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Exploring Investigating And Discovering In Mathematics


Exploring Investigating And Discovering In Mathematics
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Exploring Investigating And Discovering In Mathematics


Exploring Investigating And Discovering In Mathematics
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Author : Vasile Berinde
language : en
Publisher: Birkhauser
Release Date : 2004

Exploring Investigating And Discovering In Mathematics written by Vasile Berinde and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Education categories.




Exploring Investigating And Discovering In Mathematics


Exploring Investigating And Discovering In Mathematics
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Author : Vasile Berinde
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Exploring Investigating And Discovering In Mathematics written by Vasile Berinde and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


We present here the English version of the Romanian first edition (V. Berinde: Ex plorare, investigare si descoperire in matematica, Editura Efemeride, Baia Mare, 2001). There are no major changes. Only a few printing errors were corrected. When transcribing Romanian names or denominations we did not use the diacrit ical marks. Our purpose is to provide an introduction to creative problem solving tech niques with particular emphasis on how to develop inventive skills in students. We present an array of 24 carefully selected themes that range over all the main chapters in elementary mathematics: arithmetic, algebra, geometry, analysis as well as applied mathematics. Main goal is to offer a systematic illustration of how to organize the natural transition from problem solving activity toward exploring, investigating and discovering new facts and results. The book is addressed mainly to students, young mathematicians, and teach ers, involved or/and actively working in mathematics competitions and training gifted people. It collects many valuable techniques for solving various classes of difficult problems and, simultaneously, offers a comprehensive introduction to cre ating new problems. The book should also be of interest to anybody who is in any way connected to mathematics or interested in the creative process and in mathematics as an art.



Investigating Mathematics Teaching


Investigating Mathematics Teaching
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Author : Barbara Jaworski
language : en
Publisher: Routledge
Release Date : 2002-11-01

Investigating Mathematics Teaching written by Barbara Jaworski and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-01 with Education categories.


Barbara Jaworski addresses a number of questions that are central to research on reform in mathematics education today. In this volume she attempts to chart critically yet honestly her own developing ideas as she undertakes a several-year-long enquiry into mathematics teaching and gives a very personal account of her developing conceptions, conjectures, thoughts and reflections. The author accounts for her research both genetically and biographically, simultaneously restructuring the development of her ideas and giving a rigorous, critical and reflective account.



Proceedings Of Iac In Vienna 2017


Proceedings Of Iac In Vienna 2017
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Author : collective of authors
language : en
Publisher: Czech Institute of Academic Education
Release Date : 2017-11-20

Proceedings Of Iac In Vienna 2017 written by collective of authors and has been published by Czech Institute of Academic Education this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-20 with Business & Economics categories.


International Academic Conference on Global Education, Teaching and Learning and International Academic Conference on Management, Economics, Business and Marketing and International Academic Conference on Transport, Logistics, Tourism and Sport Science. Vienna, Austria 2017 (IAC-GETL + IAC-MEBM 2017 + IAC-TLTS 2017), November 24 - 25, 2017.



Rediscovering Mathematics


Rediscovering Mathematics
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Author : Shai Simonson
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-07-30

Rediscovering Mathematics written by Shai Simonson and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-30 with Education categories.


Rediscovering Mathematics is aimed at a general audience and addresses the question of how best to teach and study mathematics. The book attempts to bring the exciting and dynamic world of mathematics to a non-technical audience. With so much focus today on how best to educate the new generation and make mathematics less rote and more interactive, this book is an eye-opening experience for many people who suffered with dull math teachers and curricula. Rediscovering Mathematics is an eclectic collection of mathematical topics and puzzles aimed at talented youngsters and inquisitive adults who want to expand their view of mathematics. By focusing on problem solving, and discouraging rote memorization, the book shows how to learn and teach mathematics through investigation, experimentation, and discovery. Rediscovering Mathematics is also an excellent text for training math teachers at all levels. Topics range in difficulty and cover a wide range of historical periods, with some examples demonstrating how to uncover mathematics in everyday life, including: number theory and its application to secure communication over the Internet, the algebraic and combinatorial work of a medieval mathematician Rabbi, and applications of probability to sports, casinos, and gambling. Rediscovering Mathematics provides a fresh view of mathematics for those who already like the subject, and offers a second chance for those who think they don't.



Discovering Mathematics


Discovering Mathematics
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Author : A. Gardiner
language : en
Publisher: Courier Corporation
Release Date : 2006-01-26

Discovering Mathematics written by A. Gardiner and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-26 with Mathematics categories.


