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.

Entrepreneurial Orientation, Intangible Assets and Firm Growth: the impact of ‘Spirit and Material’ on the growth of Chinese private firms

This paper has three contributions. First, it shows how field work within small firms in PR Chinese has provided new evidence which enables us to measure and calibrate Entrepreneurial Orientation (EO), as ‘spirit’, and Intangible Assets (IA), as ‘material’, for use in models of small firm growth. Second, it uses inter-item correlation analysis and both exploratory and confirmatory factor analysis to provide new measures of EO and IA, in index and in vector form, for use in econometric models of firm growth. Third, it estimates two new econometric models of small firm employment growth in PR China, under the null hypothesis of Gibrat’s Law, using our two new index-based and vector-based measures of EO and IA. Estimation is by OLS with adjustment for heteroscedasticity, and for sample selectivity. Broadly, it finds that EO attributes have had little significant impact on small firm growth, and indeed innovativeness and pro-activity paradoxically may even dampen growth. However, IA attributes have had a positive and significant impact on growth, with networking, and technological knowledge being of prime importance, and intellectual property and human capital being of lesser but still significant importance. In the light of these results, Gibrat’s Law is generalized, and Jovanovic’s learning theory is extended, to emphasise the importance of IA to growth. These findings cast new empirical light on the oft-quoted national slogan in PR China of “spirit and material”. So far as small firms are concerned, this paper suggests that their contribution to PR China’s remarkable economic growth is not so much attributable to the ‘spirit’ of enterprise (as suggested by propaganda) as, more prosaically, to the pursuit of the ‘material’.

«Où, quand, et comment ?» : Évolution des conduites agressives en football et en hockey sur glace

RésuméCette étude a pour objectif d'observer l'évolution des actes agressifs dans deux sports d'équipes en fonction de facteurs situationnels (périodes de jeu, lieu de la faute, état du score) et du type d'agressions (instrumentales, hostile). 60 matchs professionnels de football et de hockey sur glace ont été filmés puis analysés à l'aide de grilles d'observation différenciant les deux types d'agressions. Les résultats révèlent que dans ces deux sports, les agressions instrumentales sont plus fréquentes dans les zones importantes du terrain (milieu ou défense) ou lorsque le score est serré. En revanche, les agressions hostiles ne varient pas (ou peu) selon ces facteurs. Les résultats sont discutés au regard de la théorie de l'apprentissage social et de l'hypothèse frustration-agression.AbstractThis study aims at examining observed aggression in two team sports as a function of situational triggers (periods, zones of field, games score) and of type of aggression (instrumental, hostile). 60 soccer and ice hockey games were recorded and analyzed using a grid that differentiates the two types of aggression. The results revealed that theses two sports, instrumental aggressions were more frequent in important zones of field (neutral or defensive ones) and in tied score situations. However, no difference was found for hostile aggression according to these factors. The discussion focused on the social learning theory and frustration-aggression hypothesis.

Mapping of Environmental Data Using Kernel-Based Methods

Recently, kernel-based Machine Learning methods have gained great popularity in many data analysis and data mining fields: pattern recognition, biocomputing, speech and vision, engineering, remote sensing etc. The paper describes the use of kernel methods to approach the processing of large datasets from environmental monitoring networks. Several typical problems of the environmental sciences and their solutions provided by kernel-based methods are considered: classification of categorical data (soil type classification), mapping of environmental and pollution continuous information (pollution of soil by radionuclides), mapping with auxiliary information (climatic data from Aral Sea region). The promising developments, such as automatic emergency hot spot detection and monitoring network optimization are discussed as well.

A sharp concentration inequality with applications

We present a new general concentration-of-measure inequality and illustrate its power by applications in random combinatorics. The results find direct applications in some problems of learning theory.

Automatic classification of MR scans in Alzheimer's disease.

