Looking Again at the Mathematical Situation

1948 ◽  
Vol 41 (8) ◽  
pp. 372-381
Author(s):  
William Betz

For nearly six decades there have been almost continuous efforts to reform mathematical instruction. A comprehensive account of these efforts will serve to bring out a number of significant facts.1 For example, from the very beginning this movement has had an international character. Moreover, in the world's leading countries it was sponsored by outstanding mathematicians and scientists. That is, the original impetus toward mathematical reform came from distinguished scholars connected with higher institutons of learning. And the issues which engaged their attention are as vital today as they were at the turn of the century. Among them may be mentioned the development of a continuous program extending from the kindergarten to the university; a persistent emphasis on such central themes as functional thinking or the study of relationships; the elimination of “inert ideas” and useless details; a genuine acquaintance with certain key concepts and methods of modern mathematics; a closer correlation of mathematics and science; the abandonment of purely mechanical drill in favor of real understanding and purposeful application; and, above all, a keen appreciation of the role of mathematics in the modern world.

Author(s):  
Nina Engelhardt

Chapter 2, focusing on Broch’s The Sleepwalkers, analyses relations between mathematics and turn-of-the-century scepticism of language and investigation of form. The novel trilogy engages with research on the relations of mathematics and language, particularly by Gottlob Frege, and with the new approaches that emerge with it: the formalised language of analytic philosophy and literary formalism’s concentration on language as the basic building block of texts. The chapter also investigates how a competition of methodologies in modern mathematics informs the innovative form of the trilogy: it argues that the stylistically experimental third novel is informed by the central debate in the foundational crisis of mathematics, and traces the trilogy’s visions of total disintegration and valuelessness and, on the other hand, renewal through a counter-movement towards a non-rational element of common intuition to formalist and intuitionist approaches in mathematics. With its main focus on ways in which mathematics features as a structural model in The Sleepwalkers, this chapter shows how the trilogy presents mathematics as deeply implicated in the cultural development and explores the role of its modernist transformation for the form of the trilogy and Broch’s conception of modernist literature.


2018 ◽  
Vol 50 ◽  
pp. 01185
Author(s):  
Marina Krapivina ◽  
Vitaly Tomin ◽  
Natalia Eremina

Teaching English for specific purposes to non-linguistic students presents some challenges due to several factors. They are determined by the growing demands of the global economy towards the level of professional competence, diversification of the employers ‘demands to the employees and the need to account for the cultural peculiarities of regional economies. The authors present a study of organizing the process of English for specific purposes teaching considering linguacultural features. The authors assess the role of English in the modern world and the global economy. English continues to change the language behaviour of people around the globe and is currently the primary tool for large-scale bilingualism. The article analyses the main linguacultural features of different regional business communities’ representatives. The article outlines the primary courses design requirements: the communicative orientation and integrating the linguacultural features of professional communication. The authors substantiate the need to develop a methodological, theoretical and practical basis for the implementation of the linguacultural component of the course for the university students.


1997 ◽  
Vol 59 (1) ◽  
pp. 75-96 ◽  
Author(s):  
Alan Milchman ◽  
Alan Rosenberg

Martin Heidegger's rectorate (1933–1934) was characterized by an incontestable involvement with Nazism. However, neither the rectorate, nor Heidegger's ambitious project for the transformation of the university within which it was embedded, was reducible to Nazism. Indeed, Heidegger's project to transform the university dates from his earliest lecture courses at Freiburg University in 1919 and was a hallmark of his thinking long before the rise of Nazism. That project was itself linked to the long-standing dispute in German academia over the role of the university in the modern world, which involved such thinkers as Kant, Schelling, Schopenhauer, and Nietzsche. Despite the entanglement with Nazism, which stamped his rectorate, Heidegger's thinking about the university as a site for the transformation of human existence is especially pertinent today.


Author(s):  
Л. Иванова ◽  
L. Ivanova ◽  
Е. Лукомская ◽  
E. Lukomskaya

The article deals with a new trend in foreign language teaching based on the cross-cultural approach. The challenge for teachers today is to develop students common, communicative and language competences which are essential conditions for the realization of such a task of modern language policy as the establishment of mutual understanding between different cultures. The components of communicative competence are established. The development of communicative competence is considered to be an obligatory condition for mutual understanding between nations in modern world.


