Proyecto "mete" (mathematics education traditions of europe): el foco matemático

Este artículo presenta los resultados de un estudio sobre las tradiciones de enseñanza en cuatro países europeos: Bélgica (Flandes), Inglaterra, Hungría y España. Se trata de un estudio a pequeña escala en el que se emplean métodos cuantitativos y cualitativos, y que, en lugar de pretender obtener generalizaciones, está orientado a arrojar alguna luz que posibilite la mejora de la enseñanza y el aprendizaje de las matemáticas. Establece comparaciones con los resultados de los test TIMSS y PISA y extrae alguna conclusión para la formación inicial de maestros y profesores de matemáticas. Extraemos de éste los resultados relativos a los datos cuantitativos y nos centramos en el foco matemático.

The Experience of Security in Mathematics

In this paper, we report some findings from an investigation of a topic related to affect and mathematics which is not well-represented in the literature. For some mathematicians, mathematics itself is a source of security in an uncertain world, and we investigated this feeling and experience in the case of 19 adult mathematicians working in universities and schools in Greece. The focus reported here is on ways that a relationship with mathematics offers a sense of permanence and stability on the one hand, and an assurance of novelty and progress on the other.

How mathematics is defined and measured in PISA 2003

Description of some variables used in PISA 2003 project to asses competences.

An investigation of the mathematical elements of the Dai culture south-west Yunnan province, China

Dai ethnic mathematical culture is an important part of Dai ethnic culture. Mathematical elements show in their daily life. Through a research project of the Yunnan Dehong Dai people in southwest China, We collected the first-hand information, tried to do a small investigative study, and collected mathematics teaching resources that is useful to primary and secondary schools students on mathematics learning  in this minority areas. Keyword: Dai ethnic; Mathematical culture; Primary and secondary schools; Teaching resources.

Characterizing mentors’ performance in mathematics teacher education

This study describes the performance of the mentors in a blended graduate-level training program of teachers in the field of secondary school mathematics. We codified and analyzed the mentors’ comments on the projects presented by the groups of in-service teachers for whom they (the mentors) were responsible. To do this, we developed a structure of categories and codes based on a combination of a literature review, a model of teacher learning, and a cyclical review of the data. We performed two types of analysis: frequency and cluster. The first analysis permitted us to characterize the common actions shared by most of the mentors. From the second, we established three profiles of the mentors’ actions.

Hermeneutics, accreting receptions, hypermedia: A tool for reference versus a tool for instruction

We provide a select overview of tools supporting traditional Jewish learning. Then we go on to discuss our own HyperJoseph/HyperIsaac project in instructional hypermedia. Its application is to teaching, teacher training, and self-instruction in given Bible passages. The treatment of two narratives has been developed thus far. The tool enables an analysis of the text in several respects: linguistic, narratological, etc. Moreover, the Scriptures' focality throughout the cultural history makes this domain of application particularly challenging, in that there is a requirement for the tool to encompass the accretion of receptions in the cultural repertoire, i.e., several layers of textual traditions—either hermeneutic (i.e., interpretive), or appropriations—related to the given core passage, thus including "secondary" texts (i.e., such that are responding or derivative) from as disparate realms as Roman-age and later homiletics, Medieval and later commentaries or supercommentaries, literary appropriations, references to the arts and modern scholarship, etc. in particular, the Midrash (homiletic expansions) is adept at narrative gap filling, so the narratives mushroom at the interstices where the primary text is silent. The genealogy of the project is rooted in Weiss' index of novelist Agnon's writings, which was eventually upgraded into a hypertextual tool, including Agnon's full-text and ancillary materials. Those early tools being intended primarily for reference and research-support in literary studies, the Agnon hypertext system was initially emulated in the conception of HyperJoseph, which is applied to the Joseph story from Genesis. Then, the transition from a tool for reference to an instructional tool required a thorough reconception in an educational perspective, which led to HyperIsaac, on the sacrifice of Isaac, and to a redesign and upgrade of HyperJoseph as patterned after HyperIsaac.

