900 resultados para POLYNOMIAL IDENTITIES


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This qualitative research study explores how teachers who write social justicefocused curriculum support resources conceptualize curriculum and social justice. Curriculum used in schools reflects underlying assumptions and choices about what knowledge is valuable. Class-based, cultural, racial, and religious stereotypes are reinforced in schooling contexts. Are the resources teachers create, select, and use to promote social justice reproducing and reinforcing forms of oppression? Why do teachers pursue social justice through curriculum writing? What are their hopes for this work? Exploring how Teachers' beliefs and values influence cy.rriculum writing engages the teachers writing and using curriculum support resources in critical reflective thought about their experiences and efforts to promote social justice. Individual and focus group interviews were conducted with four teacher-curriculum writers from Ontario schools. In theorizing my experiences as a teacher-curriculum writer, I reversed roles and participated in individual interviews. I employed a critical feminist lens to analyze the qualitati ve data. The participants' identities influenced how they understand social justice and write curriculum. Their understandings of injustices, either personal or gathered through students, family members, or oth.e. r teachers, influenced their curriculum writing . The teacher-curriculum writers in the study believed all teachers need critical understandings of curriculum and social justice. The participants made a case for representation from historically disadvantaged and underrepresented groups on curriculum writing teams. In an optimistic conclusion, the possibility of a considerate curriculum is proposed as a way to engage the public in working with teachers for social justice.

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The following thesis provides an empirical case study in which a group of 6 first generation female Afghan Canadian youth is studied to determine their identity negotiation and development processes in everyday experiences. This process is investigated across different contexts of home, school, and the community. In terms of schooling experiences, 2 participants each are selected representing public, Islamic, and Catholic schools in Southern Ontario. This study employs feminist research methods and is analyzed through a convergence of critical race theory (critical race feminism), youth development theory, and feminist theory. Participant experiences reveal issues of racism, discrimination, and bias within schooling (public, Catholic) systems. Within these contexts, participants suppress their identities or are exposed to negative experiences based on their ethnic or religious identification. Students in Islamic schools experience support for a more positive ethnic and religious identity. Home and community provided nurturing contexts where participants are able to reaffirm and develop a positive overall identity.

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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.

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This study explores the stories and experiences of second-generation Portuguese Canadian secondary school students in Southern Ontario, Canada. The purpose of this research was to understand the educational experiences of students, specifically the successes, challenges, and struggles that the participants faced within the education system. Questions were also asked about identity issues and how participants perceived their identities influencing their educational experiences. Six Portuguese Canadian students in grades 9 to 11 were interviewed twice. The interviews ranged from 45 minutes to 90 minutes in length. Data analysis of qualitative, open-ended interviews, research journals, field notes and curricular documents yielded understandings about the participants' experiences and challenges in the education system. Eight themes emerged from data that explored the realities of everyday life for second-generatiop Portuguese Canadian students. These themes include: influences of part-time work on schooling, parental involvement, the teacher is key, challenges and barriers, the importance of peers, Portuguese Canadian identity, lack of focus on identity in curricul:um content, and the dropout problem. Recommendations in this study include the need for more community-based programs to assist students. Furthermore, teachers are encouraged to utilize strategies and curriculum resources that engage learners and integrate their histories and identities. Educators are encouraged to question power dynamics both inside and outside the school system. There is also a need for further research with Portuguese Canadian students who are struggling in the education system as well as an examination of the number of hours that students work.

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Using focus group methods, this project examines six men’s experiences of becoming vegetarian and the unique interaction between two identities commonly assumed to be in conflict: vegetarianism and masculinity. Included in this report is an overview of the contemporary debates in gender theory, with specific attention paid to men and masculinity. Seen through the lens of poststructural gender theory and the notion of multiple masculinities, this report demonstrates how vegetarian men challenge, negotiate and assert themselves as men both within the dominant culture and within their own vegetarian communities. This project bridges two existing bodies of work - poststructural gender theory and critical animal studies - to bring a more nuanced and better-articulated critique of gender to existing studies of the relationship between meat and masculinity and to offer this examination of meat consumption and gender performance as an illustration of the valuable applications of poststructural gender theory within critical animal studies.

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Abstract Past research has addressed the issue of male underachievement in literacy as an issue of global concern. This qualitative study focused on one subgroup of males which the literature highlighted as most at risk of educational underachievement in the Canadian educational landscape: male Caribbean immigrants to Canada. The research questions that framed the study sought to gain insight into the educational experiences of this group of learners so that ways through which their literacy achievement as measured by academic performance and classroom engagement could be projected. New literacy studies view literacy as socioculturally bound in social, institutional, and cultural relationships (Gee 1996). Literacy can therefore be thought of as an extension of self that Lankshear and Knobel (2006) assert is always connected to social identities. Central to the research questions as a result of this perspective was the discovery of the ideologies of reading held by the participants and their connections to literacy practice. Supplementary questions delved into socially valued literacy practices and ways in which learners saw themselves as Black males reflected in the Canadian educational framework. In this qualitative study with an interview design, data were collected through individual semistructured interviews with the 4 participants and through a focus group session with all the participants. The findings depicted that identity, interests, and ideologies of reading all influenced the literacy practices and engagement of Caribbean males. The findings documented are valuable as they provide a fresh perspective surrounding the educational experiences of the male Caribbean learner and can present insights which can lead to enhanced academic engagement and improved student achievement for this group of learners.

