Função afim e suas propriedades através da resolução de problemas

Pós-graduação em Matemática em Rede Nacional - IBILCE

Uma análise dos livros de André Perez Y Marin: um momento da história da matemática escolar brasileira no início do século XX

Pós-graduação em Educação Matemática - IGCE

Uma análise dos livros de André Perez Y Marin: um momento da história da matemática escolar brasileira no início do século XX

Pós-graduação em Educação Matemática - IGCE

As reformas necessárias ao ensino secundário brasileiro nos anos 1950, segundo a Revista Brasileira de Estudos Pedagógicos

Neste artigo, propõe-se uma análise dos artigos sobre o ensino secundário, publicados na Revista Brasileira de Estudos Pedagógicos (RBEP) ao longo dos anos de 1950. Investigam-se as críticas feitas por seus colaboradores à organização dada pela Lei Orgânica do Ensino Secundário (1942) a ramo do ensino médio, assim como as principais propostas de reforma, visando a torná-lo mais ativo, mais prático e mais popular. O objetivo principal é investigar que novo padrão de ensino secundário se projetava da combinação dos argumentos, como ideal para o ensino secundário brasileiro nos anos 1950. Tais necessidades se justificavam pela ideia de que o mundo vinha sendo regido por "novos imperativos" culturais, que a escola brasileira deveria adotar a fim de fomentar o desenvolvimento do país.

Vad man ska kunna och hur man ska vara : En studie om enhetschefers och vårdbiträdens yrkeskompetens inom äldreomsorgens särskilda boendeformer

The dissertation What to do and how to be reflects upon the professional skills needed by unit managers and nursing staff within the institutions of eldercare. Throughout the study, three conceptions are essential: formal education and training, professional skills, and individual competence. In order to understand the professional skills within its proper context, an activity perspective has been applied. The study is based on empirical materials, historical and present national and municipal documents, interviews with and observations of unit managers as well as questionnaires filled in by nursing staff members. A main result is the stress the respondents put on the importance of individual competence among unit managers and nursing staff members. “How to be” is more important than formal training and professional skills. To work with – and develop – individual competence therefore becomes momentous both to job activities and to education. The result shows a discrepancy between the way professional skills are discussed and the actual work performance. A lot of tasks carried out by unit managers and nursing stuff are never mentioned in connection with professional skills. The unit manager’s task is to lead both unit operations and staff work. Such responsibilities demand basic knowledge in social sciences, an overall understanding of the work activities from political management, job conditions and duties of the nursing staff. The professional skills given priority are those present in organisations and leadership. Problematic are economic and budget tasks which may sometimes cause unit managers to give up their economic responsibility, favouring client – directed over economy – directed care. The main task of the nursing staff is the care of elderly. It calls for social, caring, medical and housekeeping skills. For this one needs an upper secondary level education supplying the students with solid knowledge within social science as well as basic medicine and an overall understanding of the situation and needs of the elderly. Throughout the study, knowledge of the demented and of other mental disorders is emphasized as well as treatment of elderly persons suffering from those disorders. Units still have a long way to go before reaching the goal that every nursing staff member be given a formal education. Some municipalities already offer employees shorter nursing staff training. As to the rest, the educational development is neglected.

Studio di ausili tecnologici compensativi di supporto all'iter di apprendimento matematico secondario e universitario degli studenti con dislessia

