Author: Jeremy Kilpatrick
Publisher: Springer Science & Business Media
ISBN: 0387240403
Category : Education
Languages : en
Pages : 267
Book Description
What does it mean to know mathematics? How does meaning in mathematics education connect to common sense or to the meaning of mathematics itself? How are meanings constructed and communicated and what are the dilemmas related to these processes? There are many answers to these questions, some of which might appear to be contradictory. Thus understanding the complexity of meaning in mathematics education is a matter of huge importance. There are twin directions in which discussions have developed—theoretical and practical—and this book seeks to move the debate forward along both dimensions while seeking to relate them where appropriate. A discussion of meaning can start from a theoretical examination of mathematics and how mathematicians over time have made sense of their work. However, from a more practical perspective, anybody involved in teaching mathematics is faced with the need to orchestrate the myriad of meanings derived from multiple sources that students develop of mathematical knowledge. This book presents a wide variety of theoretical reflections and research results about meaning in mathematics and mathematics education based on long-term and collective reflection by the group of authors as a whole. It is the outcome of the work of the BACOMET (BAsic COmponents of Mathematics Education for Teachers) group who spent several years deliberating on this topic. The ten chapters in this book, both separately and together, provide a substantial contribution to clarifying the complex issue of meaning in mathematics education. This book is of interest to researchers in mathematics education, graduate students of mathematics education, under graduate students in mathematics, secondary mathematics teachers and primary teachers with an interest in mathematics.
Meaning in Mathematics Education
Author: Jeremy Kilpatrick
Publisher: Springer Science & Business Media
ISBN: 0387240403
Category : Education
Languages : en
Pages : 267
Book Description
What does it mean to know mathematics? How does meaning in mathematics education connect to common sense or to the meaning of mathematics itself? How are meanings constructed and communicated and what are the dilemmas related to these processes? There are many answers to these questions, some of which might appear to be contradictory. Thus understanding the complexity of meaning in mathematics education is a matter of huge importance. There are twin directions in which discussions have developed—theoretical and practical—and this book seeks to move the debate forward along both dimensions while seeking to relate them where appropriate. A discussion of meaning can start from a theoretical examination of mathematics and how mathematicians over time have made sense of their work. However, from a more practical perspective, anybody involved in teaching mathematics is faced with the need to orchestrate the myriad of meanings derived from multiple sources that students develop of mathematical knowledge. This book presents a wide variety of theoretical reflections and research results about meaning in mathematics and mathematics education based on long-term and collective reflection by the group of authors as a whole. It is the outcome of the work of the BACOMET (BAsic COmponents of Mathematics Education for Teachers) group who spent several years deliberating on this topic. The ten chapters in this book, both separately and together, provide a substantial contribution to clarifying the complex issue of meaning in mathematics education. This book is of interest to researchers in mathematics education, graduate students of mathematics education, under graduate students in mathematics, secondary mathematics teachers and primary teachers with an interest in mathematics.
Publisher: Springer Science & Business Media
ISBN: 0387240403
Category : Education
Languages : en
Pages : 267
Book Description
What does it mean to know mathematics? How does meaning in mathematics education connect to common sense or to the meaning of mathematics itself? How are meanings constructed and communicated and what are the dilemmas related to these processes? There are many answers to these questions, some of which might appear to be contradictory. Thus understanding the complexity of meaning in mathematics education is a matter of huge importance. There are twin directions in which discussions have developed—theoretical and practical—and this book seeks to move the debate forward along both dimensions while seeking to relate them where appropriate. A discussion of meaning can start from a theoretical examination of mathematics and how mathematicians over time have made sense of their work. However, from a more practical perspective, anybody involved in teaching mathematics is faced with the need to orchestrate the myriad of meanings derived from multiple sources that students develop of mathematical knowledge. This book presents a wide variety of theoretical reflections and research results about meaning in mathematics and mathematics education based on long-term and collective reflection by the group of authors as a whole. It is the outcome of the work of the BACOMET (BAsic COmponents of Mathematics Education for Teachers) group who spent several years deliberating on this topic. The ten chapters in this book, both separately and together, provide a substantial contribution to clarifying the complex issue of meaning in mathematics education. This book is of interest to researchers in mathematics education, graduate students of mathematics education, under graduate students in mathematics, secondary mathematics teachers and primary teachers with an interest in mathematics.
