Geometria: um estudo sobre quadriláteros no 4.º ano de escolaridade com recurso ao geoplano e ao GeoGebra

O presente estudo foi desenvolvido no âmbito do Mestrado de Didática da Matemática e Ciências da Natureza, no 1.º e 2.º Ciclos, no domínio da Geometria. Tem como principal objetivo compreender e analisar, através da implementação de uma sequência de tarefas de investigação e exploração, de que forma o processo de ensino e aprendizagem dos alunos, na área dos quadriláteros, com os recursos GeoGebra e o Geoplano, contribui para o desenvolvimento do raciocínio geométrico. Neste sentido, definiram-se as seguintes questões de investigação: (1) Qual a imagem concetual que os alunos possuem de cada um dos quadriláteros? (2) Que conhecimentos têm os alunos sobre as propriedades dos quadriláteros: quadrados, retângulos e losangos? (3) Quais os contributos do Geoplano e do GeoGebra na compreensão e identificação das propriedades dos quadriláteros? A metodologia adotada foi de natureza qualitativa, do tipo interpretativo, baseada em dois estudos de caso. Na recolha de dados, foram utilizados os seguintes instrumentos: observação, questionário, documentos produzidos pelos alunos, entrevistas informais, registos áudio e fotografias aos trabalhos realizados. Na análise dos dados, procurou-se descrever e interpretar os dados recolhidos, no âmbito do objeto do estudo. Os resultados mostraram que a sequência de tarefas e o modo como foram desenvolvidas foram fundamentais na compreensão dos conteúdos trabalhados. Regista-se também que os recursos utilizados motivaram os alunos e contribuíram para a interação, como também para a compreensão dos conceitos geométricos. Por outro lado, a utilização do GeoGebra e do Geoplano contribuíram para o desenvolvimento do raciocínio espacial e geométrico.

Aprendizagem dos números racionais não negativos com alunos do 3.º ano

Este estudo visa compreender as dificuldades que os alunos evidenciam na aprendizagem da noção de número racional não negativo. Ao longo da minha experiência como docente do 2.º ciclo, permitiu-me questionar por que razão os alunos de 5.º e 6.º ano apresentam dificuldades em compreender o conceito de fração nos seus diversos significados: número, partetodo, quociente, medida e operador multiplicativo. Foi no sentido de entender esta dificuldade na apropriação dos conhecimentos matemáticos sobre frações, que resolvi aplicar esta investigação a alunos do 1.º ciclo, nomeadamente a uma turma do 3.º ano, uma vez que é neste ano escolar que o estudo dos números racionais não negativos é aprofundado. A metodologia constou de um estudo de abordagem de carácter qualitativo, de natureza interpretativa. A recolha de dados inclui as produções escritas dos alunos e as gravações de áudio das intervenções verbais dos mesmos. A análise dos resultados realizou-se a partir das estratégias cognitivas que os alunos utilizaram para responderem às tarefas propostas. Os resultados deste estudo mostraram que a construção do sentido de número racional não é de fácil compreensão. É um conceito que requer uma abordagem multifacetada, apoiada com a manipulação de materiais estruturados ou não estruturados, para que os diferentes significados de fração fiquem bem consolidados nas estruturas cognitivas dos alunos.

Utilização de sensores de baixo custo na medição de monóxido de carbono no ar ambiente

