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

Towards increased productivity and quality in software development using agile, lean and collaborative approaches

Dagens programvaruindustri står inför alltmer komplicerade utmaningar i en värld där programvara är nästan allstädes närvarande i våra dagliga liv. Konsumenten vill ha produkter som är pålitliga, innovativa och rika i funktionalitet, men samtidigt också förmånliga. Utmaningen för oss inom IT-industrin är att skapa mer komplexa, innovativa lösningar till en lägre kostnad. Detta är en av orsakerna till att processförbättring som forskningsområde inte har minskat i betydelse. IT-proffs ställer sig frågan: “Hur håller vi våra löften till våra kunder, samtidigt som vi minimerar vår risk och ökar vår kvalitet och produktivitet?” Inom processförbättringsområdet finns det olika tillvägagångssätt. Traditionella processförbättringsmetoder för programvara som CMMI och SPICE fokuserar på kvalitets- och riskaspekten hos förbättringsprocessen. Mer lättviktiga metoder som t.ex. lättrörliga metoder (agile methods) och Lean-metoder fokuserar på att hålla löften och förbättra produktiviteten genom att minimera slöseri inom utvecklingsprocessen. Forskningen som presenteras i denna avhandling utfördes med ett specifikt mål framför ögonen: att förbättra kostnadseffektiviteten i arbetsmetoderna utan att kompromissa med kvaliteten. Den utmaningen attackerades från tre olika vinklar. För det första förbättras arbetsmetoderna genom att man introducerar lättrörliga metoder. För det andra bibehålls kvaliteten genom att man använder mätmetoder på produktnivå. För det tredje förbättras kunskapsspridningen inom stora företag genom metoder som sätter samarbete i centrum. Rörelsen bakom lättrörliga arbetsmetoder växte fram under 90-talet som en reaktion på de orealistiska krav som den tidigare förhärskande vattenfallsmetoden ställde på IT-branschen. Programutveckling är en kreativ process och skiljer sig från annan industri i det att den största delen av det dagliga arbetet går ut på att skapa något nytt som inte har funnits tidigare. Varje programutvecklare måste vara expert på sitt område och använder en stor del av sin arbetsdag till att skapa lösningar på problem som hon aldrig tidigare har löst. Trots att detta har varit ett välkänt faktum redan i många decennier, styrs ändå många programvaruprojekt som om de vore produktionslinjer i fabriker. Ett av målen för rörelsen bakom lättrörliga metoder är att lyfta fram just denna diskrepans mellan programutvecklingens innersta natur och sättet på vilket programvaruprojekt styrs. Lättrörliga arbetsmetoder har visat sig fungera väl i de sammanhang de skapades för, dvs. små, samlokaliserade team som jobbar i nära samarbete med en engagerad kund. I andra sammanhang, och speciellt i stora, geografiskt utspridda företag, är det mera utmanande att införa lättrörliga metoder. Vi har nalkats utmaningen genom att införa lättrörliga metoder med hjälp av pilotprojekt. Detta har två klara fördelar. För det första kan man inkrementellt samla kunskap om metoderna och deras samverkan med sammanhanget i fråga. På så sätt kan man lättare utveckla och anpassa metoderna till de specifika krav som sammanhanget ställer. För det andra kan man lättare överbrygga motstånd mot förändring genom att introducera kulturella förändringar varsamt och genom att målgruppen får direkt förstahandskontakt med de nya metoderna. Relevanta mätmetoder för produkter kan hjälpa programvaruutvecklingsteam att förbättra sina arbetsmetoder. När det gäller team som jobbar med lättrörliga och Lean-metoder kan en bra uppsättning mätmetoder vara avgörande för beslutsfattandet när man prioriterar listan över uppgifter som ska göras. Vårt fokus har legat på att stöda lättrörliga och Lean-team med interna produktmätmetoder för beslutsstöd gällande så kallad omfaktorering, dvs. kontinuerlig kvalitetsförbättring av programmets kod och design. Det kan vara svårt att ta ett beslut att omfaktorera, speciellt för lättrörliga och Lean-team, eftersom de förväntas kunna rättfärdiga sina prioriteter i termer av affärsvärde. Vi föreslår ett sätt att mäta designkvaliteten hos system som har utvecklats med hjälp av det så kallade modelldrivna paradigmet. Vi konstruerar även ett sätt att integrera denna mätmetod i lättrörliga och Lean-arbetsmetoder. En viktig del av alla processförbättringsinitiativ är att sprida kunskap om den nya programvaruprocessen. Detta gäller oavsett hurdan process man försöker introducera – vare sig processen är plandriven eller lättrörlig. Vi föreslår att metoder som baserar sig på samarbete när processen skapas och vidareutvecklas är ett bra sätt att stöda kunskapsspridning på. Vi ger en översikt över författarverktyg för processer på marknaden med det förslaget i åtanke.

