A generalised formulation for computing the microbuckling load in periodic layered materials

Acknowledgments The financial support of the part of this research by The Royal Society, The Royal Academy of Engineering and The Carnegie Trust for the Universities of Scotland is gratefully acknowledged.

Tifones y gigantes en el mundo macedonio: el rey como símbolo del orden cósmico

Este artículo analiza la existencia de un posible ritual en la antigua Macedonia que fuese similar al Akîtu babilonio. Pensamos que la victoria de Zeus sobre sus enemigos en la gigantomaquia y tifonomaquia fue celebrada por los reyes macedonios para fortalecer su posición en el poder. Aunque no hay evidencias directas de ello, tenemos una serie de diferentes fuentes en las cuales los macedonios están relacionados directa o indirectamente con Tifón y los gigantes. Además, la estratégica importancia del monte Olimpo para los macedonios nos hace pensar que la victoria de Zeus sobre las fuerzas del mal fue conmemorada de alguna forma por ellos.

Vardagsanknuten matematikundervisning : En systematisk litteraturstudie om en vardagsanknuten matematikundervisnings betydelse för mellanstadieelevers matematikförståelse

Syftet med denna studie har varit att klargöra och undersöka huruvida mellanstadieelevers matematikförståelse ökar eller inte om de ser nyttan av att lära sig skolans matematik. Detta har gjorts med hjälp av en systematisk litteraturstudie där aktuell vetenskaplig forskning inom området tagits fram genom sökning, granskning och analys. Resultaten som framkommit visar att det finns samband mellan en vardagsanknuten matematik och elevers förståelse, men att detta samband inte alltid är effektivt. Det är dock inte enbart en vardagsanknuten matematik som kan kopplas ihop med och har betydelse för elevers förståelse och utveckling inom matematik, utan också vilken kognitiv nivå uppgifterna har. De resultat studierna påvisar behandlar vikten av grundläggande kunskaper inom matematik som en förutsättning för elevers matematiska utveckling och förståelse. Forskarna menar att en ökad förståelse gynnas om de problem som ska lösas har ett tydligt beskrivet syfte.

Diario, pour piano seul, de Heber Schuenemann - du déchiffrage de l'oeuvre à son interprétation: démarche et réflexions d'une pianiste

Cette thèse porte sur la recherche-création ayant menée à l’apprentissage et l’exécution publique de Diário, œuvre pour piano du compositeur brésilien Heber Schuenemann (né en 1971). Dans ce cycle, qui comprend 23 courtes pièces, le compositeur explore la notion de « hasard », propre à la musique aléatoire. Il utilise également des techniques de composition s’apparentant au sérialisme et au minimalisme. Après avoir présenté les principales caractéristiques des courants musicaux propres à l’œuvre, la chercheuse-pianiste procède à une analyse de l’œuvre, décrivant la structure et les techniques de composition de chaque pièce. Par la suite, elle décrit sa propre démarche d’interprète – du déchiffrage de l’œuvre à sa prestation publique et à son enregistrement en studio – et elle commente son expérience à la lumière de la littérature pertinente. Sont abordées, notamment, les difficultés inhérentes au déchiffrage d’une œuvre atonale et les diverses étapes menant à l’identification de ses éléments structuraux; les difficultés relatives à la technique pianistique; l’importance du regroupement d’unités et de l’acquisition d’automatismes corporels; la définition de l’image artistique. Des pistes pédagogiques favorisant l’enseignement et l’apprentissage de l’œuvre sont également présentées.

