766 resultados para algebraic thinking


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In my thesis I argue for the use of system designs that: a) open access to a variety of users and allow for collaboration and idea exchange, while at the same time, b) are designed to motivate and engage users. To exemplify my proposed systems design, I created an interactive and open digital history project focused on Romanian culture and identity during Communism, from 1947, when the Communist Party took power by forcing the King to abdicate, until the revolution in 1989, which marked the end of Communism in Romania (Gilberg, 1990, Boia, 2014). In my project, I present the possibility to recreate Habermas’ notion of public sphere and “the unforced force of the better argument” (Habermas, 1989) and Dewey’s (2004) understanding of democracy as a mode of associated living imbued of the spirit of inquiry within contemporary digital history projects. Second, I outline system designs that motivate and engage users, by satisfying the basic psychological needs outlined in Ryan and Deci’s (2000) self-determination theory: autonomy, competence, and relatedness. Two more concepts are included to complete the proposed digital history project design: presence (Ryan, Rigby, & Przybylski, 2006) and learner hero (Rigby & Przybylski, 2009).

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This dissertation articulates the basic aims and achievements of education. It recognizes language as central to thinking, and philosophy and education as belonging profoundly to one another. The first step is to show that although philosophy can no longer claim to dictate the foundations of knowledge or of disciplines of inquiry, it still offers an exceptionally general level of self-understanding. Education is equally general and faces a similar crisis of self-identity, of coming to terms with reality. Language is the medium of thought and the repository of historical mind; so a child’s acquisition of language is her acquisition of rational freedom. This marks a metaphysical change: no longer merely an animal, she comes to exercise her powers of rationality, transcending her environment by seeking and expressing reasons for thinking and doing. She can think about herself in relation to the universe, hence philosophize and educate others in turn. The discussion then turns to the historical nature of language. The thinking already embedded in language always anticipates further questioning. Etymology serves as a model for philosophical understanding, and demonstrates how philosophy can continue to yield insights that are fundamental, but not foundational, to human life. The etymologies of some basic educational concepts disclose education as a leading out and into the midst of Being. The philosophical approach developed in previous chapters applies to the very idea of an educational aim. Discussion concerning the substantiality of educational ideals results in an impasse: one side recommends an open-­ended understanding of education’s aims; the other insists on a definitive account. However, educational ideals exhibit a conceptual duality: the fundamental achievements of education, such as rational freedom, are real; but how we should understand them remains an open question. The penultimate chapter investigates philosophical thinking as the fulfillment of rational freedom, whose creative insights can profoundly transform our everyday activities. That this transformative self-understanding is without end suggests the basic aims of education are unheimlich. The dissertation concludes with speculative reflection on the shape and nature of language, and with the suggestion that through education reality awakens to itself.

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In a little more than a century Canadian history and social studies education has faced a barrage of questions that has complicated its delivery in schools. Questions about the purpose of social studies, whose history should be taught and how it should be taught have clouded what the purpose of social studies and history education should be. The current project has employed historical thinking (specifically Seixas and Morton’s six historical thinking concepts) as a lens for teaching social studies and history. Students will engage in activity meant to develop habits of mind, namely understandings of historical perspective, historical significance, continuity and change, cause and consequence, use of primary sources and the ethical dimension of history. The goal is participation in a classroom inquiry, wherein students will collaboratively construct a timeline of Canadian history. Each entry will be determined as significant to Canadian narrative by students, and will be evaluated through one or several thinking concepts.

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This article takes up the charge of thinking architecture with one of the Indian Ocean’s central coral atoll formations, the Maldives archipelago. It is undertaken as a critique of the concept of the archipelago as deployed in architecture since the 1970’s. Architects have used the archipelago as a metaphoric metageographical concept based on a land/sea binary, to conceive of architecture as autonomous from its environments. This permits the discipline exemption from its contexts and frames its engagement with the diverse mobilities of contemporary globalization. To counter this, the article draws from a broad body of literature familiar to readers of GeoHumanities, namely island studies, urban island studies, political ecology and thinking with water to undertake a reading of the Maldives as an oceanic aquapelago, as an alternative metageographical concept for architecture in today’s globalized world.

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This paper deals with an elucidation of the theologico-political implications of Franz Rosenzweig’s relational conception of time in his work The Star of Redemption, the peculiarity of which expresses the concept “messianic difference”. Considered from the standpoint of the secularization debate, this messianic temporality offers a response to the verification of the Hegelian assembly of political philosophy and philosophy of history which, according to Rosenzweig, First World War represented. The consequent political disappointment experienced by the author of Hegel und der Staat led him to the pursuit of a Neues Denken determined by the ontological primacy of time as well as the unbreakable relationship which Rosenzweig established between “temporality” and “otherness”. Taking as terminus a quo the anthropological distinction between “personality” and “self”, i. e. between “ethics” and “metaethics”, that Rosenzweig presents in The Star, I will finally attempt to explore the various modes of temporalization that, depending on the relation to the temporalization of God and the world, are possible for the Rosenzweigian Self, as well as their related theologico-political aftermaths.