Data coming out from various researches carried out over the last years in Italy on the problem of school dispersion in secondary school show that difficulty in studying mathematics is one of the most frequent reasons of discomfort reported by students. Nevertheless, it is definitely unrealistic to think we can do without such knowledge in today society: mathematics is largely taught in secondary school and it is not confined within technical-scientific courses only. It is reasonable to say that, although students may choose academic courses that are, apparently, far away from mathematics, all students will have to come to terms, sooner or later in their life, with this subject. Among the reasons of discomfort given by the study of mathematics, some mention the very nature of this subject and in particular the complex symbolic language through which it is expressed. In fact, mathematics is a multimodal system composed by oral and written verbal texts, symbol expressions, such as formulae and equations, figures and graphs. For this, the study of mathematics represents a real challenge to those who suffer from dyslexia: this is a constitutional condition limiting people performances in relation to the activities of reading and writing and, in particular, to the study of mathematical contents. Here the difficulties in working with verbal and symbolic codes entail, in turn, difficulties in the comprehension of texts from which to deduce operations that, once combined together, would lead to the problem final solution. Information technologies may support this learning disorder effectively. However, these tools have some implementation limits, restricting their use in the study of scientific subjects. Vocal synthesis word processors are currently used to compensate difficulties in reading within the area of classical studies, but they are not used within the area of mathematics. This is because the vocal synthesis (or we should say the screen reader supporting it) is not able to interpret all that is not textual, such as symbols, images and graphs. The DISMATH software, which is the subject of this project, would allow dyslexic users to read technical-scientific documents with the help of a vocal synthesis, to understand the spatial structure of formulae and matrixes, to write documents with a technical-scientific content in a format that is compatible with main scientific editors. The system uses LaTex, a text mathematic language, as mediation system. It is set up as LaTex editor, whose graphic interface, in line with main commercial products, offers some additional specific functions with the capability to support the needs of users who are not able to manage verbal and symbolic codes on their own. LaTex is translated in real time into a standard symbolic language and it is read by vocal synthesis in natural language, in order to increase, through the bimodal representation, the ability to process information. The understanding of the mathematic formula through its reading is made possible by the deconstruction of the formula itself and its “tree” representation, so allowing to identify the logical elements composing it. Users, even without knowing LaTex language, are able to write whatever scientific document they need: in fact the symbolic elements are recalled by proper menus and automatically translated by the software managing the correct syntax. The final aim of the project, therefore, is to implement an editor enabling dyslexic people (but not only them) to manage mathematic formulae effectively, through the integration of different software tools, so allowing a better teacher/learner interaction too.

Reconstructing Quantum Field Theory from an Educational Perspective

The research work concerns the analysis of the foundations of Quantum Field Theory carried out from an educational perspective. The whole research has been driven by two questions: • How the concept of object changes when moving from classical to contemporary physics? • How are the concepts of field and interaction shaped and conceptualized within contemporary physics? What makes quantum field and interaction similar to and what makes them different from the classical ones? The whole work has been developed through several studies: 1. A study aimed to analyze the formal and conceptual structures characterizing the description of the continuous systems that remain invariant in the transition from classical to contemporary physics. 2. A study aimed to analyze the changes in the meanings of the concepts of field and interaction in the transition to quantum field theory. 3. A detailed study of the Klein-Gordon equation aimed at analyzing, in a case considered emblematic, some interpretative (conceptual and didactical) problems in the concept of field that the university textbooks do not address explicitly. 4. A study concerning the application of the “Discipline-Culture” Model elaborated by I. Galili to the analysis of the Klein-Gordon equation, in order to reconstruct the meanings of the equation from a cultural perspective. 5. A critical analysis, in the light of the results of the studies mentioned above, of the existing proposals for teaching basic concepts of Quantum Field Theory and particle physics at the secondary school level or in introductory physics university courses.

La professione docente tra rappresentazioni e progetto formativo. Un'analisi pedagogica della competenza degli insegnanti secondari

This thesis deals with the professional characteristics of secondary school teachers, with particular regard to their competence and their education. The topic will be approached starting from the characteristics and trasnformations social research has identified concerning Italian teachers, focusing on secondary teacher training. After a brief look at Europe, the attention will be directed to Italy, with particular regard to the Postgraduate Schools of Specialisation for Secondary School Teachers (SSIS); hence the need for an analysis that focuses on teaching per se and its concrete pratice. For its nature to be fully grasped, teaching must be reconsidered as an independent object of study, a performance in which competence manifests itself and a form of action involving a set of tacit and personal knowledge. A further perspective opens up for analysis, according to which the professional characteristics of teachers are the result of an education in which the whole history of the subject is involved, in its educative, formative, professional and personal aspects. The teaching profession is imbued with implicit meanings which are inaccessible to conscience but orient action and affect the interpretation of experience. Through the analysis of three different empirical data sets, collected among teachers-in-training and teachers qualified at SSIS, I will try to investigate the actual existence, the nature and the features of such implicit knowledge. It appears necessary to put the claims of process-product approaches back in their right perspective, to the benefit of a holistic conception of teaching competence. The teacher is, at the same time, “he who is teaching” and offers a concrete receiver the fruit of an endless work of study, reflection, practice and self-update. To understand this process will mean to penetrate more and more deeply into the core of teaching and teaching competence , a competence that in some respects “is” always “that” teacher, with his or her own story, implicit knowledge and representations.