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The past two centuries have witnessed the rise of nationalist movements and widespread nationalism. As these movements gained strength in Europe, sport played a role in their development. Media representations of sport recount events in a way that reinforces cultural values and this research investigates media representations of Croatian nationalism in the weeks surrounding the country’s third place victory in the 1998 FIFA World Cup. Sociological theories alongside more contemporary theories of sport and nation construction are considered. Croatian newspapers were analyzed for elements of national identity construction. The study concludes that the 1998 World Cup played an important role in Croatia’s on-going construction of nationhood and invention of nationalist traditions. This research further demonstrates sport’s ability to evoke strong emotions that are difficult to witness in other areas of social life and the direct role of sport in garnering nationalism.

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My thesis advocates for critically-conscious hip-hop in classrooms to promote student engagement and culturally relevant pedagogical practices. This proposed approach to educating youth offsets the harmful effects of a normalized curriculum that limits students’ creativity and discounts their experiences as lifelong learners. My thesis gathers data from research literature on hip-hop and education, critically-conscious hip-hop lyrics, and also includes my own hip-hop muse to illustrate the positive tenets of critically-conscious hip-hop. The research literature in my thesis is gathered from multiple studies within North American high schools. My hip-hop muse interrelates with critically-conscious hip-hop lyrics because they both address contemporary issues through social commentary and critical awareness. The element of social commentary in my hip-hop muse is displayed through short poems and verses that outline my experiences in a normalized schooling environment. Throughout my thesis, I uncover the causes of student disengagement in classrooms, the ways in which critically-conscious hip-hop music serves as a tool for reengaging youth, and the approaches that must be taken in order to adequately integrate hip-hop into today’s classrooms. My thesis is important within the context of Canadian classrooms because it acts as an agent for social change and cultural relevance through a critical lens. The purpose of this approach, then, is to demonstrate an understanding of the complexity of our society and schooling system through social critique and proposals for change. More importantly, my thesis is grounded in equity; in which critically-conscious hip-hop serves as a bridge for students’ experiences, interests, and independent identities.

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This is a study exploring teenaged girls’ understanding and experiences of cyberbullying as a contemporary social phenomenon. Participants included 4 Grade 11 and 12 girls from a medium-sized independent school in southwestern Ontario, Canada. The girls participated in 9 extracurricular study sessions from January to April 2013. During the sessions, they engaged with Drama for Social Intervention (Clark, 2009; Conrad, 2004; Lepp, 2011) activities with the intended goal of producing a collective creation. Qualitative data were collected throughout the sessions using fieldnotes, participant journals, interviews, and participant artefacts. The findings are presented as an ethnodrama (Campbell & Conrad, 2006; Denzin, 2003; Saldaña, 1999) with each thematic statement forming a title of a scene in the script (Rogers, Frellick, & Babinski, 2002). The study found that girl identity online consists of many disconnected avatars. It also suggested that distancing (Eriksson, 2011) techniques, used to engender safety in Drama for Social Intervention, might have contributed to participant disengagement with the study’s content. Implications for further research included the utility of arts-based methods to promote participants’ feelings of growth and reflection, and a reevaluation of cyberbullying discourses to better reflect girls’ multiple avatar identities. Implications for teachers and administrators encompassed a need for preventative approaches to cyberbullying education, incorporating affective empathy-building (Ang & Goh, 2010) and addressing girls’ feelings of safety in perceived anonymity online.

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Through the reflective lens of an adult educator with invisible and episodic disabilities, this paper has been written as an organizational autoethnography. Through a process of autoethnographical sensemaking, it is intended to illuminate important gaps in organizational theory. Feminist/relational care ethics, critical reflection, and transformative learning serve as the educational theories that comprise its framework. In telling my story, embodied writing and performance narrative are used to convey the felt existence of a body exposed through words—where my “abled” and “disabled” professional teaching and learning identities may be studied against the backdrop of organizational policies and procedures. Words used to describe unfamiliar experiences and situations shape meaning for which new meaning may emerge. At the conclusion of this paper, an alternative frame of reference—a view from the margins—may be offered to articulate authenticity in the expectancy of workplace equity for adult educators with disabilities. Taken collectively on a larger level, it is hoped that this research may provide a source of inspiration for systemic organizational change in adult learning environments.

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Let f(x) be a complex rational function. In this work, we study conditions under which f(x) cannot be written as the composition of two rational functions which are not units under the operation of function composition. In this case, we say that f(x) is prime. We give sufficient conditions for complex rational functions to be prime in terms of their degrees and their critical values, and we derive some conditions for the case of complex polynomials. We consider also the divisibility of integral polynomials, and we present a generalization of a theorem of Nieto. We show that if f(x) and g(x) are integral polynomials such that the content of g divides the content of f and g(n) divides f(n) for an integer n whose absolute value is larger than a certain bound, then g(x) divides f(x) in Z[x]. In addition, given an integral polynomial f(x), we provide a method to determine if f is irreducible over Z, and if not, find one of its divisors in Z[x].

