986 resultados para Mathematical markup language - MathML
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Poster at Open Repositories 2014, Helsinki, Finland, June 9-13, 2014
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Presentation at the 12th Bibliotheca Baltica Symposium at Södertörn University Library
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As the national language of the PRC, the world's growing economic power and the sovereign of Hong Kong, Putonghua is a language with multiple facets of relevance for the current Special Administrative Region. This paper seeks to explore and explain different representations of Putonghua in Hong Kong's leading English-language newspaper South China Morning Post in articles published between January 2012 and February 2013. The representations are studied in the context of the different discourses in which they appear, some of which feature language(s) as a central theme and some more marginally. An overview is first presented of the scholarly research on the most important developments in Hong Kong's complex language scene from the beginnings of the colony until present day, with the aim of detecting developments and attitudes with potential relevance or parallels to the context of Putonghua today. The paper then reflects on the media and its role in producing and perpetuating discourses in the society, before turning to more practical considerations on Hong Kong's English and Chinese language media and the role of South China Morning Post in it. The methods used in analysing the discourses are those of discourse analysis, with textual analysis as its starting point, in which close attention is paid to linguistic forms as the concrete representations of meanings in a text. Particularly the immediate contexts of the appearances of the word “Putonghua” in the articles were studied carefully to detect vocabulary, grammar and semantical choices as signs of different discourses, potentially also revealing fundamental underlying assumptions and other “hidden meanings” in the text. Some of the most distinctive discourses in which different representations of Putonghua appeared were the Instrumental value for the individual (in which Putonghua was represented as a form of social capital); Othering of the mainlanders (in which Putonghua served as a concrete marker of distinction); Belonging to China (Putonghua as a symbol of unity); and Cultural distinctiveness of Hong Kong (Putonghua as a threat to Hong Kong's history and culture, as embodied in Cantonese). Some of these discourses were more prominent than others, and for example the discourse of Belonging to China was relatively rarely enacted in Hongkongers' voices. In general, the findings were not surprising in the light of the history, but showed a fair degree of consistency with what has been written earlier about the languages and attitudes towards them in Hong Kong. It has often been noted that Putonghua and its relation with Cantonese is a matter linked with the social identity of the colony and its citizens. While it appeared that there were no strict taboos in the representations of Putonghua in the societal context, the possibility of self-censorship cannot be ruled out as a factor toning down political discourses in the representations.
Individual learner, peer group and teacher roles in fostering autonomous language-learning behaviour
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Julkaisumaa: Bulgaria
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Linguistic modelling is a rather new branch of mathematics that is still undergoing rapid development. It is closely related to fuzzy set theory and fuzzy logic, but knowledge and experience from other fields of mathematics, as well as other fields of science including linguistics and behavioral sciences, is also necessary to build appropriate mathematical models. This topic has received considerable attention as it provides tools for mathematical representation of the most common means of human communication - natural language. Adding a natural language level to mathematical models can provide an interface between the mathematical representation of the modelled system and the user of the model - one that is sufficiently easy to use and understand, but yet conveys all the information necessary to avoid misinterpretations. It is, however, not a trivial task and the link between the linguistic and computational level of such models has to be established and maintained properly during the whole modelling process. In this thesis, we focus on the relationship between the linguistic and the mathematical level of decision support models. We discuss several important issues concerning the mathematical representation of meaning of linguistic expressions, their transformation into the language of mathematics and the retranslation of mathematical outputs back into natural language. In the first part of the thesis, our view of the linguistic modelling for decision support is presented and the main guidelines for building linguistic models for real-life decision support that are the basis of our modeling methodology are outlined. From the theoretical point of view, the issues of representation of meaning of linguistic terms, computations with these representations and the retranslation process back into the linguistic level (linguistic approximation) are studied in this part of the thesis. We focus on the reasonability of operations with the meanings of linguistic terms, the correspondence of the linguistic and mathematical level of the models and on proper presentation of appropriate outputs. We also discuss several issues concerning the ethical aspects of decision support - particularly the loss of meaning due to the transformation of mathematical outputs into natural language and the issue or responsibility for the final decisions. In the second part several case studies of real-life problems are presented. These provide background and necessary context and motivation for the mathematical results and models presented in this part. A linguistic decision support model for disaster management is presented here – formulated as a fuzzy linear programming problem and a heuristic solution to it is proposed. Uncertainty of outputs, expert knowledge concerning disaster response practice and the necessity of obtaining outputs that are easy to interpret (and available in very short time) are reflected in the design of the model. Saaty’s analytic hierarchy process (AHP) is considered in two case studies - first in the context of the evaluation of works of art, where a weak consistency condition is introduced and an adaptation of AHP for large matrices of preference intensities is presented. The second AHP case-study deals with the fuzzified version of AHP and its use for evaluation purposes – particularly the integration of peer-review into the evaluation of R&D outputs is considered. In the context of HR management, we present a fuzzy rule based evaluation model (academic faculty evaluation is considered) constructed to provide outputs that do not require linguistic approximation and are easily transformed into graphical information. This is achieved by designing a specific form of fuzzy inference. Finally the last case study is from the area of humanities - psychological diagnostics is considered and a linguistic fuzzy model for the interpretation of outputs of multidimensional questionnaires is suggested. The issue of the quality of data in mathematical classification models is also studied here. A modification of the receiver operating characteristics (ROC) method is presented to reflect variable quality of data instances in the validation set during classifier performance assessment. Twelve publications on which the author participated are appended as a third part of this thesis. These summarize the mathematical results and provide a closer insight into the issues of the practicalapplications that are considered in the second part of the thesis.
