Nonlinear pedagogy : implications for teaching games for understanding (TGfU)

Nonlinear Dynamics, provides a framework for understanding how teaching and learning processes function in Teaching Games for Understanding (TGfU). In Nonlinear Pedagogy, emergent movement behaviors in learners arise as a consequence of intrinsic self-adjusted processes shaped by interacting constraints in the learning environment. In a TGfU setting, representative, conditioned games provide ideal opportunities for pedagogists to manipulate key constraints so that self-adjusted processes by players lead to emergent behaviors as they explore functional movement solutions. The implication is that, during skill learning, functional movement variability is necessary as players explore different motor patterns for effective skill execution in the context of the game. Learning progressions in TGfU take into account learners’ development through learning stages and have important implications for organisation of practices, instructions and feedback. A practical application of Nonlinear Pedagogy in a national sports institute is shared to exemplify its relevance for TGfU practitioners.

Aavan meren täällä puolen : Arkkityyppiset piirteet ja amerikkalaisvaikutteet suosituimmissa suomalaisissa molli-iskelmissä

What are the musical features that turn a song into a hit? The aim of this research is to explore the musical features of hit tunes by studying the 224 most popular Finnish evergreens from the 1930s to the 1990s. It is remarkable, that 80-90% of Finnish oldies are in a minor key, though parallel major keys have also been widely employed within single pieces through, for example, modulations. Furthermore, melodies are usually diatonic, staying mostly in the same key. Consequently, chromatically altered tones in the melody and short modulations in the bridge sections become more prominent. I have concentrated in particular on the melodic lines in order to find the most typical melodic formulas from the data. These analyzed melodic formulas play an important role, because they serve as leading phrases and punchlines in songs. Analysis has revealed three major melodic formulas, which most often appear in the melodic lines of hit tunes. All of these formulas share common thematic ground, because they originate from the triadic tonic chord. Because the tonic chord is the most conventional opening chord in the verse parts, it is logical that these formulas occur most often in verses. The strong dominance of these formulas is very much a result of the rhythmic flexibility they possess; for instance, they can be found in every musical style from waltz to foxtrot. Alongside the major formulas lies a miscellaneous group of other tonic-related melodic formulas. One group of melodic formulas consists of melodic quotations. These quotations appear in a different musical context, for instance in a harmonically altered form, and are therefore often difficult to recognize as such. Yet despite the contextual manipulation, the distinctive character of the cited melody usually remains the same. Composers have also made use of certain popular chord-progressions in order to create new but familiar-sounding melodies. The most important individual progression in this case is what is known as a "circle of fifths" and its shortened, prolonged and altered versions. Because that progression is harmonically strong, it is also a contrastive tool used especially in chorus parts and middle sections (AABA). I have also paid attention to ragtime and jazz influences, which can be found in harmony parts and certain melody notes, which extend, suspend or alter the accompaning chords. Other influences from jazz and ragtime in the Finnish evergreen are evident in the use of typical Tin Pan Alley popular song forms. The most important is the AABA form, which dominates over the data along with the verse/chorus-type popular song form. To briefly illustrate the main results, the basic concept of the hit tune can be traced back to Tin Pan Alley songs, whereas the major stylistic aspects, such as minor keys and musical styles, bear influences from Russian, Western European, and Finnish traditions.

Bit-level systolic array implementation of the Winograd Fourier transform algorithm

A bit level systolic array system is proposed for the Winograd Fourier transform algorithm. The design uses bit-serial arithmetic and, in common with other systolic arrays, features nearest-neighbor interconnections, regularity and high throughput. The short interconnections in this method contrast favorably with the long interconnections between butterflies required in the FFT. The structure is well suited to VLSI implementations. It is demonstrated how long transforms can be implemented with components designed to perform a short length transform. These components build into longer transforms preserving the regularity and structure of the short length transform design.

Bit-Level systolic architectures for high performance IIR filtering

Several novel systolic architectures for implementing densely pipelined bit parallel IIR filter sections are presented. The fundamental problem of latency in the feedback loop is overcome by employing redundant arithmetic in combination with bit-level feedback, allowing a basic first-order section to achieve a wordlength-independent latency of only two clock cycles. This is extended to produce a building block from which higher order sections can be constructed. The architecture is then refined by combining the use of both conventional and redundant arithmetic, resulting in two new structures offering substantial hardware savings over the original design. In contrast to alternative techniques, bit-level pipelinability is achieved with no net cost in hardware. © 1989 Kluwer Academic Publishers.

SYSTOLIC IMPLEMENTATION OF THE WINOGRAD FOURIER TRANSFORM ALGORITHM.

