This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

This Is A New Release Of The Original 1887 Edition.

The cognitive foundations of geometry have puzzled academics for a long time, and even today are mostly unknown to many scholars, including mathematical cognition researchers. Foundations of Geometric Cognition shows that basic geometric skills are deeply hardwired in the visuospatial cognitive capacities of our brains, namely spatial navigation and object recognition. These capacities, shared with non-human animals and appearing in early stages of the human ontogeny, cannot, however, fully explain a uniquely human form of geometric cognition. In the book, Hohol argues that Euclidean geometry would not be possible without the human capacity to create and use abstract concepts, demonstrating how language and diagrams provide cognitive scaffolding for abstract geometric thinking, within a context of a Euclidean system of thought. Taking an interdisciplinary approach and drawing on research from diverse fields including psychology, cognitive science, and mathematics, this book is a must-read for cognitive psychologists and cognitive scientists of mathematics, alongside anyone interested in mathematical education or the philosophical and historical aspects of geometry.

Seventy years after his death, the visionary work of Lev Semenovich Vygotsky (1896-1934) continues to have a profound impact on psychology, sociology, education, and other varied disciplines. The Essential Vygotsky selects the most significant writings from all phases of his work, and material from all six volumes of his Collected Works, so that readers can introduce themselves to the pioneering concepts developed by this influential Russian therapist, scholar, and cultural theorist, including: • The cultural-historical approach • The role of language in creating the mind • The development of memory and perception • Defectology (abnormal psychology/learning disabilities/special education) • The Zone of Proximal Development Each section features an insightful introduction exploring relevant aspects of Vygotsky’s life and illuminating the revolutionary historical context in which these writings were conceived. Together, they reflect the studies he was conducting at the time of his death and the pathbreaking clinical observations that made his reputation. For years, these papers were available mainly in hastily translated underground editions; now The Essential Vygotsky distills them into their most accessible form. Readers will be impressed and inspired by his insights, his optimism, his prescience, and his humanity. These papers are particularly relevant for students of developmental psychology, language, special education, and the history of these fields.

These three essays by an eminent scientist explore the nature, origin, and development of our concepts of space from the points of view of the senses, history, and physics. They examine the subject from every direction, in a manner suitable for both undergraduates and other readers. 25 figures.1906 edition.

During the last few centuries, natural philosophers, and more recently vision scientists, have recognized that a fundamental problem in biological vision is that the sources underlying visual stimuli are unknowable in any direct sense, because of the inherent ambiguity of the stimuli that impinge on sensory receptors. The light that reaches the eye from any scene conflates the contributions of reflectance, illumination, transmittance, and subsidiary factors that affect these primary physical parameters. Spatial properties such as the size, distance and orientation of physical objects are also conflated in light stimuli. As a result, the provenance of light reaching the eye at any moment is uncertain. This quandary is referred to as the inverse optics problem. This book considers the evidence that the human visual system solves this problem by incorporating past human experience of what retinal images have typically corresponded to in the real world.

Issues for 1904-47 include the Proceedings of the society.