A study of the role learning and socialization during the transition from teacher to elementary school administrator

This thesis examined the role transition from an elementary teacher to an elementary principal. In particular, the training and socialization process of becoming an elementary principal was explored through the study of the hierarchical and political structure of a southern Ontario school board, and how this influenced the learning experiences of new elementary principals. A qualitative methodology, with a grounded theory design, was employed to investigate this process through interviews with 10 participants to examine their experiences and role learning occurs during their development. Specifically, participants perspective shifts, developmental experiences, understanding of group culture, and expansion of a board profile were highlighted in the data. One of the compelling results of the study was the degree to which principals of aspiring administrators influence the socialization of their subordinates. The beliefs and practices of the school principal determine the socialization orientation that teachers and vice-principals will experience during role learning. The results of this study also imply that role orientation needs to be understood as a continuum between custodial and innovative role assumption. Varying degrees of custodianship or innovation depended on the context of the administrative placement and the personal attributes of administrative candidates. Principals who are willing to share responsibilities, who are good communicators, and who wish to develop a collaborative relationship with their viceprincipals are the individuals the participants in this study described as making the best mentors.

Drama in education : deconstructing the role of movement in text

The purpose of this study was to conduct a comparative textual analysis on the role of movement in 3 texts in Drama in Education in Canada. As the subject is holistic and encourages creative, active participation, movement was expected to appear, even inadvertently, in both theory and practice. It was hoped that guidelines for the use of movement within Drama in Education would emerge from the texts and that these guidelines would serve as models for others to use. A total of 26 Drama in Education experts in Canada were each asked to list the 10 most important texts in the field. Those who answered were assigned numbers and charted according to age, gender, and geography. An objective colleague helped narrow the group to 16 participants. A frequency count was used, assigning 10 points to the first text on each list, and descending to 1 point for the tenth text listed. Based on the highest number of points calculated, the 5 most frequently used texts were identified. These were compared to ascertain the widest representation ofthe authors' geographic location and gender, as well as differences in theory and practice. The final selection included 3 texts that represented differing approaches in their presentation and discussion of Drama in Education theories and practices. Analysis involved applying 5 levels of commitment to determine if,how, why, when, and with what results movement was explicitly or implicitly addressed in the 3 texts. Analysis resulted in several unexpected surprises around each of the 3 texts. The study also provided suggestions for extending and clarifying the role of movement in teaching and learning in general, as well as for Drama in Education in particular.

Zero-sum problems in finite cyclic groups

The purpose of this thesis is to investigate some open problems in the area of combinatorial number theory referred to as zero-sum theory. A zero-sequence in a finite cyclic group G is said to have the basic property if it is equivalent under group automorphism to one which has sum precisely IGI when this sum is viewed as an integer. This thesis investigates two major problems, the first of which is referred to as the basic pair problem. This problem seeks to determine conditions for which every zero-sequence of a given length in a finite abelian group has the basic property. We resolve an open problem regarding basic pairs in cyclic groups by demonstrating that every sequence of length four in Zp has the basic property, and we conjecture on the complete solution of this problem. The second problem is a 1988 conjecture of Kleitman and Lemke, part of which claims that every sequence of length n in Zn has a subsequence with the basic property. If one considers the special case where n is an odd integer we believe this conjecture to hold true. We verify this is the case for all prime integers less than 40, and all odd integers less than 26. In addition, we resolve the Kleitman-Lemke conjecture for general n in the negative. That is, we demonstrate a sequence in any finite abelian group isomorphic to Z2p (for p ~ 11 a prime) containing no subsequence with the basic property. These results, as well as the results found along the way, contribute to many other problems in zero-sum theory.

Response curves of deterministic and probabilistic cellular automata in one and two dimensions

One of the most important problems in the theory of cellular automata (CA) is determining the proportion of cells in a specific state after a given number of time iterations. We approach this problem using patterns in preimage sets - that is, the set of blocks which iterate to the desired output. This allows us to construct a response curve - a relationship between the proportion of cells in state 1 after niterations as a function of the initial proportion. We derive response curve formulae for many two-dimensional deterministic CA rules with L-neighbourhood. For all remaining rules, we find experimental response curves. We also use preimage sets to classify surjective rules. In the last part of the thesis, we consider a special class of one-dimensional probabilistic CA rules. We find response surface formula for these rules and experimental response surfaces for all remaining rules.

