Beiträge zum Mathematikunterricht 2015. Vorträge auf der 49. Tagung für Didaktik der Mathematik vom 09.02.2015 bis 13.02.2015 in Basel [Band 1]

Die Jahrestagung der Gesellschaft für Didaktik der Mathematik fand im Jahr 2015 zum dritten Mal in der Schweiz statt. [...] Mit rund 300 Vorträgen, 16 moderierten Sektionen, 15 Arbeitskreistreffen und 21 Posterpräsentationen eröffnete sich ein breites Spektrum an Themen und unterschiedlichen Zugangsweisen zur Erforschung von Fragen rund um das Lernen und Lehren von Mathematik. (DIPF/Orig.)

O director de turma como mediador entre o concelho de turma, os alunos, e os encarregados de educação: Contributos para a avaliação da direcção de turma

O presente estudo tem como objectivo investigar o reconhecimento e a relevância do papel do Director de Turma enquanto gestor intermédio para os alunos, os encarregados de educação e para os próprios, tendo em conta a interface inter-relacionai em que a função se desenvolve. Este trabalho teve como pressupostos de base a convicção de que a Educação é um fenómeno complexo que, para além de outras, mobiliza dimensões sociológicas, psicológicas e epistemológicas, além de necessitar, constantemente, de reflexão sobre as suas práticas. Assim, conscientes de que o papel do Director de Turma é de grande importância nas organizações escolares, foi nosso objectivo estudá-lo sob o ponto de vista teórico a partir de uma reflexão na prática e efectuar um estudo empírico do modo como a função é percepcionada como elo de ligação entre os Alunos, os Encarregados de Educação e a Escola. Aborda-se a figura do Director de Turma, enquanto gestor pedagógico intermédio da organização escolar, tendo em conta as atribuições que lhe são consagradas na lei e a forma como os demais parceiros vêm a sua função, em especial numa Escola do 2º e 3° ciclos do Ensino Básico, de acordo com as perspectivas/representações dos próprios actores educativos. O estudo visou em concreto, proporcionar uma análise sustentada do reconhecimento e valorização da figura do Director de Turma enquanto mediador entre o aluno, os encarregados de educação e a Escola. Pretendeu-se, nomeadamente, questionar teórica e empiricamente, a interacção e a articulação entre a formação pessoal, a actuação e as representações dos Directores de Turma. Assim, investigou-se de que modo o Director de Turma, considerado como um agente de mediação, é ou não reconhecido e valorizado enquanto figura responsável pela ligação do aluno e do seu encarregado de educação à Escola. Como opção metodológica optou-se por um estudo de caso, recorrendo à complementaridade entre os procedimentos quantitativos e qualitativos, de acordo com os objectivos visados. Assim, as técnicas de recolha de dados utilizados neste estudo foram o inquérito, por questionário, e a entrevista. Estes instrumentos foram sendo sucessivamente aperfeiçoados. Participaram, a nível do inquérito por questionário, duas turmas, uma do 2° ciclo e outra do 3° ciclo (num total de 45 alunos e respectivos encarregados de educação) e a nível da entrevista, os dois Directores de Turma das turmas envolvidas. Procurou-se, deste modo, contribuir para elucidar em que medida a figura do Director de Turma é reconhecida e valorizada como elo de ligação entre os Alunos, os Encarregados de Educação e a Escola enquanto gestor intermédio. Nas Conclusões após o confronto entre as questões de partida, o quadro teórico e os resultados do estudo empírico, discutem-se as dificuldades e limitações que um estudo desta natureza envolve. Avança-se, por fim, com algumas sugestões que a investigação realizada permite, no sentido de utilizar o conhecimento produzido para melhorar o relacionamento entre o Aluno, os Encarregados de Educação e a Escola e, consequentemente, o processo ensino-aprendizagem. ABSTRACT; The purpose of this study is to investigate the recognition and relevance of the role of the classroom director as an intermediate supervisor to the students, the parents and the classroom director himself, having in mind the inner- relation interface the function takes place. This work was conceived on the basic notion that Education is a complex-phenomenon, setting in motion, among other things, sociological, psychological and epistemological dimensions, as well as requiring, frequently, reflection about its practices. Therefore, conscious of the fact that the role of the class director is of enormous importance within a school environment, our aim was to study it from the theoretical point of view by a reflection in practice and performing an empirical analysis on the way it is understood as a link among the students, parents and the school. The role of classroom director is thus analysed as a pedagogical director in a school setting. Taking into consideration the rights conferred to him/her by law and the way all the other partners assign to the class director, particularly in a 2nd and 3rd cycle of the Elementary School system, in accordance with the perspectives/representations of the education actors. More specifically, this study is an in-depth analysis of the recognition and the valuation of the class director figure as a mediator among the pupils, the parents and the school. ln other words, the interaction between theory and practice in the daily performance of the classroom director were questioned and studied for further analysis. Hence, questioned the way in which the classroom director, seen as a mediation agent, could be considered as a coordinator, recognized and valorized as the responsible figure by the linking among the pupil and his/her parents to the school. The case was realized in the 2nd and 3rd cycle of an elementary school in the Alentejo. As a methodological option, quantitative and qualitative processes were both employed, thus keeping in line with the main objective of this work. Therefore, the data collected and herein utilized were the result of queries, i.e., questionnaires and personal interviews. The former were addressed at the pupils of two classes, one of the 2nd cycle and another of the 3rd cycle of the school and their parents (45 pupils and the same number of parents in total), and the two classroom directors of the classes implicated in the study. ln the Conclusion, a balance of the study is presented, comparing the initial research questions, the theoretical framework, and the results of the empirical analysis developed. A few suggestions are presented from the experience gained in this investigation, i.e., using the knowledge acquired in order to improve and enrich the relationship among the pupils, the parents, the school, and the teaching learning process.

