Conception And Characteristics Of Expert Mathematics Teachers In China

Author: Xinrong Yang
Publisher: Springer Science & Business Media
ISBN: 3658030976
Size: 61.29 MB
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The superior performance of East Asian students in recent international studies of mathematics achievement has attracted the attention of educators and policy makers worldwide. Xinrong Yang focuses on exploring how an expert mathematics teacher is conceptualized by mathematics educators in China and the characteristics that expert mathematics teachers share. The author adopts a sociocultural theory and a prototypical view of conception in this study of teacher expertise and shows that some of the roles expected to be played by expert mathematics teachers in China, such as being at the same time a researcher, a mentor, an expert in examination, and an exemplary model, are quite different from the roles expected of an expert teacher in Western cultures. In addition, some characteristics of expert mathematics teachers the author identifies are different from those reported in previous studies. Examples include the expert mathematics teachers ́ contemporary-constructivist oriented beliefs about mathematics and its learning and teaching, and their ability to teach with flexibility, balance, and coherence.​

Didactics Of Mathematics As A Scientific Discipline

Author: Rolf Biehler
Publisher: Springer Science & Business Media
ISBN: 030647204X
Size: 63.79 MB
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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.

Philosophical Dimensions In Mathematics Education

Author: Karen Francois
Publisher: Springer Science & Business Media
ISBN: 0387715754
Size: 42.27 MB
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This book brings together diverse recent developments exploring the philosophy of mathematics in education. The unique combination of ethnomathematics, philosophy, history, education, statistics and mathematics offers a variety of different perspectives from which existing boundaries in mathematics education can be extended. The ten chapters in this book offer a balance between philosophy of and philosophy in mathematics education. Attention is paid to the implementation of a philosophy of mathematics within the mathematics curriculum.

The Proceedings Of The 12th International Congress On Mathematical Education

Author: Sung Je Cho
Publisher: Springer
ISBN: 3319126881
Size: 13.53 MB
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This book comprises the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 3500 experts from 92 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. This work aims to serve as a platform for deeper, more sensitive and more collaborative involvement of all major contributors towards educational improvement and in research on the nature of teaching and learning in mathematics education. It introduces the major activities of ICME-12 which have successfully contributed to the sustainable development of mathematics education across the world. The program provides food for thought and inspiration for practice for everyone with an interest in mathematics education and makes an essential reference for teacher educators, curriculum developers and researchers in mathematics education. The work includes the texts of the four plenary lectures and three plenary panels and reports of three survey groups, five National presentations, the abstracts of fifty one Regular lectures, reports of thirty seven Topic Study Groups and seventeen Discussion Groups.

Teaching And Learning Mathematics Through Variation

Author: Rongjin Huang
Publisher:
ISBN: 9789463007801
Size: 56.71 MB
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Efforts to improve mathematics teaching and learning globally have led to the ever-increasing interest in searching for alternative and effective instructional approaches from others. Students from East Asia, such as China and Japan, have consistently outperformed their counterparts in the West. Yet, Bianshi Teaching (teaching with variation) practice, which has been commonly used in practice in China, has been hardly shared in the mathematics education community internationally. This book is devoted to theorizing the Chinese mathematical teaching practice, Bianshi teaching, that has demonstrated its effectiveness over half a century; examining its systematic use in classroom instruction, textbooks, and teacher professional development in China; and showcasing of the adaptation of the variation pedagogy in selected education systems including Israel, Japan, Sweden and the US. This book has made significant contributions to not only developing the theories on teaching and learning mathematics through variation, but also providing pathways to putting the variation theory into action in an international context. "This book paints a richly detailed and elaborated picture of both teaching mathematics and learning to teach mathematics with variation. Teaching with variation and variation as a theory of learning are brought together to be theorized and exemplified through analysis of teaching in a wide variety of classrooms and targeting both the content and processes of mathematical thinking. Highly recommended." - Kaye Stacey, Emeritus Professor of Mathematics Education, University of Melbourne, Australia "Many teachers in England are excited by the concept of teaching with variation and devising variation exercises to support their pupils' mastery of mathematics. However, fully understanding and becoming proficient in its use takes time. This book provides a valuable resource to deepen understanding through the experiences of other teachers shared within the book and the insightful reflections of those who have researched this important area. - Debbie Morgan, Director for Primary Mathematics, National Centre for Excellence in the Teaching of Mathematics, United Kingdom