2014 ◽  
Vol 52 (4) ◽  
pp. 1165-1167

Steven Horwitz of St. Lawrence University reviews “F. A. Hayek and the Modern Economy: Economic Organization and Activity”, by Sandra J. Peart and David M. Levy. The Econlit abstract of this book begins: “Ten papers, resulting from the ""Hayek and the Modern World" conference held at the University of Richmond in April 2013, explore the role of human agency in Friedrich Hayek's thought and consider his writings as they relate to economic organization and activity, particularly to assess what role he assigns to leaders in determining economic progress. Papers discuss Hayek's unsentimental liberalism (Peter McNamara); Hayek and the ""individualists" (Sandra J. Peart and David M. Levy); the evolution, evaluation, and reform of social morality--a Hayekian analysis (Gerald Gaus); Hayek and the conditions of freedom (Kenneth Minogue); Hayek and the early foundations of spontaneous order (Emily Skarbek); Hayek and the nomothetes (Christopher S. Martin); the control of engagement order--Clement Attlee's road to serfdom? (Ekkehard A. Köhler and Stefan Koler); Hayekian perspectives on Canada's economic and social reforms of the 1990s (Jason Clemens and Niels Veldhuis); the conjoint quest for a liberal positive program--""Old Chicago," Freiburg, and Hayek (Andrew Farrant and Nicola Tynan); and Hayek and Václav Klaus's life (Klaus). Peart is Dean of the Jepson School of Leadership Studies at the University of Richmond. Levy is Professor of Economics at George Mason University and Distinguished Fellow of the History of Economics Society.”


2017 ◽  
pp. 112-122
Author(s):  
Paulina Sosnowska

The aim of the article is to elucidate the reasons why the critical pedagogue Henry A. Giroux, in his recent works, was inspired by the thought (in many aspects completely different) of Hannah Arendt, particularly by her analyses concerning the role of public spaces and the power of judgement in the modern world. The article develops three contact points in which the two distinct paradigms meet. They are: the metaphor of the “dark times”, adopted by Giroux, public spaces and the university.


2014 ◽  
Vol 4 (1) ◽  
pp. 6-23 ◽  
Author(s):  
Lea Kuusilehto-Awale ◽  
Tapio Lahtero

This article views behind the success of the Finnish basic education in the PISA assessments in the years 2000, 2003, 2006 and 2009. Success is here defined not only as excellent learning outcomes in reading literacy, mathematics and science, but also as a high level of educational equity and equality. The achieved outcomes are attributable to several factors, of which this article addresses especially the basic education reform of 1972-1977 and the university based teacher education leading to a master’s degree. Additional attention is paid to the autonomy of the municipalities (counties), schools and teachers in building and implementing the curricula, on the respect for learning and teachers in the Finnish society, and on the role of the Finnish evaluation system in supporting the student’s learning. Developing education is a long range effort continuing across election terms, as education is understood to be a cornerstone for the development of the society. This fact justifies our describing some of the Finnish national background bases for the comprehensive basic education system, where all students study in the same group.DOI: http://dx.doi.org/10.3126/jer.v4i1.9619 Journal of Education and Research, March 2014, Vol. 4, No. 1, pp. 1-18


2012 ◽  
Vol 10 (2) ◽  
pp. 385-396 ◽  
Author(s):  
Lisa Anderson

This article argues that the technological structure of the modern world has reshaped drastically the role of political scientists as purveyors of information. Only a few decades ago, scholars were still central to the development, collection and dissemination of knowledge. But the transformation in the availability of data due to the proliferation of social media and research engines creates a new environment in which scholars can no longer claim to be the erudite carriers of hard-to-get facts. In order to play a constructive role in this quickly changing setting, political scientists need to invent a new identity for themselves as active practitioners engaged in a dynamic dialogue with students and policymakers.


Perichoresis ◽  
2015 ◽  
Vol 13 (2) ◽  
pp. 97-113
Author(s):  
Hanna Lindberg

Abstract The article examines the role of Christianity in the work of Heikki Waris (1901-1989), Professor of Social Policy at the University of Helsinki from 1948 to 1968. In studies on the historical foundations of different models of welfare, Lutheranism is often mentioned as a characteristic feature of the Nordic model. Previous research has, however, not to any larger extent examined the role of religion when analysing the work of so-called welfare experts. The article draws attention to importance of Christianity and the Lutheran Church, when analysing the work of a central architect of the Finnish welfare state. The article examines how Waris’ background within the Settlement movement influenced his later academic and social political work. Furthermore, it looks at how Waris dealt with religion, Christianity, the Lutheran Church and faith in his work on social policy and social change. The connection between social policy and Christianity is analysed more closely, both in Waris’ academic texts and the reports he wrote for the Lutheran Church on the challenges of the modern world.


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