Erziehung zur Gleichheit. Mathilde Franziska Annekes Töchter-Institut in Milwaukee und ihr Eintreten für Rechte der Frauen

Im Zentrum der vorliegenden Untersuchung steht das 1865 gegründete Töchter-Institut Mathilde Franziska Annekes in Milwaukee, Wisconsin. Dieses Schulprojekt der Achtundvierzigerin und Frauenrechtlerin wird verglichen mit Bildungsreformansätzen der Amerikanerin Catherine Beecher sowie solchen deutscher Pädagogen. Zum einen soll dabei die Besonderheit von Annekes Konzept herausgearbeitet werden, zum anderen soll der Stellenwert der Schule in den Frauenrechtsaktivitäten von Anneke beleuchtet werden. Die Analyse der sozialen Herkunft ihrer Schülerinnenschaft ergibt eine Neubewertung von Annekes Stellung als Frauenrechtlerin in Milwaukee. (DIPF/Orig.)

Actividad física y deportiva en los niños con discapacidad mental del Centro Educativo Calasanz de la Ciudad de Cuenca

En líneas generales este trabajo presenta como las personas con discapacidad son integras a la libre participación e involucramiento en diferentes actividades cotidianas de su vida. El impacto negativo de la discapacidad es una realidad social. Algunos grupos soportan niveles de exclusión y factores de discriminación, es decir, la situación de muchas de estas personas y sus familias se caracteriza por un rechazo severo, tales como la pobreza, la discriminación y la ausencia de igualdad efectiva de oportunidades. Es por ello que en el primer capítulo se va conocer las líneas generales, la importancia y la valoración del grado de desarrollo de sus capacidades y sobre todo sus necesidades educativas especiales En el capítulo dos, va encaminado a cómo mejorar las capacidades y habilidades de los alumnos con capacidades diferentes, es necesario mejorar o articular en las adaptaciones curriculares para un mayor manejo y aprendizaje apropiado con los estudiantes. En el capítulo tres, tiene que ver todo en cuanto a las planificaciones de trabajo, basados en las nuevas adaptaciones curriculares, guías, valoraciones, test, y resultados. El Capítulo IV, tiene que ver con las competencias en diferentes disciplinas deportivas; sus resultados, dentro de este proceso se ha implementado planes de clases adaptados a cada escolar; pero tomando en cuenta sus necesidades individuales, formados por el buen uso del tiempo libre en desarrollar actividades lúdicas con el fin de mejorar y potencializar en sus diferentes tipos de movimientos.

