Author: Igor R. Shafarevich
Publisher: Springer Science & Business Media
ISBN: 3642563252
Category : Mathematics
Languages : en
Pages : 288
Book Description
Using various examples this monograph shows that algebra is one of the most beautiful forms of mathematics. In doing so, it explains the basics of algebra, number theory, set theory and probability. The text presupposes very limited knowledge of mathematics, making it an ideal read for anybody new to the subject. The author, I.R. Shafarevich, is well-known across the world as one of the most outstanding mathematicians of this century as well as one of the most respected mathematical writers.
Discourses on Algebra
Author: Igor R. Shafarevich
Publisher: Springer Science & Business Media
ISBN: 3642563252
Category : Mathematics
Languages : en
Pages : 288
Book Description
Using various examples this monograph shows that algebra is one of the most beautiful forms of mathematics. In doing so, it explains the basics of algebra, number theory, set theory and probability. The text presupposes very limited knowledge of mathematics, making it an ideal read for anybody new to the subject. The author, I.R. Shafarevich, is well-known across the world as one of the most outstanding mathematicians of this century as well as one of the most respected mathematical writers.
Publisher: Springer Science & Business Media
ISBN: 3642563252
Category : Mathematics
Languages : en
Pages : 288
Book Description
Using various examples this monograph shows that algebra is one of the most beautiful forms of mathematics. In doing so, it explains the basics of algebra, number theory, set theory and probability. The text presupposes very limited knowledge of mathematics, making it an ideal read for anybody new to the subject. The author, I.R. Shafarevich, is well-known across the world as one of the most outstanding mathematicians of this century as well as one of the most respected mathematical writers.
Thinking as Communicating
Author: Anna Sfard
Publisher: Cambridge University Press
ISBN: 1139467999
Category : Psychology
Languages : en
Pages : 295
Book Description
This book is an attempt to change our thinking about thinking. Anna Sfard undertakes this task convinced that many long-standing, seemingly irresolvable quandaries regarding human development originate in ambiguities of the existing discourses on thinking. Standing on the shoulders of Vygotsky and Wittgenstein, the author defines thinking as a form of communication. The disappearance of the time-honoured thinking-communicating dichotomy is epitomised by Sfard's term, commognition, which combines communication with cognition. The commognitive tenet implies that verbal communication with its distinctive property of recursive self-reference may be the primary source of humans' unique ability to accumulate the complexity of their action from one generation to another. The explanatory power of the commognitive framework and the manner in which it contributes to our understanding of human development is illustrated through commognitive analysis of mathematical discourse accompanied by vignettes from mathematics classrooms.
Publisher: Cambridge University Press
ISBN: 1139467999
Category : Psychology
Languages : en
Pages : 295
Book Description
This book is an attempt to change our thinking about thinking. Anna Sfard undertakes this task convinced that many long-standing, seemingly irresolvable quandaries regarding human development originate in ambiguities of the existing discourses on thinking. Standing on the shoulders of Vygotsky and Wittgenstein, the author defines thinking as a form of communication. The disappearance of the time-honoured thinking-communicating dichotomy is epitomised by Sfard's term, commognition, which combines communication with cognition. The commognitive tenet implies that verbal communication with its distinctive property of recursive self-reference may be the primary source of humans' unique ability to accumulate the complexity of their action from one generation to another. The explanatory power of the commognitive framework and the manner in which it contributes to our understanding of human development is illustrated through commognitive analysis of mathematical discourse accompanied by vignettes from mathematics classrooms.
A Handbook of Mathematical Discourse
Author: Charles Wells
Publisher: Infinity Publishing
ISBN: 0741416859
Category : Education
Languages : en
Pages : 1
Book Description
Publisher: Infinity Publishing
ISBN: 0741416859
Category : Education
Languages : en
Pages : 1
Book Description
Second Handbook of Research on Mathematics Teaching and Learning
Author: Frank K. Lester
Publisher: IAP
ISBN: 160752709X
Category : Education
Languages : en
Pages : 1380
Book Description
The audience remains much the same as for the 1992 Handbook, namely, mathematics education researchers and other scholars conducting work in mathematics education. This group includes college and university faculty, graduate students, investigators in research and development centers, and staff members at federal, state, and local agencies that conduct and use research within the discipline of mathematics. The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned above, the present Handbook contains chapters that should be relevant to four other groups: teacher educators, curriculum developers, state and national policy makers, and test developers and others involved with assessment. Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community.