Nos últimos anos tem-se assistido à introdução de novos dispositivos de medição da poluição do ar baseados na utilização de sensores de baixo custo. A utilização menos complexa destes sistemas, possibilita a obtenção de dados com elevada resolução temporal e espacial, abrindo novas oportunidades para diferentes metodologias de estudos de monitorização da poluição do ar. Apesar de apresentarem capacidades analíticas distantes dos métodos de referência, a utilização destes sensores tem sido sugerida e incentivada pela União Europeia no âmbito das medições indicativas previstas na Diretiva 2008/50/CE, com uma incerteza expandida máxima de 25%. O trabalho desenvolvido no âmbito da disciplina de Projeto consistiu na escolha, caracterização e utilização em medições reais de um sensor de qualidade do ar, integrado num equipamento protótipo desenvolvido com esse fim, visando obtenção uma estimativa da incerteza de medição associada à utilização deste dispositivo através da aplicação da metodologia de demonstração de equivalência de métodos de medição de qualidade do ar definida pela União Europeia. A pesquisa bibliográfica realizada permitiu constatar que o monóxido de carbono é neste momento o parâmetro de qualidade do ar que permite ser medido de forma mais exata através da utilização de sensores, nomeadamente o sensor eletroquímico da marca Alphasense, modelo COB4, amplamente utilizado em projetos de desenvolvimento neste cotexto de monitorização ambiental. O sensor foi integrado num sistema de medição com o objetivo de poder ser utlizado em condições de autonomia de fornecimento de energia elétrica, aquisição interna dos dados, tendo em consideração ser o mais pequeno possível e de baixo custo. Foi utlizado um sistema baseado na placa Arduino Uno com gravação de dados em cartão de memória SD, baterias e painel solar, permitindo para além do registo das tensões elétricas do sensor, a obtenção dos valores de temperatura, humidade relativa e pressão atmosférica, com um custo global a rondar os 300 euros. Numa primeira fase foram executados um conjunto de testes laboratoriais que permitiram a determinação de várias características de desempenho em dois sensores iguais: tempo de resposta, a equação modelo do sensor, avaliação da repetibilidade, desvio de curto e longo termo, interferência da temperatura e histerese. Os resultados demonstraram um comportamento dos sensores muito linear, com um tempo de resposta inferior a um minuto e com uma equação modelo do sensor dependente da variação da temperatura. A estimativa da incerteza expandida laboratorial ficou, para ambos os sensores, abaixo dos 10%. Após a realização de duas campanhas reais de medição de CO em que os valores foram muito baixos, foi realizada uma campanha de quinze dias num parque de estacionamento subterrâneo que permitiu a obtenção de concentrações suficientemente elevadas e a comparação dos resultados dos sensores com o método de referência em toda a gama de medição (0 a 12 mol.mol-1). Os valores de concentração obtidos pelos dois sensores demonstraram uma excelente correlação com o método de referência (r2≥0,998), obtendo-se resultados para a estimativa da incerteza expandida de campo inferiores aos obtidos para a incerteza laboratorial, cumprindo o objetivo de qualidade de dados definido para as medições indicativas de incerteza expandida máxima de 25%. Os resultados observados durante o trabalho realizado permitiram confirmar o bom desempenho que este tipo de sensor pode ter no âmbito de medições de poluição do ar com um caracter mais indicativo.

Interictal Spike EEG Source Analysis in Hypothalamic Hamartoma Epilepsy

Objective: The epilepsy associated with the hypothalamic hamartomas constitutes a syndrome with peculiar seizures, usually refractory to medical therapy, mild cognitive delay, behavioural problems and multifocal spike activity in the scalp electroencephalogram (EEG). The cortical origin of spikes has been widely assumed but not specifically demonstrated. Methods: We present results of a source analysis of interictal spikes from 4 patients (age 2–25 years) with epilepsy and hypothalamic hamartoma, using EEG scalp recordings (32 electrodes) and realistic boundary element models constructed from volumetric magnetic resonance imaging (MRIs). Multifocal spike activity was the most common finding, distributed mainly over the frontal and temporal lobes. A spike classification based on scalp topography was done and averaging within each class performed to improve the signal to noise ratio. Single moving dipole models were used, as well as the Rap-MUSIC algorithm. Results: All spikes with good signal to noise ratio were best explained by initial deep sources in the neighbourhood of the hamartoma, with late sources located in the cortex. Not a single patient could have his spike activity explained by a combination of cortical sources. Conclusions: Overall, the results demonstrate a consistent origin of spike activity in the subcortical region in the neighbourhood of the hamartoma, with late spread to cortical areas.