Student, school, and country differences in sustained test-taking effort in the 2009 PISA reading assessment

In this article, the change in examinee effort during an assessment, which we will refer to as persistence, is modeled as an effect of item position. A multilevel extension is proposed to analyze hierarchically structured data and decompose the individual differences in persistence. Data from the 2009 Program of International Student Achievement (PISA) reading assessment from N = 467,819 students from 65 countries are analyzed with the proposed model, and the results are compared across countries. A decrease in examinee effort during the PISA reading assessment was found consistently across countries, with individual differences within and between schools. Both the decrease and the individual differences are more pronounced in lower performing countries. Within schools, persistence is slightly negatively correlated with reading ability; but at the school level, this correlation is positive in most countries. The results of our analyses indicate that it is important to model and control examinee effort in low-stakes assessments. (DIPF/Orig.)

A competence model for environmental education

The goal of environmental education is ultimately to enable a person to strive for and to attain a more ecological way of life. In this article, we begin by distinguishing three forms of environmental knowledge and go on to predict that people's attitude toward nature represents the force that drives their ecological behavioral engagement. Based on data from 1,907 students, we calibrated previously established instruments to measure ecological behavior, environmental knowledge, and attitude toward nature with Rasch-type models. Using path modeling, we corroborated our theoretically anticipated competence structure. While environmental knowledge revealed a modest behavioral effect, attitude toward nature turned out to be, as expected, the stronger determinant of behavior. Overall, we propose a competence model that has the potential to guide us into more evidence-based ways of promoting the overall ecological engagement of individuals. (DIPF/Orig.)

Zur Konstruktion von Leistungsdifferenz im instrumentalen Gruppenunterricht. Theoretische Perspektiven und forschungspraktische Überlegungen

Die aktuelle bildungspolitische Diskussion um Chancengleichheit und Bildungsgerechtigkeit ist eng verknüpft mit einem insbesondere erziehungswissenschaftlichen Diskurs um einen angemessenen Umgang mit den unterschiedlichen Lernvoraussetzungen von Schülerinnen und Schülern. Dabei steht die Forderung nach einer "[s]ozialen Anerkennung" im Zentrum, die sich nicht nur auf die Gleichheit von Schülerinnen und Schüler bezieht, sondern auch die "Anerkennung der Differenz" umfasst. Dies stellt Lehrende vor die Herausforderung einer binnendifferenzierten Unterrichtsplanung und -gestaltung, die sich an den individuellen Bedürfnissen, Fähigkeiten und Interessen der Schülerinnen und Schüler orientiert. Gleichzeitig bergen die einer solchen Unterrichtsgestaltung zugrunde liegenden diagnostischen Prozesse jedoch die Gefahr einer Etikettierung und Kategorisierung der Schülerinnen und Schüler. Diese können zu Hierarchisierungen und sogar Diskriminierungen führen und sich auch in den Leistungsbeurteilungen der Lehrenden niederschlagen. Der "pädagogische Anspruch, Gemeinsamkeit und Vielfalt auf Basis von Gleichwertigkeit zu denken", kann somit erst mit der "Überwindung hierarchischen Denkens in Differenzierungsmustern [...] in eine für didaktisches Handeln handhabbare Form überführt werden". (DIPF/Orig.)

