Componenti spaziali della rappresentazione cognitiva della grandezza del numero

The humans process the numbers in a similar way to animals. There are countless studies in which similar performance between animals and humans (adults and/or children) are reported. Three models have been developed to explain the cognitive mechanisms underlying the number processing. The triple-code model (Dehaene, 1992) posits an mental number line as preferred way to represent magnitude. The mental number line has three particular effects: the distance, the magnitude and the SNARC effects. The SNARC effect shows a spatial association between number and space representations. In other words, the small numbers are related to left space while large numbers are related to right space. Recently a vertical SNARC effect has been found (Ito & Hatta, 2004; Schwarz & Keus, 2004), reflecting a space-related bottom-to-up representation of numbers. The magnitude representations horizontally and vertically could influence the subject performance in explicit and implicit digit tasks. The goal of this research project aimed to investigate the spatial components of number representation using different experimental designs and tasks. The experiment 1 focused on horizontal and vertical number representations in a within- and between-subjects designs in a parity and magnitude comparative tasks, presenting positive or negative Arabic digits (1-9 without 5). The experiment 1A replied the SNARC and distance effects in both spatial arrangements. The experiment 1B showed an horizontal reversed SNARC effect in both tasks while a vertical reversed SNARC effect was found only in comparative task. In the experiment 1C two groups of subjects performed both tasks in two different instruction-responding hand assignments with positive numbers. The results did not show any significant differences between two assignments, even if the vertical number line seemed to be more flexible respect to horizontal one. On the whole the experiment 1 seemed to demonstrate a contextual (i.e. task set) influences of the nature of the SNARC effect. The experiment 2 focused on the effect of horizontal and vertical number representations on spatial biases in a paper-and-pencil bisecting tasks. In the experiment 2A the participants were requested to bisect physical and number (2 or 9) lines horizontally and vertically. The findings demonstrated that digit 9 strings tended to generate a more rightward bias comparing with digit 2 strings horizontally. However in vertical condition the digit 2 strings generated a more upperward bias respect to digit 9 strings, suggesting a top-to-bottom number line. In the experiment 2B the participants were asked to bisect lines flanked by numbers (i.e. 1 or 7) in four spatial arrangements: horizontal, vertical, right-diagonal and left-diagonal lines. Four number conditions were created according to congruent or incongruent number line representation: 1-1, 1-7, 7-1 and 7-7. The main results showed a more reliable rightward bias in horizontal congruent condition (1-7) respect to incongruent condition (7-1). Vertically the incongruent condition (1-7) determined a significant bias towards bottom side of line respect to congruent condition (7-1). The experiment 2 suggested a more rigid horizontal number line while in vertical condition the number representation could be more flexible. In the experiment 3 we adopted the materials of experiment 2B in order to find a number line effect on temporal (motor) performance. The participants were presented horizontal, vertical, rightdiagonal and left-diagonal lines flanked by the same digits (i.e. 1-1 or 7-7) or by different digits (i.e. 1-7 or 7-1). The digits were spatially congruent or incongruent with their respective hypothesized mental representations. Participants were instructed to touch the lines either close to the large digit, or close to the small digit, or to bisected the lines. Number processing influenced movement execution more than movement planning. Number congruency influenced spatial biases mostly along the horizontal but also along the vertical dimension. These results support a two-dimensional magnitude representation. Finally, the experiment 4 addressed the visuo-spatial manipulation of number representations for accessing and retrieval arithmetic facts. The participants were requested to perform a number-matching and an addition verification tasks. The findings showed an interference effect between sum-nodes and neutral-nodes only with an horizontal presentation of digit-cues, in number-matching tasks. In the addition verification task, the performance was similar for horizontal and vertical presentations of arithmetic problems. In conclusion the data seemed to show an automatic activation of horizontal number line also used to retrieval arithmetic facts. The horizontal number line seemed to be more rigid and the preferred way to order number from left-to-right. A possible explanation could be the left-to-right direction for reading and writing. The vertical number line seemed to be more flexible and more dependent from the tasks, reflecting perhaps several example in the environment representing numbers either from bottom-to-top or from top-to-bottom. However the bottom-to-top number line seemed to be activated by explicit task demands.

