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Author: Lynn M. Gordon Calvert
Publisher: Peter Lang Incorporated, International Academic Publishers
ISBN:
Category : Education
Languages : en
Pages : 196
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Book Description
Mathematical Conversations within the Practice of Mathematics questions underlying assumptions and broadens current perceptions of mathematical practice and discourse. Rather than simply a verbal exchange, a conversational discourse is viewed as a way to maintain our relationships with others as we seek meaning and coherence in our lived experiences. This book explores the nature of mathematical conversations and their place in the practice of mathematics. The necessary incompleteness of expression, explanation, and understanding within mathematical conversations is revealed and explored in this book resulting in alternative images of intelligent action, acceptable explanations, and the nature of mathematics and reality.
Author: Lynn M. Gordon Calvert
Publisher: Peter Lang Incorporated, International Academic Publishers
ISBN:
Category : Education
Languages : en
Pages : 196
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Book Description
Mathematical Conversations within the Practice of Mathematics questions underlying assumptions and broadens current perceptions of mathematical practice and discourse. Rather than simply a verbal exchange, a conversational discourse is viewed as a way to maintain our relationships with others as we seek meaning and coherence in our lived experiences. This book explores the nature of mathematical conversations and their place in the practice of mathematics. The necessary incompleteness of expression, explanation, and understanding within mathematical conversations is revealed and explored in this book resulting in alternative images of intelligent action, acceptable explanations, and the nature of mathematics and reality.
Author: François Bergeron
Publisher: Cambridge University Press
ISBN: 9780521573238
Category : Mathematics
Languages : en
Pages : 484
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Book Description
The combinatorial theory of species, introduced by Joyal in 1980, provides a unified understanding of the use of generating functions for both labelled and unlabelled structures and as a tool for the specification and analysis of these structures. Of particular importance is their capacity to transform recursive definitions of tree-like structures into functional or differential equations, and vice versa. The goal of this book is to present the basic elements of the theory and to give a unified account of its developments and applications. It offers a modern introduction to the use of various generating functions, with applications to graphical enumeration, Polya theory and analysis of data structures in computer science, and to other areas such as special functions, functional equations, asymptotic analysis and differential equations. This book will be a valuable reference to graduate students and researchers in combinatorics, analysis, and theoretical computer science.
Author: Falk Seeger
Publisher: Cambridge University Press
ISBN: 9780521571074
Category : Psychology
Languages : en
Pages : 276
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Book Description
The culture of the mathematics classroom is becoming an increasingly salient topic of discussion in mathematics education. Studying and changing what happens in the classroom allows researchers and educators to recognize the social character of mathematical pedagogy and the relationship between the classroom and culture at large. This volume is divided into three sections, reporting findings gained in both research and practice. The first part presents several attempts to change classroom culture by focusing on the education of mathematics teachers and on teacher-researcher collaboration. The second section shifts to the interactive processes of the mathematics classroom and to the communal nature of learning. The third section discusses the means of constructing, filtering, and establishing mathematical knowledge that are characteristic of classroom culture. This internationally relevant volume will be of particular interest to educators and educational researchers.
Author: Anna Sierpinska
Publisher: Springer
ISBN: 9401151946
Category : Education
Languages : en
Pages : 244
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Book Description
No one disputes how important it is, in today's world, to prepare students to un derstand mathematics as well as to use and communicate mathematics in their future lives. That task is very difficult, however. Refocusing curricula on funda mental concepts, producing new teaching materials, and designing teaching units based on 'mathematicians' common sense' (or on logic) have not resulted in a better understanding of mathematics by more students. The failure of such efforts has raised questions suggesting that what was missing at the outset of these proposals, designs, and productions was a more profound knowledge of the phenomena of learning and teaching mathematics in socially established and culturally, politically, and economically justified institutions - namely, schools. Such knowledge cannot be built by mere juxtaposition of theories in disci plines such as psychology, sociology, and mathematics. Psychological theories focus on the individual learner. Theories of sociology of education look at the general laws of curriculum development, the specifics of pedagogic discourse as opposed to scientific discourse in general, the different possible pedagogic rela tions between the teacher and the taught, and other general problems in the inter face between education and society. Mathematics, aside from its theoretical contents, can be looked at from historical and epistemological points of view, clarifying the genetic development of its concepts, methods, and theories. This view can shed some light on the meaning of mathematical concepts and on the difficulties students have in teaching approaches that disregard the genetic development of these concepts.