Klasseneffekte oder individuelle Einflussgrößen. Was bestimmt die Teilnahme am Instrumentallernen im Grundschulalter

In den vergangenen Jahren hat die Diskussion um kulturelle Teilhabe im Rahmen der Ergebnisse großer Bildungsstudien zugenommen. Diese hatten eine hochgradige Abhängigkeit des Bildungserfolgs und des Kompetenzerwerbs vom sozialen Hintergrund der Kinder und ihrer Familien konstatiert (u.a. Ehmke & Jude 2010, S. 250). Auch für den Teilaspekt der kulturellen Teilhabe ließen sich in Studien soziale Disparitäten feststellen: Die rezeptive Nutzung kultureller Angebote durch Kinder und Jugendliche unterliegt einer deutlichen sozialen Selektivität (Autorengruppe Bildungsberichterstattung 2012, S. 165). Gleichzeitig ist mit dem Programm Jedem Kind ein Instrument eine große Initiative zur Förderung frühen Instrumentallernens in der Grundschulzeit angelaufen. Die Initiatoren verfolgen dabei explizit das Ziel, die Kluft „zwischen kulturaffinen Elternhäusern und bildungsfernen Schichten" (Kulturstiftung des Bundes, 2012) in Bezug auf kulturelle Bildung zu verringern, eine „Grundversorgung" (ebd.) sicherzustellen und im demokratischen Sinne niemanden von der Alphabetisierung in Sachen Kunst auszuschließen (Völckers, 2007). Die Teilnahme von Kindern an Instrumentalunterricht während der Grundschulzeit wird hier also als ein Aspekt aktiver kultureller Teilhabe gedeutet und wird im Folgenden einer Analyse unterzogen. (DIPF/Orig.)

Herausforderung Inklusion? Ein mehrperspektivischer Blick auf die JeKi-Praxis an Schulen mit gemeinsamem Unterricht (GU)

[Der Beitrag nähert sich der Frage], ob die aktuelle JeKi-Praxis günstige Voraussetzungen für die erweiterte Einführung inklusiver Settings bietet und wie die bestehenden Ansätze eines inklusiven JeKi-Unterrichts in Grundschulen mit gemeinsamem Unterricht eingeschätzt werden können. [...] Für jede dieser Ebenen wurden in der Studie „JeKi und gemeinsamer Unterricht" ausgewählte Fragestellungen untersucht, in der vorliegenden Darstellung sollen zwei Aspekte im Vordergrund stehen, die der innerpsychischen und der institutionellen Ebene zugeordnet werden können. (DIPF/Orig.)

„Am Liebsten wollte ich nur noch zuhören, das konnte ich nicht, weil: ich musste singen.“ Eine Untersuchung zum Erleben von Kindern bei ihrer Teilnahme an einem Chorkonzert

How do children experience participating in a choral performance? What matters most to them? How do they remember and talk about the event? The interview-based study demonstrates that children retain complex memories of such an event and can report on the experience in a differentiated manner, including their self-perception while singing, their social experience, and the various emotions associated with it. They evaluate the songs that were sung, and imbue the venue with meaning. Active participation in a choral performance enables children to share and reflect on music, providing them with a lasting, positively connoted memory of a musical experience. (DIPF/Orig.)

Soziale Ungleichheiten beim Übergang von der Grundschule in die Sekundarstufe I. Theorie, Forschungsstand, Interventions- und Fördermöglichkeiten

Auf der Basis eines theoretischen Modells zum Übergangsprozess, in dem primäre und sekundäre Herkunftseffekte nach Boudon unterschieden werden, fasst der vorliegende Beitrag den empirischen Kenntnisstand zum Einfluss der familiären Herkunft auf den Übergang von der Grundschule in die Sekundarstufe I zusammen. Dabei wird neben den primären Effekten zwischen verschiedenen Arten von sekundären Herkunftseffekten unterschieden: sekundäre Effekte der Leistungsbeurteilung, der Schullaufbahnempfehlung und des Übergangsverhaltens. Die Befunde sprechen für die Existenz primärer und sekundärer Herkunftseffekte im deutschen Schulsystem: Kinder aus sozial schwachen Familien haben schlechtere Schulleistungen, erhalten jedoch selbst bei gleichen Testleistungen noch schlechtere Beurteilungen durch die Lehrkräfte (Noten und Schullaufbahnempfehlungen) und gehen bei gleichen Testleistungen und Schulnoten und gleicher Empfehlung häufiger auf niedrigere Schulformen über. Weiterhin werden Ergebnisse aus Studien zur Quantifizierung und Neutralisation von primären und sekundären Herkunftseffekten vorgestellt und diskutiert sowie mögliche Interventions- und Fördermöglichkeiten zur Verringerung der Herkunftseffekte beim Übergang aufgezeigt.

