A geometria do compasso (1797) de Mascheroni (1750 – 1800) em atividades com o GeoGebra

The present work aims to show a possible relationship between the use of the History of Mathematics and Information and Communication Technologies (TIC) in teaching Mathematics through activities that use geometric constructions of the “Geometry of the Compass” (1797) by Lorenzo Mascheroni (1750-1800). For this, it was performed a qualitative research characterized by an historical exploration of bibliographical character followed by an empirical intervention based on use of the History of Mathematics combined with TIC through Mathematical Investigation. Thus, studies were performed in papers dealing with the topic, as well as a survey to highlight problems and /or episodes of the history of mathematics that can be solved with the help of TIC, allowing the production of a notebook of activities addressing the resolution of historical problems in a computer environment. In this search, we came across the problems of geometry that are presented by Mascheroni stated previously in the work that we propose solutions and investigations using GeoGebra software. The research resulted in the elaboration of an educational product, a notebook of activities, which was structure to allow during its implementation, students can conduct historical and/or Mathematics research, therefore, we present the procedures for realization of each construction, followed at some moments by original solution of the work. At the same time, we encourage students to investigate/reflect its construction (GeoGebra), in addition to making comparisons with the solution Mascheroni. This notebook was applied to two classes of the course of Didactics of Mathematics I (MAT0367) Course in Mathematics UFRN in 2014. Knowing the existence of some unfavorable arguments regarding the use of history of mathematics, such as loss of time, it was found that this factor can be mitigated with the aid of computational resource, because we can make checks using only the dynamism of and software without repeating the construction. It is noteworthy that the minimized time does not mean loss of reflection or maturation of ideas, when we adopted the process of historical and/or Mathematics Investigation

The making and unmaking of heritage

Heritage is defined by history which is by nature multi layered. The passage of time and the perspectives it affords, enables and even necessitates constant reexamination and reinterpretation of history. What effect do changes in historical perspective then have upon the definition of heritage which relies on an understanding of its history? The present paper attempts to engage with the notion of heritage, criteria of its definition, and the mutable nature of such designations with specific reference to architectural constructions and historical cities that enjoy or have enjoyed in the past the status of a ‘World Heritage Site’. Examples such as the Louvre museum in Paris or the King’s Cross station in London make an interesting study as they not only allow insight into the past but reflect the changes and adaptation over a period of time. Multiple alterations, some very recently, have modified them extensively since the time they were accorded the ‘World Heritage Site’ status. The above examples are contrasted by sites ridden with conflict such as the Bamiyan Valley. This site has been placed under the ‘World Heritage In Danger’ list by UNESCO taking into account the destruction of the Buddha statues in the region. The act of vandalism itself has had dual implications. While causing an irreparable loss to mankind of its heritage, it also serves as an effective symbol of religious fanaticism that is a pressing concern of our times. The paper then moves on to explore the case of Dresden which lost its ‘World Heritage’ status with the construction of the Waldschlösschen Bridge. This is a particularly interesting case because with the absolute destruction of the city during the Second World War, it was necessary to reconstruct the historical city while simultaneously acknowledging and addressing the modern day requirements. During the reconstruction, with the readaptation of the spaces, it was almost impossible to replicate the original architectural program or to undertake such a large reconstruction project employing only the traditional techniques and materials. This essentially made it a new city constructed in the image of the old. The recent necessity of a growing city was met by the construction of a bridge that has caused it to lose its ‘World Heritage’ status. Finally, this paper endeavours to foster discussion of questions central to the definition of heritage such as what happens when we have to adapt a living space to avoid its deterioration and descent into dereliction by overuse. Does it necessarily lose its historical value? What exactly is Historical value?.

Martin Heidegger's Mathematical Dialectic: Uncovering the Structure of Modernity

Martin Heidegger is generally regarded as one of the most significant—if also the most controversial—philosophers of the 20th century. Most scholarly engagement with Heidegger’s thought on Modernity approaches his work with a special focus on either his critique of technology, or on his more general critique of subjectivity. This dissertation project attempts to elucidate Martin Heidegger’s diagnosis of modernity, and, by extension, his thought as a whole, from the neglected standpoint of his understanding of mathematics, which he explicitly identifies as the essence of modernity.