"Wie eine andere Welt"

„Wie eine andere Welt“ – Eine Grounded Theory-Studie zur Frage der Teilhabe von Eltern an schulischer Kommunikation am Beispiel von RealschülerInnen Autorin: Sabine Rech Die Arbeit geht explizit auf das Verhältnis von Familie und Schule ein, wobei dieses Verhältnis nicht traditionellerweise unter dem Aspekt des Einflusses von Eltern auf die Schule bzw. der Einflussmöglichkeiten und der Zusammenarbeit von Eltern und Schule thematisiert wird, sondern inwiefern Eltern an schulischer Kommunikation teilhaben. Dies schließt unausweichlich die Frage ein, inwiefern das Thema Schule in der familialen Kommunikation aufkommt bzw. ob und welche Irritationen dadurch entstehen. Die Arbeit verfolgt dabei theoretisch einen systemtheoretischen Ansatz, mit dem die Systeme Familie und Schule eingeordnet werden. Methodisch wird mit der Grounded Theory eine eigene Studie an RealschülerInnen und ihren Eltern zur Forschung herangezogen. Nach dem Referat des Forschungsstandes und der theoretischen Rahmung wird die konkrete empirische Studie an zwei Fragen zu entfalten: „Wie gestaltet sich der Lebensalltag im Elternhaus unter dem Einfluss einer komplexen Teilhabe an schulbezogener Kommunikation“ und „Auf welche Weise erfolgt die Inklusion der Kommunikation des formal organisierten Schullebens in den emotional ausgestatteten Familienalltag und damit die Teilhabe der Eltern an der im Elternhaus geführten schulbezogenen Kommunikation?“. Diese Fragen werden in einen empirischen Rahmen gefasst und durch die Auswertung des Datenmaterials der Untersuchungsgruppe (16 RealschülerInnen der achten Klasse und 6 Elternteile) ausgewertet. Die Ergebnisse dieser Analyse, die an dieser Stelle nicht in ihrer Differenziert dargestellt werden können, zeigen als wesentlichen Ertrag das Bild von der Schule als „andere Welt“ für Eltern der RealschülerInnen. Dies lässt sich empirisch durch die Analyse der Kommunikation in der Familie belegen. Die Analyse des Datenmaterials der SchülerInnen weist hingegen darauf hin, dass Jugendliche die Schule nicht als etwas Fremdes und Distanziertes erleben, sondern hier eine Bereicherung ihrer eigenen Lebenswelt definieren.

Schulische Umwelterziehung und Umweltbewußtsein

„Abstract“ Pantring, Heinz Schulische Umwelterziehung und Umweltbewußtsein. Eine empirische Untersuchung zur Umwelterziehung und zum Umweltbewußtsein an Wiesbadener Schulen. Das Ziel der als Fallstudie konzipierten Untersuchung bestand darin, die Wirksamkeit schulischer Umwelterziehung nicht nur auf der Wissens- und Einstellungsdimension des Umweltbewußtseins, sondern vor allen Dingen auf die Dimension des Umwelthandelns im Sinne von „ökologischem Tun“ in Abhängigkeit von manifesten Persönlichkeitsmerkmalen wie Alter, Geschlecht und Dauer des Schulbesuchs zu überprüfen. Diese Überprüfung geschah durch das Angebot an alle Schüler und Lehrer, sich an einer konkreten Umweltaktion - Anlage eines Feuchtbiotops - zu beteiligen. An den Fragebogenerhebungen waren 1821 Schüler der 4., 8. und 12. Klassen aus 19 Wiesbadener Grund- und weiterführenden Schulen beteiligt. Parallel wurden bei den 550 Lehrerinnen und Lehrern, die an den entsprechenden Schulen unterrichteten, unter anderem Ausmaß und Qualität schulischer Umwelterziehung und umweltbezogener Fortbildung sowie Aspekte der Ökologisierung von Schule und Ansichten zum Umweltunterricht erfaßt. Wesentliche Ergebnisse waren: 1) Die zur Zeit praktizierte umweltorientierte Lehrerfortbildung erreicht nur einen geschlossenen Teilnehmerkreis. 2) Eine qualitative Verbesserung des Umweltunterrichtes ist eher auf Privatinitiative, als auf ein umfassendes institutionalisiertes umweltbezogenes Fortbildungsange-bot zurückzuführen. 3) Grundschüler zeigen ein ausgeprägteres Umweltbewußtsein als Schüler weiterführender Schulen. 4) Ein Großteil der in den Grundschulen durch eine intensive Schüler - Lehrer - Interaktion erreichte Motivation für Umweltprobleme und Umweltthemen geht beim Übergang von den Grundschulen zu den weiterführenden Schulen - insbesondere Gymnasien - verloren. Im Alter von 13 - 16 Jahren fallen die Schüler in ein „Motivationsloch“ für Umwelt-erziehung. 5) Schüler zeigen eine deutliche Diskrepanz zwischen verbalem umweltorientierten Engagement und dem faktisch praktizierten „Ökologischen Tun“. 6) Es gibt keinen signifikanten Zusammenhang zwischen der umweltbezogenen Handlungsbereitschaft von Schülern und der Qualität des Umweltunterrichtes. 7) Das bei Schülern allgemein entwickelte Umweltbewußtsein hängt eher mit ihrer Sozialisation in einer umweltbewußteren Zeit als mit den unmittelbaren Anstrengungen der Schule zusammen.

