Mathematical modelling in mathematics education and instruction

This paper aims at giving a concise survey of the present state-of-the-art of mathematical modelling in mathematics education and instruction. It will consist of four parts. In part 1, some basic concepts relevant to the topic will be clarified and, in particular, mathematical modelling will be defined in a broad, comprehensive sense. Part 2 will review arguments for the inclusion of modelling in mathematics teaching at schools and universities, and identify certain schools of thought within mathematics education. Part 3 will describe the role of modelling in present mathematics curricula and in everyday teaching practice. Some obstacles for mathematical modelling in the classroom will be analysed, as well as the opportunities and risks of computer usage. In part 4, selected materials and resources for teaching mathematical modelling, developed in the last few years in America, Australia and Europe, will be presented. The examples will demonstrate many promising directions of development.

Courses in the language and culture of origin and their impact on youth development in cultural transition: A study among immigrant and dual heritage youth in Switzerland

Elena Makarova traces how the concept of intercultural education in German-speaking European countries promotes the inclusion of courses in the Language and Culture of Origin (LCO) for immigrant youth in the school curriculum of host countries. Such courses are assumed to have positive effects on the development of immigrant youth in the host country. Particularly, it has been suggested that participation in LCO courses increases the self-esteem of immigrant youth, facilitates the development of their bicultural identity and improves their integration in the host society. However, there is a lack of empirical evidence on the nature of the effects of LCO course attendance on the acculturation of immigrant youth and their cultural identity. Accordingly, the aim of the study detailed in the chapter is to examine the impact of immigrant youth’s attitudes towards LCO courses and of their attendance of such courses on their acculturation and cultural identity.

Technology Language and Frankenstein Strategy

Teaching architecture is experiencing a moment of opportunity. New methods, like constructivist pedagogy, based on complexity and integration are yet to be explored. In this context of opportunity teaching architecture has a duty to integrate complexity in their curriculum. Teaching methods should also assume inherent indeterminacy and contingency of all complex process. If we accept this condition as part of any teaching method, the notion of truth or falsehood it becomes irrelevant. In this regard it could focus on teaching to contingency of language. Traditionally, technology is defined as the language of science. If we assume contingency as one of the characteristics of language, we could say that technology is also contingent. Therefore we could focus technology teaching to redefine its own vocabulary. So, redefining technological vocabulary could be an area of opportunity for education in architecture. The student could redefine their own tools, technology, to later innovate with them. First redefine the vocabulary, the technology, and then construct the new language, the technique. In the case of Building Technology subjects, it should also incorporate a more holistic approach for enhancing interdisciplinary transfer. Technical transfer, either from nature or other technologies to the field of architecture, is considered as a field of great educational possibilities. Evenmore, student get much broader technical approach that transgresses the boundaries of architectural discipline.

The Weight of Language and Action: Epistemic Stance, Methodological Action,and Theoretical Perspective in Knowledge Organization