Author: Neal Stephenson
Publisher: Random House
ISBN: 1446440443
Category : Fiction
Languages : en
Pages : 917
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Book Description
Neal Stephenson follows his highly-praised historical novels, Quicksilver and The Confusion, with the extraordinary third and final volume of the Baroque Cycle. The year is 1714. Daniel Waterhouse has returned to England, where he joins forces with his friend Isaac Newton to hunt down a shadowy group attempting to blow up Natural Philosophers with 'Infernal Devices' - time bombs. As Daniel and Newton conspire, an increasingly vicious struggle is waged for England's Crown: who will take control when the ailing queen dies? Tories and Whigs clash as one faction jockeys to replace Queen Anne with 'The Pretender' James Stuart, and the other promotes the Hanoverian dynasty of Princess Caroline. Meanwhile, a long-simmering dispute between Newton and Gottfried Wilhelm Leibniz comes to a head, with potentially cataclysmic consequences. Wildly inventive, brilliantly conceived, The System of the World is the final volume in Neal Stephenson's hugely ambitious and compelling saga. Filled with a remarkable cast of characters in a time of genius, discovery and change, the Baroque Cycle is a magnificent and unique achievement.
Author: Isaac Newton
Publisher:
ISBN:
Category : Curves, Plane
Languages : en
Pages : 258
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Book Description
Author: Kathleen M. Clark
Publisher: Springer
ISBN: 3319739247
Category : Education
Languages : en
Pages : 389
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Book Description
This book includes 18 peer-reviewed papers from nine countries, originally presented in a shorter form at TSG 25 The Role of History of Mathematics in Mathematics Education, as part of ICME-13 during. It also features an introductory chapter, by its co-editors, on the structure and main points of the book with an outline of recent developments in exploring the role of history and epistemology in mathematics education. It serves as a valuable contribution in this domain, by making reports on recent developments in this field available to the international educational community, with a special focus on relevant research results since 2000. The 18 chapters of the book are divided into five interrelated parts that underlie the central issues of research in this domain: 1. Theoretical and conceptual frameworks for integrating history and epistemology in mathematics in mathematics education; 2. Courses and didactical material: Design, implementation and evaluation; 3. Empirical investigations on implementing history and epistemology in mathematics education; 4. Original historical sources in teaching and learning of and about mathematics; 5. History and epistemology of mathematics: Interdisciplinary teaching and sociocultural aspects. This book covers all levels of education, from primary school to tertiary education, with a particular focus on teacher education. Additionally, each chapter refers to and/or is based on empirical research, in order to support, illuminate, clarify and evaluate key issues, main questions, and conjectured theses raised by the authors or in the literature on the basis of historical-epistemological or didactical-cognitive arguments.
Author: O. Bottema
Publisher: Courier Corporation
ISBN: 0486663469
Category : Science
Languages : en
Pages : 594
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Book Description
Classic, comprehensive treatment covers Euclidean displacements; instantaneous kinematics; two-position, three-position, four-and-more position theory; special motions; multiparameter motions; kinematics in other geometries; and special mathematical methods.
Author: Elena Nardi
Publisher: Springer Science & Business Media
ISBN: 0387371419
Category : Education
Languages : en
Pages : 349
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Book Description
This book offers a unique perspective on ways in which mathematicians: perceive their students' learning; teach; reflect on their teaching practice. Elena Nardi achieves this by employing two fictional, yet entirely data-grounded, characters to create a conversation on these important issues. The construction of these characters is based on large bodies of data including intense focused group interviews with mathematicians and extensive analyses of students' written work, collected and analyzed over a substantial period.
Author: Anatoliĭ Alekseevich Logunov
Publisher:
ISBN:
Category : Gravitational fields
Languages : en
Pages : 264
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Book Description