Publisher: IAP
ISBN: 160752709X
Category : Education
Languages : en
Pages : 1380
Book Description
The audience remains much the same as for the 1992 Handbook, namely, mathematics education researchers and other scholars conducting work in mathematics education. This group includes college and university faculty, graduate students, investigators in research and development centers, and staff members at federal, state, and local agencies that conduct and use research within the discipline of mathematics. The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned above, the present Handbook contains chapters that should be relevant to four other groups: teacher educators, curriculum developers, state and national policy makers, and test developers and others involved with assessment. Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community.
White Men Aren't
Author: Thomas DiPiero
Publisher: Duke University Press
ISBN: 0822383942
Category : Social Science
Languages : en
Pages : 348
Book Description
Psychoanalytic theory has traditionally taken sexual difference to be the fundamental organizing principle of human subjectivity. White Men Aren’t contests that assumption, arguing that other forms of difference—particularly race—are equally important to the formation of identity. Thomas DiPiero shows how whiteness and masculinity respond to various, complex cultural phenomena through a process akin to hysteria and how differences traditionally termed “racial” organize psychic, social, and political life as thoroughly as sexual difference does. White masculinity is fraught with anxiety, according to DiPiero, because it hinges on the unstable construction of white men’s cultural hegemony. White men must always struggle against the loss of position and the fear of insufficiency—against the specter of what they are not. Drawing on the writings of Freud, Lacan, Butler, Foucault, and Kaja Silverman, as well as on biology, anthropology, and legal sources, Thomas DiPiero contends that psychoanalytic theory has not only failed to account for the role of race in structuring identity, it has in many ways deliberately ignored it. Reading a wide variety of texts—from classical works such as Oedipus Rex and The Iliad to contemporary films including Boyz 'n' the Hood and Grand Canyon—DiPiero reveals how the anxiety of white masculine identity pervades a surprising range of Western thought, including such ostensibly race-neutral phenomena as Englightenment forms of reason.
Publisher: Duke University Press
ISBN: 0822383942
Category : Social Science
Languages : en
Pages : 348
Book Description
Psychoanalytic theory has traditionally taken sexual difference to be the fundamental organizing principle of human subjectivity. White Men Aren’t contests that assumption, arguing that other forms of difference—particularly race—are equally important to the formation of identity. Thomas DiPiero shows how whiteness and masculinity respond to various, complex cultural phenomena through a process akin to hysteria and how differences traditionally termed “racial” organize psychic, social, and political life as thoroughly as sexual difference does. White masculinity is fraught with anxiety, according to DiPiero, because it hinges on the unstable construction of white men’s cultural hegemony. White men must always struggle against the loss of position and the fear of insufficiency—against the specter of what they are not. Drawing on the writings of Freud, Lacan, Butler, Foucault, and Kaja Silverman, as well as on biology, anthropology, and legal sources, Thomas DiPiero contends that psychoanalytic theory has not only failed to account for the role of race in structuring identity, it has in many ways deliberately ignored it. Reading a wide variety of texts—from classical works such as Oedipus Rex and The Iliad to contemporary films including Boyz 'n' the Hood and Grand Canyon—DiPiero reveals how the anxiety of white masculine identity pervades a surprising range of Western thought, including such ostensibly race-neutral phenomena as Englightenment forms of reason.
Educational Research: Discourses of Change and Changes of Discourse
Author: Paul Smeyers
Publisher: Springer
ISBN: 3319304569
Category : Education
Languages : en
Pages : 233
Book Description
This collection addresses concepts and theories of change, contexts and functions of reform discourses, and fields of change in educational research. It examines a wide variety of issues such as girls’ education in France, educational neuroscience, the professionalization in Child Protection, and mathematics discourses. It pays attention to the pervasiveness of crisis rhetoric in American Education Research, to the current university climate, and to perspectives for teacher education. The volume presents in-depth studies that integrate the perspective of history and philosophy of education. Educational research has been typically carried out within a discourse of change: changing educational practice, changing policy, or changing the world. Sometimes these expectations have been grand, as in claims of emancipation; sometimes they have been more modest, as in research as a support for specific reforms. This book explores the answers to such questions as: Are these expectations justified? How have these discourses of change themselves changed over time? What have researchers meant by change, and related concepts such as reform, improvement, innovation, progress and the new? Does this teleological and hopeful discourse itself reflect a particular historical and national/cultural point of view? Is it over promising for educational research to claim to solve social problems, and are these properly understood as educational problems? In doing so, it challenges prevailing ideas about the application of philosophy and history of education, and demonstrates the relevance of philosophical and historical approaches for the practice and theory of education and for educational research. This publication, as well as the ones that are mentioned in the preliminary pages of this work, were realized by the Research Community (FWO Vlaanderen / Research Foundation Flanders, Belgium) Philosophy and History of the Discipline of Education: Faces and Spaces of Educational Research.
