928 resultados para Mathematics sense making


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This thesis attempts to provide deeper historical and theoretical grounding for sense-making, thereby illustrating its applicability to practical information seeking research. In Chapter One I trace the philosophical origins of Brenda Dervin’s theory known as “sense making,” reaching beyond current scholarship that locates the origins of sense-making in twentieth-century Phenomenology and Communication theory and find its rich ontological, epistemological, and etymological heritage that dates back to the Pre-Socratics. After exploring sense-making’s Greek roots, I examine sense-making’s philosophical undercurrents found in Hegel’s Phenomenology of Spirit (1807), where he also returns to the simplicity of the Greeks for his concept of sense. With Chapter Two I explore sense-making methodology and find, in light of the Greek and Hegelian dialectic, a dialogical bridge connecting sense-making’s theory with pragmatic uses. This bridge between Dervin’s situation and use occupies a distinct position in sense-making theory. Moreover, building upon Brenda Dervin’s model of sense-making, I use her metaphors of gap and bridge analogy to discuss the dialectic and dialogic components of sense making. The purpose of Chapter Three is pragmatic – to gain insight into the online information-seeking needs, experiences, and motivation of first-degree relatives (FDRs) of breast cancer survivors through the lens of sense-making. This research analyses four questions: 1) information-seeking behavior among FDRs of cancer survivors compared to survivors and to undiagnosed, non-related online cancer information seekers in the general population, 2) types of and places where information is sought, 3) barriers or gaps and satisfaction rates FDRs face in their cancer information quest, and 4) types and degrees of cancer information and resources FDRs want and use in their information search for themselves and other family members. An online survey instrument designed to investigate these questions was developed and pilot tested. Via an email communication, the Susan Love Breast Cancer Research Foundation distributed 322,000 invitations to its membership to complete the survey, and from March 24th to April 5th 10,692 women agreed to take the survey with 8,804 volunteers actually completing survey responses. Of the 8,804 surveys, 95% of FDRs have searched for cancer information online, and 84% of FDRs use the Internet as a sense-making tool for additional information they have received from doctors or nurses. FDRs report needing much more information than either survivors or family/friends in ten out of fifteen categories related to breast and ovarian cancer. When searching for cancer information online, FDRs also rank highest in several of sense-making’s emotional levels: uncertainty, confusion, frustration, doubt, and disappointment than do either survivors or friends and family. The sense-making process has existed in theory and praxis since the early Greeks. In applying sensemaking’s theory to a contemporary problem, the survey reveals unaddressed situations and gaps of FDRs’ information search process. FDRs are a highly motivated group of online information seekers whose needs are largely unaddressed as a result of gaps in available online information targeted to address their specific needs. Since FDRs represent a quarter of the population, further research addressing their specific online information needs and experiences is necessary.

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This document provides supporting materials for a paper submitted for review to the Physics Education Research Conference proceedings in July 2016, "Sense-making with Inscriptions in Quantum Mechanics."

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In this action research study of my classroom of sixth grade mathematics, I investigated word problems. I discovered that my students did not like to try word problems because they did not understand what was being asked of them. My students also saw no reason for solving word problems or in having the ability to solve them. I used word problems that covered topics that were familiar to the students and that covered the skills necessary at the sixth grade level. I wanted to deepen their understanding of math and its importance. By having my students journal to me about the steps that they had taken along the way to solve the word problem I was able to see where confusion occurred. Consequently I was able to help clarify where my students made mistakes. Also, through writing down the steps taken, students did see more clearly where their errors took place. Each time that my students wrote their explanations to the steps that they used in solving the word problems they did solved them more easily. As I observed my students they took more time in writing their explanations and did not look at it as such a difficult task anymore.