'To do justice and judgement' : the place of passion in public life

Please consult the paper edition of this thesis to read. It is available on the 5th Floor of the Library at Call Number: Z 9999 P65 F47 2003

Square Root Finding In Graphs

Abstract: Root and root finding are concepts familiar to most branches of mathematics. In graph theory, H is a square root of G and G is the square of H if two vertices x,y have an edge in G if and only if x,y are of distance at most two in H. Graph square is a basic operation with a number of results about its properties in the literature. We study the characterization and recognition problems of graph powers. There are algorithmic and computational approaches to answer the decision problem of whether a given graph is a certain power of any graph. There are polynomial time algorithms to solve this problem for square of graphs with girth at least six while the NP-completeness is proven for square of graphs with girth at most four. The girth-parameterized problem of root fining has been open in the case of square of graphs with girth five. We settle the conjecture that recognition of square of graphs with girth 5 is NP-complete. This result is providing the complete dichotomy theorem for square root finding problem.

L-Fuzzy Relations in Coq

Heyting categories, a variant of Dedekind categories, and Arrow categories provide a convenient framework for expressing and reasoning about fuzzy relations and programs based on those methods. In this thesis we present an implementation of Heyting and arrow categories suitable for reasoning and program execution using Coq, an interactive theorem prover based on Higher-Order Logic (HOL) with dependent types. This implementation can be used to specify and develop correct software based on L-fuzzy relations such as fuzzy controllers. We give an overview of lattices, L-fuzzy relations, category theory and dependent type theory before describing our implementation. In addition, we provide examples of program executions based on our framework.

Finite-Sample Inference Methods for Simultaneous Equations and Models with Unobserved and Generated Regressors

We propose finite sample tests and confidence sets for models with unobserved and generated regressors as well as various models estimated by instrumental variables methods. The validity of the procedures is unaffected by the presence of identification problems or \"weak instruments\", so no detection of such problems is required. We study two distinct approaches for various models considered by Pagan (1984). The first one is an instrument substitution method which generalizes an approach proposed by Anderson and Rubin (1949) and Fuller (1987) for different (although related) problems, while the second one is based on splitting the sample. The instrument substitution method uses the instruments directly, instead of generated regressors, in order to test hypotheses about the \"structural parameters\" of interest and build confidence sets. The second approach relies on \"generated regressors\", which allows a gain in degrees of freedom, and a sample split technique. For inference about general possibly nonlinear transformations of model parameters, projection techniques are proposed. A distributional theory is obtained under the assumptions of Gaussian errors and strictly exogenous regressors. We show that the various tests and confidence sets proposed are (locally) \"asymptotically valid\" under much weaker assumptions. The properties of the tests proposed are examined in simulation experiments. In general, they outperform the usual asymptotic inference methods in terms of both reliability and power. Finally, the techniques suggested are applied to a model of Tobin’s q and to a model of academic performance.

Fair Allocation of Production Externalities: Recent Results

We survey recent axiomatic results in the theory of cost-sharing. In this litterature, a method computes the individual cost shares assigned to the users of a facility for any profile of demands and any monotonic cost function. We discuss two theories taking radically different views of the asymmetries of the cost function. In the full responsibility theory, each agent is accountable for the part of the costs that can be unambiguously separated and attributed to her own demand. In the partial responsibility theory, the asymmetries of the cost function have no bearing on individual cost shares, only the differences in demand levels matter. We describe several invariance and monotonicity properties that reflect both normative and strategic concerns. We uncover a number of logical trade-offs between our axioms, and derive axiomatic characterizations of a handful of intuitive methods: in the full responsibility approach, the Shapley-Shubik, Aumann-Shapley, and subsidyfree serial methods, and in the partial responsibility approach, the cross-subsidizing serial method and the family of quasi-proportional methods.