Measuring the performance of corporate events : an empirical study of measuring practices in Finnish companies

Corporate events as an effective part of marketing communications strategy seem to be underestimated in Finnish companies. In the rest of the Europe and the USA, investments in events are increasing, and their share of the marketing budget is significant. The growth of the industry may be explained by the numerous advantages and opportunities that events provide for attendees, such as face-to-face marketing, enhancing corporate image, building relationships, increasing sales, and gathering information. In order to maximize these benefits and return on investment, specific measurement strategies are required, yet there seems to exist a lack of understanding of how event performance should be perceived or evaluated. To address this research gap, this research attempts to describe the perceptions of and strategies for evaluating corporate event performance in the Finnish events industry. First, corporate events are discussed in terms of definitions and characteristics, typologies, and their role in marketing communications. Second, different theories on evaluating corporate event performance are presented and analyzed. Third, a conceptual model is presented based on the literature review, which serves as a basis for the empirical research conducted as an online questionnaire. The empirical findings are to a great extent in line with the existing literature, suggesting that there remains a lack of understanding corporate event performance evaluation, and challenges arise in determining appropriate measurement procedures for it. Setting clear objectives for events is a significant aspect of the evaluation process, since the outcomes of events are usually evaluated against the preset objectives. The respondent companies utilize many of the individual techniques that were recognized in theory, such as calculating the number of sales leads and delegates. However, some of the measurement tools may require further investments and resources, thus restricting their application especially in smaller companies. In addition, there seems to be a lack of knowledge of the most appropriate methods in different contexts, which take into account the characteristics of the organizing party as well as the size and nature of the event. The lack of inhouse expertise enhances the need for third-party service-providers in solving problems of corporate event measurement.

Study of the advancement of innovations in communications industry. Case study: Russian Post Company

This study attempted to provide a project based on the already tested and successful results of foreign business which can help to contain the final price of innovation on desired levels. The research will attempt to dig out most of available information related to aforementioned definitions and thus completing theoretical background. Next author will explain used methodology and the process of evidence collection. After that the study will show the analysis of collected data in order to obtain results which are going to be compared with stated objectives in the final part. The conclusion of the research and proposed possibilities for additional work will be given in the last part. For this study author has chosen the qualitative model because it performs very well for analysis of small scale of data. The case study method was used because it gave author an opportunity to make an in-depth analysis of the collected information about particular organization so it became possible to analyze system's details in comparison. The results have been early considered valid and applicable to other studies. As the result thesis has proposed undertakings which reflect researches aimed on solving problems with provision of services and development of communications. In addition thesis has proposed formulation of database of postal service for Russian Post when (by request) customer possess an account where he or she can access postal services via PC or info table in postal office and order delivery of postal products which will be given private identification code. Project's payoff period has been calculated as well.