Accordingly, our project attempts to work through the development of Modernity, as Heidegger understands it, on the basis of what we call a “mathematical dialectic.“ The basis of our analysis is that Heidegger’s understanding of Modernity, both on its own terms and in the context of his theory of history [Seinsgeschichte], is best understood in terms of the interaction between two essential, “mathematical” characteristics, namely, self-grounding and homogeneity. This project first investigates the mathematical qualities of these components of Modernity individually, and then attempts to trace the historical and philosophical development of Modernity on the basis of the interaction between these two components—an interaction that is, we argue, itself regulated by the structure of the mathematical, according to Heidegger’s understanding of the term.

The project undertaken here intends not only to serve as an interpretive, scholarly function of elucidating Heidegger’s understanding of Modernity, but also to advance the larger aim of defending the prescience, structural coherence, and relevance of Heidegger’s diagnosis of Modernity as such.

Unnatural History: Ecological Temporality in Post-1945 American Literature

While environmental literary criticism has traditionally focused its attention on the textual representation of specific places, recent ecocritical scholarship has expanded this focus to consider the treatment of time in environmental literature and culture. As environmental scholars, activists, scientists, and artists have noted, one of the major difficulties in grasping the reality and implications of climate change is a limited temporal imagination. In other words, the ability to comprehend and integrate different shapes, scales, and speeds of history is a precondition for ecologically sustainable and socially equitable responses to climate change.

My project examines the role that literary works might play in helping to create such an expanded sense of history. As I show how American writers after 1945 have treated the representation of time and history in relation to environmental questions, I distinguish between two textual subfields of environmental temporality. The first, which I argue is characteristic of mainstream environmentalism, is disjunctive, with abrupt environmental changes separating the past and the present. This subfield contains many canonical works of postwar American environmental writing, including Aldo Leopold’s A Sand County Almanac, Edward Abbey’s Desert Solitaire, Annie Dillard’s Pilgrim at Tinker Creek, and Kim Stanley Robinson’s Science in the Capital trilogy. From treatises on the ancient ecological histories of particular sites to meditations on the speed of climate change, these works evince a preoccupation with environmental time that has not been acknowledged within the spatially oriented field of environmental criticism. However, by positing radical breaks between environmental pasts and environmental futures, they ultimately enervate the political charge of history and elide the human dimensions of environmental change, in terms both of environmental injustice and of possible social responses.

By contrast, the second subfield, which I argue is characteristic of environmental justice, is continuous, showing how historical patterns persist even across social and ecological transformations. I trace this version of environmental thought through a multicultural corpus of novels consisting of Ralph Ellison’s Invisible Man, Ishmael Reed’s Mumbo Jumbo, Helena María Viramontes’ Under the Feet of Jesus, Linda Hogan’s Solar Storms, and Octavia Butler’s Parable of the Sower and Parable of the Talents. Some of these novels do not document specific instances of environmental degradation or environmental injustice and, as a result, have not been critically interpreted as relevant for environmental analysis; others are more explicit in their discussion of environmental issues and are recognized as part of the canon of American environmental literature. However, I demonstrate that, across all of these texts, counterhegemonic understandings of history inform resistance to environmental degradation and exploitation. These texts show that environmental problems cannot be fully understood, nor environmental futures addressed, without recognizing the way that social histories of inequality and environmental histories of extraction continue to structure politics and ecology in the present.

Ultimately, then, the project offers three conclusions. First, it suggests that the second version of environmental temporality holds more value than the first for environmental cultural studies, in that it more compellingly and accurately represents the social implications of environmental issues. Second, it shows that “environmental literature” is most usefully understood not as the literature that explicitly treats environmental issues, but rather as the literature that helps to produce the sense of time that contemporary environmental crises require. Third, it shows how literary works can not only illuminate the relationship between American ideas about nature and social justice, but also operate as a specifically literary form of eco-political activism.

Learning to 'understand backwards' in time: children's temporal cognition and the primary history curriculum

This study examines children’s temporal ways of knowing and it highlights the centrality of temporal cognition in the development of children’s historical understanding. It explores how young children conceptualise time and it examines the provision for temporal cognition at the levels of the intended, enacted and received history curriculum in the Irish primary school context. Positioning temporality as a prerequisite second-order concept, the study recognises the essential role of both first-order and additional second-order concepts in historical understanding. While the former can be defined as the basic, substantive content to be taught, the latter refers to a number of additional key concepts that are deemed fundamental to children's capacity to make meaningful sense of history. The study argues for due recognition to be given to temporality, in the belief that both sets of knowledge, the content and skills, are required to develop historical thinking (Lévesque, 2011). The study addresses a number of key research questions, using a mixed methods research design, comprising an analysis of history textbooks, a survey among final year student teachers about their teaching of history, and school-based interviews with primary school children: What opportunities are available for children to develop temporal ways of knowing? How do student teachers experience being apprenticed into the available culture for teaching history and understanding temporality at primary level? What insights do the cognitive-developmental and sociocultural perspectives on learning provide for understanding the dynamics of children’s temporal ways of knowing? The study argues that the skill of developing a deeper understanding of time is a key prerequisite in connecting with, and constructing, understandings and frameworks of the past. The study advances a view of temporality as complex, multi-faceted and developmental. The findings have a potential contribution to make in influencing policy and pedagogy in establishing an elaborated and well-defined curriculum framework for developing temporal cognition at both national and international levels.