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The aim of the present set of longitudinal studies was to explore 3-7-year-old children.s Spontaneous FOcusing on Numerosity (SFON) and its relation to early mathematical development. The specific goals were to capture in method and theory the distinct process by which children focus on numerosity as a part of their activities involving exact number recognition, and individual differences in this process that may be informative in the development of more complex number skills. Over the course of conducting the five studies, fifteen novel tasks were progressively developed for the SFON assessments. In the tasks, confounding effects of insufficient number recognition, verbal comprehension, other procedural skills as well as working memory capacity were aimed to be controlled. Furthermore, how children.s individual differences in SFON are related to their development of number sequence, subitizing-based enumeration, object counting and basic arithmetic skills was explored. The effect of social interaction on SFON was tested. Study I captured the first phase of the 3-year longitudinal study with 39 children. It was investigated whether there were differences in 3-year-old children.s tendency to focus on numerosity, and whether these differences were related to the children.s development of cardinality recognition skills from the age of 3 to 4 years. It was found that the two groups of children formed on the basis of their amount of SFON tendency at the age of 3 years differed in their development of recognising and producing small numbers. The children whose SFON tendency was very predominant developed faster in cardinality related skills from the age of 3 to 4 years than the children whose SFON tendency was not as predominant. Thus, children.s development in cardinality recognition skills is related to their SFON tendency. Studies II and III were conducted to investigate, firstly, children.s individual differences in SFON, and, secondly, whether children.s SFON is related to their counting development. Altogether nine tasks were designed for the assessments of spontaneous and guided focusing on numerosity. The longitudinal data of 39 children in Study II from the age of 3.5 to 6 years showed individual differences in SFON at the ages of 4, 5 and 6 years, as well as stability in children.s SFON across tasks used at different ages. The counting skills were assessed at the ages of 3.5, 5 and 6 years. Path analyses indicated a reciprocal tendency in the relationship between SFON and counting development. In Study III, these results on the individual differences in SFON tendency, the stability of SFON across different tasks and the relationship of SFON and mathematical skills were confirmed by a larger-scale cross-sectional study of 183 on average 6.5-year-old children (range 6;0-7;0 years). The significant amount of unique variance that SFON accounted for number sequence elaboration, object counting and basic arithmetic skills stayed statistically significant (partial correlations varying from .27 to .37) when the effects of non-verbal IQ and verbal comprehension were controlled. In addition, to confirm that the SFON tasks assess SFON tendency independently from enumeration skills, guided focusing tasks were used for children who had failed in SFON tasks. It was explored whether these children were able to proceed in similar tasks to SFON tasks once they were guided to focus on number. The results showed that these children.s poor performance in the SFON tasks was not caused by their deficiency in executing the tasks but on lacking focusing on numerosity. The longitudinal Study IV of 39 children aimed at increasing the knowledge of associations between children.s long-term SFON tendency, subitizing-based enumeration and verbal counting skills. Children were tested twice at the age of 4-5 years on their SFON, and once at the age of 5 on their subitizing-based enumeration, number sequence production, as well as on their skills for counting of objects. Results showed considerable stability in SFON tendency measured at different ages, and that there is a positive direct association between SFON and number sequence production. The association between SFON and object counting skills was significantly mediated by subitizing-based enumeration. These results indicate that the associations between the child.s SFON and sub-skills of verbal counting may differ on the basis of how significant a role understanding the cardinal meanings of number words plays in learning these skills. The specific goal of Study V was to investigate whether it is possible to enhance 3-year old children.s SFON tendency, and thus start children.s deliberate practice in early mathematical skills. Participants were 3-year-old children in Finnish day care. The SFON scores and cardinality-related skills of the experimental group of 17 children were compared to the corresponding results of the 17 children in the control group. The results show an experimental effect on SFON tendency and subsequent development in cardinality-related skills during the 6-month period from pretest to