Conflict affected peoples’ access to education: IDP pupils in Georgia

This work seeks to understand what kind of impact educational policies have had on the secondary school students among internally displaced persons (IDPs) and their identity reconstruction in Georgia. The study offers a snapshot of the current situation based on desk study and interviews conducted among a sample of secondary school IDP pupils. In the final chapter, the findings will be reflected against the broader political context in Georgia and beyond. The study is interdisciplinary and its methodology is based on social identity theory. I shall compare two groups of IDPs who were displaced as a result of two separate conflicts. The IDPs displaced as a result of conflict in Abkhazia in 1992–1994 are named as old caseload IDPs. The second group of IDPs were displaced after a conflict in South Ossetia in 2008. Additionally, I shall touch upon the situation of the pupils among the returnees, a group of Georgian old caseload IDPs, who have spontaneously returned to de facto Abkhazia. According to the interviews, the secondary school student IDPs identify themselves strongly with the Georgian state, but their group identities are less prevailing. Particularly the old case load IDP students are fully integrated in local communities. Moreover, there seems not to be any tangible bond between the old and new caseload IDP students. The schools have neither tried nor managed to preserve IDP identities which would, for instance, make political mobilisation likely along these lines. Right to education is a human right enshrined in a number of international conventions to which the IDPs are also entitled. Access to education or its denial has a deep impact on individual and societal development. Furthermore, education has a major role in (re)constructing personal as well as national identity.

La rappresentazione della cultura arabo-islamica nei libri di storia per la scuola secondaria di primo grado. Uno sguardo particolare sull'immagine della donna musulmana

Il presente lavoro di ricerca si focalizza sulla rappresentazione della cultura arabo-islamica, così come viene restituita nei libri di storia per la scuola secondaria di primo grado. Il fatto che il mondo di oggi è caratterizzato, ora più che mai, da continui e inevitabili incontri tra persone con multiple appartenenze esige un forte impegno volto a favorire pacifici rapporti interculturali. A tale scopo si ritiene che i contenuti dei libri di testo abbiano un ruolo molto rilevante. Di qui, uno degli obiettivi consiste nel verificare se i libri di testo veicolano un’efficace educazione alla conoscenza e al rispetto delle altre culture e religioni, all’ascolto e al dialogo interculturale; nonché al superamento dell'etnocentrismo, degli stereotipi e dei pregiudizi. Si è cercato così di verificare – nel campione dei libri di testo presi in esame – quali eventuali pregiudizi ricorrenti, stereotipi o prospettive etnocentriche vengono costruite, consolidate, reiterate e trasmesse, consapevolmente o inconsapevolmente, attraverso le affermazioni o le immagini che illustrano la cultura arabo-islamica. La prima parte della tesi, quella teorica, è dedicata all'approfondimento di due temi: il primo riguarda il rapporto Oriente-Occidente e la rappresentazione dell'altro e il secondo riguarda invece la condizione della donna musulmana tra stereotipi e realtà. La seconda parte invece, quella empirica, è dedicata principalmente all'analisi del contenuto dei testi di storia. Dall'analisi effettuata è evidente l'interesse, da parte degli autori e degli editori dei libri di testo, per il tema della cultura arabo-islamica. Nonostante ciò, si è potuto riscontrare nei libri presi in esame, sebbene in misura differente, la presenza (o compresenza) di stereotipi, generalizzazioni e informazioni parziali, imprecise o errate attorno alla cultura arabo-islamica e a chi vi appartiene.

