Matematiikan opetuksen virtuaaliympäristöjen pedagoginen käyttö

Tämän kandityön tarkoituksena on selvittää ja kehittää Lappeenrannan teknillisen yliopiston sovelletun matematiikan laitoksella luotua virtuaalimateriaalin käyttöä eri kohderyhmille sopivaksi sekä käyttäjäystävällisemmäksi. Matematiikan virtuaalimateriaali on luotu tukemaan lähiopetusta matematiikan perusopetuksessa. Matematiikan virtuaalimateriaalin hallintaympäristöä on kehitetty vuodesta 2001. Järjestelmää sekä sen opiskelumateriaalia on kehitetty opettajien ja opiskelijoiden avulla. Järjestelmä kattaa teknillisen yliopiston eri osastojen matematiikan peruskurssien materiaalit. Sen käytöllä opettajat voivat hankkia itselleen lisää aikaa opetuksen suunnitteluun materiaalin luomisen nopeutuessa, koska opetusmateriaali voidaan nopeasti kasata valmiista tehtävistä ja teoriaosioista. Opiskelijoiden kannalta hyvätasoinen oppimateriaali on jatkuvasti saatavilla ja sen avulla on myös helppo opiskella hyvien hakutoimintojen ansiosta.

Some of the challenges and experiences of formal education in a Mobile-Centric Society (MCS) = Algunos retos y experiencias de la educación formal en la Sociedad Móvil-Céntrica (SMC)

The aim of the paper is to describe some of the challenges faced by schools, or by formal education in general, as a consequence of today"s mobilecentric society (henceforth MCS), the term we will use to denote the new, networked learning ecology that has arisen from the massive penetration of digital media in everyday life. After revisiting some of the ideas of McLuhan and Vygotsky in the light of this new technological scenario, we describe five traits of the MCS and the challenges illustrated through educational practices that we believe schools will face if they wish to preserve their function of individualization and socialization. We believe that despite the emergence of the MCS, the main function of the school is still to provide the"box of tools" (a set of psychological instruments, such as reading, writing, mathematical notation, digital literacy, etc.) that enables people to develop their learning skills and life projects and to become part of communities and groups. However, the complexity and mobility of the new learning environments means that the position held by schools needs to be reevaluated in the face of the informal learning paths and experiences both online and offline to which learners now have access. We also need to reevaluate the meaning of the school itself as an institution and the model of learner it should be training

Selective catalytic reduction of nitrogen oxides with ammonia in forced unsteady state reactors - Case based reasoning and mathematical model simulation reasoning