Processes of social flourishing and their liminal collapse: elements to a genealogy of globalization

This article aims at exploring a long-term historical perspective on which contemporary globalization can be more meaningfully situated. A central problem with established approaches to globalization is that they are even more presentist than the literature on modernization was. Presentism not only means the ignoring of history, but also the unreflective application to history of concepts taken from the study of the modern world. In contrast, it is argued that contemporary globalization is not a unique development, but rather is a concrete case of a historical type. Taking as its point of departure the spirit, rather than the word, of Max Weber, this article extends the scope of sociological investigation into archaeological evidence. Having a genealogical design and introducing the concept of ‘liminality’, the article approaches the modern process of globalization through reconstructing the internal dynamics of another type of historical change called ‘social flourishing’. Taking up the Weberian approach continued by Eisenstadt in his writings on ‘axial age’, it moves away from situations of crisis as reference point, shifting attention to periods of revival by introducing the term ‘epiphany’. Through the case of early Mesopotamia, it shows how social flourishing can be transmogrified into globalizing growth, gaining a new perspective concerning the kind of ‘animating spirit’ that might have driven the shift from Renaissance to Reformation, the rise of modern colonialism, or contemporary globalization. More generally, it will retrieve the long-term historical background of the axial age and demonstrate the usefulness and importance of archaeological evidence for sociology.

Apocalyptic Discourse in Contemporary Culture: Post-Millennial Perspectives of the End of the World

This interdisciplinary collection of essays focuses on critical and theoretical responses to the apocalypse of the late twentieth- and early twenty-first-century cultural production. Examining the ways in which apocalyptic discourses have had an impact on how we read the world’s globalised space, the traumatic burden of history, and the mutual relationship between language and eschatological belief, fifteen original essays by a group of internationally established and emerging critics reflect on the apocalypse, its past tradition, pervasive present and future legacy. The collection seeks to offer a new reading of the apocalypse, understood as a complex – and, frequently, paradoxical – paradigm of (contemporary) Western culture. The majority of published collections on the subject have been published prior to the year 2000 and, in their majority of cases, locate the apocalypse in the future and envision it as something imminent. This collection offers a post-millennial perspective that perceives "the end" as immanent and, simultaneously, rooted in the past tradition.

The European Union Foreign Policy in the Caucasus and Central Asia: The Limitations of the Opening towards the East

This article intends to study the evolution of the European Union foreign policy in the Southern Caucasus and Central Area throughout the Post-Cold War era. The aim is to analyze Brussels’ fundamental interests and limitations in the area, the strategies it has implemented in the last few years, and the extent to which the EU has been able to undermine the regional hegemons’ traditional supremacy. As will be highlighted, the Community’s chronic weaknesses, the local determination to preserve sovereignty and an increasing international geopolitical competition undermine any European aspiration to become a pre-eminent actor at the heart of the Eurasian continent in the near future.

“Animanazo”. Song and memories. Cultural expressions and movements in the reconstruction of the past inside a north Argentinian town

This article analyses the context of production and local situations of appropriation and resignification related to the folk song “Fire on Animaná” as well as the request and mobilization (“The animanazo”) provoked by this song in order to examine different mechanisms and foundations by which a population connect with an event from its community past, identifying with this and taking it in a specific way. In this article we combine discourse analysis of the song and of interviews to participants in this event with the reconstruction —through ethnographic observation— of how to use this song.

Daughter of Eve, "Femme Fatale", and Persecuted Artist: The Mythic Transgressive Woman in Oscar Wilde's and Richard Strauss's "Salome"

Historically, Salome was an unexceptional figure who never catalyzed John the Baptist's death. However, in Christian Scripture, she becomes the dancing seductress as fallen daughter of Eve.  Her stepfather Herod promises Salome his kingdom if she dances for him, but she follows her mother’s wish to have John beheaded. In Strauss’s opera, after Wilde's Symbolist-Decadent play, Salome becomes independent of Herodias’ will, and the mythic avatar of the femme fatale and persecuted artist who Herod has killed after she kisses John's severed head.  Her signature key of C# major, resolving to the C major sung by Herod and Jokanaan at her death, represent her tragic fate musically.