Bildungsexpansion und Bildungsbeteiligung. Oder: warum immer mehr Schulpflichtige das Gymnasium besuchen

Die vorliegende Untersuchung ist ein Beitrag, die Frage zu klären, warum in der westdeutschen Nachkriegszeit immer mehr Schulpflichtige nach Abschluss der Grundschule das Gymnasium besuchen. Ausgehend von einem entscheidungstheoretischen Modell der subjektiven Werterwartung werden Mechanismen der elterlichen Bildungsentscheidung aufgezeigt. Dabei wird davon ausgegangen, dass sowohl zunehmende Bildungsmotivationen als auch Veränderungen in der subjektiven Bewertung von Kosten und Nutzen für eine höhere Bildung wichtige Voraussetzungen für die zunehmende Bildungsbeteiligung, aber auch Folgen der Bildungsexpansion waren. Die empirischen Analysen für drei Zeitpunkte in den 60er, 70er und 80er Jahren bestätigen diese Annahmen weitgehend. Ebenso wurde empirisch belegt, welch wichtige Rolle neben den Bildungsintentionen von Eltern und dem vorhergehenden Bildungsverlauf ihrer Kinder auch strukturelle Momente der Bildungsexpansion und ihre Eigendynamik beim tatsächlichen Bildungsübergang spielen. Schließlich gibt es Hinweise dafür, dass die Persistenz klassenspezifischer Bildungsungleichheiten auf einer konstanten Balance von Nutzen und Kosten zwischen den sozialen Klassen basiert.

