Author: Herbert Anderson
Publisher: Fortress Press
ISBN: 1506454801
Category : Religion
Languages : en
Pages : 236
Book Description
Shaping our journey into the Divine This moving and enlightening book presents us with a compelling vision of what can happen when we take the opportunity to connect stories and rituals--a vision of individuals and communities transformed through a deeper sense of connection to our loved ones, our communities, and God. Herbert Anderson and Edward Foley reveal how when stories and rituals work together, they have the potential to be both mighty and dangerous--mighty in their ability to lift us up and help us make these connections beyond ourselves and dangerous in challenging us to learn to live with complexity and contradiction. They show how much more meaningful a baptism, wedding, or funeral can be when liturgy is made to include and recognize the personal stories of those involved. Suddenly, these familiar life-cycle rituals are infused with new life as participants become connected in a narrative web linking past and present, human and divine. Newly created rituals can also help us connect our stories to the divine story, giving meaning to what we experience and bringing us closer to God. Ministers, worship leaders, and pastoral caregivers can use this approach to storytelling and ritual to find ways to bring together worship and pastoral care.
Mighty Stories, Dangerous Rituals
Author: Herbert Anderson
Publisher: Fortress Press
ISBN: 1506454801
Category : Religion
Languages : en
Pages : 236
Book Description
Shaping our journey into the Divine This moving and enlightening book presents us with a compelling vision of what can happen when we take the opportunity to connect stories and rituals--a vision of individuals and communities transformed through a deeper sense of connection to our loved ones, our communities, and God. Herbert Anderson and Edward Foley reveal how when stories and rituals work together, they have the potential to be both mighty and dangerous--mighty in their ability to lift us up and help us make these connections beyond ourselves and dangerous in challenging us to learn to live with complexity and contradiction. They show how much more meaningful a baptism, wedding, or funeral can be when liturgy is made to include and recognize the personal stories of those involved. Suddenly, these familiar life-cycle rituals are infused with new life as participants become connected in a narrative web linking past and present, human and divine. Newly created rituals can also help us connect our stories to the divine story, giving meaning to what we experience and bringing us closer to God. Ministers, worship leaders, and pastoral caregivers can use this approach to storytelling and ritual to find ways to bring together worship and pastoral care.
Publisher: Fortress Press
ISBN: 1506454801
Category : Religion
Languages : en
Pages : 236
Book Description
Shaping our journey into the Divine This moving and enlightening book presents us with a compelling vision of what can happen when we take the opportunity to connect stories and rituals--a vision of individuals and communities transformed through a deeper sense of connection to our loved ones, our communities, and God. Herbert Anderson and Edward Foley reveal how when stories and rituals work together, they have the potential to be both mighty and dangerous--mighty in their ability to lift us up and help us make these connections beyond ourselves and dangerous in challenging us to learn to live with complexity and contradiction. They show how much more meaningful a baptism, wedding, or funeral can be when liturgy is made to include and recognize the personal stories of those involved. Suddenly, these familiar life-cycle rituals are infused with new life as participants become connected in a narrative web linking past and present, human and divine. Newly created rituals can also help us connect our stories to the divine story, giving meaning to what we experience and bringing us closer to God. Ministers, worship leaders, and pastoral caregivers can use this approach to storytelling and ritual to find ways to bring together worship and pastoral care.
Task Design In Mathematics Education
Author: Anne Watson
Publisher: Springer
ISBN: 331909629X
Category : Education
Languages : en
Pages : 339
Book Description
*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* This open access book is the product of ICMI Study 22 Task Design in Mathematics Education. The study offers a state-of-the-art summary of relevant research and goes beyond that to develop new insights and new areas of knowledge and study about task design. The authors represent a wide range of countries and cultures and are leading researchers, teachers and designers. In particular, the authors develop explicit understandings of the opportunities and difficulties involved in designing and implementing tasks and of the interfaces between the teaching, researching and designing roles – recognising that these might be undertaken by the same person or by completely separate teams. Tasks generate the activity through which learners meet mathematical concepts, ideas, strategies and learn to use and develop mathematical thinking and modes of enquiry. Teaching includes the selection, modification, design, sequencing, installation, observation and evaluation of tasks. The book illustrates how task design is core to effective teaching, whether the task is a complex, extended, investigation or a small part of a lesson; whether it is part of a curriculum system, such as a textbook, or promotes free standing activity; whether the task comes from published source or is devised by the teacher or the student.
