882 resultados para The language of mathematics


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In the 1960s occurred great changes in the general education and, specially in the mathematical teaching, throughout Brazil. Besides the Law Diretrizes e Bases for Education (law 4024/1961), such changes also was occurred by opposite educational movements. In one side, those ones that valorized the popular education and culture and, for the other side, the international agreements between universities and government organs, like SUDENE and MEC, with United States Agency for International Development (USAID). These agreements purposed the cultural alignment. In this article we will expose some of these agreements and their interference in two courses for teachers' education. These teachers taught mathematics for the elementary school, in Rio Grande do Norte.

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The number of papers on History of Mathematics Education presented at EBRAPEM (Brazilian Meeting of Graduate Students in Mathematics Education) has increased significantly between 2003 and 2008. This article presents a study with the aim of identifying themes, periods in focus, and sources and theoretical and methodological references used by the authors of the papers on History of Mathematics Education published in the proceedings of VII, VIII, IX, X, XI and XII EBRAPEM. The study indicates that the approach of ongoing research in History of Mathematics Education in Brazil has been similar to the approach of research in History of Education in general. However, the institutional separation between these two areas of investigation is noted as a factor rendering communication between both groups of researchers difficult.

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The general aim of the thesis was to investigate how and to what extent the characteristics of action organization are reflected in language, and how they influence language processing and understanding. Even though a huge amount of research has been devoted to the study of the motor effects of language, this issue is very debated in literature. Namely, the majority of the studies have focused on low-level motor effects such as effector-relatedness of action, whereas only a few studies have started to systematically investigate how specific aspects of action organization are encoded and reflected in language. After a review of previous studies on the relationship between language comprehension and action (chapter 1) and a critical discussion of some of them (chapter 2), the thesis is composed by three experimental chapters, each devoted to a specific aspect of action organization. Chapter 3 presents a study designed with the aim to disentangle the effective time course of the involvement of the motor system during language processing. Three kinematics experiments were designed in order to determine whether and, at which stage of motor planning and execution effector-related action verbs influence actions executed with either the same or a different effector. Results demonstrate that the goal of an action can be linguistically re-activated, producing a modulation of the motor response. In chapter 4, a second study investigates the interplay between the role of motor perspective (agent) and the organization of action in motor chains. More specifically, this kinematics study aims at deepening how goal can be translated in language, using as stimuli simple sentences composed by a pronoun (I, You, He/She) and a verb. Results showed that the perspective activated by the pronoun You reflects the motor pattern of the “agent” combined with the chain structure of the verb. These data confirm an early involvement of the motor system in language processing, suggesting that it is specifically modulated by the activation of the agent’s perspective. In chapter 5, the issue of perspective is specifically investigated, focusing on its role in language comprehension. In particular, this study aimed at determining how a specific perspective (induced for example by a personal pronoun) modulates motor behaviour during and after language processing. A classical compatibility effect (the Action-sentence compatibility effect) has been used to this aim. In three behavioural experiments the authors investigated how the ACE is modulated by taking first or third person perspective. Results from these experiments showed that the ACE effect occurs only when a first-person perspective is activated by the sentences used as stimuli. Overall, the data from this thesis contributed to disentangle several aspects of how action organization is translated in language, and then reactivated during language processing. This constitutes a new contribution to the field, adding lacking information on how specific aspects such as goal and perspective are linguistically described. In addition, these studies offer a new point of view to understand the functional implications of the involvement of the motor system during language comprehension, specifically from the point of view of our social interactions.

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People tend to automatically mimic facial expressions of others. If clear evidence exists on the effect of non-verbal behavior (emotion faces) on automatic facial mimicry, little is known about the role of verbal behavior (emotion language) in triggering such effects. Whereas it is well-established that political affiliation modulates facial mimicry, no evidence exists on whether this modulation passes also through verbal means. This research addressed the role of verbal behavior in triggering automatic facial effects depending on whether verbal stimuli are attributed to leaders of different political parties. Study 1 investigated the role of interpersonal verbs, referring to positive and negative emotion expressions and encoding them at different levels of abstraction, in triggering corresponding facial muscle activation in a reader. Study 2 examined the role of verbs expressing positive and negative emotional behaviors of political leaders in modulating automatic facial effects depending on the matched or mismatched political affiliation of participants and politicians of left-and right-wing. Study 3 examined whether verbs expressing happiness displays of ingroup politicians induce a more sincere smile (Duchenne) pattern among readers of same political affiliation relative to happiness expressions of outgroup politicians. Results showed that verbs encoding facial actions at different levels of abstraction elicited differential facial muscle activity (Study 1). Furthermore, political affiliation significantly modulated facial activation triggered by emotion verbs as participants showed more congruent and enhanced facial activity towards ingroup politicians’ smiles and frowns compared to those of outgroup politicians (Study 2). Participants facially responded with a more sincere smile pattern towards verbs expressing smiles of ingroup compared to outgroup politicians (Study 3). Altogether, results showed that the role of political affiliation in modulating automatic facial effects passes also through verbal channels and is revealed at a fine-grained level by inducing quantitative and qualitative differences in automatic facial reactions of readers.

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An analysis of the language used in Beyoncé's song "***Flawless" and its thematics, including feminism, womanism, and the world of hip-hop.