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Objective: To determine which socio-demographic, exposure, morbidity and symptom variables are associated with health-related quality of life among former and current heavy smokers. Methods: Cross sectional data from 2537 participants were studied. All participants were at ≥2% risk of developing lung cancer within 6 years. Linear and logistic regression models utilizing a multivariable fractional polynomial selection process identified variables associated with health-related quality of life, measured by the EQ-5D. Results: Upstream and downstream associations between smoking cessation and higher health-related quality of life were evident. Significant upstream associations, such as education level and current working status and were explained by the addition of morbidities and symptoms to regression models. Having arthritis, decreased forced expiratory volume in one second, fatigue, poor appetite or dyspnea were most highly and commonly associated with decreased HRQoL. Discussion: Upstream factors such as educational attainment, employment status and smoking cessation should be targeted to prevent decreased health-related quality of life. Practitioners should focus treatment on downstream factors, especially symptoms, to improve health-related quality of life.

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Regulatory light chain (RLC) phosphorylation in fast twitch muscle is catalyzed by skeletal myosin light chain kinase (skMLCK), a reaction known to increase muscle force, work, and power. The purpose of this study was to explore the contribution of RLC phosphorylation on the power of mouse fast muscle during high frequency (100 Hz) concentric contractions. To determine peak power shortening ramps (1.05 to 0.90 Lo) were applied to Wildtype (WT) and skMLCK knockout (skMLCK-/-) EDL muscles at a range of shortening velocities between 0.05-0.65 of maximal shortening velocity (Vmax), before and after a conditioning stimulus (CS). As a result, mean power was increased to 1.28 ± 0.05 and 1.11 ± .05 of pre-CS values, when collapsed for shortening velocity in WT and skMLCK-/-, respectively (n = 10). In addition, fitting each data set to a second order polynomial revealed that WT mice had significantly higher peak power output (27.67 ± 1.12 W/ kg-1) than skMLCK-/- (25.97 ± 1.02 W/ kg-1), (p < .05). No significant differences in optimal velocity for peak power were found between conditions and genotypes (p > .05). Analysis with Urea Glycerol PAGE determined that RLC phosphate content had been elevated in WT muscles from 8 to 63 % while minimal changes were observed in skMLCK-/- muscles: 3 and 8 %, respectively. Therefore, the lack of stimulation induced increase in RLC phosphate content resulted in a ~40 % smaller enhancement of mean power in skMLCK-/-. The increase in power output in WT mice suggests that RLC phosphorylation is a major potentiating component required for achieving peak muscle performance during brief high frequency concentric contractions.

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Ce mémoire porte sur la constitution du tiers secteur français en tant qu’acteur social et politique. Dans de nombreux pays, les relations entre l’État et les organismes mutualistes, coopératifs et associatifs de la société civile (un ensemble hétérogène qu’on appelle ici le « tiers secteur ») ont été récemment formalisées par des partenariats. En France, cette institutionnalisation s’est concrétisée en 2001 par la signature d’une Charte (CPCA). Nous explorons l’hypothèse qu’à travers l’institutionnalisation, le tiers secteur français se construit en tant qu’acteur –ayant une (ou des) identités propres de même qu’un projet de société relativement bien défini. La perspective dominante présente dans la littérature internationale traitant de l’institutionnalisation des rapports entre l’État et le tiers secteur est celle d’une instrumentalisation des organisations du tiers secteur au détriment de leurs spécificités et de leur autonomie. Cette perspective nous semble limitative, car elle semble être aveugle à la capacité d’action des organisations. Par conséquent, dans ce mémoire, nous cherchons à comprendre si une transformation identitaire a eu lieu ou est en cours, au sein du tiers secteur français, et donc s’il se transforme en acteur collectif. Pour apporter certains éléments de réponse à nos hypothèses et questions de recherche, nous avons effectué une analyse des discours via deux sources de données; des textes de réflexion rédigés par des acteurs clés du tiers secteur français et des entretiens effectués avec certains d’entre eux au printemps 2003 et à l’automne 2005. Sur la base de deux inspirations théoriques (Hobson et Lindholm, 1997 et Melucci, 1991), notre analyse a été effectuée en deux étapes. Une première phase nous a permis d’identifier deux cadres cognitifs à partir desquels se définissent les acteurs du tiers secteur français, les cadres « association » et « économie solidaire ». Une deuxième phase d’analyse consistait à déterminer si les deux cadres cognitifs pouvaient être considérés comme étant des tensions existant au sein d’un seul et même acteur collectif. Nos résultats nous permettent de conclure que les organisations du tiers secteur français ne se perçoivent pas globalement comme un ensemble unifié. Néanmoins, nous avons pu dégager certains éléments qui démontrent que les cadres sont partiellement conciliables. Cette conciliation est grandement subordonnée aux contextes sociopolitiques et économiques français, européen et international et est également conditionnelle à la découverte d’un mode de fonctionnement convenant à tous les acteurs.