Step by step: correcting our mental image of the mušlālu

The mušlālu, which is usually understood to be a step- or ramped gate, has so far rarely been discussed in much detail, even though the texts mentioning it have been known for a long time. This is no doubt because the evidence on which to base both philological and archaeological investigations appears sparse and scattered. Up to now, scholars have tended to focus on specific mušlālu-structures. Consequently, there are as many discussions as there are mušlālu-structures. This article attempts to get a sense of the broader picture by bringing together the philological and archaeological data hitherto available with the aim of discussing the mušlālu as term and structure, clarifying the semantics and reassessing the architectural identifications. We hope to demonstrate that it is actually possible to take the evidence one step further and correct the mušlālu image that prevails.

The Construction of the Image of Peace in Ancient Greece : A few literary and Iconographic Evidences

El presente artículo busca identificar y analizar algunas de los principales tratamientos poéticos y artísticos del binomio paz / riqueza en una perspectiva diacrónica y comparativa, intentando aislar las más frecuentes imágenes, metáforas y epítetos relacionados con ese tema. El estudio de los pasajes elegidos deja claro cómo ambos, poetas y artistas plásticos, conocían y manipulaban con su arte un mismo patrimonio bastante antiguo

The Construction of the Image of Peace in Ancient Greece : A few literary and Iconographic Evidences

El presente artículo busca identificar y analizar algunas de los principales tratamientos poéticos y artísticos del binomio paz / riqueza en una perspectiva diacrónica y comparativa, intentando aislar las más frecuentes imágenes, metáforas y epítetos relacionados con ese tema. El estudio de los pasajes elegidos deja claro cómo ambos, poetas y artistas plásticos, conocían y manipulaban con su arte un mismo patrimonio bastante antiguo

The Construction of the Image of Peace in Ancient Greece : A few literary and Iconographic Evidences

El presente artículo busca identificar y analizar algunas de los principales tratamientos poéticos y artísticos del binomio paz / riqueza en una perspectiva diacrónica y comparativa, intentando aislar las más frecuentes imágenes, metáforas y epítetos relacionados con ese tema. El estudio de los pasajes elegidos deja claro cómo ambos, poetas y artistas plásticos, conocían y manipulaban con su arte un mismo patrimonio bastante antiguo

Online games for the teaching of mathematics

In this article we present a didactic experience developed by the GIE (Group of Educational Innovation) “Pensamiento Matemático” of the Polytechnics University of Madrid (UPM), in order to bring secondary students and university students closer to Mathematics. It deals with the development of a virtual board game called Mate-trivial. The mechanics of the game is to win points by going around the board which consists of four types of squares identified by colours: “Statistics and Probability”, “Calculus and Analysis”, “Algebra and Geometry” and “Arithmetic and Number Theory ”. When landing on a square, a question of its category is set out: a correct answer wins 200 points, if wrong it loses 100 points, and not answering causes no effect on the points, but all the same, two minutes out of the 20 minutes that each game lasts are lost. For the game to be over it is necessary, before those 20 minutes run out, to reach the central square and succeed in the final task: four chained questions, one of each type, which must be all answered correctly. It is possible to choose between two levels to play: Level 1, for pre-university students and Level 2 for university students. A prototype of the game is available at the website “Aula de Pensamiento Matemático” developed by the GIE: http://innovacioneducativa.upm.es/pensamientomatematico/. This activity lies within a set of didactic actions which the GIE is developing in the framework of the project “Collaborative Strategies between University and Secondary School Education for the teaching and learning of Mathematics: An Application to solve problems while playing”, a transversal project financed by the UPM.

The curricular value of mathematics in non-mathematics degree

Higher education should provide the acquisition of skills and abilities that allow the student to play a full and active role in society. The educational experience should offer a series of conceptual, procedural and attitudinal contents that encourage “learning to know, learning to do, learning to be and learning to live together”. It is important to consider the curricular value of mathematics in the education of university undergraduates who do not intend to study mathematics but for whom the discipline will serve as an instrumental. This work discusses factors that form part of the debate on the curricular value of mathematics in non-mathematics degrees.

Do first-year university students understand the language of mathematics?

The aim of the project is to determine if the understanding of the language of Mathematics of students starting university is propitious to the development of an appropriate cognitive structure. The objective of this current work was to analyse the ability of first-year university students to translate the registers of verbal or written expressions and their representations to the registers of algebraic language. Results indicate that students do not understand the basic elements of the language of Mathematics and this causes them to make numerous errors of construction and interpretation. The students were not able to associate concepts with definitions and were unable to offer examples.

Perspectives of Teachers Regarding the Integration of Mathematics and Science at the Secondary School Level

The integration of mathematics and science in secondary schools in the 21st century continues to be an important topic of practice and research. The purpose of my research study, which builds on studies by Frykholm and Glasson (2005) and Berlin and White (2010), is to explore the potential constraints and benefits of integrating mathematics and science in Ontario secondary schools based on the perspectives of in-service and pre-service teachers with various math and/or science backgrounds. A qualitative and quantitative research design with an exploratory approach was used. The qualitative data was collected from a sample of 12 in-service teachers with various math and/or science backgrounds recruited from two school boards in Eastern Ontario. The quantitative and some qualitative data was collected from a sample of 81 pre-service teachers from the Queen’s University Bachelor of Education (B.Ed) program. Semi-structured interviews were conducted with the in-service teachers while a survey and a focus group was conducted with the pre-service teachers. Once the data was collected, the qualitative data were abductively analyzed. For the quantitative data, descriptive and inferential statistics (one-way ANOVAs and Pearson Chi Square analyses) were calculated to examine perspectives of teachers regardless of teaching background and to compare groups of teachers based on teaching background. The findings of this study suggest that in-service and pre-service teachers have a positive attitude towards the integration of math and science and view it as valuable to student learning and success. The pre-service teachers viewed the integration as easy and did not express concerns to this integration. On the other hand, the in-service teachers highlighted concerns and challenges such as resources, scheduling, and time constraints. My results illustrate when teachers perceive it is valuable to integrate math and science and which aspects of the classroom benefit best from the integration. Furthermore, the results highlight barriers and possible solutions to better the integration of math and science. In addition to the benefits and constraints of integration, my results illustrate why some teachers may opt out of integrating math and science and the different strategies teachers have incorporated to integrate math and science in their classroom.

Compilation of results of the STRATAGEM project as ISO-image of the final CD-ROM

The study of the Neogene (Miocene to Holocene) stratigraphic record on the glaciated Atlantic margin of NW Europe has, to date, largely been undertaken on an ad-hoc basis. Whereas a systematic approach to understanding the stratigraphic development of Palaeogene and older strata has been undertaken in areas such as the North Sea, West of Shetland and Norway, the problem of establishing a Neogene framework has been only partly addressed by academia and the oil industry. In most cases where a Neogene stratigraphy has been constructed, this has been largely in response to problem solving and risk assessment in a restricted area. Nevertheless, in the past few years it has become increasingly apparent that there is a common history in the Neogene development of the passive Atlantic margin of NW Europe, between mid-Norway and SW Ireland. The inspection and interpretation of an extensive geophysical and geological database has identified several regionally significant and correlatable unconformities along this continental margin. Thus, a regional approach to the stratigraphical development of the Neogene succession on the glaciated European Atlantic margin is undertaken in this volume.

The basic concepts of mathematics; a companion to current textbooks on algebra and analytic geometry.

pt.1. Algebra.

A concise history of mathematics.

Includes bibliographies.

A concise history of mathematics.

"In this reprint we have corrected several misprints and errors which had slipped into the first printing."