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.

The role of proactive coping strategies and perceived health status for Social well-being and life-project in old age.

The latter part of the 20th century was a period characterized by a fundamental demographic transition of western society. This substantial and structural demographic change proposes several challenges to contemporary society and fosters the emergence of new issues and challenges. Among these, none is more crucial than the comprehension of the mechanisms and the processes that lead people to positive aging. Rowe and Kahn’s model of successful aging highlights the interplay between social engagement with life, health, and functioning for a positive aging experience. Other systemic models of successful aging (Kahana et al., 1996; 2003; Stevernik et al., 2006) emphasize the role of internal and external resources for attaining positive aging. Among these, the proactive coping strategies are indicated as important active strategies for avoiding the depletion of resources, counterbalancing the declines and maintaining social and civic involvement. The study has analyzed the role of proactive coping strategies for two facets of positive aging, the experience of a high social well-being and the presence of personal projects in fundamental life domains. As expected, the proactive coping strategies, referred to as the active management of the environment, the accumulation of resources and the actualization of human potentials are confirmed as positive predictors of high level of social well-being and of many personal projects focused on family, culture, leisure time, civic and social participation. Perceived health status give a significant contribution only to the possession of many personal projects. Gender and level of school education give also a significant contribution to these two dimensions of positive aging, highlighting how positive aging is rooted not only in the possession of personal resources, but also in historical models of education and in positive longitudinal chains related to early development.

Silence and writing: the voices that inhabit us (Woolf, Duras, Perec, Celati)

My thesis investigates the forms, modalities and issues related to the notion of 'silence' in the texts and poetics of Virginia Woolf, Marguerite Duras, Georges Perec and Gianni Celati. This study relates to the 20th century European context and is set within the framework of music-literary studies, since silence is an acoustic phenomenon that concerns the whole word, thus also the written word. The material is structured according to a distribution that firstly involves the construction of a methodological framework that employs music-literary studies, the philosophy of language, the aesthetics of reception and psychoanalytic trauma studies; secondly, an analysis of some of the autobiographical works of the mentioned writers was undertaken, with a particular focus on the notion of trauma associated with silence; thirdly, the focus was placed on the theme of silence in the novelistic and fictional writings of the same authors; finally, a reflection on the poetics and aesthetics of silence was proposed. This study, which brings together several perspectives on silence, aims to shed light, through a comparative and transmedial approach, on the necessity of silence that is inherent in the word, and not a phenomenon opposed to it.

Per una semiotica evolutiva dell'apprendimento. Produzione segnica, abduzione ed exaptation nell'accesso alla literacy

Con questa ricerca si intende costruire una semiotica specifica che sia in grado di fare luce sui processi di apprendimento della lettoscrittura durante l’età evolutiva. È un campo di ricerca a cui hanno contribuito numerose discipline: la psicologia e le neuroscienze trattano la lettoscrittura come uno stato cognitivo a cui l’essere umano accede nel corso dello sviluppo individuale, mentre l’archeologia cognitiva e la linguistica considerano lo stesso fenomeno dal punto di vista della filogenesi culturale. Queste stesse discipline possono essere distinte in due categorie a seconda dell’adozione di una prospettiva internalista, in cui lettura e scrittura sono rappresentate come attività compiute dal cervello e dai neuroni, o di una prospettiva distribuita, in cui si tratta di studiare l’evoluzione e la presa in carico delle forme materiali della lingua scritta. Gli strumenti di una semiotica interpretativa e cognitiva consentono di mediare e tradurre tra queste prospettive differenti e rendere ragione del modo in cui l’apprendimento di una pratica culturale socialmente regolata e costruita a partire da forme materiali disponibili, produce profonde modificazioni a livello neurofisiologico, nei vincoli di un’architettura cerebrale che - per quanto plastica - pone divieti e passaggi obbligati. Questa ricerca propone un ruolo centrale della produzione segnica e dell’inferenza abduttiva nei processi di apprendimento, nel processo di acquisizione delle competenze fondamentali dell’emergent literacy (la scoperta del fonema e la phonemic awareness) e, conseguentemente, nei processi di riciclaggio ed exaptation che si danno a livello neurofisiologico.