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Leadership is essential for the effectiveness of the teams and organizations they are part of. The challenges facing organizations today require an exhaustive review of the strategic role of leadership. In this context, it is necessary to explore new types of leadership capable of providing an effective response to new needs. The presentday situations, characterized by complexity and ambiguity, make it difficult for an external leader to perform all leadership functions successfully. Likewise, knowledge-based work requires providing professional groups with sufficient autonomy to perform leadership functions. This study focuses on shared leadership in the team context. Shared leadership is seen as an emergent team property resulting from the distribution of leadership influence across multiple team members. Shared leadership entails sharing power and influence broadly among the team members rather than centralizing it in the hands of a single individual who acts in the clear role of a leader. By identifying the team itself as a key source of influence, this study points to the relational nature of leadership as a social construct where leadership is seen as social process of relating processes that are co-constructed by several team members. Based on recent theoretical developments concerned with relational, practice-based and constructionist approaches to the study of leadership processes, this thesis proposes the study of leadership interactions, working processes and practices to focus on the construction of direction, alignment and commitment. During the research process, critical events, activities, working processes and practices of a case team have been examined and analyzed with the grounded theory –approach in the terms of shared leadership. There are a variety of components to this complex process and a multitude of factors that may influence the development of shared leadership. The study suggests that the development process of shared leadership is a common sense -making process and consists of four overlapping dimensions (individual, social, structural, and developmental) to work with as a team. For shared leadership to emerge, the members of the team must offer leadership services, and the team as a whole must be willing to rely on leadership by multiple team members. For these individual and collective behaviors to occur, the team members must believe that offering influence to and accepting it from fellow team members are welcome and constructive actions. Leadership emerges when people with differing world views use dialogue and collaborative learning to create spaces where a shared common purpose can be achieved while a diversity of perspectives is preserved and valued. This study also suggests that this process can be supported by different kinds of meaning-making and process tools. Leadership, then, does not reside in a person or in a role, but in the social system. The built framework integrates the different dimensions of shared leadership and describes their relationships. This way, the findings of this study can be seen as a contribution to the understanding of what constitutes essential aspects of shared leadership in the team context that can be of theoretical value in terms of advancing the adoption and development process of shared leadership. In the real world, teams and organizations can create conditions to foster and facilitate the process. We should encourage leaders and team members to approach leadership as a collective effort that the team can be prepared for, so that the response is rapid and efficient.

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This article considers the question of what specific actions a teacher might take to create a culture of inquiry in a secondary school mathematics classroom. Sociocultural theories of learning provide the framework for examining teaching and learning practices in a single classroom over a two-year period. The notion of the zone of proximal development (ZPD) is invoked as a fundamental framework for explaining learning as increasing participation in a community of practice characterized by mathematical inquiry. The analysis draws on classroom observation and interviews with students and the teacher to show how the teacher established norms and practices that emphasized mathematical sense-making and justification of ideas and arguments and to illustrate the learning practices that students developed in response to these expectations.

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Relatório de Estágio apresentado à Escola Superior de Educação de Lisboa para obtenção de grau de mestre em Ensino do 1.º e 2.º ciclo do Ensino Básico

