The Construction Of New Mathematical Knowledge In Classroom Interaction
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The Construction Of New Mathematical Knowledge In Classroom Interaction
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Author : Heinz Steinbring
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-03-22
The Construction Of New Mathematical Knowledge In Classroom Interaction written by Heinz Steinbring 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 2005-03-22 with Education categories.
Mathematics is generally considered as the only science where knowledge is uni form, universal, and free from contradictions. „Mathematics is a social product - a 'net of norms', as Wittgenstein writes. In contrast to other institutions - traffic rules, legal systems or table manners -, which are often internally contradictory and are hardly ever unrestrictedly accepted, mathematics is distinguished by coherence and consensus. Although mathematics is presumably the discipline, which is the most differentiated internally, the corpus of mathematical knowledge constitutes a coher ent whole. The consistency of mathematics cannot be proved, yet, so far, no contra dictions were found that would question the uniformity of mathematics" (Heintz, 2000, p. 11). The coherence of mathematical knowledge is closely related to the kind of pro fessional communication that research mathematicians hold about mathematical knowledge. In an extensive study, Bettina Heintz (Heintz 2000) proposed that the historical development of formal mathematical proof was, in fact, a means of estab lishing a communicable „code of conduct" which helped mathematicians make themselves understood in relation to the truth of mathematical statements in a co ordinated and unequivocal way.
The Construction Of New Mathematical Knowledge In Classroom Interaction
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Author : Heinz Steinbring
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30
The Construction Of New Mathematical Knowledge In Classroom Interaction written by Heinz Steinbring 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 2006-03-30 with Education categories.
Mathematics is generally considered as the only science where knowledge is uni form, universal, and free from contradictions. „Mathematics is a social product - a 'net of norms', as Wittgenstein writes. In contrast to other institutions - traffic rules, legal systems or table manners -, which are often internally contradictory and are hardly ever unrestrictedly accepted, mathematics is distinguished by coherence and consensus. Although mathematics is presumably the discipline, which is the most differentiated internally, the corpus of mathematical knowledge constitutes a coher ent whole. The consistency of mathematics cannot be proved, yet, so far, no contra dictions were found that would question the uniformity of mathematics" (Heintz, 2000, p. 11). The coherence of mathematical knowledge is closely related to the kind of pro fessional communication that research mathematicians hold about mathematical knowledge. In an extensive study, Bettina Heintz (Heintz 2000) proposed that the historical development of formal mathematical proof was, in fact, a means of estab lishing a communicable „code of conduct" which helped mathematicians make themselves understood in relation to the truth of mathematical statements in a co ordinated and unequivocal way.
The Construction Of New Mathematical Knowledge In Classroom Interaction
DOWNLOAD
Author : Heinz Steinbring
language : en
Publisher: Springer
Release Date : 2005-03-22
The Construction Of New Mathematical Knowledge In Classroom Interaction written by Heinz Steinbring and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-03-22 with Education categories.
Mathematics is generally considered as the only science where knowledge is uni form, universal, and free from contradictions. „Mathematics is a social product - a 'net of norms', as Wittgenstein writes. In contrast to other institutions - traffic rules, legal systems or table manners -, which are often internally contradictory and are hardly ever unrestrictedly accepted, mathematics is distinguished by coherence and consensus. Although mathematics is presumably the discipline, which is the most differentiated internally, the corpus of mathematical knowledge constitutes a coher ent whole. The consistency of mathematics cannot be proved, yet, so far, no contra dictions were found that would question the uniformity of mathematics" (Heintz, 2000, p. 11). The coherence of mathematical knowledge is closely related to the kind of pro fessional communication that research mathematicians hold about mathematical knowledge. In an extensive study, Bettina Heintz (Heintz 2000) proposed that the historical development of formal mathematical proof was, in fact, a means of estab lishing a communicable „code of conduct" which helped mathematicians make themselves understood in relation to the truth of mathematical statements in a co ordinated and unequivocal way.
Humans With Media And The Reorganization Of Mathematical Thinking
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Author : Marcelo C. Borba
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-07-25
Humans With Media And The Reorganization Of Mathematical Thinking written by Marcelo C. Borba 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 2005-07-25 with Education categories.