La costruzione razionale della casa. Scritti e progetti di Giuseppe Pagano

The rational construction of the house. The writings and projects of Giuseppe Pagano Description, themes and research objectives The research aims at analysing the architecture of Giuseppe Pagano, which focuses on the theme of dwelling, through the reading of 3 of his house projects. On the one hand, these projects represent “minor” works not thoroughly known by Pagano’s contemporary critics; on the other they emphasise a particular methodological approach, which serves the author to explore a theme closely linked to his theoretical thought. The house project is a key to Pagano’s research, given its ties to the socio-cultural and political conditions in which the architect was working, so that it becomes a mirror of one of his specific and theoretical path, always in a state of becoming. Pagano understands architecture as a “servant of the human being”, subject to a “utilitarian slavery” since it is a clear, essential and “modest” answer to specific human needs, free from aprioristic aesthetic and formal choices. It is a rational architecture in sensu stricto; it constitutes a perfect synthesis between cause and effect and between function and form. The house needs to accommodate these principles because it is closely intertwined with human needs and intimately linked to a specific place, climatic conditions and technical and economical possibilities. Besides, differently from his public and common masterpieces such as the Palazzo Gualino, the Istituto di Fisica and the Università Commerciale Bocconi, the house projects are representative of a precise project will, which is expressed in a more authentic way, partially freed from political influences and dogmatic preoccupations and, therefore, far from the attempt to research a specific expressive language. I believe that the house project better represents that “ingenuity”, freshness and “sincerity” that Pagano identifies with the minor architecture, thereby revealing a more authentic expression of his understanding of a project. Therefore, the thesis, by tracing the theoretical research of Pagano through the analysis of some of his designed and built works, attempts to identify a specific methodological approach to Pagano’s project, which, developed through time, achieves a certain clarity in the 1930s. In fact, this methodological approach becomes more evident in his last projects, mainly regarding the house and the urban space. These reflect the attempt to respond to the new social needs and, at the same time, they also are an expression of a freer idea of built architecture, closely linked with the place and with the human being who dwells it. The three chosen projects (Villa Colli, La Casa a struttura d’acciaio and Villa Caraccio) make Pagano facing different places, different customers and different economic and technical conditions, which, given the author’s biography, correspond to important historical and political conditions. This is the reason why the projects become apparently distant works, both linguistically and conceptually, to the point that one can define them as ”eclectic”. However, I argue that this eclecticism is actually an added value to the architectural work of Pagano, steaming from the use of a method which, having as a basis the postulate of a rational architecture as essence and logic of building, finds specific variations depending on the multiple variables to be addressed by the project. This is the methodological heritage that Pagano learns from the tradition, especially that of the rural residential architecture, defined by Pagano as a “dictionary of the building logic of man”, as an “a-stylistic background”. For Pagano this traditional architecture is a clear expression of the relationships between a theme and its development, an architectural “fact” that is resolved with purely technical and utilitarian aims and with a spontaneous development far from any aprioristic theoretical principle. Architecture, therefore, cannot be an invention for Pagano and the personal contribution of each architect has to consider his/her close relationship with the specific historical context, place and new building methods. These are basic principles in the methodological approach that drives a great deal of his research and that also permits his thought to be modern. I argue that both ongoing and new collaborations with younger protagonists of the culture and architecture of the period are significant for the development of his methodology. These encounters represent the will to spread his own understanding of the “new architecture” as well as a way of self-renewal by confronting the self with new themes and realities and by learning from his collaborators. Thesis’ outline The thesis is divided in two principal parts, each articulated in four chapters attempting to offer a new reading of the theory and work of Pagano by emphasising the central themes of the research. The first chapter is an introduction to the thesis and to the theme of the rational house, as understood and developed in its typological and technical aspects by Pagano and by other protagonists of the Italian rationalism of the 1930s. Here the attention is on two different aspects defining, according to Pagano, the house project: on the one hand, the typological renewal, aimed at defining a “standard form” as a clear and essential answer to certain needs and variables of the project leading to different formal expressions. On the other, it focuses on the building, understood