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Les enjeux liés aux politiques éducatives ont considérablement changé au cours des dernières décennies. Ces changements sont liés, entre autres, à l’accroissement de l’imputabilité et de la reddition de compte qui est devenue une caractéristique importante des réformes curriculaires et pédagogiques. Les politiques à enjeux élevés exercent une pression énorme sur les districts et les écoles états-unienne afin qu’ils augmentent le rendement des élèves en utilisant des systèmes de conséquences (Hall & Ryan, 2011; Loeb & Strunk, 2007). Ces politiques envoient de puissants messages sur l'importance de certaines matières scolaires au détriment d'autres - circonscrivant les exigences en termes de compétences et de connaissances. La langue maternelle d’enseignement et les mathématiques sont devenues des mesures centrales sur lesquelles reposent l’évaluation et le degré de performance des districts et des écoles. Conséquemment, les administrateurs de districts et les directions d’écoles ont souvent recours à des réformes curriculaires et pédagogiques comme moyen d'augmenter le rendement des élèves dans les matières scolaires visées par ces politiques. Les politiques contraignent les acteurs scolaires de concentrer les ressources sur les programmes curriculaires et les évaluations, le développement professionnel, et la prise de décision pilotée par les données (Anagnostopoulos & Ruthledge, 2007; Honig & Hatch, 2004; Spillane, Diamond, et al., 2002; Weitz White & Rosenbaum, 2008). Cette thèse examine la manière dont les politiques à enjeux élevés opèrent quotidiennement dans les interactions et les pratiques au sein des écoles. Nous analysons plus particulièrement les différents messages provenant de la politique transmis aux acteurs scolaires sur les manières d'apporter des changements substantiels dans le curriculum et l'enseignement. Nous élargissons l’analyse en prenant en compte le rôle des administrateurs de district ainsi que des partenaires universitaires qui façonnent également la manière dont certains aspects des messages provenant des politiques sont transmis, négociés et/ou débattus et d’autres sont ignorés (Coburn & Woulfin, 2012). En utilisant l’analyse de discours, nous examinons le rôle du langage comme constituant et médiateur des interactions sociales entre les acteurs scolaires et d’autres parties prenantes. De telles analyses impliquent une investigation approfondie d’un nombre d’étude de cas limité. Les données utilisées dans cette thèse ont été colligées dans une école primaire états-unienne du mid-West. Cette étude de cas fait partie d’une étude longitudinale de quatre ans qui comprenait huit écoles dans les milieux urbains entre 1999 et 2003 (Distributed Leadership Studies, http://www.distributedleadership.org). La base de données analysée inclut des observations de réunions formelles et des entrevues auprès des administrateurs du district, des partenaires universitaires, de la direction d’école et des enseignants. En plus de l’introduction et de la problématique (chapitre 1) et de discussion et conclusion (chapitre 5), cette thèse comprend un ensemble de trois articles interdépendants. Dans le premier article (chapitre 2), nous effectuons une recension des écrits portant sur le domaine de l’implantation de politiques (policy implementation) et la complexité des relations locales, nationales et internationales dans les systèmes éducatifs. Pour démystifier cette complexité, nous portons une attention particulière à la construction de sens des acteurs scolaires comme étant une dimension clé du processus de mise en œuvre des réformes. Dans le deuxième article (chapitre 3), nous cherchons à comprendre les processus sociaux qui façonnent les réponses stratégiques des acteurs scolaires à l’égard des politiques du district et de l’état et en lien avec la mise en œuvre d’un curriculum prescrit en mathématiques. Plus particulièrement, nous explorons les différentes situations dans lesquelles les acteurs scolaires argumentent au sujet des changements curriculaires et pédagogiques proposés par les administrateurs de district et des partenaires universitaires afin d’augmenter les résultats scolaires en mathématiques dans une école à faible performance. Dans le troisième article (chapitre 4), nous cherchons à démystifier les complexités liées à l’amélioration de l’enseignement dans un environnement de politiques à enjeux élevés. Pour ce faire, nous utilisons l'interaction entre les notions d'agentivité et la structure afin d'analyser la manière dont les conceptions d’imputabilité et les idées qui découlent de l'environnement politique et les activités quotidiennes jouent dans les interactions entre les acteurs scolaires concernant sur l’enseignement de la langue maternelle. Nous explorons trois objectifs spécifiques : 1) la manière dont les politiques à enjeux élevés façonnent les éléments de l’enseignement qui sont reproduits et ceux qui sont transformés au fil du temps ; 2) la manière dont la compréhension des leaders de l’imputabilité façonne les aspects des messages politiques que les acteurs scolaires remarquent à travers les interactions et les conversations et 3) la manière les acteurs scolaires portent une attention particulière à certaines messages au détriment d’autres. Dans le dernier chapitre de cette thèse, nous discutons les forces et les limites de l’analyse secondaire de données qualitatives, les implications des résultats pour le domaine d’études de l’implantation de politiques et les pistes futures de recherches.

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The project of Information Architecture is one of the initial stages of the project of a website, thus the detection and correction of errors in this stage are easier and time-saving than in the following stages. However, to minimize errors for the projects of information architecture, a methodology is necessary to organize the work of the professional and guarantee the final product quality. The profile of the professional who works with Information Architecture in Brazil has been analyzed (quantitative research by means of a questionnaire on-line) as well as the difficulties, techniques and methodologies found in his projects (qualitative research by means of interviews in depth with support of the approaches of the Sense-Making). One concludes that the methodologies of projects of information architecture need to develop the adoption of the approaches of Design Centered in the User and in the ways to evaluate its results.

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Since the middle of the first decade of this century, several authors have announced the dawn of a new Age, following the Information/ Knowledge Age (1970-2005?). We are certainly living in a Shift Age (Houle, 2007), but no standard designation has been broadly adopted so far, and others, such as Conceptual Age (Pink, 2005) or Social Age (Azua, 2009), are only some of the proposals to name current times. Due to the amount of information available nowadays, meaning making and understanding seem to be common features of this new age of change; change related to (i) how individuals and organizations engage with each other, to (ii) the way we deal with technology, to (iii) how we engage and communicate within communities to create meaning, i.e., also social networking-driven changes. The Web 2.0 and the social networks have strongly altered the way we learn, live, work and, of course, communicate. Within all the possible dimensions we could address this change, we chose to focus on language – a taken-for-granted communication tool, used, translated and recreated in personal and geographical variants, by the many users and authors of the social networks and other online communities and platforms. In this paper, we discuss how the Web 2.0, and specifically social networks, have contributed to changes in the communication process and, in bi- or multilingual environments, to the evolution and freeware use of the so called “international language”: English. Next, we discuss some of the impacts and challenges of this language diversity in international communication in the shift age of understanding and social networking, focusing on specialized networks. Then we point out some skills and strategies to avoid babelization and to build meaningful and effective content in mono or multilingual networks, through the use of common and shared concepts and designations in social network environments. For this purpose, we propose a social and collaborative approach to terminology management, as a shared, strategic and sense making tool for specialized communication in Web 2.0 environments.

