Didactical Phenomenology Of Mathematical Structures

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Didactical Phenomenology Of Mathematical Structures

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Author : Hans Freudenthal
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-11-28

Didactical Phenomenology Of Mathematical Structures written by Hans Freudenthal and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-28 with Education categories.

The launch ofa new book series is always a challenging eventn ot only for the Editorial Board and the Publisher, but also, and more particularly, for the first author. Both the Editorial Board and the Publisher are delightedt hat the first author in this series isw ell able to meet the challenge. Professor Freudenthal needs no introduction toanyone in the Mathematics Education field and it is particularly fitting that his book should be the first in this new series because it was in 1968 that he, and Reidel, produced the first issue oft he journal Edu cational Studies in Mathematics. Breakingfresh ground is therefore nothing new to Professor Freudenthal and this book illustrates well his pleasure at such a task. To be strictly correct the ‘ground’ which he has broken here is not new, but aswith Mathematics as an Educational Task and Weeding and Sowing, it is rather the novelty oft he manner in which he has carried out his analysis which provides us with so many fresh perspectives. It is our intention that this new book series should provide those who work int he emerging discipline of mathematicseducation with an essential resource, and at a time of considerable concern about the whole mathematics cu rriculum this book represents just such resource. ALAN J. BISHOP Managing Editor vii A LOOK BACKWARD AND A LOOK FORWARD Men die, systems last.

Didactical Phenomenology Of Mathematical Structures

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Author : Hans Freudenthal
language : en
Publisher: Springer Science & Business Media
Release Date : 1986-11-30

Didactical Phenomenology Of Mathematical Structures written by Hans Freudenthal and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-11-30 with Education categories.

The launch ofa new book series is always a challenging eventn ot only for the Editorial Board and the Publisher, but also, and more particularly, for the first author. Both the Editorial Board and the Publisher are delightedt hat the first author in this series isw ell able to meet the challenge. Professor Freudenthal needs no introduction toanyone in the Mathematics Education field and it is particularly fitting that his book should be the first in this new series because it was in 1968 that he, and Reidel, produced the first issue oft he journal Edu cational Studies in Mathematics. Breakingfresh ground is therefore nothing new to Professor Freudenthal and this book illustrates well his pleasure at such a task. To be strictly correct the ‘ground’ which he has broken here is not new, but aswith Mathematics as an Educational Task and Weeding and Sowing, it is rather the novelty oft he manner in which he has carried out his analysis which provides us with so many fresh perspectives. It is our intention that this new book series should provide those who work int he emerging discipline of mathematicseducation with an essential resource, and at a time of considerable concern about the whole mathematics cu rriculum this book represents just such resource. ALAN J. BISHOP Managing Editor vii A LOOK BACKWARD AND A LOOK FORWARD Men die, systems last.

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Author :
language : en
Publisher: IAP
Release Date :

written by and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

International Reflections On The Netherlands Didactics Of Mathematics

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Author : Marja van den Heuvel-Panhuizen
language : en
Publisher: Springer
Release Date : 2019-08-13

International Reflections On The Netherlands Didactics Of Mathematics written by Marja van den Heuvel-Panhuizen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-13 with Education categories.

This open access book, inspired by the ICME 13 Thematic Afternoon on “European Didactic Traditions”, takes readers on a journey with mathematics education researchers, developers and educators in eighteen countries, who reflect on their experiences with Realistic Mathematics Education (RME), the domain-specific instruction theory for mathematics education developed in the Netherlands since the late 1960s. Authors from outside the Netherlands discuss what aspects of RME appeal to them, their criticisms of RME and their past and current RME-based projects. It is clear that a particular approach to mathematics education cannot simply be transplanted to another country. As such, in eighteen chapters the authors describe how they have adapted RME to their individual circumstances and view on mathematics education, and tell their personal stories about how RME has influenced their thinking on mathematics education.

Revisiting Mathematics Education

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Author : Hans Freudenthal
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-08

Revisiting Mathematics Education written by Hans Freudenthal and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-08 with Education categories.

This book is a product of love and respect. If that sounds rather odd I initially apologise, but let me explain why I use those words. The original manuscript was of course Freudenthal’s, but his colleagues have carried the project through to its conclusion with love for the man, and his ideas, and with a respect developed over years of communal effort. Their invitation to me to write this Preface e- bles me to pay my respects to the great man, although I am probably incurring his wrath for writing a Preface for his book without his permission! I just hope he understands the feelings of all colleagues engaged in this particular project. Hans Freudenthal died on October 13th, 1990 when this book project was well in hand. In fact he wrote to me in April 1988, saying “I am thinking about a new book. I have got the sub-title (China Lectures) though I still lack a title”. I was astonished. He had retired in 1975, but of course he kept working. Then in 1985 we had been helping him celebrate his 80th birthday, and although I said in an Editorial Statement in Educational Studies in Mathematics (ESM) at the time “we look forward to him enjoying many more years of non-retirement” I did not expect to see another lengthy manuscript.

National Reflections On The Netherlands Didactics Of Mathematics

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Author : Marja Van den Heuvel-Panhuizen
language : en
Publisher: Springer Nature
Release Date : 2020-01-06

National Reflections On The Netherlands Didactics Of Mathematics written by Marja Van den Heuvel-Panhuizen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-06 with Education categories.

