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| Author | : George Lakoff |
| Publisher | : |
| Total Pages | : 520 |
| Release | : 2000-11-02 |
| Genre | : Mathematics |
| ISBN | : |
A study of the cognitive science of mathematical ideas.
| Author | : Rafael E. Núñez |
| Publisher | : Imprint Academic |
| Total Pages | : 310 |
| Release | : 1999 |
| Genre | : Brain |
| ISBN | : 9780907845065 |
Traditional cognitive science is Cartesian in the sense that it takes as fundamental the distinction between the mental and the physical, the mind and the world. This leads to the claim that cognition is representational and best explained using models derived from AI and computational theory. The authors depart radically from this model.
| Author | : Fumiya Iida |
| Publisher | : Springer |
| Total Pages | : 339 |
| Release | : 2004-07-02 |
| Genre | : Computers |
| ISBN | : 3540278338 |
Originating from a Dagstuhl seminar, the collection of papers presented in this book constitutes on the one hand a representative state-of-the-art survey of embodied artificial intelligence, and on the other hand the papers identify the important research trends and directions in the field. Following an introductory overview, the 23 papers are organized into topical sections on - philosophical and conceptual issues - information, dynamics, and morphology - principles of embodiment for real-world applications - developmental approaches - artificial evolution and self-reconfiguration
| Author | : Reuben Hersh |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 346 |
| Release | : 2006-01-16 |
| Genre | : Mathematics |
| ISBN | : 0387298312 |
Collection of the most interesting recent writings on the philosophy of mathematics written by highly respected researchers from philosophy, mathematics, physics, and chemistry Interdisciplinary book that will be useful in several fields—with a cross-disciplinary subject area, and contributions from researchers of various disciplines
| Author | : David Tall |
| Publisher | : Cambridge University Press |
| Total Pages | : 483 |
| Release | : 2013-09-02 |
| Genre | : Education |
| ISBN | : 1107035708 |
How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall reveals the reasons why mathematical concepts that make sense in one context may become problematic in another. For example, a child's experience of whole number arithmetic successively affects subsequent understanding of fractions, negative numbers, algebra, and the introduction of definitions and proof. Tall's explanations for these developments are accessible to a general audience while encouraging specialists to relate their areas of expertise to the full range of mathematical thinking. The book offers a comprehensive framework for understanding mathematical growth, from practical beginnings through theoretical developments, to the continuing evolution of mathematical thinking at the highest level.
| Author | : Elizabeth de Freitas |
| Publisher | : Cambridge University Press |
| Total Pages | : 301 |
| Release | : 2017-06-22 |
| Genre | : Education |
| ISBN | : 1107134633 |
Leading thinkers in mathematics, philosophy and education offer new insights into the fundamental question: what is a mathematical concept?
| Author | : Rudy Rucker |
| Publisher | : Courier Corporation |
| Total Pages | : 337 |
| Release | : 2013-11-21 |
| Genre | : Computers |
| ISBN | : 0486492281 |
Originally published: Boston: Houghton Mifflin, 1987.
| Author | : Jamie I.D. Campbell |
| Publisher | : Psychology Press |
| Total Pages | : 527 |
| Release | : 2005-08-15 |
| Genre | : Psychology |
| ISBN | : 1135423660 |
How does the brain represent number and make mathematical calculations? What underlies the development of numerical and mathematical abilities? What factors affect the learning of numerical concepts and skills? What are the biological bases of number knowledge? Do humans and other animals share similar numerical representations and processes? What underlies numerical and mathematical disabilities and disorders, and what is the prognosis for rehabilitation? These questions are the domain of mathematical cognition, the field of research concerned with the cognitive and neurological processes that underlie numerical and mathematical abilities. TheHandbook of Mathematical Cognition is a collection of 27 essays by leading researchers that provides a comprehensive review of this important research field.
| Author | : Eli Maor |
| Publisher | : Princeton University Press |
| Total Pages | : 206 |
| Release | : 2017-04-11 |
| Genre | : Art |
| ISBN | : 0691175888 |
An exquisite visual celebration of the 2,500-year history of geometry If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important branches of mathematics.
| Author | : Bertrand Russell |
| Publisher | : |
| Total Pages | : 232 |
| Release | : 1918 |
| Genre | : Mathematics |
| ISBN | : |
