Problemas de Relojes. Ejemplos Históricos y Consideraciones Didácticas

Abordamos un problema matemático clásico: aquel en el que se trata de calcular el tiempo que debe transcurrir, a partir de una hora determinada, para que las manecillas de un reloj ocupen una posición concreta. En particular, nos centramos en el caso en que la disposición requerida es que las agujas estén superpuestas. En este artículo, presentamos diversos ejemplos extraídos de textos clásicos y del siglo XIX que ilustran distintos contextos en los que se presenta el problema, así como diferentes métodos de resolución. Además, como consecuencia de dicho análisis, presentamos algunas consideraciones didácticas que pueden motivar el trabajo de estos materiales con profesorado en formación

Zahlbereichserweiterungen als Kernlinie des Lehrplans - Probleme und Alternativen

Copy held by FIZ Karlsruhe; available from UB/TIB Hannover / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman

Zahlbereichserweiterungen als Kernlinie des Lehrplans - Probleme und Alternativen

Copy held by FIZ Karlsruhe; available from UB/TIB Hannover / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman

From a port for traders to a town of merchants: exploring the topography, activities and dynamics of early medieval Copenhagen

Copenhagen’s earliest history has long been shrouded in uncertainties. This is mainly due to insufficient source material. Basic questions – how old is the town, how did it originate, and where was the oldest settlement situated? – are still under discussion, as are questions regarding specific features of the early medieval town. Was Absalon’s twelfth-century castle preceded by an earlier one? What does a centrally placed, early medieval horseshoe-shaped enclosure surrounded by a massive ditch represent? Using archaeological results from recent major excavations, combined with Bayesian modelling of new 14C dates from the two early cemeteries of Sankt Clemens and Rådhuspladsen, older archaeological information and the medieval written sources on Copenhagen are revisited to form a new interpretation of the early development of the town. Three phases of topographical development from the eleventh to the early thirteenth century are recognised. The changes tell of a dynamic first two hundred years of the town’s history and of its changing role in Danish society. The article explores the people, activities and networks that lie behind the outstanding development from the small early settlement of the eleventh century to the flourishing merchant town of the thirteenth century