As we enter into the 21"Century, the presence of technology, particularly techno-science, in everyday life is overwhelming. Institutions in the modem world are affected by this presence. Like Janus, the ancient Roman god whose double-faced head signified his knowledge of the present and the future, education has always been a two-faced enterprise. The past establishes goals and methods of Education, and the other face tries to capture the future and suggests and proposes new directions of thought and new styles of behavior for the generation which, in a few years, will take over both routines and societal innovation. History tells us that this face of Education has always been sensitive to emerging technologies. Technologies of communication and information have been particularly influential in new directions of society, in particular of education. The transition from orality to writing marked a new role for the teacher. From the sole repository of accumulated knowledge, the teacher became a guide and interpreter of registered knowledge. The emergence of hardware, in the form of documents and books, initiated a companionship between teacher and hardware. It is also remarkable how the emergence of writing strengthened individual memory, contrary to the concerns of Thamus when Theuth explained to him the discovery of writing. The conservative king was afraid that the new invention would implant forgetfulness in the souls of men.
Mathematics Education In The Digital Age
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Author : Alison Clark-Wilson
language : en
Publisher: Routledge
Release Date : 2021-05-24
Mathematics Education In The Digital Age written by Alison Clark-Wilson and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-24 with Education categories.
The wide availability of digital educational resources for mathematics teaching and learning is indisputable, with some notable genres of technologies having evolved, such as graphing calculators, dynamic graphing, dynamic geometry and data visualization tools. But what does this mean for teachers of mathematics, and how do their roles evolve within this digital landscape? This essential book offers an international perspective to help bridge theory and practice, including coverage of networking theories, curriculum design, task implementation, online resources and assessment. Mathematics Education in the Digital Age details the impacts this digital age has, and will continue to have, on the parallel aspects of learning and teaching mathematics within formal education systems and settings. Written by a group of international authors, the chapters address the following themes: Mathematics teacher education and professional development Mathematics curriculum development and task design The assessment of mathematics Theoretical perspectives and methodologies/approaches for researching mathematics education in the digital age This book highlights not only the complex nature of the field, but also the advancements in theoretical and practical knowledge that is enabling the mathematics education community to continue to learn in this increasingly digital age. It is an essential read for all mathematics teacher educators and master teachers.
Traditions In German Speaking Mathematics Education Research
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Author : Hans Niels Jahnke
language : en
Publisher: Springer
Release Date : 2019-02-13
Traditions In German Speaking Mathematics Education Research written by Hans Niels Jahnke and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-13 with Education categories.
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.
Social Justice Education
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Author : Kathleen Skubikowski
language : en
Publisher: Taylor & Francis
Release Date : 2023-07-14
Social Justice Education written by Kathleen Skubikowski and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-14 with Education categories.
This book addresses the combination of pedagogical, curricular, and institutional commitments necessary to create and sustain diversity on campus. Its premise is that the socially just classroom flourishes in the context of a socially just institution, and it invites faculty and administrators to create such classrooms and institutions.This book grew out of a project – involving deans and directors of teaching centers and diversity offices from six institutions – to instigate discussions among teachers and administrators about implementing socially just practices in their classrooms, departments, and offices. The purpose was to explore how best to foster such conversations across departments and functions within an institution, as well as between institutions. This book presents the theoretical framework used, and many of the successful projects to which it gave rise.Recognizing that many faculty have little preparation for teaching students whose backgrounds, culture, and educational socialization differ from theirs, the opening foundational section asks teachers to attend closely to their and their students’ relative power and positionality in the classroom, and to the impact of the materials, resources and pedagogical approaches employed. Further chapters offer analytical tools to promote inquiry and change.The concluding sections of the book demonstrate how intra- and inter-institutional collaborations inspired teachers to rise to the challenge of their campuses’ commitments to diversity. Among the examples presented is an initiative involving the faculty development coordinator, and faculty from a wide range of domains at DePauw University, who built upon an existing ethics initiative to embed social justice across the curriculum. In another, professors of mathematics from three institutions describe how they collaborated to create socially just classrooms that both serve mathematical learning, and support service learning or community-based learning activities. The final essay by a student from the Maldives, describing how she navigated the chasm between life in an American college and her family circumstances, will reinforce the reader’s commitment to establishing social justice in the academy.This book provides individual faculty, faculty developers and diversity officers with the concepts, reflective tools, and collaborative models, as well as a wealth of examples, to confidently embark on the path to transforming educational practice.
