Una visión actualizada de la didáctica de la matemática en educación infantil = An up-to-date vision of pre-school mathematics teaching

This article aims to investigate pre-school mathematics teaching from an uptodate perspective. To pursue this contemporary vision we focus on four key questions: what kind of maths is being worked on, who is doing it, how it is being done, and why it is being done

Why Mathematics is essential in Biomedical Sciences degree?

Improvement of mathematical education and motivation of students in the mathematics" area is needed. What can be done? We introduce some ideas to generate the student"s interest for mathematics, because they often present difficulties in appreciating the relevance of mathematics and its role in the health sciences. We consider that a cornerstone in the strategy to attract the students" interest is linking the mathematics with real biomedical situations. We proceed in the following manner: We first present a real biomedical situation to produce interest and to generate curiosity. Second, we ask thought-provoking questions to students as: Which is the biomedical problem presented? Which is my knowledge on this situation? What could I do to solve this biomedical situation? Do I need some new mathematical concepts and procedures? Thereupon, the teacher explains the mathematical concepts necessary to solve the case presented, providing definitions, properties and tools for graphical display and/or mathematical calculations. In this learning methodology, ICTs were cornerstones for reaching the proposed competences. Furthermore, ICTs can also be used in the evaluative task in its two possible aspects: formative and for obtaining a qualification. Comments from students about this new mathematics teaching method indicate that the use of real biomedical case studies kept the lessons in mathematics interesting.

Aprendre a Ensenyar a Resoldre Problemes

La finalitat general del projecte és la millora de la formació dels estudiants de magisteri i de professorat, pel que fa a la seva visió i els seus coneixements sobre l'ensenyament i aprenentatge de les matemàtiques, a partir d'una redefinició de les diferents assignatures de didàctica de les matemàtiques. Es pren l'aprenentatge de l'ensenyament de la resolució de problemes com a eix vertebrador de les assignatures, introduint la realitat de l'aula per mitjà de la interpretació de casos professionals gravats en videoclips. El projecte pretén elaborar materials docents així com dissenyar i experimentar noves metodologies, tant en l'àmbit presencial com virtual, i al mateix temps fomentar la coordinació del professorat que imparteix les assignatures de didàctica. Tot el material es recollirà en una base de dades en l'ADRE, que permetrà la consulta tant presencial com virtual dels materials docents i casos professionals recollits per parts de l'alumnat i professorat. Els objectius a assolits responen a la finalitat del projecte i estan relacionats amb moltes de les prioritats de la convocatòria, ja que impliquen, entre altres coses, la producció de material docent, l’experimentació de noves metodologies i la interrelació entre teoria i pràctica professional.

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

El discurs regulatiu a l'Aula. El gènere i el discurs regulatiu a la classe de matemàtiques

Aquest article pretén estudiar el discurs regulatiu a l'aula. Concretament, es vol observar si determinades característiques socials en el grup d'alumnes porten a l'ús diferenciat del discurs regulatiu del mestre.

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.

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

Coneixement lingüístic i matemàtic d'escolars de nivel sociocultural baix en programes d'immersió = Linguistic and mathematic knowledge in pupils of low sociocultural level in immersiom programmes

This piece of research compares knowledge of Catalan, Castilian and mathematics, as well as the attitudes to these two languages, of a sample of non-Catalan speaking pupils of low sociocultural level in their fourth year of primary school. Some of the pupils had followed an immersion programme in Catalan, whereas others had approached Catalan through their habitual language (Castilian). The findings show that not only did the immersion pupils obtain significantly better results in L2 (Catalan), but their mother tongue (Castilian) competence was undiminished and their performance on the mathematics test was superior to that of the other group. Moreover, the findings indicate that in pupils starting out from less favourable conditions (a low sociocultural level and a low I.Q.) the effect of the educational approach variable is greater than in other cases

Una Aproximació a la construcció significativa del coneixement matemàtic a l'ESO

This study displays and analyzes the contents of the Mathematics subject in ESO’s second cycle from a constructivist perspective. This analysis has been carried out by contrasting two groups of participants (control group and experimental group). These groups were formed by a sample of 240 students between the ages of 14 and 16 from four different educational centres of the Osona area. Research – Action methodology has been employed, combining quantitative techniques (statistical study with the SPSS package) with qualitative analysis (transcriptions of interviews and discussion group). This study has been carried out after years of classroom observation, reflection and action. The theoretical framework employed is a cognitive one, based on Ausubel’s Significative Learning Theory. Quantitative analysis shows how the researcher’s design improves, on the one hand, the students’ academic motivation and, on the other hand, their comprehensive memory, enabling them to achieve a more significant learning of the subjects’ contents. Furthermore, our analysis shows that the proposed method is more comprehensive than those employed by teachers collaborating with control groups. The main aim of the qualitative analysis is that of identifying the elements which configure the programme and contribute to an improvement of the aspects mentioned above. The key elements here are: co-operation as the basis of group dynamics; the employment, in some cases, of easily handled materials; the type of interaction between teacher and students, where, through open discussion, students are lead by teaching staff towards the course objectives; induction, that is, deducing formulae by initially using examples which are close to the students’ knowledge and experience or taken from everyday life (what we could call “down-top” mathematics). We should add here that the qualitative analysis does not only corroborate the results obtained by quantitative techniques, but also displays an increase of motivation in teaching staff. Teachers did show a positive attitude and welcomed the use and development of these materials in the next academic year. Finally, we discuss possible directions for further research.