delayed posttest in the children with some initial SFON tendency in the experimental group. Social interaction has an effect on children.s SFON tendency. The results of the five studies assert that within a child.s existing mathematical competence, it is possible to distinguish a separate process, which refers to the child.s tendency to spontaneously focus on numerosity. Moreover, there are significant individual differences in children.s SFON at the age of 3-7 years. Moderate stability was found in this tendency across different tasks assessed both at the same and at different ages. Furthermore, SFON tendency is related to the development of early mathematical skills. Educational implications of the findings emphasise, first, the importance of regarding focusing on numerosity as a separate, essential process in the assessments of young children.s mathematical skills. Second, the substantial individual differences in SFON tendency during the childhood years suggest that uncovering and modeling this kind of mathematically meaningful perceiving of the surroundings and tasks could be an efficient tool for promoting young children.s mathematical development, and thus prevent later failures in learning mathematical skills. It is proposed to consider focusing on numerosity as one potential sub-process of activities involving exact number recognition in future studies.
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Malaria continues to infect millions and kill hundreds of thousands of people worldwide each year, despite over a century of research and attempts to control and eliminate this infectious disease. Challenges such as the development and spread of drug resistant malaria parasites, insecticide resistance to mosquitoes, climate change, the presence of individuals with subpatent malaria infections which normally are asymptomatic and behavioral plasticity in the mosquito hinder the prospects of malaria control and elimination. In this thesis, mathematical models of malaria transmission and control that address the role of drug resistance, immunity, iron supplementation and anemia, immigration and visitation, and the presence of asymptomatic carriers in malaria transmission are developed. A within-host mathematical model of severe Plasmodium falciparum malaria is also developed. First, a deterministic mathematical model for transmission of antimalarial drug resistance parasites with superinfection is developed and analyzed. The possibility of increase in the risk of superinfection due to iron supplementation and fortification in malaria endemic areas is discussed. The model results calls upon stakeholders to weigh the pros and cons of iron supplementation to individuals living in malaria endemic regions. Second, a deterministic model of transmission of drug resistant malaria parasites, including the inflow of infective immigrants, is presented and analyzed. The optimal control theory is applied to this model to study the impact of various malaria and vector control strategies, such as screening of immigrants, treatment of drug-sensitive infections, treatment of drug-resistant infections, and the use of insecticide-treated bed nets and indoor spraying of mosquitoes. The results of the model emphasize the importance of using a combination of all four controls tools for effective malaria intervention. Next, a two-age-class mathematical model for malaria transmission with asymptomatic carriers is developed and analyzed. In development of this model, four possible control measures are analyzed: the use of long-lasting treated mosquito nets, indoor residual spraying, screening and treatment of symptomatic, and screening and treatment of asymptomatic individuals. The numerical results show that a disease-free equilibrium can be attained if all four control measures are used. A common pitfall for most epidemiological models is the absence of real data; model-based conclusions have to be drawn based on uncertain parameter values. In this thesis, an approach to study the robustness of optimal control solutions under such parameter uncertainty is presented. Numerical analysis of the optimal control problem in the presence of parameter uncertainty demonstrate the robustness of the optimal control approach that: when a comprehensive control strategy is used the main conclusions of the optimal control remain unchanged, even if inevitable variability remains in the control profiles. The results provide a promising framework for the design of cost-effective strategies for disease control with multiple interventions, even under considerable uncertainty of model parameters. Finally, a separate work modeling the within-host Plasmodium falciparum infection in humans is presented. The developed model allows re-infection of already-infected red blood cells. The model hypothesizes that in severe malaria due to parasite quest for survival and rapid multiplication, the Plasmodium falciparum can be absorbed in the already-infected red blood cells which accelerates the rupture rate and consequently cause anemia. Analysis of the model and parameter identifiability using Markov chain Monte Carlo methods is presented.
