Didáctica e historia de las matemáticas

Nuestro trabajo en la E.U. de Formación de Maestros de Ciudad Real, nos ha ofrecido la posibilidad de orientarnos hacia un campo muy específico de las matemáticas como es el de su didáctica. En los estudios universitarios de la Licenciatura de Matemáticas hemos recibido una formación vacía en Didáctica. Ha sido pues el trabajo con nuestros alumnos en el aula, la búsqueda de libros, cursos y compañeros interesados en este tema, los que han posibilitado esta experiencia.

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.

The missing link between information and action: hastenings and delays as universal reactions to performance feedback

This chapter focuses on what the key decision makers in organizations decide after having received information on the current state of the organizational performance. Because of strong attributions to success and failure, it is impossible to predict in advance which concrete actions will occur. We can however find out what kinds of actions are decided upon by means of an organizational learning model that focuses on the hastenings and delays after performance feedback. As an illustration, the responses to performance signals by trainers and club owners in Dutch soccer clubs are analyzed.

Complex coastal oceanographic fields can be described by universal multifractals

Characterization of chlorophyll and sea surface temperature (SST) structural heterogeneity using their scaling properties can provide a useful tool to estimate the relative importance of key physical and biological drivers. Seasonal, annual, and also instantaneous spatial distributions of chlorophyll and SST, determined from satellite measurements, in seven different coastal and shelf-sea regions around the UK have been studied. It is shown that multifractals provide a very good approximation to the scaling properties of the data: in fact, the multifractal scaling function is well approximated by universal multifractal theory. The consequence is that all of the statistical information about data structure can be reduced to being described by two parameters. It is further shown that also bathymetry scales in the studied regions as multifractal. The SST and chlorophyll multifractal structures are then explained as an effect of bathymetry and turbulence.

Adaptation to the Environment: Changes in Initial Projects in Ottoman Shephardic Press

The origins of Sephardic press date back to the mid-20th century, when the influence of the Western world spread across the Sephardim communities of the East. The content of these newspapers was diverse: pieces of general interest, but also scientific, literary and humorous works, with various political orientations. These papers were published in different languages, writing styles and alphabets. Those to be analysed here, however, were published in aljamiado Judeo-Spanish: three papers from Smyrna and one from Salonica. Throughout this work we will focus on the different obstacles and difficulties the editors and publishers of this Ottoman Sephardic press had to face to bring their publications to light.

The first chronicle of Miguel Hernandez: The New Journalism (1936-1939)

This paper presents and analyzes the first literary-journalistic chronicle writen and published by Miguel Hernández: “Defensa de Madrid. Madrid y las ciudades de Retaguardia”, during the Spanish Civil War (1936-1939). This chronicle is the first one of a series establishing a new and personal type of journalism: literary chronicles –poetical and political-. Miguel Hernandez published his masterpieces in different newspapers as a war reporter, with his own name and with a pen-name, playing roles of director and political commissar in different newspapers in the war-trenches. Thematically, this first article shows his personal and political engagement, as well as his desire and strategy to protect the capital city of Spain: Madrid. Methodologically, the analysis is an approached to linguistics in social sciences, which presents some of the personal characteristics and style of the chronist Miguel Hernández. Thus, it becomes patent that the so-called New Journalism (narrative and literary), which flourished in the 70s, had already been deeply and efficiently practiced by Miguel Hernández 40 years before. That is the reason why Miguel Hernández deserves to be added to the well-known collective of chronicle writers that have already been rescued to this moment. His literary style and quality are installing him in a outstanding position as well as pioneer of the genre nowadays known as New Journalism that in his case, it is politically engaged

Pension structural reforms, re-reforms and their effects on social welfare: The case of Chile

This article fi rst summarizes the structural reforms of pensions (total or partial privatization) in Latin America and Central and Eastern Europe, identifying their advantages and disadvantages, and does the same with the international process of re-reforms of pensions with a greater role of the state. Second, chooses Chile as a case study, as a world pioneer in both types of reforms; describes their characteristics and effects on social welfare of the structural reform of 1981 and the re-reform of 2008. Such effects are evaluated based on ten basic principles of social security from the International Labour Offi ce (ILO): 1) social dialogue to approve the reforms, 2) universal coverage of the population, 3) equal treatment of insured persons, 4) social solidarity, 5) gender equity, 6) suffi ciency of benefi ts, 7) effi ciency and reasonable administrative cost, 8) social participation in the management of the system, 9) role of the state and supervision, and 10) fi nancial sustainability. Third, it summarizes the advantages and disadvantages-challenges of the re-reform and informs on the current debate for further reforms.

A Universal Flow Regime Map for Horizontal Two-Phase Flow in Pipes

A new universal flow map has been developed for two-phase co-current flow. The map has been successfully tested against wide variety of data. Flow regime transition predictors suggested by other authors have been shown to be useful. New transitional models are proposed for the stratified to annular regimes, blow through slug and intermittent regimes.

Perceived and reported access to the general practitioner: an international comparison of universal access and mixed private/public systems.

Timely and convenient access to primary healthcare is essential for the health of the population as delays can incur additional health and financial costs. Access to health care is under increasing scrutiny as part of the drive to contain escalating costs, while attempting to maintain equity in service provision. The objective was to compare primary care services in Republic of Ireland and Northern Ireland, and to report on perceived and reported access to GP services in universal access and mixed private/public systems. A questionnaire study was performed in Northern Ireland (NI) and the Republic of Ireland (ROI). Patients of 20 practices in the ROI and NI were contacted (n = 22,796). Main outcome measures were overall satisfaction and the access to GP services. Individual responses and scale scores were derived using the General Practice Assessment Questionnaire (G-PAQ). The response rate was 52% (n = 11,870). Overall satisfaction with GP practices was higher in ROI than in NI (84.2% and 80.9% respectively). Access scores were higher in ROI than in NI (69.2% and 57.0% respectively) Less than 1 in 10 patients in ROI waited two or more working days to see a doctor of choice (8.1%) compared to almost half (45.0%) in NI. In NI overall satisfaction decreased as practice size increased; 82.8%, 80.4%, and 75.8%. In both systems, in large practices, accessibility is reduced when compared to smaller practices. The faster access to GP services in ROI may be due to the deterrent effect of the consultation charge freeing up services although, as it is the poorest and sickest who are deterred by the charge this improved accessibility may come at a significant cost in terms of equity. The underlying concern for policy makers centres around provision of equitable services.

Universal power quality manager with a new control scheme

A new universal power quality manager is proposed. The proposal treats a number of power quality problems simultaneously. The universal manager comprises a combined series and shunt three-phase PWM controlled converters sharing a common DC link. A control scheme based on fuzzy logic is introduced and the general features of the design and operation processes are outlined. The performance of two configurations of the proposed power quality manager are compared in terms of a recently formulated unified power quality index. The validity and integrity of the proposed system is proved through computer simulated experiments