A bit-level systolic array system is proposed for the Winograd Fourier transform algorithm. The design uses bit-serial arithmetic and, in common with other systolic arrays, features nearest neighbor interconnections, regularity, and high throughput. The short interconnections in this method contrast favorably with the long interconnections between butterflies required in the FFT. The structure is well suited to VLSI implementations. It is demonstrated how long transforms can be implemented with components designed to perform short-length transforms. These components build into longer transforms, preserving the regularity and structure of the short-length transform design.

Avaliação cognitiva em traumatizados crânio-encefálicos ligeiros

O aumento da incidência de traumatismos crânio-encefálicos (TCE) a nível internacional, tem vindo a fomentar o desenvolvimento de estudos neste domínio. O presente estudo pretende determinar a deterioração cognitiva e o estado depressivo em indivíduos com TCE ligeiro e sem TCE; analisar a deterioração cognitiva e o estado depressivo nos indivíduos com TCE ligeiro e sem TCE em relação ao sexo, idade, estado civil, residência e tipo de traumatismo; analisar a relação entre a deterioração cognitiva e o estado depressivo dos indivíduos com TCE e o tipo de traumatismo sofrido. Através de um estudo comparativo, avaliamos uma amostra total de 40 indivíduos, tendo o emparelhamento sido feito entre 2 grupos:  grupo clínico: 20 indivíduos com TCE ligeiro (entre 6 e 18 meses após lesão) com idades compreendidas entre os 18 e os 65 anos;  grupo de controlo: 20 indivíduos sem ter tido TCE ou patologia conducente a handicap psiquiátrico ou neurológico. A deterioração cognitiva foi avaliada através do Mini Mental State Examination (Folstein et al., 1975-versão portuguesa, adaptada por Guerreiro, 1993) que é um teste constituído por seis grupos que avaliam o defeito cognitivo do sujeito. Também foi utilizada a Bateria de Avaliação Neuropsicológica de Luria- Nebraska / versão experimental portuguesa de Maia, Loureiro e Silva, 2002, traduzida e adaptada de Golden, Hammeke e Purisch, 1979, que é uma bateria que visa avaliar o funcionamento neuropsicológico de indivíduos com manifestações neuropsicológicas. O estado depressivo foi avaliado através do Inventário de Avaliação Clínica da Depressão-IACLIDE (Serra, 1994) que mede a intensidade dos quadros clínicos depressivos, bem como uma ficha de registo individual de dados biográficos e clínicos. Os principais resultados são: Os indivíduos do grupo clínico, ou seja, aqueles que sofreram TCE ligeiro evidenciam maior deterioração cognitiva comparativamente com os que o não sofreram. Aqueles indivíduos também evidenciam estados depressivos significativamente mais graves do que os indivíduos que não sofreram aquele traumatismo. O TCE ligeiro induz um aumento dos sintomas depressivos em termos biológicos, cognitivos, inter-pessoais e desempenho de tarefas e tende a agravar os níveis de depressão endógena e a causar perturbação na relação do indivíduo consigo próprio; O TCE ligeiro conduz a um aumento significativo da incapacidade dos indivíduos para a vida geral, para o trabalho, para a vida social e para a vida familiar; Os indivíduos que sofreram TCE ligeiro evidenciam funções motoras, linguagem expressiva e raciocínio aritmético mais perturbadas que os que o não sofreram; O TCE ligeiro induz alterações neuropsicológicas que diminuem significativamente a capacidade dos mesmos. Os dados obtidos indicam, que os indivíduos que sofreram TCE do sexo feminino evidenciaram alteração cognitiva mais acentuada do que os do sexo masculino; os indivíduos mais velhos que sofreram TCE ligeiro, tendem a evidenciar maior deterioração do estado cognitivo e avaliação neuropsicológica mais baixa; verificamos também que no grupo clínico os indivíduos casados revelaram pior estado neuropsicológico na escala da bateria referente à leitura; os indivíduos que sofreram TCE ligeiro que residiam em aldeias evidenciam níveis mais elevados de depressão do que aqueles que residiam em vilas; por fim, os indivíduos que sofreram traumatismo aberto revelam maiores alterações neuropsicológicas nas funções motoras e visuais, no ritmo e na aritmética comparativamente com os outros.

The near ultraviolet absorption spectrum of phosgene /

The near ultraviolet absorption of phosgene has been assigned to a * 1 1 ~.--n, A;-- Al electronic transition from vapour phase spectra recorded under conditions of high resolution and low_t~mperature. Progressions in Vi, v2' V3' V4 and V4 ha\1e been identified in the spectrum and have been analyzed in terms of vibronic transitions between a planar ground and a nonplanar excited state. A ba~rier height of 3170 cm~l:and a nona planar equilibrium angle of 32.5 were calculated for the upper state from a fit of the energy levels of a Lorentzian-guadratic potential func- ~ion to the observed levels of V 4 . ' ~he false ori- 3in, 41 0 , of the spectrum has been assigned to the band at 33,631 cm -1 . An oscillator strength of -3 1 . 1 f = 1. a x 10 has been obtained for the A - A 2 1 transition.