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A semantic approach towards political conflict first emerged in the 1930s and provides the methodological foundations for the description of political conflicts, in particular as the correlation between the language of description and reality. Any military or political confrontation presupposes axiological, conceptual and ideological confrontation. The form of adequate description can only be comprehended if the characteristic features of its language (structure) and thesaurus are revealed. Admitting the possibility of different descriptions implies the necessity of analysing this possible ambiguity, i.e. the characteristic features of the language which enable us to form various statements, including mutually exclusive ones. The insoluble task of finding a middle ground between the viewpoints of the conflicting parties should be replaced by soluble procedures of explaining and assessing the conflicting axiologies. For the description of conflict situations, when it is essential to represent various positions within a uniform system, an apparatus of model semantics seems to be the most appropriate one both for generating alternatives and for bringing them together in a modal system of a world in which procedures of transition from one world to another (i.e. the transworld compatibility between them) are also reflected. Reality is reconstructed not as a sort of middle ground between the mutually exclusive approaches nor as their sum, but as a result of the overlapping of various worlds and the procedures of transition from one state of affairs to another. The description of a conflict is therefore seen as a system of worlds connected by modal relations, with a system of worlds emerging as a reality to be described. This approach makes it possible to describe the processes from the points of view of the participating parties and, at the same time, to reveal their basic attitudes. The main idea of this research is shown by the problems analysed: the description of conflict as methodology; language and behaviour (general problems of semiotic description), the logico-semantic analysis of the notions of "problem and conflict", "Genesis and Chronology", "the recurrent model of the (historical) explanation and interpretation of the conflict". Zolyan used data on the Karabagh conflict to demonstrate the dependence of the structure of semio-cultural codes on current political development and considered post-soviet history as a semio-cultural problem. He sought to consider and reveal the logic of manipulations with history, and proposed the logic of preferences as a possible instrument for achieving compromise.

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Article 10 of the 1996 Ukrainian Constitution proclaims that “The state language of Ukraine shall be the Ukrainian language” but continues: “Free development, use, and protection of Russian and other languages of national minorities of Ukraine shall be guaranteed in Ukraine.” Consolidating the position of the state language was at the centre of the "Orange Revolution", but President Yanukovich, elected in February 2010, has committed himself to a defence of the Russian language, as a regional language of Ukraine, and the battle is on to replace the Law on Languages of the Ukrainian SSR of 1989, which is still in force. Ukraine has ratified the Council of Europe’s European Charter for Regional or Minority Languages. This article reflects on the relation between language and law, and endeavours to bring clarity to a situation which at times resembles an overheated kettle about to explode.

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The development of astrophysics in the nineteenth century drew mankind closer to the planets. For the first time, it was possible to give serious scientific consideration to the possibilities for life on other planets. The greatest leap, however, was in recognizing what was not known, and acknowledging the limits of human intuition. ‘Ideas,’ wrote Agnes M. Clerke, ‘have all at once become plastic’. As the scientific community tested the limits of scientific understanding, it became the role of science-fiction writers to imagine the universe beyond these limits. This paper will examine the ways in which nineteenth-century science fiction used the inheritance of the poetic language of Romanticism to reinstate the centrality of human being in the universe. I will explore the ways in which writers such as Edward Bulwer-Lytton (The Coming Race, 1871) and W. S. Lach-Szyrma (Aleriel, 1883) extended the Byronic hero to envisage extra-terrestrial utopias. The Hegelian systematic mythology described by Byron and Shelley had reimagined paradise and redemption on earth. Through science fiction, this mythology extended out towards the stars. A discourse on the possibilities of extra-terrestrial life became a Romantic discourse on the possibilities of being. The Byronic hero could now find a home not by escaping the shackles of religion, but as an angelic citizen of Venus or Mars. In this way, the paper will explore how science-fiction writers appropriated the language of Romantic poetry to build a bridge between the framework of scientific knowledge and the extent of human imagination.

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by J. Courtenay James

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In this article we present a didactic experience developed by the GIE (Group of Educational Innovation) “Pensamiento Matemático” of the Polytechnics University of Madrid (UPM), in order to bring secondary students and university students closer to Mathematics. It deals with the development of a virtual board game called Mate-trivial. The mechanics of the game is to win points by going around the board which consists of four types of squares identified by colours: “Statistics and Probability”, “Calculus and Analysis”, “Algebra and Geometry” and “Arithmetic and Number Theory ”. When landing on a square, a question of its category is set out: a correct answer wins 200 points, if wrong it loses 100 points, and not answering causes no effect on the points, but all the same, two minutes out of the 20 minutes that each game lasts are lost. For the game to be over it is necessary, before those 20 minutes run out, to reach the central square and succeed in the final task: four chained questions, one of each type, which must be all answered correctly. It is possible to choose between two levels to play: Level 1, for pre-university students and Level 2 for university students. A prototype of the game is available at the website “Aula de Pensamiento Matemático” developed by the GIE: http://innovacioneducativa.upm.es/pensamientomatematico/. This activity lies within a set of didactic actions which the GIE is developing in the framework of the project “Collaborative Strategies between University and Secondary School Education for the teaching and learning of Mathematics: An Application to solve problems while playing”, a transversal project financed by the UPM.