The term "mathematics" usually suggests an array of familiar problems with solutions derived from well-known techniques. Discovering Mathematics: The Art of Investigation takes a different approach, exploring how new ideas and chance observations can be pursued, and focusing on how the process invariably leads to interesting questions that would never have otherwise arisen. With puzzles involving coins, postage stamps, and other commonplace items, students are challenged to account for the simple explanations behind perplexing mathematical phenomena. Elementary methods and solutions allow readers to concentrate on the way in which the material is explored, as well as on strategies for answers that aren't immediately obvious. The problems don't require the kind of sophistication that would put them out of reach of ordinary students, but they're sufficiently complex to capture the essential features of mathematical discovery. Complete solutions appear at the end.



Fixed Point Theory And Graph Theory


Fixed Point Theory And Graph Theory
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Author : Monther Alfuraidan
language : en
Publisher: Academic Press
Release Date : 2016-06-20

Fixed Point Theory And Graph Theory written by Monther Alfuraidan and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-20 with Mathematics categories.


Fixed Point Theory and Graph Theory provides an intersection between the theories of fixed point theorems that give the conditions under which maps (single or multivalued) have solutions and graph theory which uses mathematical structures to illustrate the relationship between ordered pairs of objects in terms of their vertices and directed edges. This edited reference work is perhaps the first to provide a link between the two theories, describing not only their foundational aspects, but also the most recent advances and the fascinating intersection of the domains. The authors provide solution methods for fixed points in different settings, with two chapters devoted to the solutions method for critically important non-linear problems in engineering, namely, variational inequalities, fixed point, split feasibility, and hierarchical variational inequality problems. The last two chapters are devoted to integrating fixed point theory in spaces with the graph and the use of retractions in the fixed point theory for ordered sets. - Introduces both metric fixed point and graph theory in terms of their disparate foundations and common application environments - Provides a unique integration of otherwise disparate domains that aids both students seeking to understand either area and researchers interested in establishing an integrated research approach - Emphasizes solution methods for fixed points in non-linear problems such as variational inequalities, split feasibility, and hierarchical variational inequality problems that is particularly appropriate for engineering and core science applications



Scalar Vector And Matrix Mathematics


Scalar Vector And Matrix Mathematics
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Author : Dennis S. Bernstein
language : en
Publisher: Princeton University Press
Release Date : 2018-02-27

Scalar Vector And Matrix Mathematics written by Dennis S. Bernstein and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-27 with Mathematics categories.


The essential reference book on matrices—now fully updated and expanded, with new material on scalar and vector mathematics Since its initial publication, this book has become the essential reference for users of matrices in all branches of engineering, science, and applied mathematics. In this revised and expanded edition, Dennis Bernstein combines extensive material on scalar and vector mathematics with the latest results in matrix theory to make this the most comprehensive, current, and easy-to-use book on the subject. Each chapter describes relevant theoretical background followed by specialized results. Hundreds of identities, inequalities, and facts are stated clearly and rigorously, with cross-references, citations to the literature, and helpful comments. Beginning with preliminaries on sets, logic, relations, and functions, this unique compendium covers all the major topics in matrix theory, such as transformations and decompositions, polynomial matrices, generalized inverses, and norms. Additional topics include graphs, groups, convex functions, polynomials, and linear systems. The book also features a wealth of new material on scalar inequalities, geometry, combinatorics, series, integrals, and more. Now more comprehensive than ever, Scalar, Vector, and Matrix Mathematics includes a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index. Fully updated and expanded with new material on scalar and vector mathematics Covers the latest results in matrix theory Provides a list of symbols and a summary of conventions for easy and precise use Includes an extensive bibliography with back-referencing plus an author index



The Language Of Mathematics Education


The Language Of Mathematics Education
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Author : Shannon W. Dingman
language : en
Publisher: BRILL
Release Date : 2019-08-26

The Language Of Mathematics Education written by Shannon W. Dingman and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-26 with Education categories.


The Language of Mathematics Education: An Expanded Glossary of Key Terms and Concepts in Mathematics Teaching and Learning offers mathematics teachers, mathematics education professionals and students a valuable resource in which common terms are defined and expounded upon in short essay format. The shared vocabulary and terminology relating to mathematics teaching and learning, and used by mathematics educators is an essential component of work conducted in the field. The authors provide an overview of more than 100 terms commonly used in mathematics teaching and learning. Each term is defined and is followed by a short overview of the concept under discussion that includes several bibliographic references the reader can use for further investigation. In addition to terms specific to the domain of mathematics education, select key terms common across all fields of education (e.g., curriculum, epistemology, metacognition) are included. The goal for this book is to serve as a resource for those entering the field as they navigate the language and terminology of mathematics education and as an asset for more established professionals who wish to gain additional insights into these ideas.



Mathematics Education In Singapore


Mathematics Education In Singapore
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Author : Tin Lam Toh
language : en
Publisher: Springer
Release Date : 2019-02-07

Mathematics Education In Singapore written by Tin Lam Toh and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-07 with Education 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.