To be diagnostically useful, structural MRI must reliably distinguish Alzheimer's disease (AD) from normal aging in individual scans. Recent advances in statistical learning theory have led to the application of support vector machines to MRI for detection of a variety of disease states. The aims of this study were to assess how successfully support vector machines assigned individual diagnoses and to determine whether data-sets combined from multiple scanners and different centres could be used to obtain effective classification of scans. We used linear support vector machines to classify the grey matter segment of T1-weighted MR scans from pathologically proven AD patients and cognitively normal elderly individuals obtained from two centres with different scanning equipment. Because the clinical diagnosis of mild AD is difficult we also tested the ability of support vector machines to differentiate control scans from patients without post-mortem confirmation. Finally we sought to use these methods to differentiate scans between patients suffering from AD from those with frontotemporal lobar degeneration. Up to 96% of pathologically verified AD patients were correctly classified using whole brain images. Data from different centres were successfully combined achieving comparable results from the separate analyses. Importantly, data from one centre could be used to train a support vector machine to accurately differentiate AD and normal ageing scans obtained from another centre with different subjects and different scanner equipment. Patients with mild, clinically probable AD and age/sex matched controls were correctly separated in 89% of cases which is compatible with published diagnosis rates in the best clinical centres. This method correctly assigned 89% of patients with post-mortem confirmed diagnosis of either AD or frontotemporal lobar degeneration to their respective group. Our study leads to three conclusions: Firstly, support vector machines successfully separate patients with AD from healthy aging subjects. Secondly, they perform well in the differential diagnosis of two different forms of dementia. Thirdly, the method is robust and can be generalized across different centres. This suggests an important role for computer based diagnostic image analysis for clinical practice.

Kernel-based Mapping of Meteorological Fields in Complex Orography

Due to the advances in sensor networks and remote sensing technologies, the acquisition and storage rates of meteorological and climatological data increases every day and ask for novel and efficient processing algorithms. A fundamental problem of data analysis and modeling is the spatial prediction of meteorological variables in complex orography, which serves among others to extended climatological analyses, for the assimilation of data into numerical weather prediction models, for preparing inputs to hydrological models and for real time monitoring and short-term forecasting of weather.In this thesis, a new framework for spatial estimation is proposed by taking advantage of a class of algorithms emerging from the statistical learning theory. Nonparametric kernel-based methods for nonlinear data classification, regression and target detection, known as support vector machines (SVM), are adapted for mapping of meteorological variables in complex orography.With the advent of high resolution digital elevation models, the field of spatial prediction met new horizons. In fact, by exploiting image processing tools along with physical heuristics, an incredible number of terrain features which account for the topographic conditions at multiple spatial scales can be extracted. Such features are highly relevant for the mapping of meteorological variables because they control a considerable part of the spatial variability of meteorological fields in the complex Alpine orography. For instance, patterns of orographic rainfall, wind speed and cold air pools are known to be correlated with particular terrain forms, e.g. convex/concave surfaces and upwind sides of mountain slopes.Kernel-based methods are employed to learn the nonlinear statistical dependence which links the multidimensional space of geographical and topographic explanatory variables to the variable of interest, that is the wind speed as measured at the weather stations or the occurrence of orographic rainfall patterns as extracted from sequences of radar images. Compared to low dimensional models integrating only the geographical coordinates, the proposed framework opens a way to regionalize meteorological variables which are multidimensional in nature and rarely show spatial auto-correlation in the original space making the use of classical geostatistics tangled.The challenges which are explored during the thesis are manifolds. First, the complexity of models is optimized to impose appropriate smoothness properties and reduce the impact of noisy measurements. Secondly, a multiple kernel extension of SVM is considered to select the multiscale features which explain most of the spatial variability of wind speed. Then, SVM target detection methods are implemented to describe the orographic conditions which cause persistent and stationary rainfall patterns. Finally, the optimal splitting of the data is studied to estimate realistic performances and confidence intervals characterizing the uncertainty of predictions.The resulting maps of average wind speeds find applications within renewable resources assessment and opens a route to decrease the temporal scale of analysis to meet hydrological requirements. Furthermore, the maps depicting the susceptibility to orographic rainfall enhancement can be used to improve current radar-based quantitative precipitation estimation and forecasting systems and to generate stochastic ensembles of precipitation fields conditioned upon the orography.

Les cançons a l'educació infantil. Com i per què s'utilitzen? Anàlisi d’un cas

Les cançons a l’Educació Infantil. Com i per què s’utilitzen? constitueix el títol del tema estudiat en aquest treball d’investigació qualitativa basada en la teoria constructivista de l’aprenentatge. Amb aquest procés de recerca hem volgut conèixer quina importància tenen les cançons en l’àmbit escolar, com cal treballar-les a l’aula i per a què es poden utilitzar. A partir d’aquesta informació extreta de la fonamentació teòrica hem realitzat l’aplicació pràctica basada en l’observació directa del treball de les cançons a l’aula de P5 de l’Escola Peranton de Granollers, centre que basa la seva metodologia en un Projecte Musical. Per últim, hem comparat, analitzat i extret conclusions entre el tractament de les cançons que defensen els teòrics i la realitat observada en el centre.

