EDUMAT: Fòrum sobre Educació Matemàtica. Una eina electrònica al servei de la comunitat de professionals de l'Educació Matemàtica.

EDUMAT va sorgir d'una iniciativa personal, en el marc del Departament de Didàctica de les Ciències Experimentals i de les Matemàtiques de la Universitat de Barcelona, el mes de novembre de 1998. No es tracta d'una iniciativa pionera. Dues llistes modèliques van precedir EDUMAT: l'una a la Universitat de Barcelona, que funciona des del 1995, el Fòrum sobre la Docència Universitària, coordinat per la professora Begoña Gros, que va ser presentat a Temps d'Educació, nº 16. 1, en l'àmbit de l'educació matemàtica, també des del 1995, funciona un altre fòrum internacional de debat coordinat per Peter Gates, de la Universitat de Nottingham, a Anglaterra. I les llistes de distribució a Internet es compten per milers.

Argumentos para los futuros maestros en torno al conocimiento matemático

Departing from initial training on Mathematics teaching, this article analyses several beliefs held by future teachers regarding mathematical knowledge. Some of these beliefs are an authentic obstacle for an advance towards quality Mathematics teaching, therefor, the autors reproduce five arguments given to groups of future teachers in order to tackle some of their beliefs on Mathematics and making them build, modify or consolidate a more complex imatge of mathematical knowledge and Mathematics work in the classroom

The effects of ICT on school: teachers’ and students’ perspectives

The purpose of this study was to investigate the effects of information and communication technology (ICT) on school from teachers’ and students’ perspectives. The focus was on three main subject matters: on ICT use and competence, on teacher and school community, and on learning environment and teaching practices. The study is closely connected to the national educational policy which has aimed strongly at supporting the implementation of ICT in pedagogical practices at all institutional levels. The phenomena were investigated using a mixed methods approach. The qualitative data from three cases studies and the quantitative data from three statistical studies were combined. In this study, mixed methods were used to investigate the complex phenomena from various stakeholders’ points of view, and to support validation by combining different perspectives in order to give a fuller and more complete picture of the phenomena. The data were used in a complementary manner. The results indicate that the technical resources for using ICT both at school and at homes are very good. In general, students are capable and motivated users of new technology; these skills and attitudes are mainly based on home resources and leisuretime use. Students have the skills to use new kinds of applications and new forms of technology, and their ICT skills are wide, although not necessarily adequate; the working habits might be ineffective and even wrong. Some students have a special kind of ICT-related adaptive expertise which develops in a beneficial interaction between school guidance and challenges, and individual interest and activity. Teachers’ skills are more heterogeneous. The large majority of teachers have sufficient skills for everyday and routine working practices, but many of them still have difficulties in finding a meaningful pedagogical use for technology. The intensive case study indicated that for the majority of teachers the intensive ICT projects offer a possibility for learning new skills and competences intertwined in the work, often also supported by external experts and a collaborative teacher community; a possibility that “ordinary” teachers usually do not have. Further, teachers’ good ICT competence help them to adopt new pedagogical practices and integrate ICT in a meaningful way. The genders differ in their use of and skills in ICT: males show better skills especially in purely technical issues also in schools and classrooms, whereas female students and younger female teachers use ICT in their ordinary practices quite naturally. With time, the technology has become less technical and its communication and creation affordances have become stronger, easier to use, more popular and motivating, all of which has increased female interest in the technology. There is a generation gap in ICT use and competence between teachers and students. This is apparent especially in the ICT-related pedagogical practices in the majority of schools. The new digital affordances not only replace some previous practices; the new functionalities change many of our existing conceptions, values, attitudes and practices. The very different conceptions that generations have about technology leads, in the worst case, to a digital gap in education; the technology used in school is boring and ineffective compared to the ICT use outside school, and it does not provide the competence needed for using advanced technology in learning. The results indicate that in schools which have special ICT projects (“ICT pilot schools”) for improving pedagogy, these have led to true changes in teaching practices. Many teachers adopted student-centred and collaborative, inquiry-oriented teaching practices as well as practices that supported students' authentic activities, independent work, knowledge building, and students' responsibility. This is, indeed, strongly dependent on the ICT-related pedagogical competence of the teacher. However, the daily practices of some teachers still reflected a rather traditional teacher-centred approach. As a matter of fact, very few teachers ever represented solely, e.g. the knowledge building approach; teachers used various approaches or mixed them, based on the situation, teaching and learning goals, and on their pedagogical and technical competence. In general, changes towards pedagogical improvements even in wellorganised developmental projects are slow. As a result, there are two kinds of ICT stories: successful “ICT pilot schools” with pedagogical innovations related to ICT and with school community level agreement about the visions and aims, and “ordinary schools”, which have no particular interest in or external support for using ICT for improvement, and in which ICT is used in a more routine way, and as a tool for individual teachers, not for the school community.

