Analogies Between Analogies
Analogies Between Analogies

Author: S. M. Ulam

Publisher: Univ of California Press

Published: 2023-11-15

Total Pages: 588

ISBN-13: 0520322924

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During his forty-year association with the Los Alamos National Laboratory, mathematician Stanislaw Ulam wrote many Laboratory Reports, usually in collaboration with colleagues. Some of them remain classified to this day. The rest are gathered in this volume and for the first time are easily accesible to mathematicians, physical scientists, and historians. The timeliness of these papers is remarkable. They contain seminal ideas in such fields as nonlinear stochastic processes, parallel computation, cellular automata, and mathematical biology. The collection is of historical interest as well, During and after World War II, the complexity of problems at the frontiers of science surpassed any technology that had ever existed. Electronic computing machines had to be developed and new computing methods had to be invented based on the most abstract ideas from the foundations of mathematics and theoretical physics. To these problems and others in physics, astronomy, and biology, Ulam was able to bring both general insights and specific conceptual contributions. His fertile ideas were far ahead of their time, and ranged over many branches of science. In fact, his mathematical versatility fulfilled the statement of his friend and mentor, the great Polish mathematician Stefan Banach, who claimed that the very best mathematicians see "analogies between analogies." Introduced by A. R. Bednarek and Francoise Ulam, these Los Alamos reports represent a unique view of one of the twentieth century's intellectual masters and scientific pioneers. This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1990.

Metaphors & Analogies
Metaphors & Analogies

Author: Rick Wormeli

Publisher: Stenhouse Publishers

Published: 2009

Total Pages: 186

ISBN-13: 1571107584

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Metaphors show students how to make connections between the concrete and the abstract, prior knowledge and unfamiliar concepts, and language and image. But teachers must learn how to use metaphors and analogies strategically and for specific purposes, helping students discover and deconstruct effective comparisons. Metaphors & Analogies is filled with provocative illustrations of metaphors in action and practical tips.

Analogies for Critical Thinking Grade 5
Analogies for Critical Thinking Grade 5

Author: Ruth Foster

Publisher: Teacher Created Resources

Published: 2011-05

Total Pages: 66

ISBN-13: 1420631683

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Approach analogies as puzzles. To solve them, students need to use cognitive processes and critical-thinking skills. These exercises present word and/or picture relationships in several different ways. The goal is to develop skills in visual imagery, reading comprehension, vocabulary development, reasoning and test-taking.

Mathematical Reasoning
Mathematical Reasoning

Author: Lyn D. English

Publisher: Routledge

Published: 2013-04-03

Total Pages: 407

ISBN-13: 1136491147

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How we reason with mathematical ideas continues to be a fascinating and challenging topic of research--particularly with the rapid and diverse developments in the field of cognitive science that have taken place in recent years. Because it draws on multiple disciplines, including psychology, philosophy, computer science, linguistics, and anthropology, cognitive science provides rich scope for addressing issues that are at the core of mathematical learning. Drawing upon the interdisciplinary nature of cognitive science, this book presents a broadened perspective on mathematics and mathematical reasoning. It represents a move away from the traditional notion of reasoning as "abstract" and "disembodied", to the contemporary view that it is "embodied" and "imaginative." From this perspective, mathematical reasoning involves reasoning with structures that emerge from our bodily experiences as we interact with the environment; these structures extend beyond finitary propositional representations. Mathematical reasoning is imaginative in the sense that it utilizes a number of powerful, illuminating devices that structure these concrete experiences and transform them into models for abstract thought. These "thinking tools"--analogy, metaphor, metonymy, and imagery--play an important role in mathematical reasoning, as the chapters in this book demonstrate, yet their potential for enhancing learning in the domain has received little recognition. This book is an attempt to fill this void. Drawing upon backgrounds in mathematics education, educational psychology, philosophy, linguistics, and cognitive science, the chapter authors provide a rich and comprehensive analysis of mathematical reasoning. New and exciting perspectives are presented on the nature of mathematics (e.g., "mind-based mathematics"), on the array of powerful cognitive tools for reasoning (e.g., "analogy and metaphor"), and on the different ways these tools can facilitate mathematical reasoning. Examples are drawn from the reasoning of the preschool child to that of the adult learner.