Robust Nonlinear Mapping of Soil Contamination Using Support Regression

Spatial data analysis mapping and visualization is of great importance in various fields: environment, pollution, natural hazards and risks, epidemiology, spatial econometrics, etc. A basic task of spatial mapping is to make predictions based on some empirical data (measurements). A number of state-of-the-art methods can be used for the task: deterministic interpolations, methods of geostatistics: the family of kriging estimators (Deutsch and Journel, 1997), machine learning algorithms such as artificial neural networks (ANN) of different architectures, hybrid ANN-geostatistics models (Kanevski and Maignan, 2004; Kanevski et al., 1996), etc. All the methods mentioned above can be used for solving the problem of spatial data mapping. Environmental empirical data are always contaminated/corrupted by noise, and often with noise of unknown nature. That's one of the reasons why deterministic models can be inconsistent, since they treat the measurements as values of some unknown function that should be interpolated. Kriging estimators treat the measurements as the realization of some spatial randomn process. To obtain the estimation with kriging one has to model the spatial structure of the data: spatial correlation function or (semi-)variogram. This task can be complicated if there is not sufficient number of measurements and variogram is sensitive to outliers and extremes. ANN is a powerful tool, but it also suffers from the number of reasons. of a special type ? multiplayer perceptrons ? are often used as a detrending tool in hybrid (ANN+geostatistics) models (Kanevski and Maignank, 2004). Therefore, development and adaptation of the method that would be nonlinear and robust to noise in measurements, would deal with the small empirical datasets and which has solid mathematical background is of great importance. The present paper deals with such model, based on Statistical Learning Theory (SLT) - Support Vector Regression. SLT is a general mathematical framework devoted to the problem of estimation of the dependencies from empirical data (Hastie et al, 2004; Vapnik, 1998). SLT models for classification - Support Vector Machines - have shown good results on different machine learning tasks. The results of SVM classification of spatial data are also promising (Kanevski et al, 2002). The properties of SVM for regression - Support Vector Regression (SVR) are less studied. First results of the application of SVR for spatial mapping of physical quantities were obtained by the authorsin for mapping of medium porosity (Kanevski et al, 1999), and for mapping of radioactively contaminated territories (Kanevski and Canu, 2000). The present paper is devoted to further understanding of the properties of SVR model for spatial data analysis and mapping. Detailed description of the SVR theory can be found in (Cristianini and Shawe-Taylor, 2000; Smola, 1996) and basic equations for the nonlinear modeling are given in section 2. Section 3 discusses the application of SVR for spatial data mapping on the real case study - soil pollution by Cs137 radionuclide. Section 4 discusses the properties of the modelapplied to noised data or data with outliers.

El Aprendizaje dialógico y sus contribuciones a la teoría de la educación

This article highlights the contributions of the dialogic learning approach to educational theory, with the aim of providing some orientations in order to promote egalitarian and scientific educational practice. The seven principles of dialogic learning are discussed, along with other reproductionist theories and practices from the educational field, demonstrating how the former both surpass the latter. The article also reflects open dialogue with the critical theories of education which the dialogic learning theory is based on. These basic theories are, on the one hand, by authors who are distant in time but very close in their educational approach, such as Ferrer i Guàrdia, Vygotsky, or Paulo Freire, and, on the other hand, by other contemporary authors in critical pedagogy. Each of the seven principles presented are provided along with a critical examination of a specific educational practice. The consequences of the implementation of dialogic learning are underlined here through an analysis of innovative and critical educational projects which are academically successful

Innovatiivisuus ja yhteistoiminnallinen oppiminen liike-elämässä ja opetuksessa

Innovativity and cooperative learning in business life and teaching The study comprises four articles and a summary, which analyse the concepts of innovation and innovativity and the cooperative learning connected to the innovation processes of companies. Th e study comments on what is innovativity. Another point of inspection is how the cooperative learning theory constructed on the basis of educational science lends it self to inspecting business innovations. At the end, we ponder upon how the concepts of innovativity can be used to inspect teachers’ activities. The studied business innovations were chosen on after considering expert statements. The key personnel in the innovation process were interviewed. The concept of innovation is inspected especially with the aid of concept analysis. The pedagogical innovativity study based on the view of education specialists in quantitative and the data was collected with a questionnaire created on the basis of previous research and literature. Different research methods were used in the studies, thus mixed methods were used for the whole of the doctoral thesis. The starting point for the whole, grounded theory, has to be understood here as a research strategy as well as a research method and data analysis method. The results show that innovativity is creativity that demands versatile learning and has positive eff ects on the process or event in practice. The results also show that in successful innovation businesses cooperative learning is something that has been found instead of searched. Cooperative learning can be seen as characteristic for innovation businesses. The five stage division of cooperative learning creates a useful method of analysing learning in innovation businesses. Innovativity connected to cooperative learning seems to make the creation of innovations possible. In addition to this, the results also show that a teacher’s innovativity is connected to reforms and an attitude that embraces them. Versatile learning in the individual and community is a prerequisite for innovativity. It is important that the teacher has a continuous will to renew teaching methods and combine work and teaching methods. The basic requirements are pedagogical vocational profi ciency and resourcefulness in everyday work.