Knowledge organization (KO) research is a field of scholarship concerned with the design, study and critique of the processes of organizing and representing documents that societies see as worthy of preserving (Tennis, 2008). In this context we are concerned with the relationship between language and action.On the one hand, we are concerned with what language can and does do for our knowledge organization systems (KOS). For example, how do the words NEGRO or INDIAN work in historical and contemporary indexing languages? In relation to this, we are also concerned with how we know about knowledge organization (KO) and its languages. On the other hand, we are concerned with how to act given this knowledge. That is, how do we carry out research and how do we design, implement, and evaluate KO systems?It is important to consider these questions in the context of our work because we are delegated by society to disseminate cultural memory. We are endowed with a perspective, prepared by an education, and granted positions whereby society asks us to ensure that documentary material is accessible to future generations. There is a social value in our work, and as such there is a social imperative to our work. We must act with good conscience, and use language judiciously, for the memory of the world is a heavy burden.In this paper, I explore these two weights of language and action that bear down on KO researchers. I first summarize what extant literature says about the knowledge claims we make with regard to KO practices and systems. To make it clear what it is that I think we know, I create a schematic that will link claims (language) to actions in advising, implementing, or evaluating information practices and systems.I will then contrast this with what we do not know, that is, what the unanswered questions might be (Gnoli, 2008 ; Dahlberg, 2011), and I will discuss them in relation to the two weights in our field of KO.Further, I will try to provide a systematic overview of possible ways to address these open questions in KO research. I will draw on the concept of elenchus - the forms of epistemology, theory, and methodology in KO (Tennis, 2008), and framework analysis which are structures, work practice, and discourses of KO systems (Tennis, 2006). In so doing, I will argue for a Neopragmatic stance on the weight of language and action in KO (Rorty, 1982 ; 2000). I will close by addressing the lacuna left in Neopragmatic thought – the ethical imperative to use language and action in a particular good and moral way. That is, I will address the ethical imperative of KO given its weights, epistemologies, theories, and methods. To do this, I will review a sample of relevant work on deontology in both western and eastern philosophical schools (e.g., Harvey, 1995).The perspective I want to communicate in this section is that the good in carrying out KO research may begin with epistemic stances (cf., language), but ultimately stands on ethical actions. I will present an analysis describing the micro and the macro ethical concerns in relation to KO research and its advice on practice. I hope this demonstrates that the direction of epistemology, theory, and methodology in KO, while burdened with the dual weights of language and action, is clear when provided an ethical sounding board. We know how to proceed when we understand how our work can benefit the world.KO is an important, if not always understood, division of labor in a society that values its documentary heritage and memory institutions. Being able to do good requires us to understand how to balance the weights of language and action. We must understand where we stand and be able to chart a path forward, one that does not cause harm, but adds value to the world and those that want to access recorded knowledge.

The role of literature: english textbooks and literature in secondary teaching in Portugal

Trabalho de Projecto apresentado para cumprimento dos requisitos necessários à obtenção do grau de Mestre em Ensino de Inglês

Identidad nacional, lengua y escuela = National identity, language and school

La globalización cuestiona la existencia de una relación mimética entre ciudadanía y Estado-nación. Las identidades homogéneas, sustentadas ideológicamente en nociones como «lengua nacional», plantean problemas en sociedades en las que ha crecido espectacularmente la diversidad lingüística e identitaria. Cataluña es un territorio en el que una parte de la población afirma una identidad catalana distinta a la española y viceversa. Además, se ha teorizado que la identidad catalana y la lengua catalana coexisten mutuamente. Por eso, se suceden voces que defienden la presencia del catalán en la educación escolar como fuente de la identidad nacional catalana, mientras que otras voces defienden su presencia simplemente como una buena manera de aprender el catalán cuando no se puede aprender en el medio social y familiar. En los últimos años, Cataluña ha recibido casi un millón de personas extranjeras que han modificado notablemente su situación sociolingüística. Las últimas encuestas manifiestan que un 6,3% de la población utiliza habitualmente una lengua distinta del catalán y del castellano. En este marco, mostramos las construcciones identitarias de un grupo de adolescentes de origen extranjero que están en el segundo ciclo de la ESO. Los datos fueron recogidos mediante dos grupos de discusión de seis-siete estudiantes de distinto origen, lengua propia y tiempo de residencia en Cataluña. Los resultados muestran la importancia del lugar de origen en la construcción de la identidad. Además, los participantes que afirman sentimientos catalanes o españoles no los relacionan con la lengua sino con los intercambios sociales que han establecido con sus iguales de origen naciona. Las intervenciones muestran también las dificultades para promover identidades múltiples desde el contexto escolar que eviten actitudes racistas y xenófobas y sirvan para promover proyectos colectivos de futuro en los que se pueda vivir desde una cierta diferencia

Lengua familiar y conocimiento de la lengua escolar en Cataluña al finalizar la Educación Infantil = Home Language and Knowledge of the School Language in Catalonia at the end of Nursery School