The application of forced unsteady-state reactors in case of selective catalytic reduction of nitrogen oxides (NOx) with ammonia (NH3) is sustained by the fact that favorable temperature and composition distributions which cannot be achieved in any steady-state regime can be obtained by means of unsteady-state operations. In a normal way of operation the low exothermicity of the selective catalytic reduction (SCR) reaction (usually carried out in the range of 280-350°C) is not enough to maintain by itself the chemical reaction. A normal mode of operation usually requires supply of supplementary heat increasing in this way the overall process operation cost. Through forced unsteady-state operation, the main advantage that can be obtained when exothermic reactions take place is the possibility of trapping, beside the ammonia, the moving heat wave inside the catalytic bed. The unsteady state-operation enables the exploitation of the thermal storage capacity of the catalyticbed. The catalytic bed acts as a regenerative heat exchanger allowing auto-thermal behaviour when the adiabatic temperature rise is low. Finding the optimum reactor configuration, employing the most suitable operation model and identifying the reactor behavior are highly important steps in order to configure a proper device for industrial applications. The Reverse Flow Reactor (RFR) - a forced unsteady state reactor - corresponds to the above mentioned characteristics and may be employed as an efficient device for the treatment of dilute pollutant mixtures. As a main disadvantage, beside its advantages, the RFR presents the 'wash out' phenomena. This phenomenon represents emissions of unconverted reactants at every switch of the flow direction. As a consequence our attention was focused on finding an alternative reactor configuration for RFR which is not affected by the incontrollable emissions of unconverted reactants. In this respect the Reactor Network (RN) was investigated. Its configuration consists of several reactors connected in a closed sequence, simulating a moving bed by changing the reactants feeding position. In the RN the flow direction is maintained in the same way ensuring uniformcatalyst exploitation and in the same time the 'wash out' phenomena is annulated. The simulated moving bed (SMB) can operate in transient mode giving practically constant exit concentration and high conversion levels. The main advantage of the reactor network operation is emphasizedby the possibility to obtain auto-thermal behavior with nearly uniformcatalyst utilization. However, the reactor network presents only a small range of switching times which allow to reach and to maintain an ignited state. Even so a proper study of the complex behavior of the RN may give the necessary information to overcome all the difficulties that can appear in the RN operation. The unsteady-state reactors complexity arises from the fact that these reactor types are characterized by short contact times and complex interaction between heat and mass transportphenomena. Such complex interactions can give rise to a remarkable complex dynamic behavior characterized by a set of spatial-temporal patterns, chaotic changes in concentration and traveling waves of heat or chemical reactivity. The main efforts of the current research studies concern the improvement of contact modalities between reactants, the possibility of thermal wave storage inside the reactor and the improvement of the kinetic activity of the catalyst used. Paying attention to the above mentioned aspects is important when higher activity even at low feeding temperatures and low emissions of unconverted reactants are the main operation concerns. Also, the prediction of the reactor pseudo or steady-state performance (regarding the conversion, selectivity and thermal behavior) and the dynamicreactor response during exploitation are important aspects in finding the optimal control strategy for the forced unsteady state catalytic tubular reactors. The design of an adapted reactor requires knowledge about the influence of its operating conditions on the overall process performance and a precise evaluation of the operating parameters rage for which a sustained dynamic behavior is obtained. An apriori estimation of the system parameters result in diminution of the computational efforts. Usually the convergence of unsteady state reactor systems requires integration over hundreds of cycles depending on the initial guess of the parameter values. The investigation of various operation models and thermal transfer strategies give reliable means to obtain recuperative and regenerative devices which are capable to maintain an auto-thermal behavior in case of low exothermic reactions. In the present research work a gradual analysis of the SCR of NOx with ammonia process in forced unsteady-state reactors was realized. The investigation covers the presentationof the general problematic related to the effect of noxious emissions in the environment, the analysis of the suitable catalysts types for the process, the mathematical analysis approach for modeling and finding the system solutions and the experimental investigation of the device found to be more suitable for the present process. In order to gain information about the forced unsteady state reactor design, operation, important system parameters and their values, mathematical description, mathematicalmethod for solving systems of partial differential equations and other specific aspects, in a fast and easy way, and a case based reasoning (CBR) approach has been used. This approach, using the experience of past similarproblems and their adapted solutions, may provide a method for gaining informations and solutions for new problems related to the forced unsteady state reactors technology. As a consequence a CBR system was implemented and a corresponding tool was developed. Further on, grooving up the hypothesis of isothermal operation, the investigation by means of numerical simulation of the feasibility of the SCR of NOx with ammonia in the RFRand in the RN with variable feeding position was realized. The hypothesis of non-isothermal operation was taken into account because in our opinion ifa commercial catalyst is considered, is not possible to modify the chemical activity and its adsorptive capacity to improve the operation butis possible to change the operation regime. In order to identify the most suitable device for the unsteady state reduction of NOx with ammonia, considering the perspective of recuperative and regenerative devices, a comparative analysis of the above mentioned two devices performance was realized. The assumption of isothermal conditions in the beginningof the forced unsteadystate investigation allowed the simplification of the analysis enabling to focus on the impact of the conditions and mode of operation on the dynamic features caused by the trapping of one reactant in the reactor, without considering the impact of thermal effect on overall reactor performance. The non-isothermal system approach has been investigated in order to point out the important influence of the thermal effect on overall reactor performance, studying the possibility of RFR and RN utilization as recuperative and regenerative devices and the possibility of achieving a sustained auto-thermal behavior in case of lowexothermic reaction of SCR of NOx with ammonia and low temperature gasfeeding. Beside the influence of the thermal effect, the influence of the principal operating parameters, as switching time, inlet flow rate and initial catalyst temperature have been stressed. This analysis is important not only because it allows a comparison between the two devices and optimisation of the operation, but also the switching time is the main operating parameter. An appropriate choice of this parameter enables the fulfilment of the process constraints. The level of the conversions achieved, the more uniform temperature profiles, the uniformity ofcatalyst exploitation and the much simpler mode of operation imposed the RN as a much more suitable device for SCR of NOx with ammonia, in usual operation and also in the perspective of control strategy implementation. Theoretical simplified models have also been proposed in order to describe the forced unsteady state reactors performance and to estimate their internal temperature and concentration profiles. The general idea was to extend the study of catalytic reactor dynamics taking into account the perspectives that haven't been analyzed yet. The experimental investigation ofRN revealed a good agreement between the data obtained by model simulation and the ones obtained experimentally.