Digitaalisen tarinankerronnan hyödyntäminen peruskouluissa

Työn tavoitteena on selvittää, minkälaisia mahdollisuuksia digitaalinen tarinankerronta antaa peruskouluissa. Työssä käsitellään digitaalinen tarinankerronta ja se, miten sitä hyödynnetään opetuksessa. Työn taustana on opetushallituksen laatima opetussuunnitelma 2016. Opetussuunnitelmassa uutena on ohjelmointi, jota käsitellään työssä vähän tarkemmin. Tulevaisuudessa teknologia, kuten koodaus ja robotiikka sekä lisätty todellisuus voivat tukea luovuutta, innovatiivisuutta ja ongelmanratkaisukykyä. Työ on kirjallisuuskatsaus, jossa aihetta analysoidaan lähdekirjallisuuden avulla. Digitaalisella tarinankerronnalla luokkahuoneessa on rajattomat mahdollisuudet. Digitaalinen tarinankerronta tukee uuden opetussuunnitelman tavoitteita. Digitaalisen tarinankerronnan avulla voidaan osallistaa lapset oppimisprosessiin, heidän omia vahvuuksia saadaan esille sekä he pääsevät itse oivaltamaan ja ratkomaan ongelmia. Ohjelmointi, robotiikka ja lisätty todellisuus antavat uusia työkaluja opetukseen. Ohjelmointi on älyllisesti motivoiva ajattelutapa. Teknologian käyttö opetuksessa lisää opiskelumotivaatiota ja yhdessä tekemisen iloa.

The expression and development of teachers' capacities within two learning communities : a participant-observer case study

The learning community model has been an integral component of teacher development in Ontarian schools and beyond. This research was conducted to understand how teachers' personal capacity and professional, interpersonal, and organizational competencies are developed and expressed within this context. Nineteen elementary teachers and administrators participated in the study from November through January 2007. A qualitative case study methodology was used to investigate the role ofteachers' capacities and competencies in learning communities. Combined data sources from semistructured interviews, research journals, and document review were used to gather data about teachers' capacities and competencies. The study included 3 phases of analysis. In the final phase the analysis provided 3 qualities of the teachers at Jude and Mountain Schools (pseudonyms): identification as professionals, investment in others, and institutional affiliation that may explain how they differed from other educators. The data revealed these three themes, which provided an understanding of educators at Jude and Mountain Schools as dedicated professionals pushing practices to contribute to school life and address student learning needs, and as teachers who reflected on practices to continue expanding their skills. Teachers were heavily invested in creating a caring culture and in students' and team members' learning. Educators actively participated in solving problems and coplanning throughout the school levels and beyond, assumed collective responsibility for all pupils, and focused on generating school-wide consistent practices. These qualities and action patterns revealed teachers who invested time and effort in their colleagues, who committed to develop as professionals, and who affiliated closely with every aspect of school living.

Acculturation institutionnelle du chercheur, de l’enseignant et des élèves de 1re secondaire présentant des difficultés d’apprentissage dans la conception et la gestion de situations-problèmes impliquant des nombres rationnels