La infancia extranjera se escolariza en Cataluña en un programa de cambio de lengua del hogar a la escuela. Las investigaciones afirman que este alumnado tarda un mínimo de seis años en equiparar sus habilidades lingüístico-cognitivas con sus pares autóctonos, no así las habilidades conversacionales, las cuales se adquieren antes de los dos años de residencia. Sin embargo, no existen estudios sobre los efectos de la escolarización en el parvulario del alumnado alófono, así como de su lengua familiar, en relación con la adquisición de la lengua escolar. El artículo es un estudio comparativo de la adquisición del catalán de 567 autóctonos y 434 alófonos, al final del parvulario, en 50 escuelas de Cataluña que escolarizan a alumnado de origen extranjero. Las lenguas del alumnado autóctono son el catalán, el castellano y el bilingüismo catalán-castellano y las lenguas del alumnado alófono son el árabe, el soninké y el castellano. Los factores utilizados más relevantes han sido el nivel socioprofesional y educativo de las familias, el tiempo de residencia y el momento de escolarización del alumnado, el porcentaje de alumnado catalanohablante y de alumnado alófono en el aula y el contexto sociolingüístico del centro escolar. Los resultados muestran que el alumnado autóctono sabe más catalán que el alumnado alófono, pero las diferencias desaparecen respecto a algunos factores, de los cuales los más relevantes son los relacionados con las características del alumnado de las aulas. La lengua familiar del alumnado alófono no incide en sus resultados

El plan de lengua y cohesión social en Catañunya: primeros datos de una investigación = Language and Social Cohesion Plan in Catalonia: Initial research data

Los programas de inmersión lingüística han constituido y constituyen dentro del Sistema Educativo catalánla principal forma para que el alumnado de lengua familiar no-catalana aprenda una nueva lengua, el catalán,sin que, en su proceso de aprendizaje, vea mermado ni el desarrollo de su propia lengua ni su rendimientoacadémico. El éxito de la inmersión lingüística en las décadas anteriores ha sido frecuentemente utilizado comouno de los argumentos orientativos para justificar la política lingüística que se sigue en la escolarización de lainfancia extranjera. Sin embargo, los resultados obtenidos por investigaciones recientes parece que no avalanempíricamente dicho argumento. Este artículo analiza dichos resultados y expone, a partir del Plan para laLengua y Cohesión Social puesto en marcha por el Departamento de Educación de la Generalitat de Cataluña,cuáles son los retos que se presentan a su Sistema Educativo dentro del nuevo marco que supone el aumento de ladiversidad cultural y lingüística en la actual sociedad catalana

El plan de lengua y cohesión social en Catañunya: primeros datos de una investigación = Language and Social Cohesion Plan in Catalonia: Initial research data

Los programas de inmersión lingüística han constituido y constituyen dentro del Sistema Educativo catalán la principal forma para que el alumnado de lengua familiar no-catalana aprenda una nueva lengua, el catalán, sin que, en su proceso de aprendizaje, vea mermado ni el desarrollo de su propia lengua ni su rendimiento académico. El éxito de la inmersión lingüística en las décadas anteriores ha sido frecuentemente utilizado como uno de los argumentos orientativos para justificar la política lingüística que se sigue en la escolarización de la infancia extranjera. Sin embargo, los resultados obtenidos por investigaciones recientes parece que no avalan empíricamente dicho argumento. Este artículo analiza dichos resultados y expone, a partir del Plan para la Lengua y Cohesión Social puesto en marcha por el Departamento de Educación de la Generalitat de Cataluña, cuáles son los retos que se presentan a su Sistema Educativo dentro del nuevo marco que supone el aumento de la diversidad cultural y lingüística en la actual sociedad catalana

El plan para la lengua y la cohesión social (Plan LIC) del gobierno de Cataluña = The language and social cohesion plan from the Government of Catalonia

El Plan para la Lengua y la Cohesión Social es un proyecto estratégico del gobierno de Cataluña para la mejora de la educación. Sus tres objetivos fundamentales son: consolidar la lengua catalana, fomentar la educación intercultural y promover la igualdad de oportunidades. Este artículo explica el origen y las finalidades del Plan, sus ejes estratégicos y emblemáticos, y los contextos socioculturales y políticos en los que se plantea y desarrolla