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The objective of the present study was to establish a method for quantitative analysis of von Willebrand factor (vWF) multimeric composition using a mathematical framework based on curve fitting. Plasma vWF multimers from 15 healthy subjects and 13 patients with advanced pulmonary vascular disease were analyzed by Western immunoblotting followed by luminography. Quantitative analysis of luminographs was carried out by calculating the relative densities of low, intermediate and high molecular weight fractions using laser densitometry. For each densitometric peak (representing a given fraction of vWF multimers) a mean area value was obtained using data from all group subjects (patients and normal individuals) and plotted against the distance between the peak and IgM (950 kDa). Curves were constructed for each group using nonlinear fitting. Results indicated that highly accurate curves could be obtained for healthy controls and patients, with respective coefficients of determination (r²) of 0.9898 and 0.9778. Differences were observed between patients and normal subjects regarding curve shape, coefficients and the region of highest protein concentration. We conclude that the method provides accurate quantitative information on the composition of vWF multimers and may be useful for comparisons between groups and possibly treatments.
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Electro-rotation can be used to determine the dielectric properties of cells, as well as to observe dynamic changes in both dielectric and morphological properties. Suspended biological cells and particles respond to alternating-field polarization by moving, deforming or rotating. While in linearly polarized alternating fields the particles are oriented along their axis of highest polarizability, in circularly polarized fields the axis of lowest polarizability aligns perpendicular to the plane of field rotation. Ellipsoidal models for cells are frequently applied, which include, beside sphere-shaped cells, also the limiting cases of rods and disks. Human erythrocyte cells, due to their particular shape, hardly resemble an ellipsoid. The additional effect of rouleaux formation with different numbers of aggregations suggests a model of circular cylinders of variable length. In the present study, the induced dipole moment of short cylinders was calculated and applied to rouleaux of human erythrocytes, which move freely in a suspending conductive medium under the effect of a rotating external field. Electro-rotation torque spectra are calculated for such aggregations of different length. Both the maximum rotation speeds and the peak frequencies of the torque are found to depend clearly on the size of the rouleaux. While the rotation speed grows with rouleaux length, the field frequency nup is lowest for the largest cell aggregations where the torque shows a maximum.
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We analyzed the performance of 162 normal subjects, subdivided into groups according to age and schooling, in the oral comprehension tasks of the Boston Diagnostic Aphasia Examination translated and adapted to Brazilian Portuguese to obtain a profile of performance for the Brazilian population, as well as cut-off scores for each task, and to determine the best combination of tasks that distinguish normal from aphasic subjects, as a guide for clinicians. The normal subjects were compared to 69 aphasics. Age alone influenced the performance in the designation of actions (subjects above 70 years showing the worst performance); schooling alone influenced the comprehension of forms, colors and numbers (subjects with less than four years of education showing a poorer performance). Both age and schooling influenced the performance in Body Part Identification (BPI) and Complex Ideational Material (CIM) with mean values of 70.5 ± 3.3 (Word Discrimination, WD), 18.9 ± 1.4 (BPI), 14.7 ± 0.9 (Commands), and 10.3 ± 1.7 (CIM) for the whole sample; the cut-off scores obtained were 65 (WD), 17.5 (BPI), 14 (Commands), and 9.5 (CIM) for the whole sample. Logistic regression showed that the combination of BPI + Commands + CIM was the most efficient in differentiating normal subjects from aphasics, with 72.5% sensitivity and 97.6% specificity. However, for low-education subjects, BPI and Commands were sufficient for this differentiation (75.7% sensitivity and 84.7% specificity). The main contribution of this study was to provide reference values that are far more representative of our population to be used by health professionals in Brazil, taking into account cultural differences.
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Several methods are used to estimate anaerobic threshold (AT) during exercise. The aim of the present study was to compare AT obtained by a graphic visual method for the estimate of ventilatory and metabolic variables (gold standard), to a bi-segmental linear regression mathematical model of Hinkley's algorithm applied to heart rate (HR) and carbon dioxide output (VCO2) data. Thirteen young (24 ± 2.63 years old) and 16 postmenopausal (57 ± 4.79 years old) healthy and sedentary women were submitted to a continuous ergospirometric incremental test on an electromagnetic braking cycloergometer with 10 to 20 W/min increases until physical exhaustion. The ventilatory variables were recorded breath-to-breath and HR was obtained beat-to-beat over real time. Data were analyzed by the nonparametric Friedman test and Spearman correlation test with the level of significance set at 5%. Power output (W), HR (bpm), oxygen uptake (VO2; mL kg-1 min-1), VO2 (mL/min), VCO2 (mL/min), and minute ventilation (VE; L/min) data observed at the AT level were similar for both methods and groups studied (P > 0.05). The VO2 (mL kg-1 min-1) data showed significant correlation (P < 0.05) between the gold standard method and the mathematical model when applied to HR (r s = 0.75) and VCO2 (r s = 0.78) data for the subjects as a whole (N = 29). The proposed mathematical method for the detection of changes in response patterns of VCO2 and HR was adequate and promising for AT detection in young and middle-aged women, representing a semi-automatic, non-invasive and objective AT measurement.