Notre recherche s’intéresse à la transformation des rapports aux nombres rationnels d’élèves de 1re secondaire présentant des difficultés d’apprentissage. Comme le montrent plusieurs recherches, le défi majeur auquel sont confrontés les enseignants, ainsi que les chercheurs, est de ne pas s’enliser dans le cercle vicieux d’une réduction des enjeux de l’apprentissage des nombres rationnels et des possibilités d’apprentissage de l’élève en difficultés d’apprentissage, cet élève n’ayant pas ainsi la chance de mettre à l’épreuve ses connaissances, d’oser s’engager dans une démarche de construction de connaissances et d’apprécier les effets de son engagement cognitif. Afin de relever ce défi, nous avons misé sur l’intégration harmonieuse de situations problèmes. Il nous a semblé que, dans une démarche d’acculturation, l’approche écologique soit tout indiquée pour penser une «dé-transposition/re-transposition didactique» (Antibi et Brousseau, 2000) et reconstruire une mémoire porteuse d’espoirs (Brousseau et Centeno, 1998). Notre recherche vise à: 1) caractériser la progression des démarches d’acculturation institutionnelle de l’enseignant, du chercheur et des élèves et leurs effets sur les processus d’élaboration et de gestion des situations d’enseignement; 2) préciser l’évolution des connaissances, des habitus et des rapports des élèves aux nombres rationnels. Notre intégration en classe, d’une durée de 6 mois, nous a permis d’apprécier les effets du processus d’acculturation. Nous avons noté des changements importants dans la topogénèse et la chronogénèse des savoirs (Mercier, 1995); alors qu’à notre entrée, l’enseignante adoptait la démarche suivante, soit effectuer un exposé des savoirs et des démarches que les élèves devaient consigner dans leurs notes de cours, afin de pouvoir par la suite s’y référer pour effectuer des exercices et résoudre des problèmes, elle modifiait progressivement cette démarche en proposant des problèmes qui pouvaient permettre aux élèves de coordonner diverses connaissances et de construire ainsi des savoirs auxquels ils pouvaient faire référence dans la construction de leurs notes de cours qu’ils pouvaient par la suite consulter pour effectuer divers exercices. Nous avons également pu apprécier les effets de l’intégration de diverses représentations des nombres rationnels sur l’avancée du temps didactique (Mercier, 1995) et la transformation des rapports et habitus des élèves aux nombres rationnels (Bourdieu, 1980). Ces changements se sont manifestés, entre autres, par : a) un investissement important lors de situations complexes; b) l’adoption de pratiques mathématiques plus attentives aux données numériques et aux relations entre ces données; c) l’apparition de conduites « inusitées » [ex. coordination de divers registres sémiotiques,exploitation de compositions additives/multiplicatives et d’écritures non conventionnelles]. De telles conduites sont similaires à celles observées dans plusieurs recherches effectuées auprès d’une population d’élèves qui ne présentent pas de difficultés d’apprentissage (Moss et Case, 1999). Les résultats de notre recherche soutiennent donc l’importance indéniable de considérer les élèves en difficultés comme étant mathématiquement compétents, comme le soulignent Empson (2003) et Houssart (2002). Il nous semble enfin important de souligner que le travail sur la représentation des nombres rationnels a constitué une niche particulièrement fertile, pour un travail fondamental sur les nombres rationnels, travail qui puisse permettre aux élèves de poursuivre plus harmonieusement leurs apprentissages, les nombres rationnels étant des objets de savoir incontournables.

Una secuencia didáctica para un concepto unificador en un curso de álgebra lineal de un programa de formación a la ingeniería