Considering heteroglossia in language and development in Sub-Saharan Africa

Countries throughout the sub-Saharan (SSA) region have a complex linguistic heritage having their origins in opportunistic boundary changes effected by Western colonial powers at the Berlin Conference 1884-85. Postcolonial language-in-education policies valorizing ex-colonial languages have contributed at least in part to underachievement in education and thus the underdevelopment of human resources in SSA countries. This situation is not likely to improve whilst unresolved questions concerning the choice of language(s) that would best support social and economic development remain. Whilst policy attempts to develop local languages have been discussed within the framework of the African Union, and some countries have experimented with models of multilingual education during the past decade, the goalposts have already changed as a result of migration and trade. This paper argues that language policy makers need to be cognizant of changing language ecologies and their relationship with emerging linguistic and economic markets. The concept of language, within such a framework, has to be viewed in relation to the multiplicity of language markets within the shifting landscapes of people, culture, economics and the geo-politics of the 21st Century. Whilst, on the one hand, this refers to the hegemony of dominant powerful languages and the social relations of disempowerment, on the other hand, it also refers to existing and evolving social spaces and local language capabilities and choices. Within this framework the article argues that socially constructed dominant macro language markets need to be viewed also in relation to other, self-defined, community meso- and individual micro- language markets and their possibilities for social, economic and political development. It is through pursuing this argument that this article assesses the validity of Omoniyi’s argument in this volume, for the need to focus on the concept of language capital within multilingual contexts in the SSA region as compared to Bourdieu’s concept of linguistic capital.  

Language and thought in a multilingual context: the case of isiXhosa

Situated within the grammatical aspect approach to motion event cognition, this study takes a first step in investigating language and thought in functional multilinguals by studying L1 isiXhosa speakers living in South Africa. IsiXhosa being a non-aspect language, the study investigates how the knowledge and use of additional languages with grammatical aspect influence cognition of endpoint-oriented motion events among L1 isiXhosa speakers. Results from a triads-matching task show that participants who often used aspect languages and had greater exposure to English in primary education were less prone to rely on endpoints when categorising motion events.

Language and Identity at School and at Home : Language Shift among Mennonites in Paraguay

This essay has investigated the question of an ongoing language shift from Plattdeutsch and German to Spanish among the Mennonites in Paraguay and the role of the school in this process. The aims of the study were to compare the use of languages among the Mennonites in Asuncion and in the Menno colony and to identify the importance that parents give to the languages and to compare this with a school leader perspective. The aim was also to identify factors that influence the language shift and identify the influence that the shift excerpts on Mennonite values and identity. The results are based on my own observations, interviews with Mennonite women and interviews with key informants who have insight into the school policy issues. The outcome may be used as a basis for educational and language planning. There is a need to consciously sit down and re-define the Mennonite identity and to make the community and the school aware of their responsibility in language maintenance.

Language and interaction in online asynchronous communication in university level English courses

Interaction involves people communicating and reacting to each other. This process is key to the study of discourse, but it is not easy to study systematically how interaction takes place in a specific communicative event, or how it is typically performed over a series of repeated communicative events. However, with a written record of the interaction, it becomes possible to study the process in some detail. This thesis investigates interaction through asynchronous written discussion forums in a computer-mediated learning environment. In particular, this study investigates pragmatic aspects of the communicative event which the asynchronous online discussions comprise. The first case study examines response patterns to messages by looking at the content of initial messages and responses, in order to determine the extent to which characteristics of the messages themselves or other situational factors affect the interaction. The second study examines in what ways participants use a range of discourse devices, including formulaic politeness, humour and supportive feedback as community building strategies in the interaction. The third study investigates the role of the subject line of messages in the interaction, for example by examining how participants choose different types of subject lines for different types of messages. The fourth study examines to what extent features serving a deictic function are drawn on in the interaction and then compares the findings to both oral conversation and formal academic discourse. The overall findings show a complex communicative situation shaped by the medium itself, type of activity, the academic discipline and topic of discussion and by the social and cultural aspects of tertiary education in an online learning environment. In addition, the findings may also provide evidence of learning.