A mathematical study of fuzzy logic; an algebraic approach

Fuzzy set theory and Fuzzy logic is studied from a mathematical point of view. The main goal is to investigatecommon mathematical structures in various fuzzy logical inference systems and to establish a general mathematical basis for fuzzy logic when considered as multi-valued logic. The study is composed of six distinct publications. The first paper deals with Mattila'sLPC+Ch Calculus. THis fuzzy inference system is an attempt to introduce linguistic objects to mathematical logic without defining these objects mathematically.LPC+Ch Calculus is analyzed from algebraic point of view and it is demonstratedthat suitable factorization of the set of well formed formulae (in fact, Lindenbaum algebra) leads to a structure called ET-algebra and introduced in the beginning of the paper. On its basis, all the theorems presented by Mattila and many others can be proved in a simple way which is demonstrated in the Lemmas 1 and 2and Propositions 1-3. The conclusion critically discusses some other issues of LPC+Ch Calculus, specially that no formal semantics for it is given.In the second paper the characterization of solvability of the relational equation RoX=T, where R, X, T are fuzzy relations, X the unknown one, and o the minimum-induced composition by Sanchez, is extended to compositions induced by more general products in the general value lattice. Moreover, the procedure also applies to systemsof equations. In the third publication common features in various fuzzy logicalsystems are investigated. It turns out that adjoint couples and residuated lattices are very often present, though not always explicitly expressed. Some minor new results are also proved.The fourth study concerns Novak's paper, in which Novak introduced first-order fuzzy logic and proved, among other things, the semantico-syntactical completeness of this logic. He also demonstrated that the algebra of his logic is a generalized residuated lattice. In proving that the examination of Novak's logic can be reduced to the examination of locally finite MV-algebras.In the fifth paper a multi-valued sentential logic with values of truth in an injective MV-algebra is introduced and the axiomatizability of this logic is proved. The paper developes some ideas of Goguen and generalizes the results of Pavelka on the unit interval. Our proof for the completeness is purely algebraic. A corollary of the Completeness Theorem is that fuzzy logic on the unit interval is semantically complete if, and only if the algebra of the valuesof truth is a complete MV-algebra. The Compactness Theorem holds in our well-defined fuzzy sentential logic, while the Deduction Theorem and the Finiteness Theorem do not. Because of its generality and good-behaviour, MV-valued logic can be regarded as a mathematical basis of fuzzy reasoning. The last paper is a continuation of the fifth study. The semantics and syntax of fuzzy predicate logic with values of truth in ana injective MV-algerba are introduced, and a list of universally valid sentences is established. The system is proved to be semanticallycomplete. This proof is based on an idea utilizing some elementary properties of injective MV-algebras and MV-homomorphisms, and is purely algebraic.