Effets d’un dispositif de formation exploitant des vidéos d’exemples de pratiques sur le développement d’une compétence professionnelle chez des enseignants du primaire

Cette recherche avait pour objectif d’évaluer l’effet du dispositif de formation « Zoom sur l’expertise pédagogique », ou, plus précisément, d’évaluer l’effet d’un parcours de formation créé grâce à ce dispositif et intégrant des exemples de pratiques sur vidéo sur les apprentissages et les intentions de changement de pratique d’un groupe d’enseignants du primaire relativement à la compétence professionnelle « Piloter des situations d’enseignement-apprentissage ». La réforme des programmes scolaires, qui s’installe progressivement depuis 2001, modifie considérablement les orientations en matière d’apprentissage et d’enseignement. Sa réussite repose notamment sur l’appropriation de nouvelles compétences professionnelles souvent difficiles à développer pour le personnel enseignant. À ces besoins de formation, les modalités de formation continue proposées ne semblaient répondre que partiellement. Le dispositif a été développé dans le but de soutenir le personnel enseignant dans l’appropriation de ce renouveau pédagogique et propose de nouvelles stratégies de formation basées principalement sur l’observation et l’analyse d’exemples de pratiques sur vidéo et enrichis de divers outils stimulant la réflexion sur la pratique. Sa conception s’inscrit dans un contexte d’émergence d’initiatives similaires. Néanmoins, beaucoup de questions restaient en suspens quant aux effets réels de ces dispositifs sur le développement professionnel des enseignants. Afin de réaliser une évaluation de ce dispositif, nous avons créé un parcours de formation que six enseignants ont réalisé. Ces personnes ont ensuite participé à deux entrevues semi-dirigées et ont partagé les notes prises durant la formation. Un cadre théorique a été développé, permettant de dégager trois questions de recherche : « Quels ont été les effets du dispositif de formation sur les savoirs relatifs aux composantes de la compétence ciblée ? » ; « Quels ont été les effets du dispositif de formation sur les intentions de changement de pratique des enseignants ? » ; « Comment améliorer le dispositif pour mieux soutenir le développement professionnel des enseignants ? ». Ce cadre a par la suite guidé l’analyse et l’interprétation des données recueillies. Une quantité substantielle d’informations a été obtenue permettant de mieux comprendre et documenter le rôle d’un tel dispositif de formation en ligne et des vidéos qui le composent. Nous avons pu confirmer leur effet positif sur le développement professionnel. Nous retenons notamment que les enseignants sont en mesure de mieux définir les composantes de la compétence ciblée par la formation, ils ont confirmé leur sentiment d’avoir appris, ils ont tous exprimé l'intention d’apporter des changements dans leur pratique. Tous ont grandement apprécié le parcours et ses vidéos, notamment la possibilité qu’elles leur offraient de s’identifier à des pairs et d’envisager des pistes de mise en application plus concrètes de leurs nouvelles connaissances. Par ailleurs, les commentaires et les suggestions des participants ont permis de dégager des pistes d’amélioration telles que la diminution de la quantité de vidéos, du nombre d’éléments de compétence présentés, ou l’augmentation de compléments pédagogiques accompagnant les vidéos. Ces pistes devraient toutefois être précisées et étudiées ce qui génère de nouvelles questions de recherches.

Sur la distribution des valeurs de la fonction zêta de Riemann et des fonctions L au bord de la bande critque

Thèse numérisée par la Division de la gestion de documents et des archives de l'Université de Montréal

Sunlight exposure and prostate cancer risk : a case-control study in Montreal, Canada