Trans-Atlantic Pedagogy for Teaching Pre-Service Teachers ICT: Bringing forward cultural issues

Projecte de recerca elaborat a partir d’una estada a la Universitat de Toronto, Canadà, des d’octubre del 2006 a febrer del 2007. El projecte Barchito és un projecte Interrnacional que va involucrar tres universitats: La Universitat Autònoma de Barcelona, la Universitat de Toronto (Canadà) i la Universitat de Roosevelt (USA). El seu objectiu principal era posar en contacte estudiants de les tres universitats (de tres cursos diferents) per discutir al voltant de temes com ara l'ensenyament/aprenentatge i elements culturals de cada país. Aquest projecte presenta la natura de l'experiència des de la visió dels participants: alumnat i professorat. Superant diferències inicials de llengua, els participants van aprendre d'altra cultura, van aprendre sobre altres maneres d'ensenyar i van aprendre, en definitiva, sobre ells mateixos. L'eina d'aprenentatge col.laboratiu els va ajudar a sobrepassar el context immediat, emprant per això, l'eina tecnològica anomenada: Knowledge Forum.

OER in Portugal as agent of curriculum innovation and technological change. Inducing practices of "new" teaching standards

This research project aimed the following goal: promote the creation, use and disclosure of OER in a Group of Schools, involving schools and teachers from different learning levels, expecting to test and validate the use of OER, in a learning-teaching model towards curricular innovation. Defining as a starting point different subjects and teachers from distinct academic areas, we have implemented a set of activities leading to the creation of OER supported, when possible, in FLOSS tools. We adopted an action research methodology with a dual purpose: to act within a community of teachers and students, while increasing at the same time their knowledge, as well as the researcher's. The activity was developed cooperatively in order to process a certain reality of the teaching-learning process, through practical/reflective action towards it and inducing its implementation by others in the Portuguese School System, based on the production and sharing OER.

OER as a Model for Enhanced Teaching and Learning

This article presents preliminary findings from a research study conducted by the Institute for the Study of Knowledge Management in Education on the role of open educational resources (OER) in transforming pedagogy. Based on a study of art and humanities teachers participating in an OER training network, the study reveals how exposure to OER resources and tools support collaboration among teachers, as well as new conversations about teaching practices. These findings have implications for engaging teachers in adopting new OER use practices, and for how OER can be integrated as a model for innovation in teaching and in resource development.

Desenvolupament en Moodle d’eines d’autoaprenentatge i avaluació continua en les àrees de Física i Matemàtiques

Aquesta comunicació presenta el projecte Aula de Tests desenvolupat com a suport en el desplegament de les assignatures de física i matemàtiques de primer curs dels estudis d'enginyeria de l’Escola Superior Politècnica de la Universitat Pompeu Fabra. El projecte té com a objectiu dissenyar eines d'auto aprenentatge i d'avaluació contínua accessible on-line a través de l'entorn Moodle per a afavorir el procés d'aprenentatge de l’estudiant. El context d’aquesta experiència es caracteritzaper la inherent dificultat dels estudis d’enginyeria, pel fet que molts estudiants entren a la universitat amb mancances substancials de coneixements en aquestes àrees així com la heterogeneïtat en quant a la formació pre-universitària. S’hi descriuen lescaracterístiques de les activitats programades i el context on s’han aplicat i es presenten els resultats de satisfacció, participació i notes que aporten informació útil al professorat per a adequar la planificació i les activitats els cursos següents.

Bringing Funds of Family Knowledge to school. The Living Morocco Project (“برغملا شيعلا”)

The purpose of the study, grounded in sociocultural theory, is to describe the funds of knowledge of a Moroccan family living in Catalonia (Spain) in order to document how teachers can use these funds of knowledge to make direct links between students' lives and classroom teaching. The funds of knowledge approach is based on a simple premise: regardless of any socio-economical and sociocultural "deficit" that people may or may not have all families accumulate bodies of beliefs, ideas, skills and abilities based on their experiences (in areas such as their occupation or their religion). The challenge consists in connecting these bodies of educational resources with teaching practice in order to connect the curriculum with students' lives. In doing so, qualitative research can be carried out using several techniques such as self portraits, self-definition tasks, assessment of family artefacts, documenting routines through photographs, or the analysis of a person's significant circle. The results in terms of teaching practices illustrate the variety of ways teachers can make connections between home and school in ways that assist learners in their academic development. In this article, we propose using the term funds of identity to complement the concept of funds of knowledge

Mathematics in Catalonia: 1996-2002

The aim of this article is to present the main conclusions of the Report on research in Catalonia for the area of mathematics**. The report was prepared by Joaquim Bruna, Marta Sanz, Joan de Solà-Morales and the author of this text, and published by the Institute for Catalan Studies in 1998. In the report, scientific activity in the area of mathematics was measured essentially by examining two parameters: papers published in specialised journals and doctoral theses read. It should be recognised that a considerable amount of activity in the field of mathematics consists of applying existing knowledge to the resolution of practical technological problems that arise in particular companies. This kind of scientific activity was not measured in any way in the report due to the difficulty of obtaining objective data. This article is divided into the following sections: human resources, scientific production, funding, research publications, research centres, and conclusions.