Analogies Between Analogies
Analogies Between Analogies

Author: S. M. Ulam

Publisher: Univ of California Press

Published: 2022-03-25

Total Pages: 588

ISBN-13: 0520364996

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During his forty-year association with the Los Alamos National Laboratory, mathematician Stanislaw Ulam wrote many Laboratory Reports, usually in collaboration with colleagues. Some of them remain classified to this day. The rest are gathered in this volume and for the first time are easily accesible to mathematicians, physical scientists, and historians. The timeliness of these papers is remarkable. They contain seminal ideas in such fields as nonlinear stochastic processes, parallel computation, cellular automata, and mathematical biology. The collection is of historical interest as well, During and after World War II, the complexity of problems at the frontiers of science surpassed any technology that had ever existed. Electronic computing machines had to be developed and new computing methods had to be invented based on the most abstract ideas from the foundations of mathematics and theoretical physics. To these problems and others in physics, astronomy, and biology, Ulam was able to bring both general insights and specific conceptual contributions. His fertile ideas were far ahead of their time, and ranged over many branches of science. In fact, his mathematical versatility fulfilled the statement of his friend and mentor, the great Polish mathematician Stefan Banach, who claimed that the very best mathematicians see "analogies between analogies." Introduced by A. R. Bednarek and Francoise Ulam, these Los Alamos reports represent a unique view of one of the twentieth century's intellectual masters and scientific pioneers. This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1990.

Think Analogies A1
Think Analogies A1

Author: Cheryl Block

Publisher:

Published: 2011-04-05

Total Pages: 0

ISBN-13: 9780894557910

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Teaches how to distinguish between correct and incorrect analogies, such as "mouth is related to eat as teeth are related to chew" (correct) versus "mouth is related to eat as stomach is related to liver" (incorrect).

Metaphor and Analogy in Science Education
Metaphor and Analogy in Science Education

Author: Peter J. Aubusson

Publisher: Springer Science & Business Media

Published: 2006

Total Pages: 226

ISBN-13: 9781402038297

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This book brings together powerful ideas and new developments from internationally recognised scholars and classroom practitioners to provide theoretical and practical knowledge to inform progress in science education. This is achieved through a series of related chapters reporting research on analogy and metaphor in science education. Throughout the book, contributors not only highlight successful applications of analogies and metaphors, but also foreshadow exciting developments for research and practice. Themes include metaphor and analogy: best practice, as reasoning; for learning; applications in teacher development; in science education research; philosophical and theoretical foundations. Accordingly, the book is likely to appeal to a wide audience of science educators –classroom practitioners, student teachers, teacher educators and researchers.

Multiple Analogies in Science and Philosophy
Multiple Analogies in Science and Philosophy

Author: Cameron Shelley

Publisher: John Benjamins Publishing

Published: 2003-01-01

Total Pages: 192

ISBN-13: 9789027223630

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A multiple analogy is a structured comparison in which several sources are likened to a target. In "Multiple analogies in science and philosophy," Shelley provides a thorough account of the cognitive representations and processes that participate in multiple analogy formation. Through analysis of real examples taken from the fields of evolutionary biology, archaeology, and Plato's "Republic," Shelley argues that multiple analogies are not simply concatenated single analogies but are instead the general form of analogical inference, of which single analogies are a special case. The result is a truly general cognitive model of analogical inference.Shelley also shows how a cognitive account of multiple analogies addresses important philosophical issues such as the confidence that one may have in an analogical explanation, and the role of analogy in science and philosophy.This book lucidly demonstrates that important questions regarding analogical inference cannot be answered adequately by consideration of single analogies alone.