The redemption of the past. On a main motif in Walter Benjamin’s work

The following paper examines Walter Benjamin’s reflection on the category of “redemption”, mainly developed in the theses On the concept of History. To this end, we will try firstly to reconstruct Benjamin’s critique of “fate”, as it unfolds in the twenties on the field of right, economy and, especially, history. The critique of the expiatory logic of “fate” – developed in essays such as Fate and Character, Critique of violence or Capitalism as religion – will then allow us to disclose the “dialectical” structure of redemption, whereby Benjamin mobilizes his previous theory of knowledge against the doctrine of progress.

Negative Archaeology. The Archaeological Borders of the Present

Nowadays, archaeology is trying to redefine its relation with objects. This change is taking place at the same time as the West is breaking once and for all with the generation who did the rural exodus in the mid of the twentieth century. The present paper proposes a revision of the conditions that allow us to both define this rupture and at the same time determine our affinity with materiality. This is done through a reconsideration of the relation between the past and the present and the dynamics marking this difference. We are situated in a moment when the experience of time is shifting and thus so is the integrity of archaeological objects. Under the name of Negative Archaeology, the border between past and present is explored. This border determines the creation of the past in a present which intends to homogenise changes. Archaeology is a unique discipline which could prevent this process, or at least bear witness to the dynamics to which objects seem to be subjected. Obscolescence is introduced as a concept in an attempt to name the aforementioned problem.

Discovery and settlement of Alaska coaster

Tsar Peter the Great ruled Russia between 1689 and 1725. Its domains, stretching from the Baltic Sea in the west to the Pacific Ocean in the east. From north to south, its empire stretching from the Arctic Ocean to the borders with China and India. Tsar Peter I tried to extend the geographical knowledge of his government and the rest of the world. He was also interested in the expansion of trade in Russia and in the control of trade routes. Feodor Luzhin and Ivan Yeverinov explored the eastern border of the Russian Empire, the trip between 1719 and 1721 and reported to the Tsar. They had crossed the peninsula of Kamchatka, from west to east and had traveled from the west coast of Kamchatka to the Kuril Islands. The information collected led to the first map of Kamchatka and the Kuril Islands. Tsar Peter ordered Bering surf the Russian Pacific coast, build ships and sail the seas north along the coast to regions of America. The second expedition found equal to those of the previous explorers difficulties. Two ships were eventually thrown away in Okhotsk in 1740. The explorers spent the winter of 1740-1741 stockpiling supplies and then navigate to Petropavlovsk. The two ships sailed eastward and did together until June 20, then separated by fog. After searching Chirikov and his boat for several days, Bering ordered the San Pedro continue to the northeast. There the Russian sailors first sighted Alaska. According to the log, "At 12:30 (pm July 17) in sight of snow-capped mountains and between them a high volcano." This finding came the day of St. Elijah and so named the mountain.

The Devil and Views on the “Other” in Part One of Pedro Cieza de León’s "Crónica del Perú" (1553)

Many 16th century Spanish chroniclers and missionaries, arriving at what they interpreted as a New World, saw the Devil as a “hermeneutic wildcard” that allowed them to comprehend indigenous religions. Pedro Cieza de León, a soldier in the conquest of Peru, is a case in point. Cieza considers the Devil responsible for the most aberrant religious practices and customs of the Indians, although he views the natives in a positive light, as men susceptible to divine salvation. From a providentialist perspective of the history of the conquest, Cieza interprets that the evangelization and conversion of the Indians and the implantation of Christian civilization by the Spanish Crown, were able to defeat the Devil.

Fiction and reality in "The Kindly Ones" of Jonathan Littell

This paper studies the novel The Kindly Ones, whose main plot charts the anguished memories of a Nazi officer. The reader of this novel is plunged into the harshest atrocities of the Holocaust and WWII, as these are recounted by a perverse conscience who is unmoved by the most terrible actions. Fiction and reality are contrasted in the novel against the framework of history writing and the subsequent debates sparked by historical elaboration. This novel perceptively captures historical truth, thus calling for critical attention upon the collective responsibility which will prevent the repetition of events.