K Lu T Kh Ng N C M T
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Approaches To Algebra
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Author : N. Bednarz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Approaches To Algebra written by N. Bednarz 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 2012-12-06 with Education categories.
In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes cannot be actually numerically calculated, except if those magnitudes are exactly measured by a certain unit. The theory of proportions does not have access to such operations. It cannot be seen as an "arithmetic" of ratios. Even if Euclidean geometry is done in a highly theoretical context, its axioms are essentially semantic. This is contrary to Mahoney's second characteristic. This cannot be said of the theory of proportions, which is less semantic. Only synthetic proofs are considered rigorous in Greek geometry. Arithmetic reasoning is also synthetic, going from the known to the unknown. Finally, analysis is an approach to geometrical problems that has some algebraic characteristics and involves a method for solving problems that is different from the arithmetical approach. 3. GEOMETRIC PROOFS OF ALGEBRAIC RULES Until the second half of the 19th century, Euclid's Elements was considered a model of a mathematical theory. This may be one reason why geometry was used by algebraists as a tool to demonstrate the accuracy of rules otherwise given as numerical algorithms. It may also be that geometry was one way to represent general reasoning without involving specific magnitudes. To go a bit deeper into this, here are three geometric proofs of algebraic rules, the frrst by Al-Khwarizmi, the other two by Cardano.
Commonsense Methods For Children With Special Educational Needs
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Author : Peter Westwood
language : en
Publisher: Routledge
Release Date : 2004-07-31
Commonsense Methods For Children With Special Educational Needs written by Peter Westwood and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-31 with Education categories.
First published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.
Mathematics Education In Singapore
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Author : Tin Lam Toh
language : en
Publisher:
Release Date : 2019
Mathematics Education In Singapore written by Tin Lam Toh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Electronic books categories.
This book provides a one-stop resource for mathematics educators, policy makers and all who are interested in learning more about the why, what and how of mathematics education in Singapore. The content is organized according to three significant and closely interrelated components: the Singapore mathematics curriculum, mathematics teacher education and professional development, and learners in Singapore mathematics classrooms. Written by leading researchers with an intimate understanding of Singapore mathematics education, this up-to-date book reports the latest trends in Singapore mathematics classrooms, including mathematical modelling and problem solving in the real-world context.
Dictionary Of Acronyms And Technical Abbreviations
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Author : Jakob Vlietstra
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Dictionary Of Acronyms And Technical Abbreviations written by Jakob Vlietstra 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 2012-12-06 with Computers categories.
This Dictionary covers information and communication technology (ICT), including hardware and software; information networks, including the Internet and the World Wide Web; automatic control; and ICT-related computer-aided fields. The Dictionary also lists abbreviated names of relevant organizations, conferences, symposia and workshops. This reference is important for all practitioners and users in the areas mentioned above, and those who consult or write technical material. This Second Edition contains 10,000 new entries, for a total of 33,000.
Biology Education For Social And Sustainable Development
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Author : Mijung Kim
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-20
Biology Education For Social And Sustainable Development written by Mijung Kim 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 2012-10-20 with Education categories.
In an era of globalization and urbanization, various social, economic, and environmental challenges surround advances in modern biological sciences. Considering how biological knowledge and practice are intrinsically related to building a sustainable relationship between nature and human society, the roles of biology education need to be rethought to respond to issues and changes to life in this biocentury. This book is a compilation of selected papers from the Twenty Third Biennial Conference of the Asian Association for Biology Education 2010. The title, Biology Education for Social and Sustainable Development, demonstrates how rethinking and reconstruction of biology education in the Asia-Pacific region are increasingly grounded in deep understandings of what counts as valuable local knowledge, practices, culture, and ideologies for national and global issues, and education for sustainable development. The 42 papers by eminent science educators from Australia, China, Philippines, Singapore, Taiwan, and the U.S., represent a diversity of views, understandings, and practices in biology education for sustainable development from school to university in diverse education systems and social-cultural settings in the Asia-Pacific region and beyond. The book is an invaluable resource and essential reference for researchers and educators on Asian perspectives and practices on biology education for social and sustainable development.
Proceedings Of The International Conference On Mathematics Textbook Research And Development Icmt 2014
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Author : Christian Bokhove
language : en
Publisher:
Release Date : 2014
Proceedings Of The International Conference On Mathematics Textbook Research And Development Icmt 2014 written by Christian Bokhove and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Mathematics categories.
ICMT-2014, the International Conference on Mathematics Textbook Research and Development, brought together mathematics educators, textbook researchers and developers, and policy makers from different parts of the world to share their research results, development experiences and reform ideas, and discuss issues and directions concerning mathematics textbook research and development. These proceedings contain all the papers presented at the conference, including the plenary presentations and plenary panel, as well as the symposia, research papers, and workshops. This volume provides a comprehensive record of the ICMT-2014 conference and serves as an essential reference for education researchers, practitioners, and policy makers and curriculum developers interested in mathematics textbook research and development.
The Pythagorean Proposition
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Author : Elisha Scott Loomis
language : en
Publisher:
Release Date : 1927
The Pythagorean Proposition written by Elisha Scott Loomis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1927 with Geometry categories.
Proof And Proving In Mathematics Education
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Author : Gila Hanna
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-06-14
Proof And Proving In Mathematics Education written by Gila Hanna 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 2012-06-14 with Education categories.
*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced. This challenge has been given even greater importance by the assignment to proof of a more prominent place in the mathematics curriculum at all levels. Along with this renewed emphasis, there has been an upsurge in research on the teaching and learning of proof at all grade levels, leading to a re-examination of the role of proof in the curriculum and of its relation to other forms of explanation, illustration and justification. This book, resulting from the 19th ICMI Study, brings together a variety of viewpoints on issues such as: The potential role of reasoning and proof in deepening mathematical understanding in the classroom as it does in mathematical practice. The developmental nature of mathematical reasoning and proof in teaching and learning from the earliest grades. The development of suitable curriculum materials and teacher education programs to support the teaching of proof and proving. The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms.
Professional Development Of Mathematics Teachers
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Author : Berinderjeet Kaur
language : en
Publisher: Springer
Release Date : 2016-11-14
Professional Development Of Mathematics Teachers written by Berinderjeet Kaur and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-14 with Education categories.
This book offers a counterpart to the extensive corpus of literature available on the same topic from a Western perspective. It showcases innovative approaches to professional development of mathematics teachers in Asian countries, and reports on both empirical and expository studies of teachers’ professional development in these counties. It provides scholars from non-English-speaking and under-represented Asian countries the opportunity to engage in discourse with other scholars in the field, and is the first book to present substantial contributions from scholars in Asia on the professional development of mathematics teachers in their respective countries. It includes perspectives that shed valuable light on how the approaches pursued in Asian countries resemble or differ from those in the West.
The Cambridge Handbook Of Cognition And Education
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Author : John Dunlosky
language : en
Publisher: Cambridge University Press
Release Date : 2019-02-07
The Cambridge Handbook Of Cognition And Education written by John Dunlosky and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-07 with Psychology categories.
This Handbook reviews a wealth of research in cognitive and educational psychology that investigates how to enhance learning and instruction to aid students struggling to learn and to advise teachers on how best to support student learning. The Handbook includes features that inform readers about how to improve instruction and student achievement based on scientific evidence across different domains, including science, mathematics, reading and writing. Each chapter supplies a description of the learning goal, a balanced presentation of the current evidence about the efficacy of various approaches to obtaining that learning goal, and a discussion of important future directions for research in this area. It is the ideal resource for researchers continuing their study of this field or for those only now beginning to explore how to improve student achievement.