Analysis of the EEG Dynamics of Epileptic Activity in Gelastic Seizures Using Decomposition in Independent Components

Objective: Gelastic seizures are a frequent and well established manifestation of the epilepsy associated with hypothalamic hamartomas. The scalp EEG recordings very seldom demonstrate clear spike activity and the information about the ictal epilepsy dynamics is limited. In this work, we try to isolate epileptic rhythms in gelastic seizures and study their generators. Methods: We extracted rhythmic activity from EEG scalp recordings of gelastic seizures using decomposition in independent components (ICA) in three patients, two with hypothalamic hamartomas and one with no hypothalamic lesion. Time analysis of these rhythms and inverse source analysis was done to recover their foci of origin and temporal dynamics. Results: In the two patients with hypothalamic hamartomas consistent ictal delta (2–3 Hz) rhythms were present, with subcortical generators in both and a superficial one in a single patient. The latter pattern was observed in the patient with no hypothalamic hamartoma visible in MRI. The deep generators activated earlier than the superficial ones, suggesting a consistent sub-cortical origin of the rhythmical activity. Conclusions: Our data is compatible with early and brief epileptic generators in deep sub-cortical regions and more superficial ones activating later. Significance: Gelastic seizures express rhythms on scalp EEG compatible with epileptic activity originating in sub-cortical generators and secondarily involving cortical ones.

Analysis of the Dynamics and Origin of Epileptic Activity in Patients with Tuberous Sclerosis Evaluated for Surgery of Epilepsy

Objective: The epilepsies associated with the tuberous sclerosis complex (TSC) are very often refractory to medical therapy. Surgery for epilepsy is an effective alternative when the critical link between the localization of seizure onset in the scalp and a particular cortical tuber can be established. In this study we perform analysis of ictal and interictal EEG to improve such link. Methods: The ictal and interictal recordings of four patients with TSC undergoing surgery for epilepsy were submitted to independent component analysis (ICA), followed by source analysis, using the sLORETA algorithm. The localizations obtained for the ictal EEG and for the average interictal spikes were compared. Results: The ICA of ictal EEG produced consistent results in different events, and there was good agreement with the tubers that were successfully removed in three of the four patients (one patient refused surgery). In some patients there was a large discrepancy between the localization of ictal and interictal sources. The interictal activity produced more widespread source localizations. Conclusions: The use of ICA of ictal EEG followed by the use of source analysis methods in four cases of epilepsy and TSC was able to localize the epileptic generators very near the lesions successfully removed in surgery for epilepsy. Significance: The ICA of ictal EEG events may be a useful add-on to the tools used to establish the connection between epileptic scalp activity and the cortical tubers originating it, in patients with TSC considered for surgery of epilepsy.

Quantification of the TMS-EEG response in epilepsy

Dissertação para obtenção do Grau de Mestre em Engenharia Biomédica

Neuropsychological Abnormalities in Children with the Panayiotopoulos Syndrome Point to Parietal Lobe Dysfunction

Panayiotopoulos syndrome (PS) is a common epilepsy syndrome associated with rare clinical seizures and unknown localization of the epileptogenic area. Despite findings of normal development in patientswith PS, recent neuropsychological studies point to subtle and diverse cognitive impairments. No well-outlined hypothesis about the localization of the brain dysfunction responsible for these impairments has been proposed.We further explored the cognitive dysfunctions in PS andmade inferences on the most likely anatomical localization of brain impairment. A group of 19 patients (aged 6–12) with PS was rated according to spike activity and lateralization. The patients were submitted to a neuropsychological evaluation to assess general intelligence, memory, language, visual–perceptual abilities, attention, and executive functions. Using 35-channel scalp EEG recordings, the N170 face-evoked event-related potential (ERP)was obtained to assess the functional integrity of the ventral pathway. All patientswith PS showed normal IQ but subtle and consistent neurocognitive impairments. Namely, we found abnormalities in the copy task of the Rey–Osterrieth Complex Figure and in theNarrative Memory Test. There was no correlation between neuropsychological impairments with spike activity and hemispheric spike lateralization. The N170 ERP was normal in all patients except for one. Our neuropsychological findings demonstrate impairments in visual–perceptual abilities and in semantic processing. These findings, paired with the absence of occipital lobe dysfunction in all neuropsychological studies of PS performed to this date, support the existence of parietal lobe dysfunction.