L’introduction aux concepts unificateurs dans l’enseignement des mathématiques privilégie typiquement l’approche axiomatique. Il n’est pas surprenant de constater qu’une telle approche tend à une algorithmisation des tâches pour augmenter l’efficacité de leur résolution et favoriser la transparence du nouveau concept enseigné (Chevallard, 1991). Cette réponse classique fait néanmoins oublier le rôle unificateur du concept et n’encourage pas à l’utilisation de sa puissance. Afin d’améliorer l’apprentissage d’un concept unificateur, ce travail de thèse étudie la pertinence d’une séquence didactique dans la formation d’ingénieurs centrée sur un concept unificateur de l’algèbre linéaire: la transformation linéaire (TL). La notion d’unification et la question du sens de la linéarité sont abordées à travers l’acquisition de compétences en résolution de problèmes. La séquence des problèmes à résoudre a pour objet le processus de construction d’un concept abstrait (la TL) sur un domaine déjà mathématisé, avec l’intention de dégager l’aspect unificateur de la notion formelle (Astolfi y Drouin, 1992). À partir de résultats de travaux en didactique des sciences et des mathématiques (Dupin 1995; Sfard 1991), nous élaborons des situations didactiques sur la base d’éléments de modélisation, en cherchant à articuler deux façons de concevoir l’objet (« procédurale » et « structurale ») de façon à trouver une stratégie de résolution plus sûre, plus économique et réutilisable. En particulier, nous avons cherché à situer la notion dans différents domaines mathématiques où elle est applicable : arithmétique, géométrique, algébrique et analytique. La séquence vise à développer des liens entre différents cadres mathématiques, et entre différentes représentations de la TL dans les différents registres mathématiques, en s’inspirant notamment dans cette démarche du développement historique de la notion. De plus, la séquence didactique vise à maintenir un équilibre entre le côté applicable des tâches à la pratique professionnelle visée, et le côté théorique propice à la structuration des concepts. L’étude a été conduite avec des étudiants chiliens en formation au génie, dans le premier cours d’algèbre linéaire. Nous avons mené une analyse a priori détaillée afin de renforcer la robustesse de la séquence et de préparer à l’analyse des données. Par l’analyse des réponses au questionnaire d’entrée, des productions des équipes et des commentaires reçus en entrevus, nous avons pu identifier les compétences mathématiques et les niveaux d’explicitation (Caron, 2004) mis à contribution dans l’utilisation de la TL. Les résultats obtenus montrent l’émergence du rôle unificateur de la TL, même chez ceux dont les habitudes en résolution de problèmes mathématiques sont marquées par une orientation procédurale, tant dans l’apprentissage que dans l’enseignement. La séquence didactique a montré son efficacité pour la construction progressive chez les étudiants de la notion de transformation linéaire (TL), avec le sens et les propriétés qui lui sont propres : la TL apparaît ainsi comme un moyen économique de résoudre des problèmes extérieurs à l’algèbre linéaire, ce qui permet aux étudiants d’en abstraire les propriétés sous-jacentes. Par ailleurs, nous avons pu observer que certains concepts enseignés auparavant peuvent agir comme obstacles à l’unification visée. Cela peut ramener les étudiants à leur point de départ, et le rôle de la TL se résume dans ces conditions à révéler des connaissances partielles, plutôt qu’à guider la résolution.

GABA and 5-HT chitosan nanoparticles enhanced liver cell proliferation and neuronal survival in partially hepatectomised rats: GABAB and 5-HT2A receptors functional

Nanoparticulate drug delivery systems provide wide opportunities for solving problems associated with drug stability or disease states and create great expectations in the area of drug delivery (Bosselmann & Williams, 2012). Nanotechnology, in a simple way, explains the technology that deals with one billionth of a meter scale (Ochekpe, et al., 2009). Fewer side effects, poor bioavailability, absorption at intestine, solubility, specific delivery to site of action with good pharmacological efficiency, slow release, degradation of drug and effective therapeutic outcome, are the major challenges faced by most of the drug delivery systems. To a great extent, biopolymer coated drug delivery systems coupled with nanotechnology alleviate the major drawbacks of the common delivery methods. Chitosan, deacetylated chitin, is a copolymer of β-(1, 4) linked glucosamine (deacetylated unit) and N- acetyl glucosamine (acetylated unit) (Radhakumary et al., 2005). Chitosan is biodegradable, non-toxic and bio compatible. Owing to the removal of acetyl moieties that are present in the amine functional groups of chitin, chitosan is readily soluble in aqueous acidic solution. The solubilisation occurs through the protonation of amino groups on the C-2 position of D-glucosamine residues whereby polysaccharide is converted into polycation in acidic media. Chitosan interacts with many active compounds due to the presence of amine group in it. The presence of this active amine group in chitosan was exploited for the interaction with the active molecules in the present study. Nanoparticles of chitosan coupled drugs are utilized for drug delivery in eye, brain, liver, cancer tissues, treatment of spinal cord injury and infections (Sharma et al., 2007; Li, et a., 2009; Paolicelli et al., 2009; Cho et al., 2010). To deliver drugs directly to the intended site of action and to improve pharmacological efficiency by minimizing undesired side effects elsewhere in the body and decrease the long-term use of many drugs, polymeric drug delivery systems can be used (Thatte et al., 2005).

