The calculator as an instrument of validation of mathematical knowledge: a case study (extended version)

En este trabajo se describe detalladamente una experiencia llevada a cabo con profesores de matemáticas en formación, sobre el papel que pueden desarrollar las nuevas tecnologías para llevar a cabo procesos de demostración y prueba en el aula de secundaria.

La comprensión del concepto de continuidad en el marco de la teoría de Pirie y Kieren

La mayoría de personas involucradas directa o indirectamente con la Educación Matemática estamos de acuerdo en que la comprensión de conceptos es el aspecto más relevante en la enseñanza y el aprendizaje de las Matemáticas. Nuestro objetivo es diseñar y aplicar una entrevista semiestructurada de carácter socrático, para describir cómo comprenden el concepto de Continuidad cuatro estudiantes de cursos de cálculo diferencial en Instituciones oficiales de la ciudad de Medellín. Para alcanzar este objetivo utilizamos la entrevista semiestructurada de carácter socrático, como instrumento principal de recolección de información, así como observaciones y materiales escritos; la entrevista a su vez se convirtió en una estrategia metodológica para mejorar la comprensión de los estudiantes, en el marco de la Teoría de Pirie y Kieren, nuestro Marco Teórico.

De la aritmética al cálculo: la raíz cuadrada y sus disfunciones en el discurso matemático escolar

La raíz cuadrada desempeña un papel fundamental en todos los niveles escolares, desde los básicos hasta los universitarios. La presente investigación se centra en estudiar este concepto desde el punto de vista de la aritmética, posteriormente del álgebra y por ultimo del cálculo, mediante el análisis de libros de texto y la aplicación de un cuestionario desde el nivel básico hasta el superior. Finalmente mostraremos concepciones específicas relativas a la raíz cuadrada que permanecen en los estudiantes.

A new computational approach to microwave heating of two-phase porous materials

Computational results for the microwave heating of a porous material are presented in this paper. Combined finite difference time domain and finite volume methods were used to solve equations that describe the electromagnetic field and heat and mass transfer in porous media. The coupling between the two schemes is through a change in dielectric properties which were assumed to be dependent on both temperature and moisture content. The model was able to reflect the evolution of both temperature and moisture fields as well as energy penetration as the moisture in the porous medium evaporates. Moisture movement results from internal pressure gradients produced by the internal heating and phase change.

Calorific Ash Carbon And Nitrogen-Content In Relation To Length And Dry-Weight Of Parathemisto-Gaudichaudi (Amphipoda Hyperiidea) In The North-East Atlantic Ocean

The calorific, ash, carbon and nitrogen content, length and dry weight were determined for the hyperiid Parathemisto gaudichaudi (Guerin). Regression equations for all these variables were determined so that they can be estimated by calculation from measurements of length of the hyperiid. Mean values for total nitrogen and carbon were 7.79±0.85% and 36.80±4.18% of the dry weight, respectively. The carbon to calorific equivalent for P. gaudichaudi was 10.37 kcal g-1 carbon (9.13 kcal g-1 when corrected for nitrogen). The calorific value for ash-free adult P. gaudichaudi was 5.138 kcal g-1±1.309 (4.510 kcal g-1 when corrected for nitrogen). This large variation in the calorific content (coefficient of variation of 25.84%) can be accounted for largely by variation in the ash content (coefficient of variation of 21.84%). The calorific value determined for P. gaudichaudi is similar to that measured for other carnivorous crustaceans and adds support to the hypothesis that animals with high calorific content have a low fecundity and an energy-rich store which can be used as a buffer during unfavourable periods in their life.

Basin scale distribution of zooplankton in the Ligurian Sea (north-western Mediterranean) in late autumn