Comparison of Methods and Co-Registration Maps of EEG and fMRI in Occipital Lobe Epilepsy

Clinically childhood occipital lobe epilepsy (OLE) manifests itself with distinct syndromes. The traditional EEG recordings have not been able to overcome the difficulty in correlating the ictal clinical symptoms to the onset in particular areas of the occipital lobes. To understand these syndromes it is important to map with more precision the epileptogenic cortical regions in OLE. Experimentally, we studied three idiopathic childhood OLE patients with EEG source analysis and with the simultaneous acquisition of EEG and fMRI, to map the BOLD effect associated with EEG spikes. The spatial overlap between the EEG and BOLD results was not very good, but the fMRI suggested localizations more consistent with the ictal clinical manifestations of each type of epileptic syndrome. Since our first results show that by associating the BOLD effect with interictal spikes the epileptogenic areas are mapped to localizations different from those calculated from EEG sources and that by using different EEG/fMRI processing methods our results differ to some extent, it is very important to compare the different methods of processing the localization of activation and develop a good methodology for obtaining co-registration maps of high resolution EEG with BOLD localizations.

Optimization of fMRI Processing Parameters for Simutaneous Acquisition of EEG/fMRI in Focal Epilepsy

In the context of focal epilepsy, the simultaneous combination of electroencephalography (EEG) and functional magnetic resonance imaging (fMRI) holds a great promise as a technique by which the hemodynamic correlates of interictal spikes detected on scalp EEG can be identified. The fact that traditional EEG recordings have not been able to overcome the difficulty in correlating the ictal clinical symptoms to the onset in particular areas of the lobes, brings the need of mapping with more precision the epileptogenic cortical regions. On the other hand, fMRI suggested localizations more consistent with the ictal clinical manifestations detected. This study was developed in order to improve the knowledge about the way parameters involved in the physical and mathematical data, produced by the EEG/fMRI technique processing, would influence the final results. The evaluation of the accuracy was made by comparing the BOLD results with: the high resolution EEG maps; the malformative lesions detected in the T1 weighted MR images; and the anatomical localizations of the diagnosed symptomatology of each studied patient. The optimization of the set of parameters used, will provide an important contribution to the diagnosis of epileptogenic focuses, in patients included on an epilepsy surgery evaluation program. The results obtained allowed us to conclude that: by associating the BOLD effect with interictal spikes, the epileptogenic areas are mapped to localizations different from those obtained by the EEG maps representing the electrical potential distribution across the scalp (EEG); there is an important and solid bond between the variation of particular parameters (manipulated during the fMRI data processing) and the optimization of the final results, from which smoothing, deleted volumes, HRF (used to convolve with the activation design), and the shape of the Gamma function can be certainly emphasized.

Estudo dos rácios trapézio inferior/ trapézio superior e grande dentado/ trapézio superior, em exercícios com envolvimento das articulações escapulo-torácica e gleno-umeral : recurso à electromiografia de superfície

