students autonomously develop their ability to solve modelling tasks could be a useful scaffolding tool to foster modelling learning. In thi...
Conference Paper
Full-text available
Los futuros maestros de primaria aprendieron estadística de una forma distinta a la que tendrán que enseñarla. Por ello, les proponemos una actividad que requiere que planteen y respondan preguntas a partir de datos de EUROSTAT, analizándolos e interpretándolos, y que presenten sus conclusiones como una noticia breve. De esta forma, aprenden a cons...
Article
In this article, we present an educational proposal designed to work on spatial geometry and three-dimensional thinking with students in the last years of Primary Education. The proposal is comprised of several activities that combine the use of a classroom videogame and working with manipulative materials to create a representation of the videogam...
Article
Statistical data is used in the media and on online platforms, often with an interpretation that serves some commercial or political purpose. Primary preservice teachers must be able to understand statistical data and analyze it critically. Only in this way will they be able to contribute as future teachers to the development of a critical spirit i...
Article
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This perspective paper draws on the interest in ensuring that students who enter primary teacher training programs have a solid background knowledge of mathematics. We describe the access criteria and requirements for admission to the primary education degree programs at the Universidad de Alicante and Universitat Autònoma de Barcelona, in Spain, a...
Article
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This paper presents a case study carried out at an elementary school that led to a characterization of mathematical modeling projects aimed at generating social impact. It shows their potential as generators of mathematical learning opportunities. In the school project, upper-grade students (sixth grade, 11-year-olds) studied the way in which the r...
Article
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This paper presents a qualitative study developed with a group of 16-year-old students who were asked to estimate large numbers of elements on a bounded surface. Taking the realistic mathematics education framework as a reference, we presented the students with an activity sequence comprised of four different tasks-each one with a different realist...
Chapter
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El conocimiento matemático de los alumnos que acceden a un Grado de Maestro de Educación Primaria (GEP) debe ser lo bastante sólido como para que durante su forma-ción puedan construir un conocimiento de los contenidos matemáticos y de su didáctica suficiente para iniciarse en la profesión docente. En este capítulo presentamos evidencias empíricas...
Poster
Full-text available
Caracterización del Bagaje de Conocimiento Matemático (BMK) escolar correspondiente en estudiantes de Pedagogía en Educación Básica en Chile y de Grado de Educación Primaria en Cataluña, al inicio de su formación profesional.
Article
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Este artículo presenta el proceso de construcción de criterios para calificar exámenes de matemáticas con el propósito de reducir la variabilidad en las calificaciones otorgadas por distintos correctores. Desde la identificación de fenómenos no deseados en el proceso de corrección, se proporcionan directrices teóricas para generar criterios de cali...
Article
Full-text available
In this work we study the development of mathematical models by students in the upper cycle of Primary Education (10 and 11 years old) to Large Number Estimation Problems. After a qualitative analysis of their output, we found that, when students worked on problems in teams, they used strategies including the development of mathematical models such...
Article
Full-text available
La propuesta que se presenta en este artículo, dirigida a alumnado de primaria, se fundamenta en el uso de un videojuego que permite proponer actividades complementarias sobre geometría del espacio utilizando materiales manipulativos. Se introduce la resolución de problemas matemáticos utilizando las mecánicas de juego que proporciona el videojuego...
Article
Full-text available
Resumen Este artículo presenta la caracterización del conocimiento matemático y didáctico sobre el concepto de estimación de medida que poseen los docentes de primaria chilenos, a partir de la forma en la que proponen utilizar actividades diseñadas y orientadas para trabajar este concepto. Para el análisis utilizamos una definición del concepto de...
Article
Full-text available
In this paper, we present a qualitative study in which we analyse the video-recordings of four groups of students solving Fermi Problems. Previous studies show that Secondary School students solve this type of problems using complex problem solving processes and developing mathematical models. In order to analyse the students’ problem solving proce...
Article
Full-text available
We study how a group of 16-year-old students solve a sequence of problems that require estimating large quantities. The problem sequence was designed to foster students creating mathematical models. We characterise the models constructed by the students while working both individually and in small teams and analyse how they evolve throughout the se...
Chapter
This chapter reviews and reflects on the development of research presented at the CERME working group “Diversity and mathematics education”. The chapter is organized in four sections. The first presents a brief background and history of the emergence of the thematic group examining social, cultural and political aspects of diversity in uses, teachi...
Chapter
This chapter reports on the solutions of 22 groups of Year 10 students (15–16 years old) to a model-eliciting activity involving interpretation of data, namely, lists of salaries from five companies. Students were asked to see what could be ascertained about the structure of the company based on their mathematical or statistical analysis of the dat...