Práctica educativa y adquisición de la lengua de la escuela

El trabajo que presentamos pretende establecer e implamentar criterios respecto la organización escolar y la práctica educativa para mejorar las competencias básicas del alumnado extranjero que participa en las aulas de Cataluña con una gran diversidad respecto el conocimiento de la lengua de la escuela. En concreto, buscamos profundizar y localizar los factores y elementos relevantes para la organización escolar y la práctica educativa en escuelas plurilingües con estas características

El Pretérito perfecto compuesto y su contraste con el pretérito perfecto simple en las variedades del español

En este trabajo se pretende, por una parte, identificar los usos del pretérito perfecto compuesto y su contraste para las distintas variedades del español y, por otra parte, comparar las conclusiones a las que se llegue al respecto, con dos métodos y una gramática pensados específicamente para la enseñanza de español como lengua extranjera

Los Sufijos apreciativos en la enseñanza de ELE

El principal objetivo de este trabajo es realizar una pequeña aportación a la enseñanza/aprendizaje del español como lengua extranjera. La finalidad es que pueda servir tanto a profesores como a alumnos, ofreciendo una exposición de la sufijación apreciativa no solo como un aspecto más dentro de la gramática, sino concediendo al alumno una serie de estrategias que le ayuden a favorecer un aprendizaje reflexivo de la gramática y, en particular, de la formación de palabras. Todo esto unido siempre a aspectos socioculturales, pragmáticos, e incluso relacionados con el elemento intercultural

Els Gèneres de la narrativa oral en prosa: material didàctic d’aula ordinària d’ESO amb presència d’alumat que té el català com a segona llengua

En aquest treball proposem crear materials didàctics per a l’alumnat de les aules de secundària que en molts casos és heterogeni i inclou estudiants que surten de l’aula d’acollida amb un coneixement del català informal i que tenen dificultats per a incorporar-se al ritme habitual de l’aula ordinària

El Uso del cine en el aula de ELE

En los últimos años existe un interés creciente en la incorporación de material audiovisual en las aulas de ELE gracias, en mayor medida, al avance de las nuevas tecnologías que facilitan su uso. Sin embargo, todavía no se saca todo su potencial como material para trabajar las destrezas interculturales que contempla el actual MECD. En el siguiente ensayo apuntaremos algunas de esas razones, sobre el cine en general y el español en particular, y las diferentes aproximaciones que pueden contemplarse según las características del alumnado

Los Pronombres átonos (le, la, lo), sus variaciones dialectales y su tratamiento en la clase de ELE

En este trabajo he abordado la enseñanza de los pronombres átonos le, la, lo / les, las, los y sus variantes dialectales en el contexto de la enseñanza de español como lengua extranjera. Las variaciones en el uso de los pronombres, ya no solo en la Península, sino en el resto de países hispanohablantes, son bastante numerosas y es una de las mayores dificultades que presenta el español

L'Ús del mètode verbotonal per a la correcció fonètica: estudi de cas d'un parlant de català com a L2 amb problemes de pronúncia de les laterals palatals