RESUMO: Introdução: A estabilidade dinâmica relativa ao complexo articular do ombro depende de uma interacção perfeita entre músculos da coifa dos rotadores e músculos escapulares, como o binómio rotador da escápula – trapézio superior e trapézio inferior e o grande dentado. A compreensão dessas sinergias musculares em sujeitos assintomáticos permite, em última instância, o desenvolvimento de linhas orientadoras de raciocínio na abordagem clínica. Objectivo: Estudar o rácio de activação entre os músculos trapézio inferior e trapézio superior e entre grande dentado e trapézio superior, através de um conjunto de cinco exercícios aplicados a uma amostra de sujeitos assintomáticos, estabelecendo uma hierarquia entre esses rácios. Metodologia: Trata-se de um estudo descritivo, com uma amostra de 15 sujeitos saudáveis (n=9 homens; n=6 mulheres), com idades compreendidas entre os 19 e 27 anos (média=21 anos, dp=2,24), tendo sido avaliados por um sistema de electromiografia de superfície, em dois momentos de recolha diferentes. Os exercícios foram realizados em cadeia cinética aberta, sem qualquer aplicação de resistências externas. Resultados: De entre os exercícios analisados com envolvimento escapulo-torácico e gleno-umeral simultaneamente, destacaram-se com melhor rácio trapézio inferior/trapézio superior e grande dentado/trapézio superior (activação dos músculos trapézio inferior e grande dentado superior à activação do trapézio superior) os movimentos de flexão do ombro até aos 90º no plano sagital e a abdução do ombro até aos 90º no plano da escápula, considerando ambas as recolhas. Nos exercícios apenas com envolvimento escapulotorácico, destacaram-se com melhor rácio os movimentos de adução e depressão das escápulas bilateralmente com os membros superiores em repouso, seguido da abdução da escápula, com o ombro a 90º de flexão e mantendo a escápula em depressão (“murro à frente”), em ambas as recolhas. O exercício de abdução do ombro até aos 90º no plano frontal obteve sempre o pior rácio muscular, nos dois momentos de recolha. Conclusões: O presente trabalho estudou as interacções dos músculos escapulotorácicos em cinco exercícios realizados até aos 90º de elevação do membro superior,em cadeia cinética aberta e sem recurso a resistências externas. Será, eventualmente possível, enquadrar os exercícios propostos nas fases de consciencialização e associação de reaprendizagem motora. Sugerem-se futuros estudos com uso de análise cinemática. --------------------ABSTRACT: Introduction: Stability of the shoulder and scapula depend upon a perfect interaction between rotator cuff of the shoulder and scapular muscles, such as upper and lower trapezius and serratus anterior. A deeper comprehension of these synergies in healthy subjects allows, ultimately, the development of a better reasoning in the clinical approach. Goal: To study the ratios between lower trapezius/ upper trapezius and between serratus anterior/ upper trapezius in five different exercises, applied to healthy subjects, presenting a hierarchy between ratios. Methods: It’s an observational descriptive study including 15 healthy subjects (n= 9 men; n=6 women) with ages between 19 and 27 years (mean of 21 years, SD of 2,24). Surface electromyography was used in two different recording moments. All the exercises were performed in open kinetic chain, without external resistance. Results: Of the exercises studied that involved the shoulder and scapula together, the best ratios between lower trapezius/upper trapezius and serratus anterior/ upper trapezius (greater activity for lower trapezius and serratus anterior and less for upper trapezius) were found in shoulder flexion to 90º and in shoulder abduction to 90º in the plane of the scapula, in both recording moments. Considering the exercises that included only the scapula, the best ratio were found in bilateral adduction and depression of the scapula with the upper limbs resting and in abduction of the scapula, while being in depression, with the shoulder flexed at 90º, considering both recordings. Shoulder abduction to 90º in the coronal plane presented the worse ratio in both recording moments. Conclusions: This present paper studied the interaction of the scapula upward rotator muscles in five exercises performed below 90º of shoulder flexion or abduction, in open kinetic chain, with no external resistance. It may be possible to associate our exercises with the motor learning phases of association and consciousness. Future studies are suggested with kinematic analysis.

Public Participation geographic information systems in developing countries: lessons from Uganda on the impacts of interactive screens PPGIS and community perceptions of space

Dissertation submitted in partial fulfillment of the requirements for the Degree of Master of Science in Geospatial Technologies.