Let's share perspectives! Mentalistic skills involved in cooperation = ¿A tu Izquierda o a la Mía? Habilidades Mentalistas Implicadas en la Cooperación

Previous research has found a link between theory of mind and cooperation. The aim of this study is to deepen into this relationship, to identify which theory of mind skills are more related to the cooperative capacity on a referential communication task. A total of 50 children from first and fifth grade completed a battery of theory of mind tasks, and also a cooperative task where children worked in pairs to build block models. Each pair was composed by a builder and a guide, who gave instructions to his partner about how to build a replica of the model. The results show a significant relationship between the theory of mind skills and cooperation. Specifically, we found that the second-order false-belief task was the variable most related to cooperation after controlling the effect of age. In addition, we observed that the mentalist skills were more important for cooperation in the builders than in the guides. Finally, we discuss the findings of this study and make suggestions for the future

Relació entre la lateralitat i els aprenentatges escolars

Hi ha molts autors que relacionen els problemes d’aprenentatge d’un nen amb la seva lateralitat, i que atribueixen a la lateralitat contrariada, creuada o no definida els problemes en l’adquisició, entre altres, d’habilitats lectoescriptores. En aquest treball hem passat un test de lateralitat a 170 nens d’entre 6 i 7 anys (primer i segon de primària) amb proves de membre superior, membre inferior i ull, igual com de discriminació de dreta-esquerra i d’orientació espacial. Alhora, els professors tutors han valorat diversos ítems de l’aprenentatge escolar dels nens, amb qüestions sobre la seva comprensió lectora, el seu raonament matemàtic i la seva atenció a classe, entre d’altres. Segons els nostres resultats, els nens amb lateralitat homogènia destra són els que obtenen millors valoracions a tots els ítems d’aprenentatge respecte als homogenis esquerrans, els creuats i els no confirmats; els pocs casos que tenim d’homogenis esquerrans (un 3 % de la mostra) són els que tenen pitjors valoracions. A més a més, els nens que discriminen entre dreta i esquerra també tenen millors aprenentatges que no pas els que no ho fan; també s’orienten bé en l’espai en relació als que s’orienten malament.

Relación entre la lateralidad y los aprendizajes escolares

Muchos son los autores que relacionan los problemas de aprendizaje de un niño con su lateralidad, achacando a la lateralidad contrariada, cruzada o no definida los problemas en la adquisición, entre otras, de habilidades lecto-escritoras. En el presente trabajo hemos pasado un test de lateralidad a 170 niños de entre 6 y 7 años (primero y segundo de primaria) con pruebas de miembro superior, miembro inferior y ojo, así como de discriminación de derecha-izquierda y de orientación espacial. A su vez, los profesores tutores han valorado varios ítems del aprendizaje escolar de los niños, con cuestiones sobre su comprensión lectora, su razonamiento matemático y su atención en clase, entre otras. Según nuestros resultados, los niños con lateralidad homogénea diestra son los que obtienen mejores valoraciones en todos los ítems de aprendizaje con respecto a los homogéneos zurdos, los cruzados y los no confirmados, siendo los pocos casos que tenemos de homogéneos zurdos (un 3% de la muestra) los que tienen peores valoraciones. Además, los niños que discriminan entre derecha e izquierda también tienen mejor sus aprendizajes con respecto a los que no lo hacen, así como los que se orientan bien en el espacio con respecto a los que se orientan mal.

Improving Information Problem Solving skills in Secondary Education through embedded instruction

This empirical study consists in an investigation of the effects, on the development of Information Problem Solving (IPS) skills, of a long-term embedded, structured and supported instruction in Secondary Education. Forty secondary students of 7th and 8th grades (13–15 years old) participated in the 2-year IPS instruction designed in this study. Twenty of them participated in the IPS instruction, and the remaining twenty were the control group. All the students were pre- and post-tested in their regular classrooms, and their IPS process and performance were logged by means of screen capture software, to warrant their ecological validity. The IPS constituent skills, the web search sub-skills and the answers given by each participant were analyzed. The main findings of our study suggested that experimental students showed a more expert pattern than the control students regarding the constituent skill ‘defining the problem’ and the following two web search sub-skills: ‘search terms’ typed in a search engine, and ‘selected results’ from a SERP. In addition, scores of task performance were statistically better in experimental students than in control group students. The paper contributes to the discussion of how well-designed and well-embedded scaffolds could be designed in instructional programs in order to guarantee the development and efficiency of the students’ IPS skills by using net information better and participating fully in the global knowledge society.