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The category of rational SO(2)--equivariant spectra admits an algebraic model. That is, there is an abelian category A(SO(2)) whose derived category is equivalent to the homotopy category of rational$SO(2)--equivariant spectra. An important question is: does this algebraic model capture the smash product of spectra? The category A(SO(2)) is known as Greenlees' standard model, it is an abelian category that has no projective objects and is constructed from modules over a non--Noetherian ring. As a consequence, the standard techniques for constructing a monoidal model structure cannot be applied. In this paper a monoidal model structure on A(SO(2)) is constructed and the derived tensor product on the homotopy category is shown to be compatible with the smash product of spectra. The method used is related to techniques developed by the author in earlier joint work with Roitzheim. That work constructed a monoidal model structure on Franke's exotic model for the K_(p)--local stable homotopy category. A monoidal Quillen equivalence to a simpler monoidal model category that has explicit generating sets is also given. Having monoidal model structures on the two categories removes a serious obstruction to constructing a series of monoidal Quillen equivalences between the algebraic model and rational SO(2)--equivariant spectra.

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The ability to project oneself into the future to pre-experience an event is referred to as episodic future thinking (Atance & O’Neill, 2001). Only a relatively small number of studies have attempted to measure this ability in pre-school aged children (Atance & Meltzoff, 2005; Busby & Suddendorf, 2005ab, 2010; Russell, Alexis, & Clayton, 2010).Perhaps the most successful method is that used by Russell et al (2010). In this task, 3- to 5-year-olds played a game of blow football on one end of a table. After this children were asked to select tools that would enable them to play the same game tomorrow from the opposite, unreachable, side of the table. Results indicated that only 5-year-olds were capable of selecting the right objects for future use more often than would be expected by chance. Above-chance performance was observed in this older group even though most children failed the task because there was a low probability of selecting the correct 2 objects from a choice of 6 by chance.This study aimed to identify the age at which children begin to consistently pass this type of task. Three different tasks were designed in which children played a game on one side of a table, and then were asked to choose a tool to play a similar game on the other side of the table the next day. For example, children used a toy fishing rod to catch magnetic fish on one side of the table; playing the same game from the other side of the table required a different type of fishing rod. At test, children chose between just 2 objects: the tool they had already used, which would not work on the other side, and a different tool that they had not used before but which was suitable for the other side of the table. Experiment 1: Forty-eight 4-year-olds (M = 53.6 months, SD = 2.9) took part. These children were assigned to one of two conditions: a control condition (present-self) where the key test questions were asked in the present tense and an experimental condition (future-self) where the questions were in the future tense. Surprisingly, the results showed that both groups of 4-year-olds selected the correct tool at above chance levels (Table 1 shows the mean number of correct answers out of three). However, the children could see the apparatus when they answered the test questions and so perhaps answered them correctly without imagining the future. Experiment 2: Twenty-four 4-year-olds (M = 53.7, SD = 3.1) participated. Pre-schoolers in this study experienced one condition: future-self looking-away. In this condition children were asked to turn their backs to the games when answering the test questions, which were in the future tense. Children again performed above chance levels on all three games.Contrary to the findings of Russell et al. (2010), our results suggest that episodic future thinking skills could be present in 4-year-olds, assuming that this is what is measured by the tasks. Table 1. Mean number of correct answers across the three games in Experiments 1 and 2Experimental Conditions (N=24 in each condition)Mean CorrectStandardDeviationStatistical SignificanceExp. 1 (present-self, look) – 2 items2.750.68p < 0.001Exp. 1 (future-self, look) – 2 items 2.790.42p < 0.001Exp. 2 (future-self, away) – 2 items 2.330.64p < 0.001Exp. 3 (future-self away) – 3 items1.210.98p = 0.157

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Diagnostic errors are responsible for a significant number of adverse events. Logical reasoning and good decision-making skills are key factors in reducing such errors, but little emphasis has traditionally been placed on how these thought processes occur, and how errors could be minimised. In this article, we explore key cognitive ideas that underpin clinical decision making and suggest that by employing some simple strategies, physicians might be better able to understand how they make decisions and how the process might be optimised.

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Slides and tasks Introductory sessions

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The template is based on the chapter version of the university thesis template

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Detailed description of the assignment