Author: Karl Menninger
Publisher: Courier Corporation
ISBN: 0486319776
Category : Mathematics
Languages : en
Pages : 512
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Book Description
Classic study discusses number sequence and number language, then explores written numerals and computations in a wide range of cultures. 282 illustrations. "Superior narrative ability." — Library Journal.
Author: Karl Menninger
Publisher:
ISBN:
Category : Abacus
Languages : en
Pages : 480
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Book Description
Author: Karl W. Menninger
Publisher:
ISBN:
Category :
Languages : en
Pages : 480
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Author: University of Chicago. Press
Publisher:
ISBN: 9780226104041
Category : Authorship
Languages : en
Pages :
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Book Description
Searchable electronic version of print product with fully hyperlinked cross-references.
Author: Joseph Mazur
Publisher: Princeton University Press
ISBN: 0691173370
Category : Mathematics
Languages : en
Pages : 309
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Book Description
An entertaining look at the origins of mathematical symbols While all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century. What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? In Enlightening Symbols, popular math writer Joseph Mazur explains the fascinating history behind the development of our mathematical notation system. He shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted. Traversing mathematical history and the foundations of numerals in different cultures, Mazur looks at how historians have disagreed over the origins of the numerical system for the past two centuries. He follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. Mazur also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. He considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics. From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today.
Author: Karl Menninger
Publisher:
ISBN:
Category : Abacus
Languages : en
Pages : 480
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Book Description
Author: Lester Kaufman
Publisher: John Wiley & Sons
ISBN: 1119652847
Category : Language Arts & Disciplines
Languages : en
Pages : 272
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Book Description
The bestselling workbook and grammar guide, revised and updated! Hailed as one of the best books around for teaching grammar, The Blue Book of Grammar and Punctuation includes easy-to-understand rules, abundant examples, dozens of reproducible quizzes, and pre- and post-tests to help teach grammar to middle and high schoolers, college students, ESL students, homeschoolers, and more. This concise, entertaining workbook makes learning English grammar and usage simple and fun. This updated 12th edition reflects the latest updates to English usage and grammar, and includes answers to all reproducible quizzes to facilitate self-assessment and learning. Clear and concise, with easy-to-follow explanations, offering "just the facts" on English grammar, punctuation, and usage Fully updated to reflect the latest rules, along with even more quizzes and pre- and post-tests to help teach grammar Ideal for students from seventh grade through adulthood in the US and abroad For anyone who wants to understand the major rules and subtle guidelines of English grammar and usage, The Blue Book of Grammar and Punctuation offers comprehensive, straightforward instruction.
Author: Andreas Nieder
Publisher: MIT Press
ISBN: 0262042789
Category : Science
Languages : en
Pages : 394
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Book Description
How our intuitive understanding of numbers is deeply rooted in our biology, traceable through both evolution and development. Humans' understanding of numbers is intuitive. Infants are able to estimate and calculate even before they learn the words for numbers. How have we come to possess this talent for numbers? In A Brain for Numbers, Andreas Nieder explains how our brains process numbers. He reports that numerical competency is deeply rooted in our biological ancestry; it can be traced through both the evolution of our species and the development of our individual minds. It is not, as it has been traditionally explained, based on our ability to use language. We owe our symbolic mathematical skills to the nonsymbolic numerical abilities that we inherited from our ancestors. The principles of mathematics, Nieder tells us, are reflections of the innate dispositions wired into the brain. Nieder explores how the workings of the brain give rise to numerical competence, tracing flair for numbers to dedicated “number neurons” in the brain. Drawing on a range of methods including brain imaging techniques, behavioral experiments, and twin studies, he outlines a new, integrated understanding of the talent for numbers. Along the way, he compares the numerical capabilities of humans and animals, and discusses the benefits animals reap from such a capability. He shows how the neurobiological roots of the brain's nonverbal quantification capacity are the evolutionary foundation of more elaborate numerical skills. He discusses how number signs and symbols are represented in the brain; calculation capability and the “neuromythology” of mathematical genius; the “start-up tools” for counting and developmental of dyscalculia (a number disorder analogous to the reading disorder dyslexia); and how the brain processes the abstract concept of zero.