Innovating with Concept Mapping
Author: Alberto Cañas
Publisher: Springer
ISBN: 331945501X
Category : Education
Languages : en
Pages : 342
Book Description
This book constitutes the refereed proceedings of the 7th International Conference on Concept Mapping, CMC 2016, held in Tallinn, Estonia, in September 2016. The 25 revised full papers presented were carefully reviewed and selected from 135 submissions. The papers address issues such as facilitation of learning; eliciting, capturing, archiving, and using “expert” knowledge; planning instruction; assessment of “deep” understandings; research planning; collaborative knowledge modeling; creation of “knowledge portfolios”; curriculum design; eLearning, and administrative and strategic planning and monitoring.
Publisher: Springer
ISBN: 331945501X
Category : Education
Languages : en
Pages : 342
Book Description
This book constitutes the refereed proceedings of the 7th International Conference on Concept Mapping, CMC 2016, held in Tallinn, Estonia, in September 2016. The 25 revised full papers presented were carefully reviewed and selected from 135 submissions. The papers address issues such as facilitation of learning; eliciting, capturing, archiving, and using “expert” knowledge; planning instruction; assessment of “deep” understandings; research planning; collaborative knowledge modeling; creation of “knowledge portfolios”; curriculum design; eLearning, and administrative and strategic planning and monitoring.
The Radiological Accident in Goiânia
Author: International Atomic Energy Agency
Publisher:
ISBN:
Category : Business & Economics
Languages : en
Pages : 174
Book Description
The Government and authorities in Brazil were faced with a tragic accident in Goiânia resulting from the misuse of a strongly radioactive medical teletherapy source not under radiation protection surveillance. The present report is divided into four parts: a chronology of destruction of the source, discovery of the accident and initial response; a description of the human consequences and the dosimetry and treatment of seriously exposed and contaminated persons; an account of the assessment of the environmental contamination and the remedial actions taken; and observations and recommendations. Appendices and annexes give an assessment of the effectiveness of international co-operation in the emergency response, and provide further information on: public communications; radiological survey equipment; guidelines for the discharge of patients; radiological protection; chemical decontamination; and the lessons learned.
Publisher:
ISBN:
Category : Business & Economics
Languages : en
Pages : 174
Book Description
The Government and authorities in Brazil were faced with a tragic accident in Goiânia resulting from the misuse of a strongly radioactive medical teletherapy source not under radiation protection surveillance. The present report is divided into four parts: a chronology of destruction of the source, discovery of the accident and initial response; a description of the human consequences and the dosimetry and treatment of seriously exposed and contaminated persons; an account of the assessment of the environmental contamination and the remedial actions taken; and observations and recommendations. Appendices and annexes give an assessment of the effectiveness of international co-operation in the emergency response, and provide further information on: public communications; radiological survey equipment; guidelines for the discharge of patients; radiological protection; chemical decontamination; and the lessons learned.
Exchange Reactions
Elementary Theory of Numbers
Author: W. Sierpinski
Publisher: Elsevier
ISBN: 0080960197
Category : Mathematics
Languages : en
Pages : 527
Book Description
Since the publication of the first edition of this work, considerable progress has been made in many of the questions examined. This edition has been updated and enlarged, and the bibliography has been revised.The variety of topics covered here includes divisibility, diophantine equations, prime numbers (especially Mersenne and Fermat primes), the basic arithmetic functions, congruences, the quadratic reciprocity law, expansion of real numbers into decimal fractions, decomposition of integers into sums of powers, some other problems of the additive theory of numbers and the theory of Gaussian integers.
Publisher: Elsevier
ISBN: 0080960197
Category : Mathematics
Languages : en
Pages : 527
Book Description
Since the publication of the first edition of this work, considerable progress has been made in many of the questions examined. This edition has been updated and enlarged, and the bibliography has been revised.The variety of topics covered here includes divisibility, diophantine equations, prime numbers (especially Mersenne and Fermat primes), the basic arithmetic functions, congruences, the quadratic reciprocity law, expansion of real numbers into decimal fractions, decomposition of integers into sums of powers, some other problems of the additive theory of numbers and the theory of Gaussian integers.
Paradoxes of the Infinite (Routledge Revivals)
Author: Bernard Bolzano
Publisher: Routledge
ISBN: 1317748581
Category : Philosophy
Languages : en
Pages : 202
Book Description
Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19th century: Dr Bernard Bolzano’s Paradoxien. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician and physicist.
Publisher: Routledge
ISBN: 1317748581
Category : Philosophy
Languages : en
Pages : 202
Book Description
Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19th century: Dr Bernard Bolzano’s Paradoxien. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician and physicist.