Objectifs: Évaluer l’association entre l’exposition récréative, professionnelle et globale au soleil et le risque de cancer de la prostate (CaP). Méthodes: Dans le contexte d’une étude cas-témoins sur le CaP menée à Montréal, Canada, des entrevues ont été complétées auprès de 1371 cas incidents de CaP diagnostiqués en 2005-2009, et 1479 témoins de la population générale. Des questionnaires détaillés ont permis d’obtenir de l’information sur la fréquence et la durée de participation à toute activité extérieure lors des loisirs durant l’âge adulte, ainsi qu’une description de chaque emploi tenu au cours de la vie. Une matrice emploi-exposition canadienne a été appliquée à chaque emploi afin d’assigner un niveau d’exposition professionnelle au soleil. Des indices cumulatifs de l’exposition au soleil basés sur le nombre d’événements récréatifs, la durée d’exposition professionnelle, ainsi qu’un indice d’exposition global ont été développés. La régression logistique a été utilisée pour estimer l’association entre chaque indice d’exposition et le CaP, en ajustant pour des variables de confusion potentielles. Résultats: Globalement, il n’y avait pas d’association entre chacun des indices d’exposition et le risque de CaP. Certaines tendances en accord avec un risque légèrement plus faible chez les hommes exposés au soleil ont été observées mais les résultats n’étaient pas statistiquement significatifs et il n’y avait pas de relation dose-réponse. Conclusion: Notre étude apporte peu de soutien à l’hypothèse d’une association entre l’exposition au soleil et le risque de développer un cancer de la prostate.

Les modèles vectoriels et multiplicatifs avec erreurs non-négatives de séries chronologiques.

L'objectif du présent mémoire vise à présenter des modèles de séries chronologiques multivariés impliquant des vecteurs aléatoires dont chaque composante est non-négative. Nous considérons les modèles vMEM (modèles vectoriels et multiplicatifs avec erreurs non-négatives) présentés par Cipollini, Engle et Gallo (2006) et Cipollini et Gallo (2010). Ces modèles représentent une généralisation au cas multivarié des modèles MEM introduits par Engle (2002). Ces modèles trouvent notamment des applications avec les séries chronologiques financières. Les modèles vMEM permettent de modéliser des séries chronologiques impliquant des volumes d'actif, des durées, des variances conditionnelles, pour ne citer que ces applications. Il est également possible de faire une modélisation conjointe et d'étudier les dynamiques présentes entre les séries chronologiques formant le système étudié. Afin de modéliser des séries chronologiques multivariées à composantes non-négatives, plusieurs spécifications du terme d'erreur vectoriel ont été proposées dans la littérature. Une première approche consiste à considérer l'utilisation de vecteurs aléatoires dont la distribution du terme d'erreur est telle que chaque composante est non-négative. Cependant, trouver une distribution multivariée suffisamment souple définie sur le support positif est plutôt difficile, au moins avec les applications citées précédemment. Comme indiqué par Cipollini, Engle et Gallo (2006), un candidat possible est une distribution gamma multivariée, qui impose cependant des restrictions sévères sur les corrélations contemporaines entre les variables. Compte tenu que les possibilités sont limitées, une approche possible est d'utiliser la théorie des copules. Ainsi, selon cette approche, des distributions marginales (ou marges) peuvent être spécifiées, dont les distributions en cause ont des supports non-négatifs, et une fonction de copule permet de tenir compte de la dépendance entre les composantes. Une technique d'estimation possible est la méthode du maximum de vraisemblance. Une approche alternative est la méthode des moments généralisés (GMM). Cette dernière méthode présente l'avantage d'être semi-paramétrique dans le sens que contrairement à l'approche imposant une loi multivariée, il n'est pas nécessaire de spécifier une distribution multivariée pour le terme d'erreur. De manière générale, l'estimation des modèles vMEM est compliquée. Les algorithmes existants doivent tenir compte du grand nombre de paramètres et de la nature élaborée de la fonction de vraisemblance. Dans le cas de l'estimation par la méthode GMM, le système à résoudre nécessite également l'utilisation de solveurs pour systèmes non-linéaires. Dans ce mémoire, beaucoup d'énergies ont été consacrées à l'élaboration de code informatique (dans le langage R) pour estimer les différents paramètres du modèle. Dans le premier chapitre, nous définissons les processus stationnaires, les processus autorégressifs, les processus autorégressifs conditionnellement hétéroscédastiques (ARCH) et les processus ARCH généralisés (GARCH). Nous présentons aussi les modèles de durées ACD et les modèles MEM. Dans le deuxième chapitre, nous présentons la théorie des copules nécessaire pour notre travail, dans le cadre des modèles vectoriels et multiplicatifs avec erreurs non-négatives vMEM. Nous discutons également des méthodes possibles d'estimation. Dans le troisième chapitre, nous discutons les résultats des simulations pour plusieurs méthodes d'estimation. Dans le dernier chapitre, des applications sur des séries financières sont présentées. Le code R est fourni dans une annexe. Une conclusion complète ce mémoire.