Perspektivmöten i skola och handledning : lärares tankar om specialpedagogisk handledning

To create a more inclusive school, an increase in multidisciplinary cooperation is needed. One possible form of collaboration could encompass the special education teacher taking on the role of a consultant for other teachers in need of support in working with heterogeneous groups of pupils. Previous research shows that special education teachers see the role as consultant as diffuse and complex. The overarching aim of the present study involves deepening the knowledge on how consultation in a special educational context can be understood and developed based on teachers’ descriptions on this particular form of activity interpreted against various perspectives on consultation. The study is qualitative in nature and rests on a hermeneutic interpretive research tradition in combination with an abductive approach. The theoretical framework consists of two different approaches to consultation: the directive and the non-directive approach. The approaches differ regarding particular emphasis on advice and reflection during the consultation and with respect to who or what should be the focus of the consultation. The two approaches are here studied through various theories such as social learning theory, Bruner's theory of scaffolding, Roger’s humanist psychology, and constructivism. Semi-structured interviews were held with eighteen special education teachers (n=9) and class teachers (n=9) working in the compulsory school. The overall interpretation of the results shows that special education consultation can be understood as three different types of consultation. Consultation as counseling which harmonizes with the directive perspective on consultation is the most prominent type. In the consultation as counseling conversation, the special educational knowledge transfer is central and the focus is placed on the pupil. Although special education knowledge transfer emerges as a unique aspect of special education consultation, there are several inherent challenges in this type of consultation that can be addressed in that teachers also describe two other types of consultation. In the reflective consultation, there is a move away from the pupil focus and toward a focus on the class teacher and the use of reflection. The reflective consultation harmonizes with the non-directive approach to consultation. This type of consultation does not as of yet have a prominent place in the Finland-Swedish school context and at this stage it is not seen as a legitimate type of consultation according to the teachers’ descriptions. Despite this, certain aspects of the reflective conversation could be given more space in the development of consultation within special educational contexts. The co-operative consultation is characterized by the teachers acting as teammates and using professional exchange as a strategy for consultation. Both teachers' knowledge is seen as central, and rather than the special education teacher acting as the expert and moderator, the teachers control the consultation together and jointly move the work along. The co-operative consultation enables the focus to move from the pupil toward the context, which can lead to the development of inclusive practices. The results indicate that this type of consultation holds potential in the development of special educational consultation that takes place between equal colleagues. The co-operative consultation opens up for a third collaborative approach to consultation, where aspects of the directive and non-directive perspective can merge and develop. The thesis concludes with the proposal that special pedagogical consultation can be understood from an integrated perspective. The characteristics of the consultation can vary depending on the type of problem or situation, while co-operative consultation can be seen as the ideal as equal colleagues meet in consultation conversations. In order to develop the co-operative consultation, both teachers are required to have knowledge of consultation as a practice, to be part of a collaborative school climate, and that teachers are provided with enough time to take part in consultations.