Simulation of 2-D metal cutting by means of a distributed algorithm

Temperature distributions involved in some metal-cutting or surface-milling processes may be obtained by solving a non-linear inverse problem. A two-level concept on parallelism is introduced to compute such temperature distribution. The primary level is based on a problem-partitioning concept driven by the nature and properties of the non-linear inverse problem. Such partitioning results to a coarse-grained parallel algorithm. A simplified 2-D metal-cutting process is used as an example to illustrate the concept. A secondary level exploitation of further parallel properties based on the concept of domain-data parallelism is explained and implemented using MPI. Some experiments were performed on a network of loosely coupled machines consist of SUN Sparc Classic workstations and a network of tightly coupled processors, namely the Origin 2000.

[Conference report] Magic and mathematics: The life and work of John Dee. National Maritime Museum, Greenwich, 13-14 June 2003

Tony Mann provides a report of a two-day meeting "Magic and mathematics: The life and work of John Dee" held from 13-14 June 2003 at the National Maritime Museum, Greenwich.

[Book review] Mathematics and Culture II

Review of Mathematics and Culture II. Visual Perfection: Mathematics and Creativity, Michele Emmer (Ed.), Springer, 2005 ISBN: 978-3-540-21368-0

Computational fluid dynamics: advancements in technology for modeling iron and steelmaking processes

Computational fluid dynamics (CFD) software technology has formed the basis of many investigations into the behavior and optimization of primary iron and steelmaking processes for the last 25+ years. The objective of this contribution is to review the progress in CFD technologies over the last decade or so and how this can be brought to bear in advancing the process analysis capability of primary ferrous operations. In particular, progress on key challenges such as compute performance, fluid-structure transformation and interaction, and increasingly complex geometries are highlighted.

BSHM meetings: BMS History of Mathematics Splinter Group

Introduction to abstracts from papers given at BMS History of Mathematics Splinter Group, held 17 April 2007, in Swansea.

The effects of thermo-electrically induced convection in alloy solidification

The effects of a constant uniform magnetic field on thermoelectric currents during dendritic solidification were investigated using a 2-dimensional enthalpy based numerical model. Using an approximation of the dendrite growing in free space it was found that the resulting Lorentz force generates a circulating flow influencing the solidification pattern. As the magnetic field strength increases it was found that secondary growth on the clockwise side of the primary arm of the dendrite was encouraged, while the anticlockwise side is suppressed due to a reduction in local free energy. The preferred direction of growth rotated in the clockwise sense under an anti-clockwise flow for both the binary alloy and pure material. The tip velociy is significantly increased compared to growth in stagnant flow. This is due to a small recirculation that follows the tip of the dendrite; bringing in colder liquid and lower concentrations of solute. The recirculation being not normally incident on the tip is most likely the cause for the rotation. Grain growth consisting of multiple seeds with the same anisotropy growing in the same plane, gives a competition to release latent heat resulting in stunted growth. The initial growth for each dendrite is very similar to the single seed cases indicating that dendrites must become before the thermoelectric interactions are significant.

Effects of magnetic fields on crystal growth

The effects of a constant uniform magnetic field on dendritic solidification were investigated using a 2-dimensional enthalpy based numerical model. The interaction between thermoelectic currents and the magnetic field generates a Lorentz force that creates a flow. This flow causes a change in the morphology of the dendrite; secondary growth is promoted on one side of the dendrite arm and the tip velocity of the primary arm is increased.

Optimizing the reliability of power electronics module isolation substrates

Optimal design of a power electronics module isolation substrate is assessed using a combination of finite element structural mechanics analysis and response surface optimisation technique. Primary failure modes in power electronics modules include the loss of structural integrity in the ceramic substrate materials due to stresses induced through thermal cycling. Analysis of the influence of ceramic substrate design parameters is undertaken using a design of experiments approach. Finite element analysis is used to determine the stress distribution for each design, and the results are used to construct a quadratic response surface function. A particle swarm optimisation algorithm is then used to determine the optimal substrate design. Analysis of response surface function gradients is used to perform sensitivity analysis and develop isolation substrate design rules. The influence of design uncertainties introduced through manufacturing tolerances is assessed using a Monte-Carlo algorithm, resulting in a stress distribution histogram. The probability of failure caused by the violation of design constraints has been analyzed. Six geometric design parameters are considered in this work and the most important design parameters have been identified. Overall analysis results can be used to enhance the design and reliability of the component.