Autonomía y relaciones internacionales: un análisis de las propuestas desarrolladas en América Latina

Una gran parte de la producción académica desarrollada en América Latina desde la disciplina de las relaciones internacionales y, en particular, desde el campo de la política exterior, se ha concentrado en la autonomía. En efecto, reconocidos académicos se han aproximado a este concepto utilizando diversos enfoques teóricos en la búsqueda de su posible aplicación a la realidad latinoamericana. Este artículo pretende estudiar las principales propuestas de autonomía; para tal fin se utilizan las herramientas analíticas que proporciona la discusión entre racionalistas y reflectivistas. Este debate se remonta a los aspectos más profundos del proceso de elaboración del conocimiento, el método y la visión de mundo. Aquello que subyace a los supuestos o premisas de toda teoría y que la sostiene de principio a fin. La intención de ello es superar las reflexiones tradicionales que se enfocan en clasificar dichas nociones en virtud de su afiliación teórica o alrededor de supuestos similares. De esta manera, se presenta un estado del arte con una nueva perspectiva analítica que desnuda y cuestiona nuestra forma tradicional de comprender la realidad internacional. Lo anterior permite descubrir los efectos de adoptar métodos y visiones de mundo específicas para resolver problemas que revisten una enorme complejidad y que exigen ampliar el espectro analítico y teórico para su solución.-----A major portion of the academic production developed in Latin America by the international affairs discipline and, in particular, by the foreign policy field, has focused on the autonomy. Indeed, renowned scholars have approached this concept by using different theoretical methods in search of the potential application to the Latin American reality. The article intends to study the main autonomy proposals, using the analytic tools provided by the discussion between rationalists and reflectivists. This debate addresses the deepest aspects of the knowledge creation, the method and the world vision; what underlies the assumptions or premises of any theory and supports it from end to end. The purpose is to overcome the traditional thoughts focused on classifying such notions according to their theoretical affiliations or around similar assumptions. In this way, a state-of-the-art is submitted with a new analytic perspective, which unveils and challenges our traditional way of understanding the international reality. The foregoing allows finding out the effects of adopting methods and world visions specific for solving problems of huge complexity which demand the expansion of the analytical and theoretical spectrum for such purpose.

Análisis de la amenaza de Corea del Norte en la modificación de políticas de Seguridad y Defensa de Japón (2003-2013)

La presente investigación tiene como objetivo analizar cómo desde 2003 las acciones militares de Corea de Norte han modificado las políticas de Seguridad y Defensa del Estado japonés, llevándolo a aumentar su poder militar mediante el fortalecimiento de sus fuerzas de auto-defensa. A su vez, se estudiará cómo la amenaza norcoreana ha creado dentro del gobierno nipón la idea de un ejército ofensivo y la utilización de la energía nuclear con fines armamentistas, sin cambiar su objetivo pacifista para la solución de controversias. Se utilizarán las teorías constructivista y de los complejos regionales de seguridad con el fin de ver cómo se fue construyendo la amenaza que hoy representa Corea del Norte a la Seguridad de Japón, y entender las dinámicas en materia de seguridad que se dan entre los dos Estados mencionados.

How can strategic philanthropy contribute to innovation for companies

This investigation proposes to explore the existing link between a strategic conception of philanthropy and innovation. Indeed, the nature of the research question relies on an unexplored field in the CSR and Innovation management academic literature. It starts with the interest to know which the benefits are for a firm encouraged to invest strategically in philanthropy. In this regard, the analysis contributes in fitting this gap by following different objectives in an exploratory perspective. Throughout the research it will be analyzed the concept and the current and past contributions on the different branches of innovation (product innovation, managerial innovation, technological innovation), to accentuate the relation between an accurate strategic approach to philanthropy and the impact on the organizational value. Indeed, analyzing philanthropic innovation may provide insights about business opportunities and notions related to social investments and profit. That aspect includes the link between those strategic decisions that a firm can use to maximize those investments as it was part of their core business. It also proves the existing link between CSR and innovation, and the possibilities that the enterprises have towards this subject.