Defending behavior in bullying situations

In order to encourage children and adolescents to defend and support their victimized peers, it is important to identify factors that either maximize or minimize the probability that students will engage in such behaviors. This thesis is composed of four studies designed to elucidate how a variety of factors work in conjunction to explain why some children defend their victimized classmates, whereas others remain passive or reinforce the bully. The conceptual framework of this thesis is drawn from several theoretical considerations, including social cognitive learning theory, the expectancy-value framework as well as the literature emphasizing the importance of empathy in motivating behaviors. Also the child-by-environment perspective and the socialecological perspective influenced this research. Accordingly, several intra- and interpersonal characteristics (e.g., social cognitions, empathy, and social status) as well as group-level factors (e.g., norms) that may either enhance or reduce the probability that students defend their victimized peers are investigated. In Studies I and II, the focus is on social cognitions, and special attention is paid to take into account the domain-specificity of cognition-behavior processes. Self-efficacy for defending is still an interest of study III, but the role of affective empathy on defending is also investigated. Also social status variables (preference and perceived popularity) are evaluated as possible moderators of links between intrapersonal factors and defending. In Study IV, the focus is expanded further by concentrating on characteristics of children’s proximal environments (i.e., classroom). Bullying norms and collective perceptions (i.e., connectedness among the students and the teachers’ ability to deal with bullying situations) are examined. Data are drawn from two research projects: the Kaarina Cohort Study (consisting of fourth and eighth graders) and the randomized controlled trial (RCT) evaluating the effects of the KiVa antibullying program (consisting of third to fifth graders). The results of the thesis suggest that defending the victims of bullying is influenced by a variety of individual level motivational characteristics, such as social cognitions and affective empathy. Also, both perceived popularity and social preference play a role in defending, and the findings support the conceptualization that behavior results from the interplay between the characteristics of an individual child and their social-relational environment. Classroom context further influences students’ defending behavior. Thus, antibullying efforts targeting peer bystanders should aim to influence intra- and interpersonal characteristics of children and adolescents as well as their social environment.

Research in the clinical setting : a qualitative study of the value of play research in the continuing education of occupational therapists.

Occupational therapists have always recognized playas an important part of a child's life. However, until recently play has been viewed as a medium for reaching treatment goals, rather than as an activity that is valuable in and of itself. If occupational therapists think of playas the primary activity or occupation of childhood, then play should be a very important area of focus for paediatric clinicians. In order to assist children to become as independent as possible with play and to have fulfilling play experiences the occupational therapist needs to have a clear understanding of how to assess, set goals which lead towards competence in play, and promote play. Recent play literature has placed importance on play behaviours and looking at the relationship between the child and both the human and nonhuman environment. Believing that play and playfulness can and should be promoted, for children with physical disabilities, requires that therapists learn new assessment and intervention strategies. A new assessment tool, The Test of Playfulness, was developed by Bundy in 1994. It addressed play behaviours and environmental influences. The author, a co-investigator and eight occupational therapists were involved in a playfulness study using this test to compare the playfulness of children with physical disabilities with their able-bodied peers. After the study was completed the author questioned whether or not involvement in the playfulness study was enough of a change agent to bring about transformative learning in order to further the eight occupational therapists' education about play.This study investigated changes in either the therapists' thinking about play or their behaviour in their clinical practice. The study also examined the participants' retention of knowledge about the Test of Playfulness. The eight therapists who had been involved in the playfulness study (participants) were matched with eight therapists who had not been involved (nonparticipants). The therapists were interviewed 9 to 12 months after completion of the playfulness study. They were asked to describe various scenarios of play and open ended prompts were used to elicit the therapists' perceptions of play, good play, the role or value of play, environmental and gender influences on play, play assessment and intervention, and play research, for children with and without disabilities. The participants were also prompted to discuss their experience with the playfulness study. A self-report questionnaire was also completed at the end of the interview. The results of the study demonstrated that: (a) the play research project was a good format for continuing the participants' education about play; (b) their thinking had changed about play; (c) according to self report, they had used this new knowledge in their clinical practice; and (d) the participants remembered the items on the Test of Playfulness and could use them in describing various aspects of play. This study found that participating in a play research project had been an effective method of professional development. It also highlighted the need for increased awareness of the recent literature on play and the developing role of the occupational therapist in the assessment and intervention of play.

The female coach as a role model for personal growth and development to the female adolescent athlete

Research interest on the topic of female coaches as role models has recently emerged in the coaching literature. Social learning theory (Bandura, 1963; 1977; 1986) has also emerged as an essential framework in explaining learning through modeling. Previous research has examined the coach as a role model, as well as gender differences between coaches. Several authors, with several different conclusions, have studied the significance of gender as an influencer in role modeling. Whitaker and Molstad in 1988 conducted a study focusing on the coach as a role model. What they found was when they combined the results of high school and college aged athletes; the female coach was considered to be a superior role model. The current research used a social learning theory framework to examine the benefits and intricacies of the modeling relationship between female adolescent athletes and influential female coaches. To accomplish this task, the formative experiences of thirteen adolescent female athletes were examined. Each athlete was interviewed, with each semi-structured interview focusing on extracting the salient features of a coach that the athlete identified as being the most influential in her personal development. The data from these interviews were quaHtatively analyzed using case studies. From case studies, a template emerges in which the coach/athlete relationship can be seen as an essential construct in which caring and strong role models can have lasting effects on the lives, values, and successes of adolescent female athletes.