World Anthropologies
Author: Gustavo Lins Ribeiro
Publisher: Routledge
ISBN: 1000184498
Category : Social Science
Languages : en
Pages : 352
Book Description
Since its inception, anthropology's authority has been based on the assumption that it is a unified discipline emanating from the West. In an age of heightened globalization, anthropologists have failed to discuss consistently the current status of their practice and its mutations across the globe. World Anthropologies is the first book to provoke this conversation from various regions of the world in order to assess the diversity of relations between regional or national anthropologies and a contested, power-laden Western discourse. Can a planetary anthropology cope with both the 'provincial cosmopolitanism' of alternative anthropologies and the 'metropolitan provincialism' of hegemonic schools? How might the resulting 'world anthropologies' challenge the current panorama in which certain allegedly national anthropological traditions have more paradigmatic weight - and hence more power - than others? Critically examining the international dissemination of anthropology within and across national power fields, contributors address these questions and provide the outline for a veritable world anthropologies project.
Publisher: Routledge
ISBN: 1000184498
Category : Social Science
Languages : en
Pages : 352
Book Description
Since its inception, anthropology's authority has been based on the assumption that it is a unified discipline emanating from the West. In an age of heightened globalization, anthropologists have failed to discuss consistently the current status of their practice and its mutations across the globe. World Anthropologies is the first book to provoke this conversation from various regions of the world in order to assess the diversity of relations between regional or national anthropologies and a contested, power-laden Western discourse. Can a planetary anthropology cope with both the 'provincial cosmopolitanism' of alternative anthropologies and the 'metropolitan provincialism' of hegemonic schools? How might the resulting 'world anthropologies' challenge the current panorama in which certain allegedly national anthropological traditions have more paradigmatic weight - and hence more power - than others? Critically examining the international dissemination of anthropology within and across national power fields, contributors address these questions and provide the outline for a veritable world anthropologies project.
Cloud Computing, Big Data & Emerging Topics
Author: Marcelo Naiouf
Publisher: Springer
ISBN: 9783030848248
Category : Computers
Languages : en
Pages : 203
Book Description
This book constitutes the revised selected papers of the 9th International Conference on Cloud Computing, Big Data & Emerging Topics, JCC-BD&ET 2021, held in La Plata, Argentina*, in June 2021. The 12 full papers and 2 short papers presented were carefully reviewed and selected from a total of 37 submissions. The papers are organized in topical sections on parallel and distributed computing; machine and deep learning; big data; web and mobile computing; visualization.. *The conference was held virtually due to the COVID-19 pandemic.
Publisher: Springer
ISBN: 9783030848248
Category : Computers
Languages : en
Pages : 203
Book Description
This book constitutes the revised selected papers of the 9th International Conference on Cloud Computing, Big Data & Emerging Topics, JCC-BD&ET 2021, held in La Plata, Argentina*, in June 2021. The 12 full papers and 2 short papers presented were carefully reviewed and selected from a total of 37 submissions. The papers are organized in topical sections on parallel and distributed computing; machine and deep learning; big data; web and mobile computing; visualization.. *The conference was held virtually due to the COVID-19 pandemic.
