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Author: John Polkinghorne Publisher: OUP Oxford ISBN: 0191621293 Category : Mathematics Languages : en Pages : 326
Book Description
Is mathematics a highly sophisticated intellectual game in which the adepts display their skill by tackling invented problems, or are mathematicians engaged in acts of discovery as they explore an independent realm of mathematical reality? Why does this seemingly abstract discipline provide the key to unlocking the deep secrets of the physical universe? How one answers these questions will significantly influence metaphysical thinking about reality. This book is intended to fill a gap between popular 'wonders of mathematics' books and the technical writings of the philosophers of mathematics. The chapters are written by some of the world's finest mathematicians, mathematical physicists and philosophers of mathematics, each giving their perspective on this fascinating debate. Every chapter is followed by a short response from another member of the author team, reinforcing the main theme and raising further questions. Accessible to anyone interested in what mathematics really means, and useful for mathematicians and philosophers of science at all levels, Meaning in Mathematics offers deep new insights into a subject many people take for granted.
Author: John Polkinghorne Publisher: OUP Oxford ISBN: 0191621293 Category : Mathematics Languages : en Pages : 326
Book Description
Is mathematics a highly sophisticated intellectual game in which the adepts display their skill by tackling invented problems, or are mathematicians engaged in acts of discovery as they explore an independent realm of mathematical reality? Why does this seemingly abstract discipline provide the key to unlocking the deep secrets of the physical universe? How one answers these questions will significantly influence metaphysical thinking about reality. This book is intended to fill a gap between popular 'wonders of mathematics' books and the technical writings of the philosophers of mathematics. The chapters are written by some of the world's finest mathematicians, mathematical physicists and philosophers of mathematics, each giving their perspective on this fascinating debate. Every chapter is followed by a short response from another member of the author team, reinforcing the main theme and raising further questions. Accessible to anyone interested in what mathematics really means, and useful for mathematicians and philosophers of science at all levels, Meaning in Mathematics offers deep new insights into a subject many people take for granted.
Author: Alexander P. Karp Publisher: World Scientific ISBN: 9814277061 Category : Education Languages : en Pages : 398
Book Description
This anthology, consisting of two volumes, is intended to equip background researchers, practitioners and students of international mathematics education with intimate knowledge of mathematics education in Russia. Volume I, entitled The History and Relevance of Russian Mathematics Education, consists of several chapters written by distinguished authorities like Jeremy Kilpatrick and Bruce Vogeli. It examines the history of mathematics education in Russia and its relevance to mathematics education throughout the world. The second volume, entitled Programs and Practices will examine specific Russian programs in mathematics, their impact and methodological innovations. Although Russian mathematics education is highly respected for its achievements and was once very influential internationally, it has never been explored in depth. This publication does just that.
Author: Vodopivec, Jurka Lepi?nik Publisher: IGI Global ISBN: 1522558004 Category : Education Languages : en Pages : 358
Book Description
In addition to the content prescribed by the official curriculum of any given educational establishment, students learn other information and skills outside of the intended and taught information (such as sharing, communication, and conflict-resolution). These learned skills, otherwise unaccounted for in the education process, can be considered as a part of a hidden or unwritten curriculum. Implicit Pedagogy for Optimized Learning in Contemporary Education is a pivotal reference source that provides vital research on the application of assessment methods for the evaluation of indirect and direct educational methods. While highlighting topics such as language development, teacher agency, and learning process, this publication explores hidden curricula as well as the methods of learning outside of the prescribed school curriculum. It is ideally designed for educators, administrators, students, and researchers seeking current research on the effect of hidden curricula on the education process.
Author: Norma Presmeg Publisher: Springer ISBN: 3319313703 Category : Education Languages : en Pages : 45
Book Description
This volume discusses semiotics in mathematics education as an activity with a formal sign system, in which each sign represents something else. Theories presented by Saussure, Peirce, Vygotsky and other writers on semiotics are summarized in their relevance to the teaching and learning of mathematics. The significance of signs for mathematics education lies in their ubiquitous use in every branch of mathematics. Such use involves seeing the general in the particular, a process that is not always clear to learners. Therefore, in several traditional frameworks, semiotics has the potential to serve as a powerful conceptual lens in investigating diverse topics in mathematics education research. Topics that are implicated include (but are not limited to): the birth of signs; embodiment, gestures and artifacts; segmentation and communicative fields; cultural mediation; social semiotics; linguistic theories; chains of signification; semiotic bundles; relationships among various sign systems; intersubjectivity; diagrammatic and inferential reasoning; and semiotics as the focus of innovative learning and teaching materials.
Author: Norma Presmeg Publisher: Springer ISBN: 3319702874 Category : Education Languages : en Pages : 368
Book Description
This book discusses a significant area of mathematics education research in the last two decades and presents the types of semiotic theories that are employed in mathematics education. Following on the summary of significant issues presented in the Topical Survey, Semiotics in Mathematics Education, this book not only introduces readers to semiotics as the science of signs, but it also elaborates on issues that were highlighted in the Topical Survey. In addition to an introduction and a closing chapter, it presents 17 chapters based on presentations from Topic Study Group 54 at the ICME-13 (13th International Congress on Mathematical Education). The chapters are divided into four major sections, each of which has a distinct focus. After a brief introduction, each section starts with a chapter or chapters of a theoretical nature, followed by others that highlight the significance and usefulness of the relevant theory in empirical research.
Author: Paul Lockhart Publisher: Bellevue Literary Press ISBN: 1934137332 Category : Mathematics Languages : en Pages : 144
Book Description
“One of the best critiques of current mathematics education I have ever seen.”—Keith Devlin, math columnist on NPR’s Morning Edition A brilliant research mathematician who has devoted his career to teaching kids reveals math to be creative and beautiful and rejects standard anxiety-producing teaching methods. Witty and accessible, Paul Lockhart’s controversial approach will provoke spirited debate among educators and parents alike and it will alter the way we think about math forever. Paul Lockhart, has taught mathematics at Brown University and UC Santa Cruz. Since 2000, he has dedicated himself to K-12 level students at St. Ann’s School in Brooklyn, New York.
Author: Richard Courant Publisher: ISBN: 9780195105193 Category : Juvenile Nonfiction Languages : en Pages : 596
Book Description
The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but not real understanding or greater intellectual independence. The new edition of this classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. "Lucid . . . easily understandable".--Albert Einstein. 301 linecuts.
Author: Fulvia Furinghetti Publisher: Springer ISBN: 3319682946 Category : Education Languages : en Pages : 323
Book Description
This book offers insights into the history of mathematics education, covering both the current state of the art of research and the methodology of the field. History of mathematics education is treated in the book as a part of social history. This book grew out of the presentations delivered at the International Congress on Mathematics Education in Hamburg. Modern development and growing internationalization of mathematics education made it clear that many urgent questions benefit from a historical approach. The chapters present viewpoints from the following countries: Belgium, Brazil, Cambodia, China, Cyprus, Germany, Iceland, Italy, the Netherlands, Russia,Spain and Sweden. Each chapter represents significant directions of historical studies. The book is a valuable source for every historian of mathematics education and those interested in mathematics education and its development.
Author: John Polkinghorne
Author: John Polkinghorne
Author: Alexander P. Karp
Author: Vodopivec, Jurka Lepi?nik
Author: Norma Presmeg
Author: Lancelot Thomas Hogben
Author: Norma Presmeg
Author: Paul Lockhart
Author: Richard Courant
Author: Fulvia Furinghetti
Author: Matematicheskiĭ institut im. V.A. Steklova