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Tämä soveltavan kielitieteen ja kielitaidon arvioinnin toimintatutkimus tarkasteli kieliportfolion ominaisuuksia ja mahdollisuuksia nuorten oppijoiden englannin kielen arvioinnissa kahdessa eri oppimiskontekstissa: englanti oppiaineena (EFL) ja kaksikielinen sisällönopetus (CLIL). Tutkielman itsenäiset, kahteen eri englannin kielen rekisteriin (arkikieli ja akateeminen kieli) kohdistuneet portfoliokokeilut olivat erillisiä tapaustutkimuksia. Molemmat portfoliot perustuivat väljästi Eurooppalaiseen kielisalkkumalliin, ja ne olivat osa tutkielmantekijän luokkaopetusta ja -toimintaa. EFL -portfoliokokeilu 9-10-vuotiaille kolmasluokkalaisille toteutettiin marraskuun 2011 ja toukokuun 2012 välisenä aikana, kun CLIL -portfoliokokeilu n. 7-9-vuotiallle ensimmäisen ja toisen luokan oppilaille kesti kaksi lukuvuotta 2012–2014. Molemmissa kokeiluissa myös oppilaiden vanhemmat kuuluivat tutkimusjoukkoon, samoin CLIL -portfolion toteutuksessa avustaneet ja opettajanäkökulmaa edustaneet opettajaopiskelijat. Portfoliokokeilun aloitti myös kaksi muuta CLIL -opettajaa, mutta kumpikin kokeilu päättyi alkuvaiheeseensa. Tarkemman tarkastelun kohteina olivat tutkimuksen osallistujien kokemukset ja mielipiteet portfoliokokeiluista. Erityisesti tavoitteena oli selvittää, miten informatiivisena englannin kielitaidon indikaattorina kieliportfoliota pidettiin. Myös kehitysehdotuksia kerättiin. Trianguloitu aineisto koottiin sekä puolistrukturoiduin kyselyin että vapaaehtoisin teemahaastatteluin, jotka äänitettiin. EFL -aineisto koostui 18 oppilaskyselystä, 17 huoltajakyselystä ja 7 oppilashaastattelusta. CLIL -aineistoon sisältyi 19 oppilaskyselyä, 18 huoltajakyselyä, 7 oppilashaastattelua ja yksi opettajaopiskelijoiden (N=3) ryhmähaastattelu. Aineisto analysoitiin pääosin kvalitatiivisin menetelmin temaattisen sisältöanalyysin keinoin, mutta myös laskien frekvenssejä ja prosenttisosuuksia. Osallistujien mielipiteet ja kokemukset olivat hyvin samankaltaiset ja positiiviset kummassakin portfoliokokeilussa. Merkittävä enemmistö sekä oppilaista että huoltajista koki, että portfolion avulla on mahdollista osoittaa englannin kielitaitoa ja sen kehittymistä. Oppilaat kuvailivat portfoliotyötä hauskaksi ja kivaksi, ja heidän mielestään portfoliotehtävien pitäisi olla tarpeeksi haastavia, sisältää taiteellisia ja luovia elementtejä sekä kohdistua tuttuihin, mielenkiintoisiin aiheisiin. He totesivat, että portfolion avulla voi oppia lisää kieltä. Vanhempien mielestä portfolio kertoo koulun vieraiksi jääneistä oppisisällöistä, auttaa ymmärtämään lapsen ajatusmaailmaa ja motivaatiotasoa sekä paljastaa heidän kielitaidostaan uusia ulottuvuuksia. Opettajaopiskelijat havaitsivat, että portfolion avulla voi tutustua oppilaiden kieli- ja kulttuuritaustoihin sekä kartoittaa heidän kielellisiä tarpeitaan. Tämän tutkielman teoreettisen tarkastelun ja tulosten mukaan kieliportfolio tukee erinomaisesti uuden Perusopetuksen Opetussuunnitelman (NCC 2014) tavoitteita ja arvioinnin uudistuspyrkimyksiä sekä lainsäädännön arvioinnille asettamia edellytyksiä. Portfolio on erittäin suositeltava nuorten oppijoiden kielitaidon arviointimenetelmä perinteisten rinnalle.