On Space-Time Trade-Off for Montgomery Multipliers over Finite Fields

La multiplication dans le corps de Galois à 2^m éléments (i.e. GF(2^m)) est une opérations très importante pour les applications de la théorie des correcteurs et de la cryptographie. Dans ce mémoire, nous nous intéressons aux réalisations parallèles de multiplicateurs dans GF(2^m) lorsque ce dernier est généré par des trinômes irréductibles. Notre point de départ est le multiplicateur de Montgomery qui calcule A(x)B(x)x^(-u) efficacement, étant donné A(x), B(x) in GF(2^m) pour u choisi judicieusement. Nous étudions ensuite l'algorithme diviser pour régner PCHS qui permet de partitionner les multiplicandes d'un produit dans GF(2^m) lorsque m est impair. Nous l'appliquons pour la partitionnement de A(x) et de B(x) dans la multiplication de Montgomery A(x)B(x)x^(-u) pour GF(2^m) même si m est pair. Basé sur cette nouvelle approche, nous construisons un multiplicateur dans GF(2^m) généré par des trinôme irréductibles. Une nouvelle astuce de réutilisation des résultats intermédiaires nous permet d'éliminer plusieurs portes XOR redondantes. Les complexités de temps (i.e. le délais) et d'espace (i.e. le nombre de portes logiques) du nouveau multiplicateur sont ensuite analysées: 1. Le nouveau multiplicateur demande environ 25% moins de portes logiques que les multiplicateurs de Montgomery et de Mastrovito lorsque GF(2^m) est généré par des trinômes irréductible et m est suffisamment grand. Le nombre de portes du nouveau multiplicateur est presque identique à celui du multiplicateur de Karatsuba proposé par Elia. 2. Le délai de calcul du nouveau multiplicateur excède celui des meilleurs multiplicateurs d'au plus deux évaluations de portes XOR. 3. Nous determinons le délai et le nombre de portes logiques du nouveau multiplicateur sur les deux corps de Galois recommandés par le National Institute of Standards and Technology (NIST). Nous montrons que notre multiplicateurs contient 15% moins de portes logiques que les multiplicateurs de Montgomery et de Mastrovito au coût d'un délai d'au plus une porte XOR supplémentaire. De plus, notre multiplicateur a un délai d'une porte XOR moindre que celui du multiplicateur d'Elia au coût d'une augmentation de moins de 1% du nombre total de portes logiques.

Design and synthesis of efficient mac architectures for high speed decimal processor

Most of the commercial and financial data are stored in decimal fonn. Recently, support for decimal arithmetic has received increased attention due to the growing importance in financial analysis, banking, tax calculation, currency conversion, insurance, telephone billing and accounting. Performing decimal arithmetic with systems that do not support decimal computations may give a result with representation error, conversion error, and/or rounding error. In this world of precision, such errors are no more tolerable. The errors can be eliminated and better accuracy can be achieved if decimal computations are done using Decimal Floating Point (DFP) units. But the floating-point arithmetic units in today's general-purpose microprocessors are based on the binary number system, and the decimal computations are done using binary arithmetic. Only few common decimal numbers can be exactly represented in Binary Floating Point (BF P). ln many; cases, the law requires that results generated from financial calculations performed on a computer should exactly match with manual calculations. Currently many applications involving fractional decimal data perform decimal computations either in software or with a combination of software and hardware. The performance can be dramatically improved by complete hardware DFP units and this leads to the design of processors that include DF P hardware.VLSI implementations using same modular building blocks can decrease system design and manufacturing cost. A multiplexer realization is a natural choice from the viewpoint of cost and speed.This thesis focuses on the design and synthesis of efficient decimal MAC (Multiply ACeumulate) architecture for high speed decimal processors based on IEEE Standard for Floating-point Arithmetic (IEEE 754-2008). The research goal is to design and synthesize deeimal'MAC architectures to achieve higher performance.Efficient design methods and architectures are developed for a high performance DFP MAC unit as part of this research.