Aquest treball pretén ser l’estudi i la correcció fonètica d’un parlant de castellà com a primera llengua que té la llengua catalana coma segona llengua i presenta un problema a l’hora de pronunciar les laterals palatals. Per tant, és l’estudi d’un cas molt concret. Per a fer aquest estudi s’ha seguit el mètode verbotonal de correcció fonètica, ja que també es pretén comprovar la funcionalitat d’aquest mètode i els resultats possibles

El Texto literario en el aula de español como lengua extranjera: Propuesta de programación didáctica: Últimas tardes con Teresa, de Juan Marsé

El treball aprofundeix en la importància dels textos literaris originals en les classes d’ELE (Espanyol com a Llengua Estrangera). S’estudien les principals línies de pensament sobre l’ensenyament de la literatura a l’aula d’ELE, i l’evolució de l’ensenyament. Es defensa que mitjançant l’ús de textos literaris originals els estudiants poden percebre una mostra de la diversitat expressiva de la llengua

Infància estrangera i coneixement de la llengua de l’escola

L’escolarització de la infància estrangera es fa en programes de canvi de llengua de la llar a l’escola. Per això, el progrés de les criatures estrangeres en el domini de la llengua del centre docent remet a fer possible una pràctica educativa semblant a aquella que permet assolir l’èxit escolar en els programes d’immersió lingüística. L’article discuteix aquesta qüestió a partir d’un estudi empíric i proposa alguns criteris per orientar la pràctica educativa amb aquest alumnat

Saako historiasta selvää? Monikulttuuriset yläkoululaiset historian lähteillä historian taidot motiivien, seurauksien, historian tulkintojen ja lähteiden luotettavuuden arvioinneissa