Networking Of Theories As A Research Practice In Mathematics Education
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Author : Angelika Bikner-Ahsbahs
language : en
Publisher: Springer
Release Date : 2014-08-25
Networking Of Theories As A Research Practice In Mathematics Education written by Angelika Bikner-Ahsbahs and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-25 with Education categories.
How can we deal with the diversity of theories in mathematics education? This was the main question that led the authors of this book to found the Networking Theories Group. Starting from the shared assumption that the existence of different theories is a resource for mathematics education research, the authors have explored the possibilities of interactions between theories, such as contrasting, coordinating, and locally integrating them. The book explains and illustrates what it means to network theories; it presents networking as a challenging but fruitful research practice and shows how the Group dealt with this challenge considering five theoretical approaches, namely the approach of Action, Production, and Communication (APC), the Theory of Didactical Situations (TDS), the Anthropological Theory of the Didactic (ATD), the approach of Abstraction in Context (AiC), and the Theory of Interest-Dense Situations (IDS). A synthetic presentation of each theory and their connections shows how the activity of networking generates questions at the theoretical, methodological and practical levels and how the work on these questions leads to both theoretical and practical progress. The core of the book consists of four new networking case studies which illustrate what exactly can be gained by this approach and what kind of difficulties might arise.
Semiotics Education Experience
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Author :
language : en
Publisher: BRILL
Release Date : 2010-01-01
Semiotics Education Experience written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-01 with Education categories.
“Semiotics Education Experience” is a collection of fifteen essays edited by Inna Semetsky that explores semiotic approaches to education: semiotics of teaching, learning, and curriculum; educational theory and philosophies of Dewey, Peirce, and Deleuze; education as political semiosis; logic and mathematics; visual signs; semiotics and complexity; semiotics and ethics of the self. This is a landmark collection of cross-disciplinary chapters by international scholars that mark out the appeal and significance of a semiotic approach to education. As Marcel Danesi reminds us in the Foreword, Vygotsky construed learning theory as the science of signs. Semetsky’'-s collection should be widely read by students and scholars in education, philosophy, futures studies, cultural studies, and related disciplines. It deserves the widest dissemination. Michael A Peters, Professor, University of Illinois at Urbana-Champaign; Editor, Educational Philosophy & Theory and Policy Futures in Education "With her latest collection, Inna Semetsky has once again deftly organized a series of nuanced reflections on semiotics and pedagogical issues that touch upon vital philosophical, political, communicational, visual and interdisciplinary matters of enduring relevance. " Gary Genosko, Editor, The Semiotic Review of Books and Canada Research Chair, Lakehead University.
Opening The Research Text
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Author : Elizabeth de Freitas
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-19
Opening The Research Text written by Elizabeth de Freitas 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 2007-12-19 with Education categories.
In this chapter we interrogate the debate between mathematicians and mathematics educators. This debate is widely recognized in the United States, for instance, where the term ‘math wars’ is often used in reference to the heated disagreements between mathematicians and mathematics edu- tors. Such recognition might suggest that this topic itself has relevance both for the academy and for educational policy pertaining to mathematics edu- tion. We propose to locate this debate, unavoidably, whenever and wherever mathematics education is written. Our aim is to show how the debate itself gives rise to the inscription mathematics education. Indeed, we contend that ‘mathematics education’ cannot be defined outside of, or prior to, the debate, for it is precisely through the debate that it is constituted as a domain for 1 deliberation. The debate is more primordial than any epistémè or domain implied by it. In other words, we argue that mathematics and mathematics education do not exist epistemically prior to the debate. In order to engage this issue we consider a transcription of a panel debate 2 between mathematicians and mathematics educators held in Brazil in 1998 . There is at least a double meaning for the word ‘debate’: it may mean a meeting having a beginning and an end, well-localized in space and time and with a specific proposal or focus, as in the following sentence ‘I am going to see on TV the debate between Bush and Blair tomorrow at 5 pm’.