Publisher: Springer
ISBN: 331909629X
Category : Education
Languages : en
Pages : 339
Book Description
*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* This open access book is the product of ICMI Study 22 Task Design in Mathematics Education. The study offers a state-of-the-art summary of relevant research and goes beyond that to develop new insights and new areas of knowledge and study about task design. The authors represent a wide range of countries and cultures and are leading researchers, teachers and designers. In particular, the authors develop explicit understandings of the opportunities and difficulties involved in designing and implementing tasks and of the interfaces between the teaching, researching and designing roles – recognising that these might be undertaken by the same person or by completely separate teams. Tasks generate the activity through which learners meet mathematical concepts, ideas, strategies and learn to use and develop mathematical thinking and modes of enquiry. Teaching includes the selection, modification, design, sequencing, installation, observation and evaluation of tasks. The book illustrates how task design is core to effective teaching, whether the task is a complex, extended, investigation or a small part of a lesson; whether it is part of a curriculum system, such as a textbook, or promotes free standing activity; whether the task comes from published source or is devised by the teacher or the student.
Historical Modules for the Teaching and Learning of Mathematics
Author: Victor J. Katz
Publisher: American Mathematical Soc.
ISBN: 1470457113
Category : Mathematics
Languages : en
Pages : 1378
Book Description
Contains 11 modules consist of a number of activities designed to demonstrate the use of the history of mathematics in the teaching of mathematics. Objectives of the Modules: To enable students to develop a much richer understanding of mathematics and its applications by viewing the same phenomena from multiple mathematical perspectives; To enable students to understand the historical background and connections among historical ideas leading to the development of mathematics; To enable students to see how mathematical concepts evolved over periods of time; To provide students with opportunities to apply their knowledge of mathematics to various concrete situations and problems in a historical context; To develop in students an appreciation of the history connected with the development of different mathematical concepts; To enable students to recognize and use connections among mathematical ideas; To enable students to understand how mathematical ideas interconnect and build on one another to produce a coherent whole; To lead students to recognize and apply mathematics in contexts outside of mathematics.--Publisher.
Publisher: American Mathematical Soc.
ISBN: 1470457113
Category : Mathematics
Languages : en
Pages : 1378
Book Description
Contains 11 modules consist of a number of activities designed to demonstrate the use of the history of mathematics in the teaching of mathematics. Objectives of the Modules: To enable students to develop a much richer understanding of mathematics and its applications by viewing the same phenomena from multiple mathematical perspectives; To enable students to understand the historical background and connections among historical ideas leading to the development of mathematics; To enable students to see how mathematical concepts evolved over periods of time; To provide students with opportunities to apply their knowledge of mathematics to various concrete situations and problems in a historical context; To develop in students an appreciation of the history connected with the development of different mathematical concepts; To enable students to recognize and use connections among mathematical ideas; To enable students to understand how mathematical ideas interconnect and build on one another to produce a coherent whole; To lead students to recognize and apply mathematics in contexts outside of mathematics.--Publisher.
Revolutions in Mathematics
Author: Donald Gillies
Publisher: Oxford University Press on Demand
ISBN: 9780198514862
Category : Language Arts & Disciplines
Languages : en
Pages : 353
Book Description
The essays in this book provide the first comprehensive treatment of the concept of revolution in mathematics. In 1962 an exciting discussion of revolutions in the natural sciences was prompted by the publication of Kuhn's The Structure of Scientific Revolutions. A fascinating but little knownoffshoot of this debate was begun in the USA in the mid-1970s: can the concept of revolutions be applied to mathematics as well as science? Michael Crowe declared that revolutions never occur in mathematics, while Joseph Dauben argued that there have been mathematical revolutions and gave someexamples.The original papers of Crowe, Dauben, and Mehrtens are reprinted in this book, together with additional chapters giving their current views. To this are added new contributions from nine further experts in the history of mathematics who each discuss an important episode and consider whether it was arevolution.This book is an excellent reference work and an ideal course text for both graduate and undergraduate courses in the history and philosophy of science and mathematics.
Publisher: Oxford University Press on Demand
ISBN: 9780198514862
Category : Language Arts & Disciplines
Languages : en
Pages : 353
Book Description
The essays in this book provide the first comprehensive treatment of the concept of revolution in mathematics. In 1962 an exciting discussion of revolutions in the natural sciences was prompted by the publication of Kuhn's The Structure of Scientific Revolutions. A fascinating but little knownoffshoot of this debate was begun in the USA in the mid-1970s: can the concept of revolutions be applied to mathematics as well as science? Michael Crowe declared that revolutions never occur in mathematics, while Joseph Dauben argued that there have been mathematical revolutions and gave someexamples.The original papers of Crowe, Dauben, and Mehrtens are reprinted in this book, together with additional chapters giving their current views. To this are added new contributions from nine further experts in the history of mathematics who each discuss an important episode and consider whether it was arevolution.This book is an excellent reference work and an ideal course text for both graduate and undergraduate courses in the history and philosophy of science and mathematics.
The Emergence of the American Mathematical Research Community, 1876-1900
Author: Karen Hunger Parshall
Publisher: American Mathematical Soc.