as a technique to “produce” architecture, where new technologies and new materials are not merely tools but also essential elements of the architectural work. In this way the villa becomes different from the theme of the common house or from that of the minimalist house, by using rules in the choice of material and in the techniques that are every time different depending on the theme under exploration and on the contingency of place. It is also visible the rigorous rationalism that distinguishes the author's appropriation of certain themes of rural architecture. The pages of “Casabella” and the events of the contemporary Triennali form the preliminary material for the writing of this chapter given that they are primary sources to individuate projects and writings produced by Pagano and contemporary architects on this theme. These writings and projects, when compared, reconstruct the evolution of the idea of the rational house and, specifically, of the personal research of Pagano. The second part regards the reading of three of Pagano’s projects of houses as a built verification of his theories. This section constitutes the central part of the thesis since it is aimed at detecting a specific methodological approach showing a theoretical and ideological evolution expressed in the vast edited literature. The three projects that have been chosen explore the theme of the house, looking at various research themes that the author proposes and that find continuity in the affirmation of a specific rationalism, focussed on concepts such as essentiality, utility, functionality and building honesty. These concepts guide the thought and the activities of Pagano, also reflecting a social and cultural period. The projects span from the theme of the villa moderna, Villa Colli, which, inspired by the architecture of North Europe, anticipates a specific rationalism of Pagano based on rigour, simplicity and essentiality, to the theme of the common house, Casa a struttura d’acciaio, la casa del domani, which ponders on the definition of new living spaces and, moreover, on new concepts of standardisation, economical efficiency and new materials responding to the changing needs of the modern society. Finally, the third project returns to the theme of the, Villa Caraccio, revisiting it with new perspectives. These perspectives find in the solution of the open plant, in the openness to nature and landscape and in the revisiting of materials and local building systems that idea of the freed house, which express clearly a new theoretical thought. Methodology It needs to be noted that due to the lack of an official Archive of Pagano’s work, the analysis of his work has been difficult and this explains the necessity to read the articles and the drawings published in the pages of «Casabella» and «Domus». As for the projects of Villa Colli and Casa a struttura d’acciaio, parts of the original drawings have been consulted. These drawings are not published and are kept in private archives of the collaborators of Pagano. The consultation of these documents has permitted the analysis of the cited works, which have been subject to a more complete reading following the different proposed solutions, which have permitted to understand the project path. The projects are analysed thought the method of comparison and critical reading which, specifically, means graphical elaborations and analytical schemes, mostly reconstructed on the basis of original projects but, where possible, also on a photographic investigation. The focus is on the project theme which, beginning with a specific living (dwelling) typology, finds variations because of the historico-political context in which Pagano is embedded and which partially shapes his research and theoretical thought, then translated in the built work. The analysis of the work follows, beginning, where possible, from a reconstruction of the evolution of the project as elaborated on the basis of the original documents and ending on an analysis of the constructive principles and composition. This second phase employs a methodology proposed by Pagano in his article Piante di ville, which, as expected, focuses on the plant as essential tool to identify the “true practical and poetic qualities of the construction”(Pagano, «Costruzioni-Casabella», 1940, p. 2). The reading of the project is integrated with the constructive analyses related to the technical aspects of the house which, in the case of Casa a struttura d’acciaio, play an important role in the project, while in Villa Colli and in Villa Caraccio are principally linked to the choice of materials for the construction of the different architectural elements. These are nonetheless key factors in the composition of the work. Future work could extend this reading to other house projects to deepen the research that could be completed with the consultation of Archival materials, which are missing at present. Finally, in the appendix I present a critical selection of the Pagano’s writings, which recall the themes discussed and embodied by the three projects. The texts have been selected among the articles published in Casabella and in other journals, completing the reading of the project work which cannot be detached from his theoretical thought. Moving from theory to project, we follow a path that brings us to define and deepen the central theme of the thesis: rational building as the principal feature of the architectural research of Pagano, which is paraphrased in multiple ways in his designed and built works.