Multi-stage scheduling problems with precedence constraints

Abstract not available

Time domain decomposition for European options in financial modelling

Finance is one of the fastest growing areas in modern applied mathematics with real world applications. The interest of this branch of applied mathematics is best described by an example involving shares. Shareholders of a company receive dividends which come from the profit made by the company. The proceeds of the company, once it is taken over or wound up, will also be distributed to shareholders. Therefore shares have a value that reflects the views of investors about the likely dividend payments and capital growth of the company. Obviously such value will be quantified by the share price on stock exchanges. Therefore financial modelling serves to understand the correlations between asset and movements of buy/sell in order to reduce risk. Such activities depend on financial analysis tools being available to the trader with which he can make rapid and systematic evaluation of buy/sell contracts. There are other financial activities and it is not an intention of this paper to discuss all of these activities. The main concern of this paper is to propose a parallel algorithm for the numerical solution of an European option. This paper is organised as follows. First, a brief introduction is given of a simple mathematical model for European options and possible numerical schemes of solving such mathematical model. Second, Laplace transform is applied to the mathematical model which leads to a set of parametric equations where solutions of different parametric equations may be found concurrently. Numerical inverse Laplace transform is done by means of an inversion algorithm developed by Stehfast. The scalability of the algorithm in a distributed environment is demonstrated. Third, a performance analysis of the present algorithm is compared with a spatial domain decomposition developed particularly for time-dependent heat equation. Finally, a number of issues are discussed and future work suggested.

Drawing in Duos: The Journeys and Intersections Collaboration Project Between Istanbul and Worcester

This paper focuses on a collaborative drawing project carried out between two undergraduate drawing courses, one in İstanbul and the other in Worcester, during the Fall 2015 semester. Duos -teams of two working remotely- took turns to work on the same drawing in correspondence for three months by means of communication and sharing the changing images on-line with one another. The project introduced a collaborative method of learning based on drawing, initiated cultural exchange and cooperation. The role of drawing in the project was critical due to the direct but gradual nature of transmitting meaning onto paper. Outcomes of this project consisted of a flexible and playful creation process for students making use of the element of chance. They sought alternate ways to finalize a drawing and experienced the benefits of artistic co-production. The project has the capacity to inspire artists, instructors and others interested in creative partnership in different disciplines and can be of value as an educational model.

A finite volume approach to dynamic fluid structure interaction

Abstract not available

Interview with Charles W. Peck

Interview in five sessions, October-November 2003, with Charles W. Peck, professor of physics (now emeritus) in the Division of Physics, Mathematics, and Astronomy. He recalls his early life in South Texas and his interest in radio; first year of college at Texas Arts & Industries; three more years at New Mexico College of Agriculture & Mechanical Arts. Recalls graduate studies at Caltech with Murray Gell-Mann, H. P. Robertson, Robert Walker, Richard A. Dean, W. R. Smythe. Works on increasing intensity and stability of the Caltech synchrotron, with Walker, Matt Sands, and Alvin Tollestrup; 1964 thesis on K-lambda photoproduction. Joins the faculty as an assistant professor in 1965. Discusses his various teaching assignments, including an embarrassing moment when Richard Feynman attended one of his freshman physics lectures. Discusses his research at the Stanford Linear Accelerator Center and Lawrence Radiation Laboratory’s Bevatron. Collaboration with UC Berkeley and SLAC on “crystal ball” detector for SLAC’s SPEAR storage ring. Taking the crystal ball to DESY, in Hamburg. Works with Barry Barish at Gran Sasso laboratory in Italy, on MACRO; search for magnetic monopoles. He also discusses his administration work at Caltech, as executive officer for physics (1983-1986) and as PMA division chair from 1993 to 1998, when he immediately had to deal with the troubles plaguing LIGO [Laser Interferometer Gravitational-wave Observatory]. Detailed discussion of the LIGO contretemps and how it was settled, and of turning Big Bear Solar Observatory over to the New Jersey Institute of Technology. Advent of David Baltimore as Caltech president; attempt to recruit Ed Witten.

Situações-problema no ensino de matemática financeira

O presente trabalho descreve uma proposta de atividade educacional direcionada para professores de Matemática, envolvendo situações-problema no ensino de Matemática Financeira para ser aplicado com alunos do Ensino Médio. Tais atividades tem como objetivo fornecer um contexto real, no qual o estudante esteja inserido. O trabalho se divide em quatro partes: a introdução de uma situaçãoproblema envolvendo juros simples, o conhecimento matemático, a resolução da situação-problema e a proposta de atividade educacional. Diferenciando-se do que usualmente é encontrado nos livros didáticos, a proposta aqui apresentada propõe estudar conteúdos matemáticos de forma articulada, envolvendo o conceito de porcentagem vinculado com funções lineares e juros simples com função afim e progressão aritmética. Dessa forma, é apresentada uma sequência de aulas envolvendo situações-problema através de atividades, adequadas para os alunos.