Promoting Metacognitive Skills in a CSCL environment: implications for instructional and technology design

This paper aims to better understand the development of students’ learning processes when participating actively in a specific Computer Supported Collaborative Learning system called KnowCat. To this end, a longitudinal case study was designed, in which eighteen university students took part in a 12-month (two semesters) learning project. During this time period, the students followed an instructional process, using some elements of KnowCat (KnowCat key features) design to support and improve their interaction processes, especially peer learning processes. Our research involved both supervising the students’ collaborative learning processes throughout the learning project and focusing our analysis on the qualitative evolution of the students’ interaction processes and on the development of metacognitive learning processes. The results of the current research reveal that the instructional application of the CSCL-KnowCat system may favour and improve the development of the students’ metacognitive learning processes. Additionally, the implications of the design of computer supported collaborative learning networks and pedagogical issues are discussed in this paper.

Entrepreneurial skills and over-education five years later. A comparison between Spain and the Netherlands

[cat] El fenòmen de la sobre-educació és freqüent i persistent a molts països. En aquest article estudiem el paper de les habilitats emprenedores en evitar la sobre-educació a la primera feina, i en sortir d’una situació de sobre-educació cinc anys després. Comparem els resultats d’Espanya i Holanda, dos països que difereixen en el seu sistema educatiu i mercat de treball. Els resultats mostren que les habilitats emprenedores ajuden a evitar i/o sortir de la sobre-educació només a Espanya, on el sistema educatiu és més flexible i menys vinculat amb el mercat de treball. En general, els nostres resultats recolzen les polítiques que promocionen el desenvolupament d’habilitats emprenedores al sistema educatiu espanyol.

Entrepreneurial skills and over-education five years later. A comparison between Spain and the Netherlands

[cat] El fenòmen de la sobre-educació és freqüent i persistent a molts països. En aquest article estudiem el paper de les habilitats emprenedores en evitar la sobre-educació a la primera feina, i en sortir d’una situació de sobre-educació cinc anys després. Comparem els resultats d’Espanya i Holanda, dos països que difereixen en el seu sistema educatiu i mercat de treball. Els resultats mostren que les habilitats emprenedores ajuden a evitar i/o sortir de la sobre-educació només a Espanya, on el sistema educatiu és més flexible i menys vinculat amb el mercat de treball. En general, els nostres resultats recolzen les polítiques que promocionen el desenvolupament d’habilitats emprenedores al sistema educatiu espanyol.

Improving Pitch Tracking Performance in Hard Noise Conditions by a Preprocessing Based on Mathematical Morphology

In this paper we show how a nonlinear preprocessing of speech signal -with high noise- based on morphological filters improves the performance of robust algorithms for pitch tracking (RAPT). This result happens for a very simple morphological filter. More sophisticated ones could even improve such results. Mathematical morphology is widely used in image processing and has a great amount of applications. Almost all its formulations derived in the two-dimensional framework are easily reformulated to be adapted to one-dimensional context

Structural Brain Connectivity in School-Age Preterm Infants Provides Evidence for Impaired Networks Relevant for Higher Order Cognitive Skills and Social Cognition.

Extreme prematurity and pregnancy conditions leading to intrauterine growth restriction (IUGR) affect thousands of newborns every year and increase their risk for poor higher order cognitive and social skills at school age. However, little is known about the brain structural basis of these disabilities. To compare the structural integrity of neural circuits between prematurely born controls and children born extreme preterm (EP) or with IUGR at school age, long-ranging and short-ranging connections were noninvasively mapped across cortical hemispheres by connection matrices derived from diffusion tensor tractography. Brain connectivity was modeled along fiber bundles connecting 83 brain regions by a weighted characterization of structural connectivity (SC). EP and IUGR subjects, when compared with controls, had decreased fractional anisotropy-weighted SC (FAw-SC) of cortico-basal ganglia-thalamo-cortical loop connections while cortico-cortical association connections showed both decreased and increased FAw-SC. FAw-SC strength of these connections was associated with poorer socio-cognitive performance in both EP and IUGR children.