Naive Set Theory
Author: Paul Halmos
Publisher:
ISBN: 9781950217014
Category :
Languages : en
Pages : 98
Book Description
Written by a prominent analyst Paul. R. Halmos, this book is the most famous, popular, and widely used textbook in the subject. The book is readable for its conciseness and clear explanation. This emended edition is with completely new typesetting and corrections. Asymmetry of the book cover is due to a formal display problem. Actual books are printed symmetrically. Please look at the paperback edition for the correct image. The free PDF file available on the publisher's website www.bowwowpress.org
Publisher:
ISBN: 9781950217014
Category :
Languages : en
Pages : 98
Book Description
Written by a prominent analyst Paul. R. Halmos, this book is the most famous, popular, and widely used textbook in the subject. The book is readable for its conciseness and clear explanation. This emended edition is with completely new typesetting and corrections. Asymmetry of the book cover is due to a formal display problem. Actual books are printed symmetrically. Please look at the paperback edition for the correct image. The free PDF file available on the publisher's website www.bowwowpress.org
The Diario of Christopher Columbus's First Voyage to America, 1492-1493
Author:
Publisher: University of Oklahoma Press
ISBN: 9780806123844
Category : Biography & Autobiography
Languages : en
Pages : 510
Book Description
This definitive edition of Columbus's account of the voyage presents the most accurate printed version of his journal available to date. Unfortunately both Columbus's original manuscript, presented to Ferdinand and Isabella along with other evidence of his discoveries, and a single complete copy have been lost for centuries. The primary surviving record of the voyage-part quotation, part summary of the complete copy-is a transcription made by Bartolome de las Casas in the 1530s. This new edition of the Las Casas manuscript presents its entire contents-including notes, insertions, and canceled text-more accurately, completely, and graphically than any other Spanish text published so far. In addition, the new translation, which strives for readability and accuracy, appears on pages facing the Spanish, encouraging on-the- spot comparisons of the translation with the original. Study of the work is further facilitated by extensive notes, documenting differences between the editors' transcription and translation and those of other transcribers and translators and summarizing current research and debates on unanswered current research and debates on unanswered questions concerning the voyage. In addition to being the only edition in which Spanish and English are presented side by side, this edition includes the only concordance ever prepared for the Diario. Awaited by scholars, this new edition will help reduce the guesswork that has long plagued the study of Columbus's voyage. It may shed light on a number of issues related to Columbus's navigational methods and the identity of his landing places, issues whose resolution depend, at least in part, on an accurate transcription of the Diario. Containing day-by-day accounts of the voyage and the first sighting of land, of the first encounters with the native populations and the first appraisals of his islands explored, and of a suspenseful return voyage to Spain, the Diario provides a fascinating and useful account to historians, geographers, anthropologists, sailors, students, and anyone else interested in the discovery-or in a very good sea story. Oliver Dunn received the PH.D. degree from Cornell University. He is Professor Emeritus in Purdue University and a longtime student of Spanish and early history of Spanish America. James E. Kelley, Jr., received the M.A. degree from American University. A mathematician and computer and management consultant by vocation, for the past twenty years he has studied the history of European cartography and navigation in late-medieval times. Both are members of the Society for the History of Discoveries and have written extensively on the history of navigation and on Columbus's first voyage, Although they remain unconvinced of its conclusions, both were consultants to the National geographic Society's 1986 effort to establish Samana Cay as the site of Columbus's first landing.
Publisher: University of Oklahoma Press
ISBN: 9780806123844
Category : Biography & Autobiography
Languages : en
Pages : 510
Book Description
This definitive edition of Columbus's account of the voyage presents the most accurate printed version of his journal available to date. Unfortunately both Columbus's original manuscript, presented to Ferdinand and Isabella along with other evidence of his discoveries, and a single complete copy have been lost for centuries. The primary surviving record of the voyage-part quotation, part summary of the complete copy-is a transcription made by Bartolome de las Casas in the 1530s. This new edition of the Las Casas manuscript presents its entire contents-including notes, insertions, and canceled text-more accurately, completely, and graphically than any other Spanish text published so far. In addition, the new translation, which strives for readability and accuracy, appears on pages facing the Spanish, encouraging on-the- spot comparisons of the translation with the original. Study of the work is further facilitated by extensive notes, documenting differences between the editors' transcription and translation and those of other transcribers and translators and summarizing current research and debates on unanswered current research and debates on unanswered questions concerning the voyage. In addition to being the only edition in which Spanish and English are presented side by side, this edition includes the only concordance ever prepared for the Diario. Awaited by scholars, this new edition will help reduce the guesswork that has long plagued the study of Columbus's voyage. It may shed light on a number of issues related to Columbus's navigational methods and the identity of his landing places, issues whose resolution depend, at least in part, on an accurate transcription of the Diario. Containing day-by-day accounts of the voyage and the first sighting of land, of the first encounters with the native populations and the first appraisals of his islands explored, and of a suspenseful return voyage to Spain, the Diario provides a fascinating and useful account to historians, geographers, anthropologists, sailors, students, and anyone else interested in the discovery-or in a very good sea story. Oliver Dunn received the PH.D. degree from Cornell University. He is Professor Emeritus in Purdue University and a longtime student of Spanish and early history of Spanish America. James E. Kelley, Jr., received the M.A. degree from American University. A mathematician and computer and management consultant by vocation, for the past twenty years he has studied the history of European cartography and navigation in late-medieval times. Both are members of the Society for the History of Discoveries and have written extensively on the history of navigation and on Columbus's first voyage, Although they remain unconvinced of its conclusions, both were consultants to the National geographic Society's 1986 effort to establish Samana Cay as the site of Columbus's first landing.