The research assesses the skills of upper comprehensive school pupils in history. The focus is on locating personal motives, assessing wider reasons hidden in historical sources and evaluating source reliability. The research also questions how a wide use of multiple sources affects pupils’ holistic understanding of historical phenomena. The participants were a multicultural group of pupils. The origins of their cultures can be traced to the Balkan, the Middle East, Asia and Europe. The number of native Finnish speakers and pupils speaking Finnish as their second language was almost equal. The multicultural composition provides opportunities to assess how culturally responsive learning history from sources is. The intercultural approach to learning in a multicultural setting emphasizes equality as a precondition for learning. In order to set assignments at least to some extent match with all participants only those answers were taken into account which were produced by pupils who had studied history for a similar period of time in the Finnish comprehensive school system. Due to the small number of participants (41), the study avoids wide generalizations. Nevertheless, possible cultural blueprints in pupils’ way of thinking are noted. The first test examined the skills of pupils to find motives for emigration. The results showed that for 7th graders finding reasons is not a problematic task. However, the number of reasons noticed and justifications varied. In addition, the way the pupils explained their choices was a distinguishing factor. Some pupils interpreted source material making use of previous knowledge on the issue, while other pupils based their analysis solely on the text handed and did not try to add their own knowledge. Answers were divided into three categories: historical, explanatory and stating. Historical answers combined smoothly previously learned historical knowledge to one’s own source analysis; explanatory answers often ignored a wider frame, although they were effective when explaining e.g. historical concepts. The stating answers only noticed motives from the sources and made no attempts to explain them historically. Was the first test culturally responsive? All pupils representing different cultures tackled the first source exam successfully, but there were some signs of how historical concepts are understood in a slightly different way if the pupil’s personal history has no linkage to the concepts under scrutiny. The second test focused on the history of Native Americans. The test first required pupils to recognize whether short source extracts (5) were written by Indians or Caucasians. Based on what they had already learned from North American history, the pupils did not find it hard to distinguish between the sources. The analysis of multiphase causes and consequences of the disputes between Native Americans and white Americans caused dispersion among pupils. Using two historical sources and combining historical knowledge from both of them simultaneously was cumbersome for many. The explanations of consequences can be divided into two groups: the ones emphasizing short term consequences and those placing emphasis on long term consequences. The short term approach was mainly followed by boys in every group. The girls mainly paid attention to long term consequences. The result suggests that historical knowledge in sources is at least to some extent read through role and gender lenses. The third test required pupils to explain in their own words how the three sources given differed in their account of living conditions in Nazi Germany, which turned out to be demanding for many pupils. The pupils’ stronghold was rather the assessment of source reliability and accounts why the sources approached the same events differently. All participants wrote critical and justified comments on reliability and aspects that might have affected the content of the sources. The pupils felt that the main reasons that affected source reliability were the authors’ ethnic background, nationality and profession. The assessment showed that pupils were well aware that position in a historical situation has an impact on historical accounts, but in certain cases the victim’s account was seen as a historical truth. The account of events by a historian was chosen most often as the most reliable source, but it was often justified leniently with an indication to professionalism rather than with clear ideas of how historians conduct accounts based on sources. In brief, the last source test demonstrates that pupils have a strong idea that the ethnicity or nationalism determines how people explained events of the past. It is also an implication that pupils understand how historical knowledge is interpretative. The results also imply that history can be analyzed from a neutral perspective. One’s own membership in an ethnical or religious group does not automatically mean that a person’s cultural identity excludes historical explanations if something in them contradicts with his or her identity. The second method of extracting knowledge of pupils’ historical thinking was an essay analysis. The analysis shows that an analytical account of complicated political issues, which often include a great number of complicated political concepts, leads more likely to an inconsistent structure in the written work of pupils. The material also demonstrates that pupils have a strong tendency to take a critical stance when assessing history. Historical empathy in particular is shown if history somehow has a linkage to young people, children or minorities. Some topics can also awake strong feelings, especially among pupils with emigrant background, if there is a linkage between one’s own personal history and that of the school; and occasionally a student’s historical experience or thoughts replaced school history. Using sources during history lessons at school seems to have many advantages. It enhances the reasoning skills of pupils and their skills to assess the nature of historical knowledge. Thus one of the main aims and a great benefit of source work is to encourage pupils to express their own ideas and opinions. To conclude, when assessing the skills of adolescents in history - their work with sources, comments on history, historical knowledge and finally their historical thinking - one should be cautious and avoid cut off score evaluations. One purpose of pursuing history with sources is to encourage pupils to think independently, which is a useful tool for further identity construction. The idea that pupils have the right to conduct their own interpretations of history can be partially understood as part of a wider learning process, justification to study history comes from extrinsic reasons. The intrinsic reason is history itself; in order to understand history one should have a basic understanding of history as a specific domain of knowledge. Using sources does not mean that knowing history is of secondary importance. Only a balance between knowing the contextual history, understanding basic key concepts and working with sources is a solid base to improve pupils’ historical understanding.

Acerca de las relaciones entre escuela e inmigración

El artículo repasa algunos aspectos sobre la relación entre educación escolar e inmigración. Así, al inicio se analizande manera descriptiva las características de la inmigración ligada a la sociedad de la información y sus repercusiones educativas. Igualmente, se repasan algunos trabajos sobreel rendimiento académico de la infancia y la adolescencia extranjera, y se enfatiza el factor lingüístico como una de lasfuentes explicativas de dicho rendimiento. En este sentido, se muestran varias investigaciones dedicadas a conocerlos factores que inciden en el aprendizaje por el alumnado extranjero de la lengua de la escuela y, finalmente, se ofrecen varios criterios para encarar con éxito la relación entre escolarización e inmigración

Proceso de transformación de las concepciones del profesorado sobre la resolución de problemas matemáticos

The aim of this study is to analyze the transformation of Primary School teachers’ conceptions about mathematical problem solving. We performed a study with 18 teachers from three public schools: in each class (from 1º to 6º) there were two interventions, and we were interviewed teachers before and after them. The results have show identified changes in: 1) teacher’s expectations about students’ abilities; classroom management; perception of diversity; mathematical strategies used by students; communication in the classroom; causes of the problems encountered; and relevance process of problem solving in mathematics teaching. The transformation of teachers’ conceptions is due to the following factors: a) awareness of the practice; b) systematic reflection; c) the contrast between different ways to work solving problems in math class