Optimal management of natural resources. Accounting for heterogeneity

Dynamic optimization methods have become increasingly important over the last years in economics. Within the dynamic optimization techniques employed, optimal control has emerged as the most powerful tool for the theoretical economic analysis. However, there is the need to advance further and take account that many dynamic economic processes are, in addition, dependent on some other parameter different than time. One can think of relaxing the assumption of a representative (homogeneous) agent in macro- and micro-economic applications allowing for heterogeneity among the agents. For instance, the optimal adaptation and diffusion of a new technology over time, may depend on the age of the person that adopted the new technology. Therefore, the economic models must take account of heterogeneity conditions within the dynamic framework. This thesis intends to accomplish two goals. The first goal is to analyze and revise existing environmental policies that focus on defining the optimal management of natural resources over time, by taking account of the heterogeneity of environmental conditions. Thus, the thesis makes a policy orientated contribution in the field of environmental policy by defining the necessary changes to transform an environmental policy based on the assumption of homogeneity into an environmental policy which takes account of heterogeneity. As a result the newly defined environmental policy will be more efficient and likely also politically more acceptable since it is tailored more specifically to the heterogeneous environmental conditions. Additionally to its policy orientated contribution, this thesis aims making a methodological contribution by applying a new optimization technique for solving problems where the control variables depend on two or more arguments --- the so-called two-stage solution approach ---, and by applying a numerical method --- the Escalator Boxcar Train Method --- for solving distributed optimal control problems, i.e., problems where the state variables, in addition to the control variables, depend on two or more arguments. Chapter 2 presents a theoretical framework to determine optimal resource allocation over time for the production of a good by heterogeneous producers, who generate a stock externalit and derives government policies to modify the behavior of competitive producers in order to achieve optimality. Chapter 3 illustrates the method in a more specific context, and integrates the aspects of quality and time, presenting a theoretical model that allows to determine the socially optimal outcome over time and space for the problem of waterlogging in irrigated agricultural production. Chapter 4 of this thesis concentrates on forestry resources and analyses the optimal selective-logging regime of a size-distributed forest.

Efficient evaluation of highly oscillatory acoustic scattering surface integrals

We consider the approximation of some highly oscillatory weakly singular surface integrals, arising from boundary integral methods with smooth global basis functions for solving problems of high frequency acoustic scattering by three-dimensional convex obstacles, described globally in spherical coordinates. As the frequency of the incident wave increases, the performance of standard quadrature schemes deteriorates. Naive application of asymptotic schemes also fails due to the weak singularity. We propose here a new scheme based on a combination of an asymptotic approach and exact treatment of singularities in an appropriate coordinate system. For the case of a spherical scatterer we demonstrate via error analysis and numerical results that, provided the observation point is sufficiently far from the shadow boundary, a high level of accuracy can be achieved with a minimal computational cost.

Use of social network analysis to indentify the coopetition in a commercial cluster plan

The cluster provides a greater commercial relationship between the companies that comprise it. This encourages companies to adopt competitive structures that allow solving problems that would hardly alone (Lubeck et. Al., 2011). With that this paper aims to describe the coopetition between companies operating on a commercial cluster planned, from the point of view of retailers, taking as a basis the theoretical models proposed by Bengtsson and Kock (1999) and Leon (2005) and operationalized by means of Social Network Analysis (SNA). Data collection consisted of two phases, the first exploratory aspect to identify the actors, and the second was characterized as descriptive as it aims to describe the coopetition among the enterprises. As a result we identified the companies that cooperate and compete simultaneously (coopetition), firms that only compete, companies just cooperate and businesses that do not compete and do not cooperate (coexistence)