Mesozooplankton biomass and abundance were evaluated in epipelagic waters at 59 stations covering the Italian sector of the Ligurian Sea (north-western Mediterranean) in December 1990. This region is characterised by a cyclonic circulation which encloses a central divergence zone and is associated with a main thermohaline front offshore the western Ligurian coast. At the end of autumn, mesozooplankton biomass (range: 0.80–4.24 mg DW m−3) and the abundance (range: 83.8–932 ind. m−3) were lower in the divergence zone. On the contrary, in the Ligurian frontal zone at the periphery of the divergence and on the eastern continental shelf the greatest values of biomass and abundance were recorded. Copepods and appendicularians dominated the mesozooplankton community, the main taxa being the copepods Clausocalanus spp. (46% of total zooplankton) and Oithona spp. (15%) and the appendicularian Fritillaria spp. (12%). Three hydrological sub-regions, i.e. the divergence, the eastern continental shelf and the periphery of the divergence, were characterised by different zooplankton communities and characteristic species. Environmental differences between the three zones were mainly related to changes in bottom topography, sea surface temperatures and quantity of particulate organic matter. Vertical mesozooplankton abundance and taxa distribution from the surface to 1,900 m depth were also examined in one station. The results showed that the bulk of the community was concentrated in the upper 200 m, small copepods being dominant particularly in the upper 50 m. The copepod community was more diversified in sub-superficial waters, with a maximum observed in the 200–400 m layer. The distributions of main zooplankton taxa described in epipelagic waters in the eastern Ligurian Sea in autumn were compared with their distribution at surface in the north-western Mediterranean obtained by sampling performed with the Continuous Plankton Recorder in 1997–1999. The analysis of the zooplankton community in CPR samples confirms the dominance of small copepods (Paracalanus spp., Clausocalanus spp., Oithona spp.) and appendicularians in the north-western Mediterranean in late autumn-winter and shows that their distribution is mainly related to the main mesoscale hydrographic features characterising this basin.

Sign language in Spanish television. Study on reception

The present article analyses the preferences of the deaf who use sign language and are users of the TV interpretation service to sign language, as well as the characteristics with which TV channels provide that service in television in Spain. The objective is to establish whether the way in which the aforementioned accessibility service is provided matches the preferences of users or differ from them. The analysis presents the opinion on this service of the deaf that use the Spanish sign language as their first language for communication. A study has also been conducted on the programmes broadcast with sign language during week 10-16/03/2014. The main data collected reveal that the deaf are dissatisfied with broadcasting times. They ask for news programmes with sign language, they would rather have the interpretation carried out by deaf people who use sign language and they prefer that the interpreter is the main image on screen. Concerning the analysis of the programmes broadcast, the study shows that the majority of programmes with sign language are broadcast at night, they are entertainment programmes, the interpretation is carried out by hearing people who use sign language and that their image is displayed in a corner of the screen.

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

The role of plug design in determining wall thickness distribution in thermoforming

An experimental investigation has been carried out into the effects of changes in plug design on the wall thickness distribution of thermoformed products. Plugs were machined with a series of geometrical variations and their effects on the process were measured. The overall results show that the plug has a crucial role in controlling the wall thickness distribution in thermoforming. Larger plugs tend to distribute more material to the base of the product, but the introduction of a small sidewall taper, base radius, or a reduction in plug diameter tend to lead to more balanced distributions. However, larger changes in any of the variables tend to destroy these benefits. It has also been demonstrated that the frictional and thermal properties of the plug are important in determining the deformation response of the sheet material. There is a clear evidence of slip in the sheet during plug contact and, although the cooling effect of the plug appears to be minimal, cooling in the highly deformed regions away from the plug appears to be a significant factor.

Analysis of the reading and comprehension control in scientific texts in high school students

Students' learning process can be negatively affected when their reading and comprehension control is not appropriated. This research focuses on the analysis of how a group of students from high school evaluate their reading comprehension in manipulated scientific texts. An analysis tool was designed to determine the students' degree of comprehension control when reading a scientific short text with an added contradiction. The results have revealed that the students from 1st and 3rd ESO do not properly self-evaluated their reading comprehension. A different behavior has been observed in 1st Bachillerato, where appropriate evaluation and regulation seem to be more frequent. Moreover, no significant differences have been found regarding the type of text, year or gender. Finally, as identified by previous research, the correlations between the students' comprehension control and their school marks have shown to have a weak relationship and inversely proportional to the students' age.

The structure of [Co(H-tptz)Cl-3] center dot H2O (tptz=2,4,6-tri(2-pyridyl)-1,3,5-triazine) prepared by crystallization from the ionic liquid, N-butyl-N-methyl-pyrrolidinium bis(trifluoromethanesulfonyl)imide

The structure of tris-chloro[2,6-bis(2'-pyridyl)-4-(2'-pyridinium)-1,3,5-triazine]cobalt(II) monohydrate, [Co(C18H13N6)Cl-3]center dot H2O (C2/c (No. 15), a = 7.783(11), b = 22.42(3), c = 11.001(15) angstrom, beta = 90.05(2)degrees), crystallized from the open air reaction of CoCl2 and 2,4,6-tri(2-pyridyl)-1,3,5-triazine in the ionic liquid, N-butyl-N-methyl-pyrrolidinium bis(trifluoromethanesulfonyl)imide is reported. The structure consists of six coordinate cobalt in an octahedral geometry bonded to the tridentate tptz ligand and three chlorines. The non-coordinating pyridyl group in the tptz ligand is protonated (with the protonated nitrogen crystallographically disordered over two possible sites), providing overall charge neutrality for the complex.