Undersökande arbetssätt i NO-undervisningen i grundskolans tidigare årskurser

This thesis deals with the use of inquiry-based approaches in primary school science. The aim is to investigate the goals and purposes that are constituted by the curriculum and by the teachers in interviews and through their teaching in the classroom. The results are used to develop conceptual tools that can be used by teachers’ in their work to support students’ learning of science when using an inquiry-based approach. The thesis is comprised of four papers. In paper one a comparative analysis is made of five Swedish national curricula for compulsory school regarding what students should learn about scientific inquiry. In paper two 20 teachers were interviewed about their own teaching using inquiry. Classroom interactions were filmed and analyzed in papers three and four, which examine how primary teachers use the various activities and purposes of the inquiry classroom to support learning progressions in science. The results of paper one show how the emphasis within and between the two goals of learning to carry out investigations and learning about the nature of science shifted and changed over time in the different curricula. Paper two describes the selective traditions and qualities that were emphasized in the teachers’ accounts of their own teaching. The results of papers three and four show how students need to be involved in the proximate and ultimate purposes of the teaching activities for progression to happen. The ultimate purposes are the scientific purposes for the lesson (as given by the teacher or by the curriculum), whereas the proximate purposes are the more student-centered purposes that through different activities should allow the students to relate their own experiences and language to the ultimate purpose. The results show the importance of proximate purposes working as ends-in-viewin the sense of John Dewey, meaning that the students see the goal of the activity and that they are able to relate to their experiences and familiar language.

Números primos e divisibilidade: estudo de propriedades

Pós-graduação em Matemática em Rede Nacional - IBILCE

Educação de jovens e adultos: a construção das operações aritméticas em matemática

Working with adult students who attend literacy rooms has been set a challenge for educators, especially with regard to issues of learning mathematics. This work of course completion intention was to investigate the process of construction of arithmetic operations in mathematics from the perspective of the students themselves. Thus specific objectives were to investigate how these students face simple operations that can do this automatically on a daily basis, but not always systematized in the classroom; how these students think and communicate their ideas to the mental operation of the paper record. To this end we chose a qualitative research approach with characteristics of case study, conducted in a room of Youth and Adult participants with three ladies. The data collection occurred through the application of a semi-structured, audio recorded and later transcribed, which issues the verbalization sought and a description of how to give students the learning process of some mathematical content. The results showed that students bring with them skills, cultures and values to the classroom and that these are the basis for understanding the content. The teacher of adult education must take into consideration everything that the student brings to the classroom, their experiences, their history and culture, thus questioning the real world, so they can understand math in a way closer to their daily lives

Treino musical como proposta para a estimulação da cognição numérica em crianças de idade escolar

Pós-graduação em Psicologia do Desenvolvimento e Aprendizagem - FC

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.

Experimental and Calculated Spectra of π-Stacked Mild Charge-Transfer Complexes: Jet-Cooled Perylene·(Tetrachloroethene) n , n = 1,2

The S0 ↔ S1 spectra of the mild charge-transfer (CT) complexes perylene·tetrachloroethene (P·4ClE) and perylene·(tetrachloroethene)2 (P·(4ClE)2) are investigated by two-color resonant two-photon ionization (2C-R2PI) and dispersed fluorescence spectroscopy in supersonic jets. The S0 → S1 vibrationless transitions of P·4ClE and P·(4ClE)2 are shifted by δν = −451 and −858 cm–1 relative to perylene, translating to excited-state dissociation energy increases of 5.4 and 10.3 kJ/mol, respectively. The red shift is ∼30% larger than that of perylene·trans-1,2-dichloroethene; therefore, the increase in chlorination increases the excited-state stabilization and CT character of the interaction, but the electronic excitation remains largely confined to the perylene moiety. The 2C-R2PI and fluorescence spectra of P·4ClE exhibit strong progressions in the perylene intramolecular twist (1au) vibration (42 cm–1 in S0 and 55 cm–1 in S1), signaling that perylene deforms along its twist coordinate upon electronic excitation. The intermolecular stretching (Tz) and internal rotation (Rc) vibrations are weak; therefore, the P·4ClE intermolecular potential energy surface (IPES) changes little during the S0 ↔ S1 transition. The minimum-energy structures and inter- and intramolecular vibrational frequencies of P·4ClE and P·(4ClE)2 are calculated with the dispersion-corrected density functional theory (DFT) methods B97-D3, ωB97X-D, M06, and M06-2X and the spin-consistent-scaled (SCS) variant of the approximate second-order coupled-cluster method, SCS-CC2. All methods predict the global minima to be π-stacked centered coplanar structures with the long axis of tetrachloroethene rotated by τ ≈ 60° relative to the perylene long axis. The calculated binding energies are in the range of −D0 = 28–35 kJ/mol. A second minimum is predicted with τ ≈ 25°, with ∼1 kJ/mol smaller binding energy. Although both monomers are achiral, both the P·4ClE and P·(4ClE)2 complexes are chiral. The best agreement for adiabatic excitation energies and vibrational frequencies is observed for the ωB97X-D and M06-2X DFT methods.