Chapter
Full-text available
In this chapter, we present a tool for analysing the work of secondary-level students from two different schools when they solve a type of Fermi problem. The tool is based on the characterisation of the concepts, procedures and language used to construct the models. Our results show that the proposed tool is useful to describe the models and to dis...
Article
Full-text available
En este artículo presentamos un estudio sobre algunos aspectos del conocimiento matemático para la enseñanza que poseen los maestros del concepto de estimación de medida. Estudiamos cómo los maestros definen y aplican este concepto que ha sido introducido recientemente en el currículo chileno y sobre el que los maestros no han recibido formación es...
Article
This article reports on the solutions of a group of 22 students, aged 15/16 years old, when facing a statistical modelling activity. They were given the salary lists of 5 companies and were asked what could be said about their salary structure; no hint was given. The results show that students not only used a wide range of data concepts and procedu...
Article
Full-text available
In this paper we study activities proposed by a Elementary Education (6 to 12 years old) math textbook, this textbook belongs to one of the most used publishers in Spain. We conducted a qualitative analysis of measurement activities proposed by the textbook. The analysis is based on a hierarchy of mathematical tasks that allow us to characterize th...
Conference Paper
Full-text available
In this paper, we elaborate on the notion of Fundamental Mathematical Knowledge (FMK) which we understand as the minimum mathematical content knowledge essential to enter a degree in primary teacher education. We propose that FMK can be assessed in terms of competency in different areas of primary mathematics. The aim of this paper is to present ou...
Article
Full-text available
En este trabajo presentamos un estudio en el que analizamos las producciones escritas de estudiantes de 16 años con diferentes niveles de experiencia en modelización al resolver Problemas de Estimación de Grandes Cantidades (PEGC). Estos problemas son un tipo concreto de los Problemas de Fermi y permiten introducir los procesos de modelización en l...
Conference Paper
Full-text available
We understand Fundamental Mathematical Knowledge (FMK) as the initial mathematical background we expect students to have at the start of their education to become Primary School teachers. In this paper, we focus on the answers given by 241 first-year student teachers to two non-routine questions that were part of an entrance examination. Non-routin...
Article
Full-text available
En este artículo presentamos una revisión de las investigaciones realizadas en el ámbito de la Educación Matemática sobre el uso de videojuegos en las aulas. Hemos identificado cuatro aspectos que han centrado estas investigaciones: el impacto sobre el rendimiento académico en matemáticas, el aprendizaje de contenidos matemáticos concretos, los ele...
Conference Paper
Full-text available
Video games are promising tools in educational environments since they have features that can promote learning in a playful environment. Formerly, we identified mathematics learning opportunities in a real time strategy video game. Going further, in order to precisely understand which information the students use to solve the challenges provided by...
Article
Full-text available
Video games are promising tools in educational environments since they have features that can promote learning in a playful environment. Formerly, we identi�fied mathematics learning opportunities in a real time strategy video game. Going further, in order to precisely understand which information the students use to solve the challenges provided b...
Article
Full-text available
La investigación en relación al conocimiento conceptual y al conocimiento procedimental en matemáticas ha sido tema de interés y foco de debate a lo largo de los años. En la literatura se encuentran discusiones que abordan desde qué debe desarrollarse en mayor medida en la escuela, si las habilidades o los procedimientos; hasta propuestas acerca de...
Conference Paper
Full-text available
Our attention is focused on the mathematical knowledge of students enrolling for Primary Teaching Degrees in Catalan universities. We present the preliminary steps of a study 1 which aims at developing a mathematics test that should be included in the official entrance examination for applicants to the teaching degree starting September 2017. After...
Conference Paper
Full-text available
Resumen En la siguiente comunicación se muestra el análisis de los temas del bloque de medida propuestos por una editorial de libros de texto de matemáticas en la etapa de educación primaria. Para ello, hemos realizado un estudio de casos con una de las editoriales más ampliamente utilizadas en Cataluña. El análisis está basado en la jerarquización...
Conference Paper
Full-text available
In this contribution we present a study about how 27 in-service primary school teachers do a pedagogical value of an activity about measurement estimation of volume for kids (9 years old) proposed in Chileans governmental curricular orientations. In this paper, we analysis developed in our study is supported by a reconstruction of the concept of me...
Conference Paper
Full-text available
Our main object of research is the mathematical knowledge of students who enrol at University to begin their degree in Primary School Teaching. By Basic Mathematical Knowledge (BMK) we understand the initial mathematical background we desire students to have at the start of their education to become Primary School teachers. In this paper we present...
Conference Paper
Full-text available
En aquesta comunicació, presentem l'examen de competència logicomatemàtica de la Prova d'Aptitud Personal per a l'accés als graus de mestre a partir del curs 2017-18, establim el significat de Coneixement Matemàtic Fonamental, i presentem el procés de validació d'una prova per a avaluar-lo. Els resultats del procés de validació ens permeten identif...
