Encyclopedia of Mathematics Education
Encyclopedia of Mathematics Education

Author: Stephen Lerman

Publisher: Springer

Published: 2020-02-07

Total Pages: 916

ISBN-13: 9783030157883

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The Encyclopedia of Mathematics Education is a comprehensive reference text, covering every topic in the field with entries ranging from short descriptions to much longer pieces where the topic warrants more elaboration. The entries provide access to theories and to research in the area and refer to the leading publications for further reading. The Encyclopedia is aimed at graduate students, researchers, curriculum developers, policy makers, and others with interests in the field of mathematics education. It is planned to be 700 pages in length in its hard copy form but the text will subsequently be up-dated and developed on-line in a way that retains the integrity of the ideas, the responsibility for which will be in the hands of the Editor-in-Chief and the Editorial Board. This second edition will include additional entries on: new ideas in the politics of mathematics education, working with minority students, mathematics and art, other cross-disciplinary studies, studies in emotions and mathematics, new frameworks for analysis of mathematics classrooms, and using simulations in mathematics teacher education. Existing entries will be revised and new entries written. Members of the international mathematics education research community will be invited to propose new entries. Editorial Board: Bharath Sriraman Melony Graven Yoshinori Shimizu Ruhama Even Michele Artigue Eva Jablonka Wish to Become an Author? Springer's Encyclopedia of Mathematics Education's first edition was published in 2014. The Encyclopedia is a "living" project and will continue to accept articles online as part of an eventual second edition. Articles will be peer-reviewed in a timely manner and, if found acceptable, will be immediately published online. Suggested articles are, of course, welcome. Feel encouraged to think about additional topics that we overlooked the first time around, and to suggest colleagues (including yourself!) who will want to write them. Interested new authors should contact the editor in chief, Stephen Lerman, at [email protected], for more specific instructions.

Relational Mathematics
Relational Mathematics

Author: Gunther Schmidt

Publisher: Cambridge University Press

Published: 2011

Total Pages: 582

ISBN-13: 0521762685

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Relational mathematics is to operations research and informatics what numerical mathematics is to engineering: it is intended to help modelling, reasoning, and computing. Its applications are therefore diverse, ranging from psychology, linguistics, decision aid, and ranking to machine learning and spatial reasoning. Although many developments have been made in recent years, they have rarely been shared amongst this broad community of researchers. This comprehensive 2010 overview begins with an easy introduction to the topic, assuming a minimum of prerequisites; but it is nevertheless theoretically sound and up to date. It is suitable for applied scientists, explaining all the necessary mathematics from scratch using a multitude of visualised examples, via matrices and graphs. It ends with tangible results on the research level. The author illustrates the theory and demonstrates practical tasks in operations research, social sciences and the humanities.

Encyclopedia of Teacher Education
Encyclopedia of Teacher Education

Author: Michael A. Peters

Publisher: Springer Nature

Published: 2022-08-26

Total Pages: 2238

ISBN-13: 9811686793

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This encyclopaedia is a dynamic and living reference that student teachers, teacher educators, researchers and professionals in the field of education with an accent on all aspects of teacher education, including: teaching practice; initial teacher education; teacher induction; teacher development; professional learning; teacher education policies; quality assurance; professional knowledge, standards and organisations; teacher ethics; and research on teacher education, among other issues. The Encyclopedia is an authoritative work by a collective of leading world scholars representing different cultures and traditions, the global policy convergence and counter-practices relating to the teacher education profession. The accent will be equally on teaching practice and practitioner knowledge, skills and understanding as well as current research, models and approaches to teacher education.