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Making the transition between plans and unexpected occurrences is something organizations are used to doing every day. However, not much is known about how actors cope with unanticipated events and how they accommodate them within predefined schedules. In this study, we draw on an inductive analysis of aspiring filmmakers’ film sets to elaborate on how they plan their shooting activities every day, only to adjust them when unforeseen complications arise. We discover that film crews anchor their expectations for the day based on a planned shooting schedule, yet they incorporate a built-in assumption that it will inevitably be disrupted. We argue that they resort to triage processes and “troubleshooting protocols” that help decipher incoming problems. Familiar problems are solved by making use of experience obtained from past situations, whereas unprecedented problems are solved through a tacit protocol used as a tool to quickly devise an appropriate game plan. This study contributes to the literature on sense-making and provides valuable information about the unexplored world of filmmaking.

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In this paper we look at how a web-based social software can be used to make qualitative data analysis of online peer-to-peer learning experiences. Specifically, we propose to use Cohere, a web-based social sense-making tool, to observe, track, annotate and visualize discussion group activities in online courses. We define a specific methodology for data observation and structuring, and present results of the analysis of peer interactions conducted in discussion forum in a real case study of a P2PU course. Finally we discuss how network visualization and analysis can be used to gather a better understanding of the peer-to-peer learning experience. To do so, we provide preliminary insights on the social, dialogical and conceptual connections that have been generated within one online discussion group.

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La tesi doctoral titulada "La Dinàmica de les Pràctiques Científiques des d'un punt de vista experiencialista" té com a objectiu oferir una alternativa a les tesis de Kuhn defensades a l'"Estructura de les Revolucions Científiques". En aquest sentit, s'utilitzaran diferents experiments i models teòrics actuals en l'àmbit de les ciències cognitives per tal de superar la teoria estructuralista de la cognició, quee Kuhn proposa com la base de la seva filosofia de la ciència. Contràriament a aquesta teoria, l'experiencialisme se situa lluny de les tesis estructuralistes, en la mesura en què assumeix que la cognició humana emergeix des de la dinàmica interactiva dels agents cognitius humans entre ells en un entorn material, en tant que agents corporals. A partir d'aquesta interacció dinàmica, l'ésser humà genera un horitzó de sentit. Ja que la interacció entre els éssers humans en un entorn cultural i material és complex, dinàmic i canviant, la generació de sentit emergent no és com una estructura semàntica, coherent i sistemàtica, sinó que ha de ser considerada com un conjunt asistemàtic de perspectives exploratòries que se succeeixen en el temps, en funció dels diferents contextos i propòsits que un agent corporal porta a terme al llarg de la seva interacció dinàmica i temporal amb l'entorn. Com a resultat de tot això, els èssers humans apliquen diferents criteris interactius que donen lloc a diferents perspectives per categoritzar o estructurar el món material i cultural. Aquest punt de vista és completament diferent del kuhnià, donat que el segon argumenta que cada èsser humà té la seva pròpia Gestalt o estructura semàntica que projecta "a priori" sobre la realitat. Aquesta diferència serà molt important no només des d'un punt de vista teòric, sinó també des d'un punt de vista pràctic. Per exemple, s'argumentarà que en l'àmbit de la didàctica de les ciències empíriques, es poden produir canvis beneficiosos significatius si s'utilitzen tesis extretes del model experiencialista de la cognició humana, i es deixen de banda el cognitivisme i el teoreticisme, que són actualment les bases teòriques de la manera en qué funciona l'educació científica. Finalment, conclourem afirmant que la visió experiencialista de la cognició implica assumir una forta relació entre l'ètica i la ciència, puix que els èssers humans són capaços d'utilitzar diferents criteris interactius per explorar la realitat i, per tant, sempre poden buscar millors estragègies per entendre's els uns amb els altres.

