Slovenian 1989: Elite Construction of a National Democracy

Slovene 1989 started in May 1988, after the arrest of Janez Janša and the Foundation of Odbor, and finished in September 1989, when the ideological configuration of the sovereigntist process was institutionalised through a substantial constitutional reform carried out by the Assembly of the Republic, still solely ruled by the communists. Odbor and the developments after the "Slovenian spring" of 1988 – which triggered nationalist mobilisation – accelerated the pluralisation of the system and advanced the creation of new political parties in the country. Through the analysis of the Slovene transition it is possible to observe 1989 as a time in which social mobilisation merely played a subsidiary role in political change in relation to political elites, characterized by the consolidation of a new paradigm of legitimacy and, above all, for its insertion in the sovereigntist process that was taking place in that Yugoslav republic. During that period, Slovene ideological elites delimited a common political space characterized by confrontational attitudes towards the Yugoslav federal institutions from a nationalist perspective

¿Realidad en las matemáticas escolares?: reflexiones acerca de la “realidad” en modelación en educación matemática

En el artículo se presentan algunas reflexiones de dos profesores de matemáticas construidas a partir de la discusión en un seminario sobre modelación matemática orientado por el Grupo de Investigación en Educación Matemática e Historia (UdeA-Eafit). En las reflexiones los profesores defienden algunas de las funciones sociales de las matemáticas escolares y resignifican su noción de “realidad” presente en sus prácticas en aula de clase, hacia una noción de realidad que involucra contextos asociados a la cotidianidad de los estudiantes, a los aspectos sociales, culturales, de consumo o de otras ciencias

John's ellipsoid and the integral ratio of a log-concave function

We extend the notion of John’s ellipsoid to the setting of integrable log-concave functions. This will allow us to define the integral ratio of a log-concave function, which will extend the notion of volume ratio, and we will find the log-concave function maximizing the integral ratio. A reverse functional affine isoperimetric inequality will be given, written in terms of this integral ratio. This can be viewed as a stability version of the functional affine isoperimetric inequality.Ministerio de Economía y CompetitividadFondo Europeo de Desarrollo RegionalConsejería de Industria, Turismo, Empresa e Innovación (Comunidad Autónoma de la Región de Murcia)Coordenação de aperfeiçoamento de pessoal de nivel superiorInstituto Nacional de Matemática Pura e Aplicad

Hypertrophy as NATO’s Masculinity: Out-of-Area Operations and Enlargements in the Post-Cold War Context

The Russian intervention in Ukraine in February 2022 has served as a catalyst or actualizer of a long-standing trend in NATO: that of justifying its existence by its geographical expansion. This is both in organic terms, through the incorporation of new states into its structure, and in operational terms, through the execution of so-called out-of-area operations, and the intensification of its rivalry with Russia. This dynamic, which has been firmly established since the mid-1990s, has been overridden by the growing contradictions between the interests of its members, the successive changes in US administrations, and the transformation of the international system, characterized by an inexorable trend toward multipolarity. Altogether, these factors explain the extent to which NATO is facing a definitive choice. Starting with the implications of the war in Ukraine for NATO, this article provides a historical analysis of this phenomenon, noting the vicissitudes of NATO’s enlargements and operations over the past thirty years, and how these activities have enabled the alliance to weather the successive internal crises it has faced. Ultimately, the authors argue that the war in Ukraine marks the end of this dynamic and of NATO’s masculinist dilemma either to limit its operations to the defense of its members (in line with the collective security clause enshrined in Article 5 of the North Atlantic Treaty) or to complete pending enlargement processes, thereby endangering international peace and security

Sense of Reality through mathematical modeling

We present the results of a research project which deals with a qualitative case study in the field of mathematical modeling. The study investigates the role of "real" life modeling situations of the learner in the construction of mathematical knowledge at school. The study of episodes, interviews, questionnaires and direct observations allowed analysis on how teachers describe their teaching performance when approaching the content of school mathematics. However, the most important aspect was to be able to detect the necessity of a "sense of reality", which is characterized in this paper. The development of this research project shows that it is still necessary to develop a sense of reality as a tool to facilitate interaction between the socio-cultural context and school mathematics, all through modeling