Article
Full-text available
A qualitative research study is presented herein with the purpose of identifying mathematics learning opportunities in a commercial version of a Tower Defense game. These learning opportunities are understood as mathematicisable moments of the game and involve the establishment of relationships between the game and mathematical problem solving. Bas...
Conference Paper
Full-text available
En este trabajo presentamos una herramienta de caracterización de los modelos matemáticos que producen los alumnos de Educación Secundaria. En concreto, utilizamos esta herramienta para analizar las producciones de los estudiantes de 16 años de dos centros diferentes al resolver Problemas de Estimación de Grandes cantidades, que son un tipo de prob...
Conference Paper
Full-text available
Presentamos un estudio con futuros maestros sobre su conocimiento conceptual del sistema de numeración decimal (SND) y valor posicional (VP). En primer lugar, establecemos el conocimiento conceptual del SND y de la noción de VP como Conocimiento Matemático Fundamental (CMF) para iniciar la didáctica de la adición y la substracción. A continuación,...
Article
Full-text available
En este artículo estudiamos la presencia de procesos de modelización matemática en las resoluciones de Problemas de estimación de grandes cantidades de alumnos de Educación Primaria. Observamos que los alumnos resuelven los problemas utilizando diferentes estrategias que incluyen modelos matemáticos como la regla del producto, la iteración de un pu...
Conference Paper
Full-text available
Resumen En esta comunicación presentamos un refinamiento de los criterios redactados a partir de la aportación teórica de Gairín, Muñoz y Oller (2012) teniendo en cuenta los fenómenos detectados por Mengual, Gorgorió y Albarracín (2013) para la calificación de exámenes de matemáticas. El análisis de las calificaciones dadas por los correctores de n...
Conference Paper
Full-text available
El objetivo de la secuencia de formación que presentamos es conseguir que los estudiantes para maestro de Educación Primaria descubran que plantear problemas aritméticos aditivos de enunciado verbal con una operación, va más allá de enunciar situaciones que contengan los verbos "añadir" o "juntar" para la suma, o "separar" para la resta. Queremos q...
Conference Paper
Full-text available
En este estudio analizamos: (a) la percepción que tienen 128 futuros maestros del Grado de Educación Primaria sobre las palabras clave en los problemas aditivos de enunciado verbal, y (b) el uso que hacen de las palabras clave en este tipo de problemas. Constatamos que, mayoritariamente proponen enunciados construidos a partir de palabras clave y r...
Conference Paper
Full-text available
Our main object of research is the mathematical knowledge of students who enroll at University to begin their degree in Primary School Teaching. By Basic Mathematical Knowledge we understand the initial background we desire students to have at the start of their education as Primary School teachers, i.e. the knowledge base on which we hope them to...
Conference Paper
Full-text available
The following study discloses how textbooks may potentially become obstacles in the treatment of certain topics in the field of measure, as presented in the educational curriculum. A qualitative methodology is employed herein to describe the content of textbook activities. In addition, the frequency with which the latter appear throughout the chapt...
Article
Full-text available
Our main object of research is the mathematical knowledge of students who enroll at University to begin their degree in Primary School Teaching. By Basic Mathematical Knowledge we understand the initial background we desire students to have at the start of their education as Primary School teachers, i.e. the knowledge base on which we hope them to...
Article
Full-text available
The following study discloses how textbooks may potentially become obstacles in the treatment of certain topics in the field of measure, as presented in the educational curriculum. A qualitative methodology is employed herein to describe the content of textbook activities. In addition, the frequency with which the latter appear throughout the chapt...
Article
Fermi problems are problems which, due to their difficulty, can be satisfactorily solved by being broken down into smaller pieces that are solved separately. In this article, we present different sequences of activities involving Fermi problems that can be carried out in Secondary School classes. The aim of these activities is to discuss problem-so...
Conference Paper
Full-text available
Estimation appears as a relevant aspect to the new Curricular Guidelines of year 2012 of the Chilean Ministry of Education. In this paper, we analyze the mathematical knowledge for teaching of 112 Chilean teachers of Primary Education to deal with a classroom activity of discreet measurement estimation proposed in governmental curricular orientatio...
Article
Full-text available
Fermi problems are open, non-standard problems that require the students to make assumptions about the problem situation and to estimate relevant quantities before engaging in, often, simple calculations (Ärlebäck The Montana Mathematics Enthusiast, 6(3):331–364, 2009). Our study focuses on the plans—schemes aimed at solving—devised by students age...
Article
Full-text available
En este artículo presentamos una experiencia de clase en secundaria sobre problemas de estimación de magnitudes no alcanzables. Definimos este tipo de problemas y describimos lo vivido en el aula durante su resolución, así como los métodos y resultados generados por los alumnos.