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Traditions in German-Speaking Mathematics Education Research

Author: Hans Niels Jahnke

Publisher: Springer

Published: 2019-02-13

Total Pages: 283

ISBN-13: 3030110699

This open access book shares revealing insights into the development of mathematics education research in Germany from 1976 (ICME 3 in Karlsruhe) to 2016 (ICME 13 in Hamburg). How did mathematics education research evolve in the course of these four decades? Which ideas and people were most influential, and how did German research interact with the international community? These questions are answered by scholars from a range of fields and in ten thematic sections: (1) a short survey of the development of educational research on mathematics in German speaking countries (2) subject-matter didactics, (3) design science and design research, (4) modelling, (5) mathematics and Bildung 1810 to 1850, (6) Allgemeinbildung, Mathematical Literacy, and Competence Orientation (7) theory traditions, (8) classroom studies, (9) educational research and (10) large-scale studies. During the time span presented here, profound changes took place in German-speaking mathematics education research. Besides the traditional fields of activity like subject-matter didactics or design science, completely new areas also emerged, which are characterized by various empirical approaches and a closer connection to psychology, sociology, epistemology and general education research. Each chapter presents a respective area of mathematics education in Germany and analyzes its relevance for the development of the research community, not only with regard to research findings and methods but also in terms of interaction with the educational system. One of the central aspects in all chapters concerns the constant efforts to find common ground between mathematics and education. In addition, readers can benefit from this analysis by comparing the development shown here with the mathematical education research situation in their own country.

Traditions in German-Speaking Mathematics Education Research

Author: Lisa Hefendehl-Hebeker

Publisher:

Published: 2020-10-08

Total Pages: 282

ISBN-13: 9781013271830

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Traditions in German-Speaking Mathematics Education Research

Author: Hans Niels Jahnke

Publisher: Springer

Published: 2019-02-22

Total Pages: 278

ISBN-13: 9783030110680

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European Traditions in Didactics of Mathematics

Author: Werner Blum

Publisher: Springer

Published: 2019-02-18

Total Pages: 212

ISBN-13: 3030055140

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This open access book discusses several didactic traditions in mathematics education in countries across Europe, including France, the Netherlands, Italy, Germany, the Czech and Slovakian Republics, and the Scandinavian states. It shows that while they all share common features both in the practice of learning and teaching at school and in research and development, they each have special features due to specific historical and cultural developments. The book also presents interesting historical facts about these didactic traditions, the theories and examples developed in these countries.

Design Science and Its Importance in the German Mathematics Educational Discussion

Author: Marcus Nührenbörger

Publisher: Springer

Published: 2016-07-26

Total Pages: 50

ISBN-13: 3319435426

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This ICME-13 Topical Survey reviews the state-of-the-art by first exploring the roots and scope of design science. Second, it presents two examples of current design science projects that focus on substantial learning environments including a student and a teacher perspective. Subsequently, the book elaborates on how empirical research can be conceptualised within design science. Lastly, it explores developments in design science from a national and international perspective, while also discussing current trends in design research. Within the German-language tradition, considering ‘mathematics education as a design science’ primarily draws on the works of Wittmann. The core of this approach constitutes designing and investigating learning environments that involve substantial mathematics.

Diversity Dimensions in Mathematics and Language Learning

Author: Annemarie Fritz

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2021-06-08

Total Pages: 360

ISBN-13: 3110662760

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Extensive research is available on language acquisition and the acquisition of mathematical skills in early childhood. But more recently, research has turned to the question of the influence of specific language aspects on acquisition of mathematical skills. This anthology combines current findings and theories from various disciplines such as (neuro-)psychology, linguistics, didactics and anthropology.

Proceedings of the 13th International Congress on Mathematical Education

Author: Gabriele Kaiser

Publisher: Springer

Published: 2017-10-31

Total Pages: 766

ISBN-13: 3319625977

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This book is open access under a CC BY 4.0 license. The book presents the Proceedings of the 13th International Congress on Mathematical Education (ICME-13) and is based on the presentations given at the 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 brought together about 3.500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. Directly before the congress activities were offered for 450 Early Career Researchers. The proceedings give a comprehensive overview on the current state-of-the-art of the discussions on mathematics education and display the breadth and deepness of current research on mathematical teaching-and-learning processes. The book introduces the major activities of ICME-13, namely articles from the four plenary lecturers and two plenary panels, articles from the five ICMI awardees, reports from six national presentations, three reports from the thematic afternoon devoted to specific features of ICME-13. Furthermore, the proceedings contain descriptions of the 54 Topic Study Groups, which formed the heart of the congress and reports from 29 Discussion Groups and 31 Workshops. The additional important activities of ICME-13, namely papers from the invited lecturers, will be presented in the second volume of the proceedings.

Design Science and Its Importance in the German Mathematics Educational Discussion

Author: Marcus Nührenbörger

Publisher: Springer

Published: 2016-08-03

Total Pages: 43

ISBN-13: 9783319435411

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Design Science and Its Importance in the German Mathematics Educational Discussion

Author: Erich Christian Wittmann

Publisher:

Published: 2020-10-08

Total Pages: 48

ISBN-13: 9781013267482

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This ICME-13 Topical Survey reviews the state-of-the-art by first exploring the roots and scope of design science. Second, it presents two examples of current design science projects that focus on substantial learning environments including a student and a teacher perspective. Subsequently, the book elaborates on how empirical research can be conceptualised within design science. Lastly, it explores developments in design science from a national and international perspective, while also discussing current trends in design research. Within the German-language tradition, considering 'mathematics education as a design science' primarily draws on the works of Wittmann. The core of this approach constitutes designing and investigating learning environments that involve substantial mathematics. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.

Teachers Talking about their Classrooms

Author: Carmel Mesiti

Publisher: Taylor & Francis

Published: 2021-07-15

Total Pages: 375

ISBN-13: 1000369773

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Different communities, speaking different languages, employ different naming systems to describe the events, actions, and interactions of the mathematics classroom. The International Classroom Lexicon Project documented the professional vocabulary available to middle-school mathematics teachers in Australia, Chile, China, the Czech Republic, Finland, France, Germany, Japan, Korea, and the United States. National teams of researchers and experienced teachers used a common set of classroom videos to stimulate recognition of familiar terms describing aspects of the mathematics classroom. This book details the existing professional vocabulary in each international community by which mathematics teachers conceptualise their practice, and explores the characteristics, structures, and distinctive features of each national lexicon. This book has the potential to enrich the professional vocabulary of mathematics teachers around the world by providing access to sophisticated classroom practices named by teachers in different countries. This one volume offers separate, individual lexicons developed from empirical research, the capacity to juxtapose such lexicons, and an unmatched opportunity to highlight the cultural, historical, and linguistic bases of teachers' professional language.