This open access book, inspired by the ICME 13 Thematic Afternoon on “European Didactic Traditions”, consists of 17 chapters, in which educators from the Netherlands reflect on the teaching and learning of mathematics in their country and the role of the Dutch domain-specific instruction theory of Realistic Mathematics Education. Written by mathematics teachers, mathematics teacher educators, school advisors, and developers and researchers in the field of instructional material, textbooks, and examinations, the book offers a multitude of perspectives on important issues in Dutch mathematics education, both at primary and secondary school levels. Topics addressed include the theoretical underpinnings of the Dutch approach, the subject of mathematics in the Dutch educational system, teacher education and testing, the history of mathematics education and the use of history in teaching of mathematics, changes over time in subject matter domains and in the use of technology, and the process of innovation and how the Dutch and in particular one Dutch institute have worked on the reform.

Everyday Matters In Science And Mathematics

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Author : Ricardo Nemirovsky
language : en
Publisher: Routledge
Release Date : 2004-12-13

Everyday Matters In Science And Mathematics written by Ricardo Nemirovsky and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-12-13 with Education categories.

This book re-examines the dichotomy between the everyday and the disciplinary in mathematics and science education, and explores alternatives to this opposition from points of view grounded in the close examination of complex classroom events. It makes the case that students' everyday experience and knowledge in their entire manifold forms matter crucially in learning sciences and mathematics. The contributions of 13 research teams are organized around three themes: 1) the experiences of students in encounters with everyday matters of a discipline; 2) the concerns of curriculum designers, including teachers, as they design activities intended to focus on everyday matters of a discipline; and 3) the actions of teachers as they create classroom encounters with everyday matters of a discipline. As a whole the volume reflects the shift in the field of educational research in recent years away from formal, structural models of learning toward emphasizing its situated nature and the sociocultural bases of teaching and learning. At least two trends--increasing awareness that formal theories can be useful guides but are always partial and provisional in how they disclose classroom experiences, and the widespread availability of video and audio equipment that enables effortless recording of classroom interactions--have reoriented the field by allowing researchers and teachers to look at learning starting with complex classroom events rather than formal theories of learning. Such examinations are not meant to replace the work on general theoretical frameworks, but to ground them in actual complex events. This reorientation means that researchers and teachers can now encounter the complexity of learning and teaching as lived, human meaning-making experiences. Immersion in this complexity compels rethinking assumptions about the dichotomies that have traditionally organized the field's thinking about learning. Further, it has important implications for how the relationship between theory and practice in understanding teaching and learning is viewed. Everyday Matters in Science and Mathematics: Studies of Complex Classroom Events is an important resource for researchers, teacher educators, and graduate students in mathematics and science education, and a strong supplemental text for courses in these areas and also in cognition and instruction and instructional design.

Didactics Of Mathematics As A Scientific Discipline

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Author : Rolf Biehler
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-11

Didactics Of Mathematics As A Scientific Discipline written by Rolf Biehler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-11 with Education categories.

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.

Proceedings Of The Ninth International Congress On Mathematical Education

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Author : Hiroshi Fujita
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-08

Proceedings Of The Ninth International Congress On Mathematical Education written by Hiroshi Fujita and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-08 with Mathematics categories.

Mathematics as a discipline has a long history, emerging from many cultures, with a truly universal character. Mathematicians throughout the world have a fundamentally common understanding of the nature of mathematics and of its central problems and methods. Research mathematicians in any part of the world are part of a cohesive intellectual community that communicates fluently. Among organizations devoted to mathematics education, The International Commission on Mathematical Instruction (ICMI) is distinctive because of its close ties to the mathematics community. The great challenges now facing mathematics education around the world demand a deeper and more sensitive involvement of disciplinary mathematicians than we now have, both in the work of educational improvements and in research on the nature of teaching and learning.

Connecting Mathematics And Mathematics Education

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Author : Erich Christian Wittmann
language : en
Publisher: Springer Nature
Release Date : 2020-12-09

Connecting Mathematics And Mathematics Education written by Erich Christian Wittmann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-09 with Education categories.

This open access book features a selection of articles written by Erich Ch. Wittmann between 1984 to 2019, which shows how the “design science conception” has been continuously developed over a number of decades. The articles not only describe this conception in general terms, but also demonstrate various substantial learning environments that serve as typical examples. In terms of teacher education, the book provides clear information on how to combine (well-understood) mathematics and methods courses to benefit of teachers. The role of mathematics in mathematics education is often explicitly and implicitly reduced to the delivery of subject matter that then has to be selected and made palpable for students using methods imported from psychology, sociology, educational research and related disciplines. While these fields have made significant contributions to mathematics education in recent decades, it cannot be ignored that mathematics itself, if well understood, provides essential knowledge for teaching mathematics beyond the pure delivery of subject matter. For this purpose, mathematics has to be conceived of as an organism that is deeply rooted in elementary operations of the human mind, which can be seamlessly developed to higher and higher levels so that the full richness of problems of various degrees of difficulty, and different means of representation, problem-solving strategies, and forms of proof can be used in ways that are appropriate for the respective level. This view of mathematics is essential for designing learning environments and curricula, for conducting empirical studies on truly mathematical processes and also for implementing the findings of mathematics education in teacher education, where it is crucial to take systemic constraints into account.