ISBN: 9780821809075
Category : Mathematics
Languages : en
Pages : 532
Book Description
Cover -- Title page -- Contents -- Preface -- Acknowledgments -- Photograph and Figure Credits -- Chapter 1. An overview of American mathematics: 1776-1876 -- Chapter 2. A new departmental prototype: J.J. Sylvester and the Johns Hopkins University -- Chapter 3. Mathematics at Sylvester's Hopkins -- Chapter 4. German mathematics and the early mathematical career of Felix Klein -- Chapter 5. America's wanderlust generation -- Chapter 6. Changes on the horizon -- Chapter 7. The World's Columbian exposition of 1893 and the Chicago mathematical congress -- Chapter 8. Surveying mathematical landscapes: The Evanston colloquium lectures -- Chapter 9. Meeting the challenge: The University of Chicago and the American mathematical research community -- Chapter 10. Epilogue: Beyond the threshold: The American mathematical research community, 1900-1933 -- Bibliography -- Subject Index -- Back Cover
Publisher: American Mathematical Soc.
ISBN: 9780821809075
Category : Mathematics
Languages : en
Pages : 532
Book Description
Cover -- Title page -- Contents -- Preface -- Acknowledgments -- Photograph and Figure Credits -- Chapter 1. An overview of American mathematics: 1776-1876 -- Chapter 2. A new departmental prototype: J.J. Sylvester and the Johns Hopkins University -- Chapter 3. Mathematics at Sylvester's Hopkins -- Chapter 4. German mathematics and the early mathematical career of Felix Klein -- Chapter 5. America's wanderlust generation -- Chapter 6. Changes on the horizon -- Chapter 7. The World's Columbian exposition of 1893 and the Chicago mathematical congress -- Chapter 8. Surveying mathematical landscapes: The Evanston colloquium lectures -- Chapter 9. Meeting the challenge: The University of Chicago and the American mathematical research community -- Chapter 10. Epilogue: Beyond the threshold: The American mathematical research community, 1900-1933 -- Bibliography -- Subject Index -- Back Cover
Modern Algebra and the Rise of Mathematical Structures
Author: Leo Corry
Publisher: Birkhäuser
ISBN: 3034879172
Category : Mathematics
Languages : en
Pages : 463
Book Description
This book describes two stages in the historical development of the notion of mathematical structures: first, it traces its rise in the context of algebra from the mid-1800s to 1930, and then considers attempts to formulate elaborate theories after 1930 aimed at elucidating, from a purely mathematical perspective, the precise meaning of this idea.
Publisher: Birkhäuser
ISBN: 3034879172
Category : Mathematics
Languages : en
Pages : 463
Book Description
This book describes two stages in the historical development of the notion of mathematical structures: first, it traces its rise in the context of algebra from the mid-1800s to 1930, and then considers attempts to formulate elaborate theories after 1930 aimed at elucidating, from a purely mathematical perspective, the precise meaning of this idea.
Leonardo Pisano (Fibonacci)
Author: L. E. Sigler
Publisher: Elsevier
ISBN: 0080886507
Category : Mathematics
Languages : en
Pages : 147
Book Description
The Book of Squares by Fibonacci is a gem in the mathematical literature and one of the most important mathematical treatises written in the Middle Ages. It is a collection of theorems on indeterminate analysis and equations of second degree which yield, among other results, a solution to a problem proposed by Master John of Palermo to Leonardo at the Court of Frederick II. The book was dedicated and presented to the Emperor at Pisa in 1225. Dating back to the 13th century the book exhibits the early and continued fascination of men with our number system and the relationship among numbers with special properties such as prime numbers, squares, and odd numbers. The faithful translation into modern English and the commentary by the translator make this book accessible to professional mathematicians and amateurs who have always been intrigued by the lure of our number system.
Publisher: Elsevier
ISBN: 0080886507
Category : Mathematics
Languages : en
Pages : 147
Book Description
The Book of Squares by Fibonacci is a gem in the mathematical literature and one of the most important mathematical treatises written in the Middle Ages. It is a collection of theorems on indeterminate analysis and equations of second degree which yield, among other results, a solution to a problem proposed by Master John of Palermo to Leonardo at the Court of Frederick II. The book was dedicated and presented to the Emperor at Pisa in 1225. Dating back to the 13th century the book exhibits the early and continued fascination of men with our number system and the relationship among numbers with special properties such as prime numbers, squares, and odd numbers. The faithful translation into modern English and the commentary by the translator make this book accessible to professional mathematicians and amateurs who have always been intrigued by the lure of our number system.