Perinatal Ischemic Stroke: a Five-Year Retrospective Study in a Level-III Maternity

Objective To study the incidence, clinical presentation, risk factors, imaging diagnosis, and clinical outcome of perinatal stroke. Methods Data was retrospectively collected from full-term newborns admitted to the neonatal unit of a level III maternity in Lisbon with cerebral stroke, from January 2007 to December 2011. Results There were 11 cases of stroke: nine were arterial ischemic stroke and two were cerebral venous sinus thrombosis. We estimated an incidence of arterial ischemic stroke of 1.6/5,000 births and of cerebral venous sinus thrombosis of 7.2/100,000 births. There were two cases of recurrent stroke. Eight patients presented with symptoms while the remaining three were asymptomatic and incidentally diagnosed. The most frequently registered symptoms (8/11) were seizures; in that, generalized clonic (3/8) and focal clonic (5/8). Strokes were more commonly left-sided (9/11), and the most affected artery was the left middle cerebral artery (8/11). Transfontanelle ultrasound was positive in most of the patients (10/11), and stroke was confirmed by cerebral magnetic resonance in all patients. Electroencephalographic recordings were carried out in five patients and were abnormal in three (focal abnormalities n=2, burst-suppression pattern n=1). Eight patients had previously identified risk factors for neonatal stroke which included obstetric and neonatal causes. Ten patients were followed up at outpatients setting; four patients developed motor deficits and one presented with epilepsy. Conclusions Although a modest and heterogeneous sample, this study emphasizes the need for a high level of suspicion when it comes to neonatal stroke, primarily in the presence of risk factors. The prevalence of neurological sequelae in our series supports the need of long-term follow-up and early intervention strategies.

The BOLD Effect of Interictal Spike Activity in Childhood Occipital Lobe Epilepsy

Occipital lobe epilepsy (OLE) presents in childhood with different manifestations, age of onset and EEG features that form distinct syndromes. The ictal clinical symptoms are difficult to correlate with onset in particular areas in the occipital lobes, and the EEG recordings have not been able to overcome this limitation. The mapping of epileptogenic cortical regions in OLE remains therefore an important goal in our understanding of these syndromes.

Different Electroclinical Manifestations of the Epilepsy Associated with Hamartomas Connecting to the Middle or Posterior Hypothalamus

PURPOSE: The epilepsy associated with hypothalamic hamartomas (HHs) has typical clinical, electrophysiologic, and behavioral manifestations refractory to drug therapy and with unfavorable evolution. It is well known that only sessile lesions produce epilepsy, but no correlation has been established between the different types of sessile hamartomas and the diverse manifestations of the epilepsy. We correlate anatomic details of the hamartoma and the clinical and neurophysiologic manifestations of the associated epilepsy. METHODS: HHs of seven patients with epilepsy (ages 2- 25 years) were classified as to lateralization and connection to the anteroposterior axis of the hypothalamus by using high-resolution brain magnetic resonance imaging. We correlated the anatomic classification with the clinical and neurophysiologic manifestations of the epilepsy as evaluated in long-term (24 h) video-EEG recordings. RESULTS: HHs ranged in size from 0.4 to 2.6 cc, with complete lateralization in six of seven patients. Ictal manifestations showed good correlation with the lobar involvement of ictal/interictal EEGs. These manifestations suggest the existence of two types of cortical involvement, one associated with the temporal lobe, produced by hamartomas connected to the posterior hypothalamus (mamillary bodies), and the other associated with the frontal lobe, seen in lesions connecting to the middle hypothalamus. CONCLUSIONS: A consistent clinical and neurophysiologic pattern of either temporal or frontal lobe cortical secondary involvement was found in the patients of our series. It depends on whether the hamartoma connects to the mamillary bodies (temporal lobe cases) or whether it connects to the medial hypothalamus (frontal lobe cases).