Publisher: Springer
ISBN: 3319304569
Category : Education
Languages : en
Pages : 233
Book Description
This collection addresses concepts and theories of change, contexts and functions of reform discourses, and fields of change in educational research. It examines a wide variety of issues such as girls’ education in France, educational neuroscience, the professionalization in Child Protection, and mathematics discourses. It pays attention to the pervasiveness of crisis rhetoric in American Education Research, to the current university climate, and to perspectives for teacher education. The volume presents in-depth studies that integrate the perspective of history and philosophy of education. Educational research has been typically carried out within a discourse of change: changing educational practice, changing policy, or changing the world. Sometimes these expectations have been grand, as in claims of emancipation; sometimes they have been more modest, as in research as a support for specific reforms. This book explores the answers to such questions as: Are these expectations justified? How have these discourses of change themselves changed over time? What have researchers meant by change, and related concepts such as reform, improvement, innovation, progress and the new? Does this teleological and hopeful discourse itself reflect a particular historical and national/cultural point of view? Is it over promising for educational research to claim to solve social problems, and are these properly understood as educational problems? In doing so, it challenges prevailing ideas about the application of philosophy and history of education, and demonstrates the relevance of philosophical and historical approaches for the practice and theory of education and for educational research. This publication, as well as the ones that are mentioned in the preliminary pages of this work, were realized by the Research Community (FWO Vlaanderen / Research Foundation Flanders, Belgium) Philosophy and History of the Discipline of Education: Faces and Spaces of Educational Research.
Mathematical Discourses
Author: Carroll Vincent Newsom
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 144
Book Description
This little treatise is written for the non-mathematician, and concerned with mathematical discourses which are central to all mathematical study. Unless a person has some familiarity with the concept of mathematical discourse, they are not prepared to understand even the rudiments of modern mathematics and its significance. An understanding of the subject of this book is essential to mathematical literacy.
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 144
Book Description
This little treatise is written for the non-mathematician, and concerned with mathematical discourses which are central to all mathematical study. Unless a person has some familiarity with the concept of mathematical discourse, they are not prepared to understand even the rudiments of modern mathematics and its significance. An understanding of the subject of this book is essential to mathematical literacy.
Eleven Discourses
Author: William Jones
Publisher:
ISBN:
Category :
Languages : en
Pages : 160
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 160
Book Description
Distinctions of Reason and Reasonable Distinctions
Author: Jason M. Rampelt
Publisher:
ISBN: 9789004409132
Category : Mathematicians
Languages : en
Pages : 0
Book Description
John Wallis's autobiography : text and context -- Early life and education -- The foundation of a career -- Mathematical lecturer -- Doctor of Divinity -- Pedagogue, pastor, and protector -- Mathematical method -- The languages of philosophy.
Publisher:
ISBN: 9789004409132
Category : Mathematicians
Languages : en
Pages : 0
Book Description
John Wallis's autobiography : text and context -- Early life and education -- The foundation of a career -- Mathematical lecturer -- Doctor of Divinity -- Pedagogue, pastor, and protector -- Mathematical method -- The languages of philosophy.
Learning Discourse
Author: C. Kieran
Publisher: Springer Science & Business Media
ISBN: 0306480859
Category : Education
Languages : en
Pages : 306
Book Description
The authors of this volume claim that mathematics can be usefully re-conceptualized as a special form of communication. As a result, the familiar discussion of mental schemes, misconceptions, and cognitive conflict is transformed into a consideration of activity, patterns of interaction, and communication failure. By equating thinking with communicating, the discursive approach also deconstructs the problematic dichotomy between "individual" and "social" research perspectives.
Publisher: Springer Science & Business Media
ISBN: 0306480859
Category : Education
Languages : en
Pages : 306
Book Description
The authors of this volume claim that mathematics can be usefully re-conceptualized as a special form of communication. As a result, the familiar discussion of mental schemes, misconceptions, and cognitive conflict is transformed into a consideration of activity, patterns of interaction, and communication failure. By equating thinking with communicating, the discursive approach also deconstructs the problematic dichotomy between "individual" and "social" research perspectives.