David Hilbert and the Axiomatization of Physics (1898–1918)
Author: L. Corry
Publisher: Springer Science & Business Media
ISBN: 1402027788
Category : Science
Languages : en
Pages : 542
Book Description
David Hilbert (1862-1943) was the most influential mathematician of the early twentieth century and, together with Henri Poincaré, the last mathematical universalist. His main known areas of research and influence were in pure mathematics (algebra, number theory, geometry, integral equations and analysis, logic and foundations), but he was also known to have some interest in physical topics. The latter, however, was traditionally conceived as comprising only sporadic incursions into a scientific domain which was essentially foreign to his mainstream of activity and in which he only made scattered, if important, contributions. Based on an extensive use of mainly unpublished archival sources, the present book presents a totally fresh and comprehensive picture of Hilbert’s intense, original, well-informed, and highly influential involvement with physics, that spanned his entire career and that constituted a truly main focus of interest in his scientific horizon. His program for axiomatizing physical theories provides the connecting link with his research in more purely mathematical fields, especially geometry, and a unifying point of view from which to understand his physical activities in general. In particular, the now famous dialogue and interaction between Hilbert and Einstein, leading to the formulation in 1915 of the generally covariant field-equations of gravitation, is adequately explored here within the natural context of Hilbert’s overall scientific world-view. This book will be of interest to historians of physics and of mathematics, to historically-minded physicists and mathematicians, and to philosophers of science.
Publisher: Springer Science & Business Media
ISBN: 1402027788
Category : Science
Languages : en
Pages : 542
Book Description
David Hilbert (1862-1943) was the most influential mathematician of the early twentieth century and, together with Henri Poincaré, the last mathematical universalist. His main known areas of research and influence were in pure mathematics (algebra, number theory, geometry, integral equations and analysis, logic and foundations), but he was also known to have some interest in physical topics. The latter, however, was traditionally conceived as comprising only sporadic incursions into a scientific domain which was essentially foreign to his mainstream of activity and in which he only made scattered, if important, contributions. Based on an extensive use of mainly unpublished archival sources, the present book presents a totally fresh and comprehensive picture of Hilbert’s intense, original, well-informed, and highly influential involvement with physics, that spanned his entire career and that constituted a truly main focus of interest in his scientific horizon. His program for axiomatizing physical theories provides the connecting link with his research in more purely mathematical fields, especially geometry, and a unifying point of view from which to understand his physical activities in general. In particular, the now famous dialogue and interaction between Hilbert and Einstein, leading to the formulation in 1915 of the generally covariant field-equations of gravitation, is adequately explored here within the natural context of Hilbert’s overall scientific world-view. This book will be of interest to historians of physics and of mathematics, to historically-minded physicists and mathematicians, and to philosophers of science.
The Architecture of Modern Mathematics
Author: J. Ferreiros
Publisher: OUP Oxford
ISBN: 0191513792
Category : Mathematics
Languages : en
Pages : 456
Book Description
This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the overlapping areas of philosophy and the history of modern mathematics. It is a coherent, wide ranging account of how a number of topics in the philosophy of mathematics must be reconsidered in the light of the latest historical research, and how a number of historical accounts can be deepened by embracing philosophical questions.
Publisher: OUP Oxford
ISBN: 0191513792
Category : Mathematics
Languages : en
Pages : 456
Book Description
This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the overlapping areas of philosophy and the history of modern mathematics. It is a coherent, wide ranging account of how a number of topics in the philosophy of mathematics must be reconsidered in the light of the latest historical research, and how a number of historical accounts can be deepened by embracing philosophical questions.
Lewis Carroll in Numberland
Author: Robin Wilson
Publisher: Penguin UK
ISBN: 0141920785
Category : Mathematics
Languages : en
Pages : 311
Book Description
Lewis Carroll's books have delighted children and adults for generations, but behind their exuberant fantasy and delightful nonsense was the mind of a brilliant mathematician. Now his forgotten achievements in the world of numbers are brought to light by acclaimed author and mathematician Robin Wilson. Here he explores the curious imagination of a man whose pioneering work at Oxford University included investigations into voting patterns and tennis seeding, who dreamt up numerical conundrums in bed at night and who filled his writings with problems, paradoxes, puzzles and teasing games of logic. Taking us into a world of mock turtles and maps, gryphons and gravity, Lewis Carroll in Numberland reveals the singular mind of a genius.
Publisher: Penguin UK
ISBN: 0141920785
Category : Mathematics
Languages : en
Pages : 311
Book Description
Lewis Carroll's books have delighted children and adults for generations, but behind their exuberant fantasy and delightful nonsense was the mind of a brilliant mathematician. Now his forgotten achievements in the world of numbers are brought to light by acclaimed author and mathematician Robin Wilson. Here he explores the curious imagination of a man whose pioneering work at Oxford University included investigations into voting patterns and tennis seeding, who dreamt up numerical conundrums in bed at night and who filled his writings with problems, paradoxes, puzzles and teasing games of logic. Taking us into a world of mock turtles and maps, gryphons and gravity, Lewis Carroll in Numberland reveals the singular mind of a genius.