The Thinking University

Author: Søren S.E. Bengtsen
Publisher: Springer
ISBN: 3319776673
Size: 67.84 MB
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This book reinvigorates the philosophical treatment of the nature, purpose, and meaning of thought in today’s universities. The wider discussion about higher education has moved from a philosophical discourse to a discourse on social welfare and service, economics, and political agendas. This book reconnects philosophy with the central academic concepts of thought, reason, and critique and their associated academic practices of thinking and reasoning. Thought in this context should not be considered as a merely mental or cognitive construction, still less a cloistered college, but a fully developed individual and social engagement of critical reflection and discussion with the current pressing disciplinary, political, and philosophical issues. The editors hold that the element of thought, and the ability to think in a deep and groundbreaking way is, still, the essence of the university. But what does it mean to think in the university today? And in what ways is thought related not only to the epistemological and ontological issues of philosophical debate, but also to the social and political dimensions of our globalised age? In many countries, the state is imposing limitations on universities, dismissing or threatening academics who speak out critically. With this volume, the editors ask questions such as: What is the value of thought? What is the university’s proper relationship to thought? To give the notion of thought a thorough philosophical treatment, the book is divided into in three parts. The focus moves from an epistemological perspective in Part I, to a focus on existence and values in higher education in Part II, and then to a societal-oriented focus on the university in Part III. All three parts, in their own ways, debate the notion of thought in higher education and the university as a thinking form of being.

Mathematical Knowledge In Teaching

Author: Tim Rowland
Publisher: Springer Science & Business Media
ISBN: 9789048197668
Size: 78.94 MB
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The quality of primary and secondary school mathematics teaching is generally agreed to depend crucially on the subject-related knowledge of the teacher. However, there is increasing recognition that effective teaching calls for distinctive forms of subject-related knowledge and thinking. Thus, established ways of conceptualizing, developing and assessing mathematical knowledge for teaching may be less than adequate. These are important issues for policy and practice because of longstanding difficulties in recruiting teachers who are confident and conventionally well-qualified in mathematics, and because of rising concern that teaching of the subject has not adapted sufficiently. The issues to be examined in Mathematical Knowledge in Teaching are of considerable significance in addressing global aspirations to raise standards of teaching and learning in mathematics by developing more effective approaches to characterizing, assessing and developing mathematical knowledge for teaching.

Mathematische Vor Und Br Ckenkurse

Author: Isabell Bausch
Publisher: Springer-Verlag
ISBN: 3658030658
Size: 78.56 MB
Format: PDF
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Der Tagungsband gibt einen breiten Überblick über Ziele, Kursszenarien und Lehr-Lernkonzepte, Unterstützungsmaßnahmen in der Studieneingangsphase, Möglichkeiten des Assessments und der Diagnostik sowie einen Ausblick zur Zukunft von mathematischen Vor- und Brückenkursen. Zudem werden aktuelle Vor- und Brückenkursprojekte vorgestellt und der aktuelle empirische und theoretisch-konzeptionelle didaktische Forschungsstand in diesem Bereich abgebildet. ​

Teaching English As A Foreign Language

Author: Carola Surkamp
Publisher: Springer
ISBN: 3476044807
Size: 56.47 MB
Format: PDF
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Diese Einführung in englischer Sprache präsentiert in 14 Kapiteln die grundlegenden Themen und Gegenstandsbereiche der Englischdidaktik. Gleichermaßen praxisnah wie theoretisch fundiert, behandelt der Band zentrale Prinzipien und Kompetenzbereiche eines modernen Fremdsprachenunterrichts. Ausgehend von den zentralen Akteur/innen (Lehrende und Lernende) und mit Blick auf die Teilbereiche der Sprach-, Literatur- und Kulturdidaktik werden zudem Vorschläge für den Einsatz unterschiedlicher Materialien und Medien diskutiert. Weitere Kapitel widmen sich den institutionellen Organisationsstrukturen und dem Bereich Assessment/Diagnose. Der Band erscheint in zweifarbiger Gestaltung, mit Definitionen und Beispielen sowie mit zahlreichen Abbildungen. This comprehensive introduction presents the fundamental topics and issues of TEFL (Teaching English as a Foreign Language) in 14 chapters. Integrating both profound theoretical and creative practical considerations, the central principles and competence domains of modern foreign language teaching are discussed. Starting with the main classroom agents (teachers and learners), the chapters outline a variety of content areas (language, literature, cultural issues) and thoroughly review materials, media and methods. Additional chapters are concerned with the historical development of English language teaching, its current institutional organisation as well as assessment and evaluation.

Mathematics Education And Technology Rethinking The Terrain

Author: Celia Hoyles
Publisher: Springer Science & Business Media
ISBN: 9781441901460
Size: 27.44 MB
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Mathematics Education and Technology-Rethinking the Terrain revisits the important 1985 ICMI Study on the influence of computers and informatics on mathematics and its teaching. The focus of this book, resulting from the seventeenth Study led by ICMI, is the use of digital technologies in mathematics teaching and learning in countries across the world. Specifically, it focuses on cultural diversity and how this diversity impinges on the use of digital technologies in mathematics teaching and learning. Within this focus, themes such as mathematics and mathematical practices; learning and assessing mathematics with and through digital technologies; teachers and teaching; design of learning environments and curricula; implementation of curricula and classroom practice; access, equity and socio-cultural issues; and connectivity and virtual networks for learning, serve to organize the study and bring it coherence. Providing a state-of-the-art view of the domain with regards to research, innovating practices and technological development, Mathematics Education and Technology-Rethinking the Terrain is of interest to researchers and all those interested in the role that digital technology plays in mathematics education.