Parameter Estimation in Minification Processes

In this article it is proved that the stationary Markov sequences generated by minification models are ergodic and uniformly mixing. These results are used to establish the optimal properties of estimators for the parameters in the model. The problem of estimating the parameters in the exponential minification model is discussed in detail.

Acoustic radiation and scattering from cylindrical bodies and analysis of transducer arrays

New mathematical methods to analytically investigate linear acoustic radiation and scattering from cylindrical bodies and transducer arrays are presented. Three problems of interest involving cylinders in an infinite fluid are studied. In all the three problems, the Helmholtz equation is used to model propagation through the fluid and the beam patterns of arrays of transducers are studied. In the first problem, a method is presented to determine the omni-directional and directional far-field pressures radiated by a cylindrical transducer array in an infinite rigid cylindrical baffle. The solution to the Helmholtz equation and the displacement continuity condition at the interface between the array and the surrounding water are used to determine the pressure. The displacement of the surface of each transducer is in the direction of the normal to the array and is assumed to be uniform. Expressions are derived for the pressure radiated by a sector of the array vibrating in-phase, the entire array vibrating in-phase, and a sector of the array phase-shaded to simulate radiation from a rectangular piston. It is shown that the uniform displacement required for generating a source level of 220 dB ref. μPa @ 1m that is omni directional in the azimuthal plane is in the order of 1 micron for typical arrays. Numerical results are presented to show that there is only a small difference between the on-axis pressures radiated by phased cylindrical arrays and planar arrays. The problem is of interest because cylindrical arrays of projectors are often used to search for underwater objects. In the second problem, the errors, when using data-independent, classical, energy and split beam correlation methods, in finding the direction of arrival (DOA) of a plane acoustic wave, caused by the presence of a solid circular elastic cylindrical stiffener near a linear array of hydrophones, are investigated. Scattering from the effectively infinite cylinder is modeled using the exact axisymmetric equations of motion and the total pressures at the hydrophone locations are computed. The effect of the radius of the cylinder, a, the distance between the cylinder and the array, b, the number of hydrophones in the array, 2H, and the angle of incidence of the wave, α, on the error in finding the DOA are illustrated using numerical results. For an array that is about 30 times the wavelength and for small angles of incidence (α<10), the error in finding the DOA using the energy method is less than that using the split beam correlation method with beam steered to α; and in some cases, the error increases when b increases; and the errors in finding the DOA using the energy method and the split beam correlation method with beam steered to α vary approximately as a7 / 4 . The problem is of interest because elastic stiffeners – in nearly acoustically transparent sonar domes that are used to protect arrays of transducers – scatter waves that are incident on it and cause an error in the estimated direction of arrival of the wave. In the third problem, a high-frequency ray-acoustics method is presented and used to determine the interior pressure field when a plane wave is normally incident on a fluid cylinder embedded in another infinite fluid. The pressure field is determined by using geometrical and physical acoustics. The interior pressure is expressed as the sum of the pressures due to all rays that pass through a point. Numerical results are presented for ka = 20 to 100 where k is the acoustic wavenumber of the exterior fluid and a is the radius of the cylinder. The results are in good agreement with those obtained using field theory. The directional responses, to the plane wave, of sectors of a circular array of uniformly distributed hydrophones in the embedded cylinder are then computed. The sectors are used to simulate linear arrays with uniformly distributed normals by using delays. The directional responses are compared with the output from an array in an infinite homogenous fluid. These outputs are of interest as they are used to determine the direction of arrival of the plane wave. Numerical results are presented for a circular array with 32 hydrophones and 12 hydrophones in each sector. The problem is of interest because arrays of hydrophones are housed inside sonar domes and acoustic plane waves from distant sources are scattered by the dome filled with fresh water and cause deterioration in the performance of the array.