Impacts of out-migration on land management in mountain areas

INTRODUCTION Out-migration from mountain areas is leaving behind half families and elderly to deal with managing the land alongside daily life challenges. A potential reduction of labour force as well as expertise on cropping practices, maintenance of terraces and irrigation canals, slope stabilization, grazing, forest and other land management practices are further challenged by changing climate conditions and increased environmental threats. An understanding of the resilience of managed land resources in order to enhance adaptation to environmental and socio-economic variability, and evidence of the impact of Sustainable Land Management (SLM) on the mitigation of environmental threats have so far not sufficiently been tackled. The study presented here aims to find out how land management in mountains is being affected by migration in the context of natural hazards and climate change in two study sites, namely Quillacollo District of Bolivia and Panchase area of Western Nepal, and which measures are needed to increase resilience of livelihoods and land management practices. The presentation includes draft results from first field work periods in both sites. A context of high vulnerability According to UNISDR, vulnerability is defined as “the characteristics and circumstances of a community, system or asset that make it susceptible to the damaging effects of a hazard”.Hazards are another threat affecting people’s livelihood in mountainous area. They can be either natural or human induced. Landslides, debris flow and flood are affecting peopleGood land management can significantly reduce occurrence of hazards. In the opposite bad land management or land abandonment can lead to negative consequences on the land, and thus again increase vulnerability of people’s livelihoods. METHODS The study integrates bio-physical and socio-economic data through a case study as well as a mapping approach. From the social sciences, well-tested participatory qualitative methodologies, typically used in Vulnerability and Capacity Analyses, such as semi-structured interviews with so-called ‘key informants’, transect walks, participatory risk and social resource mapping are applied. The bio-physical analysis of the current environmental conditions determining hazards and structural vulnerability are obtained from remote sensing analysis, field work studies, and GIS analysis The assessment of the consequences of migration in the area of origin is linked with a mapping and appraisal of land management practices (www.wocat.net, Schwilch et al., 2011). The WOCAT mapping tool (WOCAT/LADA/DESIRE 2008) allows capturing the major land management practices / technologies, their spread, effectiveness and impact within a selected area. Data drawn from a variety of sources are compiled and harmonised by a team of experts, consisting of land degradation and conservation specialists working in consultation with land users from various backgrounds. The specialists’ and land users’ knowledge is combined with existing datasets and documents (maps, GIS layers, high-resolution satellite images, etc.) in workshops that are designed to build consensus regarding the variables used to assess land degradation and SLM. This process is also referred to as participatory expert assessment or consensus mapping. The WOCAT mapping and SLM documentation methodologies are used together with participatory mapping and other socio-economic data collection (interviews, questionnaires, focus group discussions, expert consultation) to combine information about migration types and land management issues. GIS and other spatial visualization tools (e.g. Google maps) will help to represent and understand these links. FIRST RESULTS Nepal In Nepal, migration is a common strategy to improve the livelihoods. Migrants are mostly men and they migrate to other Asian countries, first to India and then to the Gulf countries. Only a few women are migrating abroad. Women migrate essentially to main Nepali cities when they can afford it. Remittances are used primarily for food and education; however they are hardly used for agricultural purposes. Besides traditional agriculture being maintained, only few new practices are emerging, such as vegetable farming or agroforestry. The land abandonment is a growing consequence of outmigration, resulting in the spreading of invasive species. However, most impacts of migration on land management are not yet clear. Moreover, education is a major concern for the respondents; they want their children having a better education and get better opportunities. Linked to this, unemployment is another major concern of the respondents, which in turn is “solved” through outmigration. Bolivia Migration is a common livelihood strategy in Bolivia. In the area of study, whole families are migrating downward to the cities of the valleys or to other departments of Bolivia, especially to Chapare (tropics) for the coca production and to Santa Cruz. Some young people are migrating abroad, mostly to Argentina. There are few remittances and if those are sent to the families in the mountain areas, then they are mainly used for agriculture purpose. The impacts of migration on land management practices are not clear although there are some important aspects to be underlined. The people who move downward are still using their land and coming back during part of the week to work on it. As a consequence of this multi-residency, there is a tendency to reduce land management work or to change the way the land is used. As in Nepal, education is a very important issue in this area. There is no secondary school, and only one community has a primary school. After the 6th grade students have therefore to go down into the valley towns to study. The lack of basic education is pushing more and more people to move down and to leave the mountains. CONCLUSIONS This study is on-going, more data have to be collected to clearly assess the impacts of out-migration on land management in mountain areas. The first results of the study allow us to present a few interesting findings. The two case studies are very different, however in both areas, young people are not staying anymore in the mountains and leave behind half families and elderly to manage the land. Additionally in both cases education is a major reason for moving out, even though the causes are not always the same. More specifically, in the case of Nepal, the use of remittances underlines the fact that investment in agriculture is not the first choice of a family. In the case of Bolivia, some interesting findings showed that people continue to work on their lands even if they move downward. The further steps of the study will help to explore these interesting issues in more detail. REFERENCES Schwilch G., Bestelmeyer B., Bunning S., Critchley W., Herrick J., Kellner K., Liniger H.P., Nachtergaele F., Ritsema C.J., Schuster B., Tabo R., van Lynden G., Winslow M. 2011. Experiences in Monitoring and Assessment of Sustainable Land Management. Land Degradation & Development 22 (2), 214-225. Doi 10.1002/ldr.1040 WOCAT/LADA/DESIRE 2008. A Questionnaire for Mapping Land Degradation and Sustainable Land Management. Liniger H.P., van Lynden G., Nachtergaele F., Schwilch G. (eds), Centre for Development and Environment, Institute of Geography, University of Berne, Berne

Migrant Background and Higher Education Participation in Europe. The Effect of the Educational Systems

The main aim of this article is to shed light on the extent to which differences in higher education participation between people with and without a migrant background of low/higher social origin can be explained by two macro-level characteristics of national educational institutions: stratification of the secondary school system and provision of alternative access to higher education. General assumptions are that people with a migrant background of low social origin benefit in low-stratified secondary school systems and in systems that provide alternative access to institutions of higher education more than their native peers in the same social stratum, owing to primary and secondary effects of migrant background. Database is a pooled dataset of the five waves of the European Social Survey. Results of logistic multi-level analyses indicate that a low-stratified secondary school system improves the probability of people with a migrant background/low social origin attaining a higher education degree. On the other hand, a stratified secondary school system reduces their chances regarding this educational stage. The provision of alternative access to an institution of higher education improves their likelihood of becoming higher education graduates.