Critical Mathematics Education
Critical Mathematics Education

Author: Paul Ernest

Publisher: IAP

Published: 2016-01-01

Total Pages: 361

ISBN-13: 1681232618

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Mathematics is traditionally seen as the most neutral of disciplines, the furthest removed from the arguments and controversy of politics and social life. However, critical mathematics challenges these assumptions and actively attacks the idea that mathematics is pure, objective, and value?neutral. It argues that history, society, and politics have shaped mathematics—not only through its applications and uses but also through molding its concepts, methods, and even mathematical truth and proof, the very means of establishing truth. Critical mathematics education also attacks the neutrality of the teaching and learning of mathematics, showing how these are value?laden activities indissolubly linked to social and political life. Instead, it argues that the values of openness, dialogicality, criticality towards received opinion, empowerment of the learner, and social/political engagement and citizenship are necessary dimensions of the teaching and learning of mathematics, if it is to contribute towards democracy and social justice. This book draws together critical theoretic contributions on mathematics and mathematics education from leading researchers in the field. Recurring themes include: The natures of mathematics and critical mathematics education, issues of epistemology and ethics; Ideology, the hegemony of mathematics, ethnomathematics, and real?life education; Capitalism, globalization, politics, social class, habitus, citizenship and equity. The book demonstrates the links between these themes and the discipline of mathematics, and its critical teaching and learning. The outcome is a groundbreaking collection unified by a shared concern with critical perspectives of mathematics and education, and of the ways they impact on practice.

Encyclopedia of Mathematics
Encyclopedia of Mathematics

Author: James Tanton

Publisher: Infobase Publishing

Published: 2014-05-14

Total Pages: 577

ISBN-13: 1438110081

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Encyclopedia of Mathematics is a comprehensive one-volume encyclopedia designed for high school through early college students. More than 1,000 entries, numerous essays, and more than 125 photographs and illustrations cover the principal areas and issues that characterize this "new" area of science. This valuable resource unites disparate ideas and provides the meaning, history, context, and relevance behind each one. The easy-to-use format makes finding straightforward and natural answers to questions within arithmetic simple. Encyclopedia of Mathematics also gives historical context to mathematical concepts, with entries discussing ancient Arabic, Babylonian, Chinese, Egyptian, Greek, Hindu, and Mayan mathematics, as well as entries providing biographical descriptions of important people in the development of mathematics.

Representations and Invariants of the Classical Groups
Representations and Invariants of the Classical Groups

Author: Roe Goodman

Publisher: Cambridge University Press

Published: 2000-01-13

Total Pages: 708

ISBN-13: 9780521663489

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More than half a century has passed since Weyl's 'The Classical Groups' gave a unified picture of invariant theory. This book presents an updated version of this theory together with many of the important recent developments. As a text for those new to the area, this book provides an introduction to the structure and finite-dimensional representation theory of the complex classical groups that requires only an abstract algebra course as a prerequisite. The more advanced reader will find an introduction to the structure and representations of complex reductive algebraic groups and their compact real forms. This book will also serve as a reference for the main results on tensor and polynomial invariants and the finite-dimensional representation theory of the classical groups. It will appeal to researchers in mathematics, statistics, physics and chemistry whose work involves symmetry groups, representation theory, invariant theory and algebraic group theory.

Encyclopedia of Diversity in Education
Encyclopedia of Diversity in Education

Author: James A. Banks

Publisher: SAGE

Published: 2012-05-24

Total Pages: 2601

ISBN-13: 1412981522

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Presents research and statistics, case studies and best practices, policies and programs at pre- and post-secondary levels. Prebub price $535.00 valid to 21.07.12, then $595.00.

Encyclopedia of Education Economics and Finance
Encyclopedia of Education Economics and Finance

Author: Dominic J. Brewer

Publisher: SAGE Publications

Published: 2014-08-25

Total Pages: 2250

ISBN-13: 1483359832

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Economics can be a lens for understanding the behavior of schools, districts, states, and nations in meeting education needs of their populaces, as well as for understanding the individual decisions made by administrators, teachers, and students. Insights from economics help decision makers at the state level understand how to raise and distribute funds for public schools in an equitable manner for both schools and taxpayers. Economics also can assist researchers in analyzing effects of school spending and teacher compensation on student outcomes. And economics can provide important insights into public debates on issues such as whether to offer vouchers for subsidizing student attendance at private schools. This two-volume encyclopedia contains over 300 entries by experts in the field that cover these issues and more. Features: This work of 2 volumes (in both print and electronic formats) contains 300-350 signed entries by significant figures in the field. Entries conclude with cross-references and suggestions for further readings to guide students to in-depth resources. Although organized in A-to-Z fashion, a thematic “Reader’s Guide” in the front matter groups related entries by topic. Also in the front matter, a chronology provides students with historical perspective on the development of education economics and finance as a field of study The entire work concludes with a Resources appendix and a comprehensive Index. In the electronic version, the index, Reader's Guide, and cross references combine to provide effective search-and-browse capabilities.