Drawing from philosophical work on the nature of concepts and from empirical studies of visual perception, mental imagery, and numerical cognition, Giaquinto explores a major source of our grasp of mathematics, using examples from basic geometry, arithmetic, algebra, and real analysis.
This two-part book on collections of paintings in Madrid is part of the series Documents for the History of Collecting, Spanish Inventories 1, which presents volumes of art historical information based on archival records. One hundred forty inventories of noble and middle-class collections of art in Madrid are accompanied by two essays describing the taste and cultural atmosphere of Madrid in the seventeenth and eighteenth centuries.
Foreword Reviews 2011 Book of the Year Honorable Mention (Health Category) Medical studies have consistently shown that patients benefit from therapy dog visits. One recent study of 59 adults showed that following a therapy dog visit their energy levels increased, respiratory rated calmed significantly and pain scores decreased by over 20%. Mood scores improved by over 60% with the patients feeling less tense, anxious, angry, tied depressed and dejected. Now in The Power of Wagging Tails, Dr. Dawn Marcus showcases the wide range of research that shows the therapeutic and healing power of dogs for people of all ages and with a wide range of health conditions. These research findings are brought to life through the personal stories of healing from dog owners across the United States and Canada. She shows you how to unleash the healing power of your own dog, describes how to effectively add a dog to the home of someone with a chronic condition, explains how the family dog can help with chronic health conditions, and teaches how to train a companion dog to be a certified therapy dog to help others. The Power of Wagging Tails will be of interest to dog owners, people wondering how to help family and friends coping with chronic illnesses, and individuals considering training their dogs for therapy work. Special Features of The Power of Wagging Tails include : Presentation of reliable medical research showing that dog therapy offers therapeutic benefits to people First-person accounts from service dog trainers, aerobic instructors, and recognized dog training experts such as Carol Lea Benjamin First-person accounts of people who have experienced dog therapy Practical suggestions to help people decide if they should add a dog to their home or have a therapy dog visit Sound advice to help people decide if dog therapy is right for them Practical tips on how to make dog therapy visits safe, effective, and successful for the dog, handler, and people visited
Drawing from philosophical work on the nature of concepts and from empirical studies of visual perception, mental imagery, and numerical cognition, Giaquinto explores a major source of our grasp of mathematics, using examples from basic geometry, arithmetic, algebra, and real analysis.
Visual thinking - visual imagination or perception of diagrams and symbol arrays, and mental operations on them - is omnipresent in mathematics. Is this visual thinking merely a psychological aid, facilitating grasp of what is gathered by other means? Or does it also have epistemological functions, as a means of discovery, understanding, and even proof? By examining the many kinds of visual representation in mathematics and the diverse ways in which they are used, Marcus Giaquinto argues that visual thinking in mathematics is rarely just a superfluous aid; it usually has epistemological value, often as a means of discovery. Drawing from philosophical work on the nature of concepts and from empirical studies of visual perception, mental imagery, and numerical cognition, Giaquinto explores a major source of our grasp of mathematics, using examples from basic geometry, arithmetic, algebra, and real analysis. He shows how we can discern abstract general truths by means of specific images, how synthetic a priori knowledge is possible, and how visual means can help us grasp abstract structures. Visual Thinking in Mathematics reopens the investigation of earlier thinkers from Plato to Kant into the nature and epistemology of an individual's basic mathematical beliefs and abilities, in the new light shed by the maturing cognitive sciences. Clear and concise throughout, it will appeal to scholars and students of philosophy, mathematics, and psychology, as well as anyone with an interest in mathematical thinking.
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