High-stakes testing and Educational Governance – insights and innovations in European school systems. Special Issue Editorial

International research with regard to the intended as well as to the unintended outcomes and effects of high-stakes testing shows that the impact of high-stakes tests has important consequences for the participants involved in the respective educational systems. The purpose of this special issue is to examine the implementation of high-stakes testing in different national school systems and to refer to the effects in view of the concept of Educational Governance. (DIPF/Orig.)

Does gender make a difference? Gender-related fairness of high-stakes testing in A-level examinations in English as foreign language in the German state of North Rhine-Westphalia in the context of Educational Governance

The shift from decentralized to centralized A-level examinations (Abitur) was implemented in the German school system as a measure of Educational Governance in the last decade. This reform was mainly introduced with the intention of providing higher comparability of school examinations and student achievement as well as increasing fairness in school examinations. It is not known yet if these ambitious aims and functions of the new centralized examination format have been achieved and if fairer assessment can be guaranteed in terms of providing all students with the same opportunities to pass the examinations by allocating fair tests to different student subpopulations e.g., students of different background or gender. The research presented in this article deals with these questions and focuses on gender differences. It investigates gender-specific fairness of the test items in centralized Abitur examinations as high school exit examinations in Germany. The data are drawn from Abitur examinations in English (as a foreign language). Differential item functioning (DIF) analysis reveals that at least some parts of the examinations indicate gender inequality. (DIPF/Orig.)

How do teachers prepare their students for statewide exit exams? A comparison of Finland, Ireland, and the Netherlands

Statewide exit exams are often believed to have a positive impact on school effectiveness and the alignment between instructional practice and state standards because of their mandatory nature and the stakes attached for students and teachers. They may also, however, lead to teaching to the test and to a perceived de-professionalization of the teaching role. While some studies suggest a narrowing of contents and an increase in teacher-centered instruction, little is known about how the impact on instructional practices and teacher cognitions varies between different exam systems. This study compares the strategies teachers use to prepare their students for the exams at the end of upper secondary education in Finland, Ireland, and the Netherlands using a standardized questionnaire survey with responses from 385 teachers. The goal was to develop hypotheses about the relationship between differences in the exam procedures and the stakes attached, and the differences in teacher preparation strategies. The results suggest country-specific variations regarding teacher beliefs as to how much time should be spent on exam preparation; however, there were smaller differences in the strategies applied. Regression analyses indicated that the way in which preparation intensity was associated with the stakes for students and schools, and the attitudes towards the exams themselves varied across the three countries. The different exam systems appeared to affect preparation in markedly different ways, but nevertheless led to the exercise of comparable strategies. (DIPF/Orig.)

Governing the transition to higher levels of education and differences between achievement and school grades by gender

The author will explore the performance of boys and girls in external examinations in Slovenia at the beginning of upper secondary and tertiary education. These are critical points in students’ educational career at which he/she has to choose a school/university. Since both transitions are managed centrally by appropriate authorities, this is also a question of Educational Governance. Transitions between levels of education should, above all, assure fairness in selection procedures. At the point of transition to upper secondary schools we will explore differences between students’ achievements in various school subjects tested at the national assessment of knowledge (NA), and their school grades by gender. Since only school grades are used as admission criteria to upper secondary schools, this comparison of school grades with external and more objective measure of students’ achievement will show possible bias. In Slovenia admission to tertiary education usually consists of (externally assessed) Matura results and school grades in the last two years of upper secondary school. The author will compare the effects of both most commonly used measures of academic achievement on admission in view of gender differences. Study courses where selection procedure was actually applied will be of specific interest since they can show signs of (un)fairness. Results show signs of bias and build case for better Educational Governance. (DIPF/Orig.)