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Työssä tarkastellaan skenaariomenetelmän toimivuutta uuden tiedon luomisen välineenä ja eri teoreettisten mallien kykyä kuvata tiedon luomista tässä kontekstissa. Tutkimusmenetelminä käytetään osallistuvaa havainnointia skenaarioistunnossa, lomakekyselyä ja haastatteluja. Uuden tiedon luomista tarkastellaan erilaisten teoreettisten mallien kautta. Mukana on Nonakan SECI-malli ja Ba-käsite, Scharmerin piilevän tiedon luomisen spiraali, Snowdenin Cynefin-malli ja von Kroghin huolenpidon käsite. Työssä havaittiin, ettei mikään edellä mainituista uuden tiedon luomisen malleista ollut täysin tunnistettavissa skenaarioprosessissa, eikä mikään niistä kyennyt kuvaamaan uuden tiedon luomista kattavasti tässä kontekstissa. Erityisen vaikeaa tutkimustilanteessa oli tunnistaa kaaoksesta pulppuavaa, ei vielä muotoutunutta tietoa. Skenaariomenetelmä toimikin parhaiten strategisen ajattelun apuvälineenä. Tiedon luomisen kannalta se loi ennen kaikkea uutta ymmärrystä. Uusi tieto oli luonteeltaan synteesiä olemassa olevasta tiedosta, joka auttoi hahmottamaan menneisyyttä, nykyisyyttä ja tulevaisuutta.

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The purpose of this study was to increase the understanding of the role and nature of trust in asymmetric technology partnership formation. In the knowledge-based "learning race" knowledge is considered as a primary source for competitive advantage. In the emerging ICT sector the high pace of technological change, the convergence of technologies and industries as well as the increasing complexity and uncertainty have forced even the largest players to seek cooperation for complementary knowledge and capabilities. Small technology firms need the complementary resources and legitimacy of the large firms to grow and compete in the global market place. Most of the earlier research indicates, however, that partnerships with asymmetric size, managerial resources and cultures have failed. A basic assumption supported by earlier research was that trust is a critical factor in asymmetric technology partnership formation. Asymmetric technology partnership formation is a dynamic and multi-dimensional process, and consequently a holistic research approach was selected. Research issue was approached from different levels: the individual decision-maker, the firm and the relationship between the parties. Also the impact of the dynamic environment and technology content was analyzed. A multitheoretical approach and a qualitative research method with in-depth interviews in five large ICT companies and eight small ICT companies enabled a holistic and rich view of the research issue. Study contributes on the scarce understanding on the nature and evolution of trust in asymmetric technology partnership formation. It sheds also light on the specific nature of asymmetric technology partnerships. The partnerships were found to be tentative and the diverse strategic intent of small and large technology firms appeared as a major challenge. The role of the boundary spanner was highlighted as a possibility to match the incompatible organizational cultures. A shared vision was found to be a pre-condition for individual-based fast trust leading to intuitive decision-making and experimentation. The relationships were tentative and they were continuously re-evaluated through the key actors' sense making of the technology content, asymmetry and the dynamic environment. A multi-dimensional conceptualization for trust was created and propositions on the role and nature of trust for further research are given. The purpose of this study was to increase the understanding of the role and nature of trust in asymmetric technology partnership formation. In the knowledge-based "learning race" knowledge is considered as a primary source for competitive advantage. In the emerging ICT sector the high pace of technological change, the convergence of technologies and industries as well as the increasing complexity and uncertainty have forced even the largest players to seek cooperation for complementary knowledge and capabilities. Small technology firms need the complementary resources and legitimacy of the large firms to grow and compete in the global market place. Most of the earlier research indicates, however, that partnerships with asymmetric size, managerial resources and cultures have failed. A basic assumption supported by earlier research was that trust is a critical factor in asymmetric technology partnership formation. Asymmetric technology partnership formation is a dynamic and multi-dimensional process, and consequently a holistic research approach was selected. Research issue was approached from different levels: the individual decision-maker, the firm and the relationship between the parties. Also the impact of the dynamic environment and technology content was analyzed. A multitheoretical approach and a qualitative research method with in-depth interviews in five large ICT companies and eight small ICT companies enabled a holistic and rich view of the research issue. Study contributes on the scarce understanding on the nature and evolution of trust in asymmetric technology partnership formation. It sheds also light on the specific nature of asymmetric technology partnerships. The partnerships were found to be tentative and the diverse strategic intent of small and large technology firms appeared as a major challenge. The role of the boundary spanner was highlighted as a possibility to match the incompatible organizational cultures. A shared vision was found to be a pre-condition for individual-based fast trust leading to intuitive decision-making and experimentation. The relationships were tentative and they were continuously re-evaluated through the key actors' sense making of the technology content, asymmetry and the dynamic environment. A multi-dimensional conceptualization for trust was created and propositions on the role and nature of trust for further research are given.