Author: Hans Niels Jahnke
Publisher: Springer
ISBN: 3030110699
Category : Education
Languages : en
Pages : 283
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Book Description
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.
Author: Werner Blum
Publisher: Springer
ISBN: 3030055140
Category : Education
Languages : en
Pages : 215
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Book Description
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.
Author: Hans Niels Jahnke
Publisher:
ISBN: 9783030110703
Category : Education
Languages : en
Pages : 278
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Book Description
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.
Author: Hans Niels Jahnke
Publisher: Springer
ISBN: 9783030110680
Category : Education
Languages : en
Pages : 278
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Book Description
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.
Author: Rolf Biehler
Publisher: Springer Science & Business Media
ISBN: 030647204X
Category : Education
Languages : en
Pages : 459
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Book Description
Didactics of Mathematics as a Scientific Discipline describes the state of the art in a new branch of science. Starting from a general perspective on the didactics of mathematics, the 30 original contributions to the book, drawn from 10 different countries, go on to identify certain subdisciplines and suggest an overall structure or `topology' of the field. The book is divided into eight sections: (1) Preparing Mathematics for Students; (2) Teacher Education and Research on Teaching; (3) Interaction in the Classroom; (4) Technology and Mathematics Education; (5) Psychology of Mathematical Thinking; (6) Differential Didactics; (7) History and Epistemology of Mathematics and Mathematics Education; (8) Cultural Framing of Teaching and Learning Mathematics. Didactics of Mathematics as a Scientific Discipline is required reading for all researchers into the didactics of mathematics, and contains surveys and a variety of stimulating reflections which make it extremely useful for mathematics educators and teacher trainers interested in the theory of their practice. Future and practising teachers of mathematics will find much to interest them in relation to their daily work, especially as it relates to the teaching of different age groups and ability ranges. The book is also recommended to researchers in neighbouring disciplines, such as mathematics itself, general education, educational psychology and cognitive science.
Author: Gabriele Kaiser
Publisher: Springer
ISBN: 3319625977
Category : Education
Languages : en
Pages : 735
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Book Description
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.
Author: Carmel Mesiti
Publisher: Taylor & Francis
ISBN: 1000369773
Category : Education
Languages : en
Pages : 375
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Book Description
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.
Author: Ian Westbury
Publisher: Routledge
ISBN: 1136601716
Category : Education
Languages : en
Pages : 342
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Book Description
This volume presents a mix of translations of classical and modern papers from the German Didaktik tradition, newly prepared essays by German scholars and practitioners writing from within the tradition, and interpretive essays by U.S. scholars. It brings this tradition, which virtually dominated German curricular thought and teacher education until the 1960s when American curriculum theory entered Germany--and which is now experiencing a renaissance--to the English-speaking world, where it has been essentially unknown. The intent is to capture in one volume the core (at least) of the tradition of Didaktik and to communicate its potential relevance to English-language curricularists and teacher educators. It introduces a theoretical tradition which, although very different in almost every respect from those we know, offers a set of approaches that suggest ways of thinking about problems of reflection on curricular and teaching praxis (the core focus of the tradition) which the editors believe are accessible to North American readers--with appropriate "translation." These ways of thinking and related praxis are very relevant to notions such as reflective teaching and the discourse on teachers as professionals. By raising the possibility that the "new" tradition of Didaktik can be highly suggestive for thinking through issues related to a number of central ideas within contemporary discourse--and for exploring the implications of these ideas for both teacher education and for a curriculum theory appropriate to these new contexts for theorizing, this book opens up a gold mine of theoretical and practical possibilities.
Author: Alexander Karp
Publisher: Springer Nature
ISBN: 3030952355
Category : Education
Languages : en
Pages : 262
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Book Description
This book is a collection of scholarly studies in the history of mathematics education, very abbreviated versions of which were presented at the ICMI Congress in 2021. The book discusses issues in education in Brazil and Belgium, in Poland and Spain, in Russia and the United States. Probably the main factor that unifies the chapters of the book is their attention to key moments in the formation of the field of mathematics education. Topics discussed in the book include the formation and development of mathematics education for women; the role of the research mathematician in the formation of standards for writing textbooks; the formation of curricula and the most active figures in this formation during the New Math period; the formation of certain distinctive features of curricula in Poland; the formation of the views of David Eugene Smith and the influence of European mathematics education on him; the formation of the American mathematics community; and the creation of such forms of student assessment as entrance exams to higher educational institutions. The book is of interest not only to historians of mathematics education, but also to wide segments of specialists in other areas of mathematics education.
Author: Gilbert Greefrath
Publisher: Springer
ISBN: 3319450042
Category : Education
Languages : en
Pages : 49
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Book Description
This survey provides an overview of the German discussion on modelling and applications in schools. It considers the development from the beginning of the 20th century to the present, and discusses the term “mathematical model” as well as different representations of the modelling process as modelling cycles. Different trends in the historical and current debate on applications and modelling can be differentiated as perspectives of modelling. Modelling is now one of the six general mathematical competencies defined in the educational standards for mathematics introduced in Germany in 2003, and there have been several initiatives to implement modelling in schools, as well as a whole range of empirical research projects focusing on teachers or students in modelling processes. As a special kind for implementing modelling into school, modelling weeks and days carried out by various German universities have been established.