Author: Norbert M. Seel
Publisher: Springer Science & Business Media
ISBN: 1441914277
Category : Education
Languages : en
Pages : 3643
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Book Description
Over the past century, educational psychologists and researchers have posited many theories to explain how individuals learn, i.e. how they acquire, organize and deploy knowledge and skills. The 20th century can be considered the century of psychology on learning and related fields of interest (such as motivation, cognition, metacognition etc.) and it is fascinating to see the various mainstreams of learning, remembered and forgotten over the 20th century and note that basic assumptions of early theories survived several paradigm shifts of psychology and epistemology. Beyond folk psychology and its naïve theories of learning, psychological learning theories can be grouped into some basic categories, such as behaviorist learning theories, connectionist learning theories, cognitive learning theories, constructivist learning theories, and social learning theories. Learning theories are not limited to psychology and related fields of interest but rather we can find the topic of learning in various disciplines, such as philosophy and epistemology, education, information science, biology, and – as a result of the emergence of computer technologies – especially also in the field of computer sciences and artificial intelligence. As a consequence, machine learning struck a chord in the 1980s and became an important field of the learning sciences in general. As the learning sciences became more specialized and complex, the various fields of interest were widely spread and separated from each other; as a consequence, even presently, there is no comprehensive overview of the sciences of learning or the central theoretical concepts and vocabulary on which researchers rely. The Encyclopedia of the Sciences of Learning provides an up-to-date, broad and authoritative coverage of the specific terms mostly used in the sciences of learning and its related fields, including relevant areas of instruction, pedagogy, cognitive sciences, and especially machine learning and knowledge engineering. This modern compendium will be an indispensable source of information for scientists, educators, engineers, and technical staff active in all fields of learning. More specifically, the Encyclopedia provides fast access to the most relevant theoretical terms provides up-to-date, broad and authoritative coverage of the most important theories within the various fields of the learning sciences and adjacent sciences and communication technologies; supplies clear and precise explanations of the theoretical terms, cross-references to related entries and up-to-date references to important research and publications. The Encyclopedia also contains biographical entries of individuals who have substantially contributed to the sciences of learning; the entries are written by a distinguished panel of researchers in the various fields of the learning sciences.
Author: Jessica Strawser
Publisher: St. Martin's Press
ISBN: 1250241634
Category : Fiction
Languages : en
Pages : 352
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Book Description
"Heartbreaking yet hopeful, this astute exploration of the bonds and limitations of family is a perfect book club pick.” – New York Times bestselling author Joshilyn Jackson A Most Anticipated by Goodreads * SheReads * E! News * Frolic Jessica Strawser's A Million Reasons Why is "a fascinating foray into the questions we are most afraid to ask" (Jodi Picoult, #1 New York Times bestselling author)--the story of two women who discover a bond between them that will change both their lives forever. When two strangers are linked by a mail-in DNA test, it’s an answered prayer—that is, for one half sister. For the other, it will dismantle everything she knows to be true. But as they step into the unfamiliar realm of sisterhood, the roles will reverse in ways no one could have foreseen. Caroline lives a full, happy life—thriving career, three feisty children, enviable marriage, and a close-knit extended family. She couldn’t have scripted it better. Except for one thing: She’s about to discover her fundamental beliefs about them all are wrong. Sela lives a life in shades of gray, suffering from irreversible kidney failure. Her marriage crumbled in the wake of her illness. Her beloved mother, always her closest friend, unexpectedly passed away. She refuses to be defined by her grief, but still, she worries what will happen to her two-year-old son if she doesn’t find a donor match in time. She’s the only one who knows Caroline is her half sister and may also be her best hope for a future. But Sela’s world isn’t as clear-cut as it appears—and one misstep could destroy it all. "A thrilling story of what happens when a long-held family secret comes to light...[Strawser] shows that no one is ever truly a villain or a hero, but instead, we are all a beautiful and messy mix of both." - Associated Press review
