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This book contains suggestions for and reflections on the teaching, learning and assessing of mathematical modelling and applications in a rapidly changing world, including teaching and learning environments. It addresses all levels of education from universities and technical colleges to secondary and primary schools. Sponsored by the International Community of Teachers of Mathematical Modelling and Applications (ICTMA), it reflects recent ideas and methods contributed by specialists from 30 countries in Africa, the Americas, Asia, Australia and Europe. Inspired by contributions to the Fourteenth Conference on the Teaching of Mathematical Modelling and Applications (ICTMA14) in Hamburg, 200...
This book presents a literature review of and a state-of-the-art glimpse into current research on affect-related aspects of teaching and learning in and beyond mathematics classrooms. Then, research presented at the MAVI 25 Conference, which took place in Intra (Italy) in June 2019, is grouped in thematic strands that capture cutting-edge issues related to affective components of learning and teaching mathematics. The concluding chapter summarises the main messages and sketches future directions for research on affect in mathematics education. The book is intended for researchers in mathematics education and especially graduate students and PhD candidates who are interested in emotions, attitudes, motivations, beliefs, needs and values in mathematics education.
International mathematics education researchers give a differentiated overview of views and beliefs of both teachers and students. Beliefs about how to teach mathematics have a high impact on the instructional practice of teachers. In the same way, views and beliefs about mathematics are an essential factor to explain achievement and performance of students. The 19th MAVI conference added a variety of research perspectives to the international discussions of mathematics related beliefs. The authors of this volume have compiled a rich selection of research results, which may further enhance the discussion of MAVI topics in the future.
This contributed volume is an exciting product of the 22nd MAVI conference, which presents cutting-edge research on affective issues in teaching and learning math. The teaching and learning of mathematics is highly dependent on students’ and teachers’ values, attitudes, feelings, beliefs and motivations towards mathematics and mathematics education. These peer-reviewed contributions provide critical insights through their theoretically and methodologically diverse analyses of relevant issues related to affective factors in teaching and learning math and offer new tools and strategies by which to evaluate affective factors in students’ and teachers’ mathematical activities in the clas...
The book presents a selection of the most relevant talks given at the 21st MAVI conference, held at the Politecnico di Milano. The first section is dedicated to classroom practices and beliefs regarding those practices, taking a look at prospective or practicing teachers’ views of different practices such as decision-making, the roles of explanations, problem-solving, patterning, and the use of play. Of major interest to MAVI participants is the relationship between teachers’ professed beliefs and classroom practice, aspects that provide the focus of the second section. Three papers deal with teacher change, which is notoriously difficult, even when the teachers themselves are interested in changing their practice. In turn, the book’s third section centers on the undercurrents of teaching and learning mathematics, which can surface in various situations, causing tensions and inconsistencies. The last section of this book takes a look at emerging themes in affect-related research, with a particular focus on attitudes towards assessment. The book offers a valuable resource for all teachers and researchers working in this area.
Boris Girnat befasst sich mit berufsrelevanten Überzeugungssystemen von Lehrkräften und nutzt dafür den Begriff des individuellen Curriculums als zentrales Schlüsselkonzept. Er zeigt, dass das professionelle Wissen von Lehrerinnen und Lehrern ein wesentlicher Einflussfaktor für den Schulunterricht und das Lernergebnis aufseiten der Schülerinnen und Schüler ist. Anhand von neun Fallstudien analysiert der Autor die individuellen Curricula von Lehrkräften zum Geometrieunterricht in den beiden Sekundarstufen und ordnet sie in die historische, erkenntnistheoretische und mathematikdidaktische Debatte über den Geometrieunterricht von der Neuen Mathematik bis zu den Bildungsstandards ein.
In diesem Band werden Folgerungen aus den Ergebnissen der Bildungsstandardüberprüfungen in Mathematik in der 8. Schulstufe (2012 und 2017) für den Unterricht aufgezeigt. Dazu werden die Daten anhand neuer Fragestellungen und Aspekte ausgewertet und anschließend fachdidaktisch für den praktischen Einsatz interpretiert. So sollen die Handelnden in der Aus-, Fort- und Weiterbildung für Lehrer/innen sowie in den Schulen motiviert werden, die vorgestellten Ergebnisse für den eigenen Unterricht zu nutzen.
Die Leitidee „Daten und Zufall“ stellt einen der fünf Inhaltsbereiche dar, die für den Mathematikunterricht in der Sekundarstufe I maßgeblich und aufgrund der Bildungsstandards bundesweit verbindlich sind. Wie aber kann man diese Leitidee mit Leben füllen? Wie kann man Statistik und Wahrscheinlichkeitsrechnung zu der einen Leitidee Daten und Zufall für die Schule verknüpfen? Das Buch "Leitidee Daten und Zufall" für die Sekundarstufe I gibt hierauf unterrichtspraktische und didaktisch-methodische Antworten. Es geht von konkreten unterrichtsrelevanten Problemstellungen aus und entfaltet an diesen die aktuellen Fragen der Stochastikdidaktik. Über tragfähige Beispiele werden inhalts- und prozessbezogene Standards zur Stochastik vernetzt, um lebensnahe statistische Phänomene im Unterricht erfahrbar werden zu lassen.
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Reviews are an important aspect of scholarly discussion because they help filter out which works are relevant in the yearly flood of publications and are thus influential in determining how a work is received. The IBR, published again since 1971 as an interdisciplinary, international bibliography of reviews, it is a unique source of bibliographical information. The database contains entries on over 1.2 million book reviews of literature dealing primarily with the humanities and social sciences published in 6,820, mainly European scholarly journals. Reviews of more than 560,000 scholarly works are listed. The database increases every year by 60,000 entries. Every entry contains the following information: On the work reviewed: author, title On the review: reviewer, periodical (year, edition, page, ISSN), language, subject area (in German, English, Italian) Publisher, address of journal