A importância das visitas de estudo na aprendizagem: conceções de alunos e professores

Relatório de Estágio apresentado à Escola Superior de Educação de Lisboa para obtenção de grau de mestre em Ensino do 1.º e 2.º Ciclos do Ensino Básico

Educação financeira no ensino médio: uma abordagem por meio da análise de produtos financeiros com ênfase em consórcios

This paper presents a differential approach of financial mathematics developed in high school, focusing on financial education. We seek through the insertion of texts, analysis of some financial products and by the interpretation of problems to contribute to the financial training of students. Aiming to make financial mathematics more attractive and accessible to the day-today, there are available for studies some practical tools like the citizen calculator which are available for computers and mobile phones. As well as spreadsheets and software Geogebra, that allow you to compare and analyze the financial costs of consortia, financing and financial applications,in addition to being allied in the preparation and control of personal and family budget. By applying the teaching sequence proposed in a nocturnal class of high school, we realized some difficulties that have limited the financial learning of math concepts.Yet identified progress regarding the financial education of students. These observations were made through qualitative and quantitative analysis from notes in the field diary and also answers given by students in specific form.

Programa Etnomatemática: ponderações da prática pedagógica

The aim of this present work is investigating the interest and motivation for learning, awakened in pupils when the educator practice is guided by the ethnomathematics perspective. The main question is: Can an ethnomathematic approach awaken enthusiasm in pupils, causing it to become more critic and active in building their knowledge? The methodology that guides the investigation is qualitative, based on technical arising of the ethnographic case study. Theoretical contributions that support the investigation are from the scientific methodology and from ethnomathematics. The research material is composed by: researcher’s field diary, audio recording of participant observation, interviews reports of community residents and students parents, highlighting the material produced by students. This study was developed on an 8º year of high school of rural community. During the work were prioritized the ethnomathematics concepts of the Ethnomathematic Program, which establish a link exchange, where the lecturers inserts themselves on the reality of pupils in a way that promote an appreciation of their identity and a commitment to their learning. The educator investigates and values the ideas of pupils throughout dialogues. There are challenges for the application of education with ethno mathematic perspective, pointed out by authors, listed and supplemented in the research. In this context, it is believed that the socio-cultural knowledge must be respect, and as they are understood their specialties, capabilities and characteristics, this can guide teaching practice, making significant process for pupils, providing appropriation of scientific knowledge. Analysis of research practice indicated that students, research subjects, when they decided contextual issues, with their way of life, felt appreciated. The conclusion is that, with continuous action of contextualized of school mathematics, from the recognition of the environment and of cultural identity, the educator has the opportunity of review their own participant condition, and therefore promote an enthusiasm for learning. Because a motivated pupil becomes active, since that the all project is guided in a significant theme.

A operacionalização do programa de matemática em vigor no 1.º Ciclo do Ensino Básico pelos professores do concelho de Machico

Trabalho de projeto apresentado à Escola Superior de Educação de Paula Frassinetti para obtenção do grau de Mestre em Ciências da Educação Especialização em Supervisão Pedagógica

Teolog fundamentalny wobec ataku Przypadku, Nieokreśloności, Prawdopodobieństwa, Dwuznaczności, Wieloznaczności?

Postmodernizm prezentuje postawę akceptacji Nieładu, Chaosu i Przypadku. Czy istnieje moż- liwość dialogu z taką postawą? Postmodernizm powstaje jako bunt na pograniczu filozofii i estetyki. Kontestuje zastany Ład. Sprzeciwia się kartezjańskiemu Cogito ergo sum oraz podziałowi na res cogitans i res extensa. Jest to ruch kulturowy, który nie ma jeszcze swojego ostatecznego wyrazu. Jest on ciągle postrzegany jako proces przechodzenia od starego do nowego Ładu. Taki brak dookreślenia budzi niepokój i sprzeciw. Teologia fundamentalna jest badaniem granic i dialogu. Stoi na progu, więc ma obowiązek rozeznać ludzki niepokój w akceptacji otaczającego świata. Musimy zapytać, dlaczego człowiek akceptuje ten Nieład?