Utilización de la Historia de las Matemáticas en clase con alumnos de 6 a 13 años

En mi conferencia consideraré varias maneras de utilizar la historia de las matemáticas en la didáctica de las matemáticas para la escuela obligatoria; se trata de experiencias y reflexiones relacionadas con la elaboración y la experimentación de currículos para la enseñanza de las Matemáticas en las edades comprendidas entre los 6 y los 13 años, desarrollados a partir de 1975 en el grupo de universitarios y enseñantes que coordino personalmente en Génova. El trabajo se ha efectuado en colaboración con Elda Guala; algunos artículos relacionados con estas cuestiones ya han sido publicados o están en curso de publicación.

De la resolución de ecuaciones polinómicas al álgebra abstracta: un paseo a través de la historia

Realizaremos un paseo histórico a lo que ha sido la resolución de ecuaciones polinómicas y en general el desarrollo del álgebra. La intención es presentar una síntesis de algunas de las dificultades que se enfrentaron a lo largo de la historia, en la construcción de los significados y conceptos matemáticos, referidos principalmente a la resolución de ecuaciones polinómicas y al desarrollo del álgebra abstracta.

La capilla del Cristo de las Descalzas Reales de Madrid: arte y liturgia en el siglo XVI

Estudio de la capilla del Cristo de las Descalzas Reales de Madrid que analiza la historia de la obra, sus aspectos artísticos y su significado. Las circunstancias de la fundación del monasterio explican la función de la capilla como escenario de las especiales ceremonias litúrgicas del Viernes Santo y del Domingo de Resurrección instauradas en razón de su origen, lo que permite asimismo fijar su ejecución entre las obras de su etapa fundacional, probablemente entre 1560 y 1565, diseñada por artistas de los talleres reales. Se aporta noticia documental sobre Diego de Urbina y Juan de Cerecedo como pintores al servicio de Juana de Austria en ese momento.

Nationalist Multiculturalism in Late Imperial Austria as a Critique of Contemporary Liberalism: The Case of Bauer and Renner,

This article evaluates Bauer's theory of the nation and the debateon national-cultural autonomy in late imperial Austria. It finds important similarities with contemporary liberal debates on multiculturalism and the rights of ethnic and national minorities. It argues that the debate on national-cultural autonomy went in some respects beyond the contemporary debate on multiculturalism. National-cultural autonomy rejects the idea of the nation-state and proposes instead a multi-nation-state that recognises differential rights for ethnic and national minorities. It seeks to break the limitations of liberal democracy and the territorial principle of the nation-state by organising national communities as deterritorialised national corporations, and multination-states as territorialised non-national identities.

Inventing the Origin of Theatre History: The Modern Uses of Juba II's 'teatriké historia'

Late Pleistocene climate change and landscape dynamics in the Eastern Alps: the inner-alpine Unterangerberg record (Austria)

Drill cores from the inner-alpine valley terrace of Unterangerberg, located in the Eastern Alps of Austria, offer first insights into a Pleistocene sedimentary record that was not accessible so far. The succession comprises diamict, gravel, sand, lignite and thick, fine grained sediments. Additionally, cataclastic deposits originating from two paleo-landslide events are present. Multi-proxy analyses including sedimentological and palynological investigations as well as radiocarbon and luminescence data record the onset of the last glacial period (Wurmian) at Unterangerberg at similar to 120-110 ka. This first time period, correlated to the MIS 5d, was characterised by strong fluvial aggradation under cold climatic conditions, with only sparse vegetation cover. Furthermore, two large and quasi-synchronous landslide events occurred during this time interval. No record of the first Early Wiirmian interstadial (MIS 5c) is preserved. During the second Early Wiirmian interstadial (MIS 5a), the local vegetation was characterised by a boreal forest dominated by Picea, with few thermophilous elements. The subsequent collapse of the vegetation is recorded by sediments dated to similar to 70-60 ka (i.e. MIS 4), with very low pollen concentrations and the potential presence of permafrost. Climatic conditions improved again between similar to 55 and 45 ka (MIS 3) and cold-adapted trees re-appeared during interstadials, forming an open forest vegetation. MIS 3 stadials were shorter and less severe than the MIS 4 at Unterangerberg, and vegetation during these cold phases was mainly composed of shrubs, herbs and grasses, similar to what is known from today's alpine timberline. The Unterangerberg record ended at similar to 45 ka and/or was truncated by ice during the Last Glacial Maximum. (C) 2013 Elsevier Ltd. All rights reserved.

Long-term mass balance of perennial firn and ice in an Alpine cave (Austria):Constraints from radiocarbon-dated wood fragments

Hundsalm ice cave located at 1520 m altitude in a karst region of western Austria contains up to 7-m-thick deposits of snow, firn and congelation ice. Wood fragments exposed in the lower parts of an ice and firn wall were radiocarbon accelerator mass spectrometry (AMS) dated. Although the local stratigraphy is complex, the 19 individual dates - the largest currently available radiocarbon dataset for an Alpine ice cave - allow to place constraints on the accumulation and ablation history of the cave ice. Most of the cave was either ice free or contained only a small firn and ice body during the 'Roman Warm Period'; dates of three wood fragments mark the onset of firn and ice build-up in the 6th and 7th century ad. In the central part of the cave, the oldest samples date back to the 13th century and record ice growth coeval with the onset of the 'Little Ice Age'. The majority of the ice and firn deposit, albeit compromised by a disturbed stratigraphy, appears to have been formed during the subsequent centuries, supported by wood samples from the 15th to the 17th century. The oldest wood remains found so far inside the ice is from the end of the Bronze Age and implies that local relics of prehistoric ice may be preserved in this cave. The wood record from Hundsalm ice cave shows parallels to the Alpine glacier history of the last three millennia, for example, the lack of preserved wood remains during periods of known glacier minima, and underscores the potential of firn and ice in karst cavities as a long-term palaeoclimate archive, which has been degrading at an alarming rate in recent years. © The Author(s) 2013.