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This is Volume XIX of thirty-two in a series on Developmental Psychology. Originally published in 1960. There are certain problems of a general nature in regard to the development of spatial concepts in young children, the problem of spatial intuition as a whole is exceedingly complex, and this study discusses of a child's conception of geometry of measurement and metrical geometry.
First published in 1997. Routledge is an imprint of Taylor & Francis, an informa company.
Our encounters with the physical world are filled with miraculous puzzles-wind appears from somewhere, heavy objects (like oil tankers) float on oceans, yet smaller objects go to the bottom of our water-filled buckets. As adults, instead of confronting a whole world, we are reduced to driving from one parking garage to another. The Child's Conception of Physical Causality, part of the very beginning of the ground-breaking work of the Swiss naturalist Jean Piaget, is filled with creative experimental ideas for probing the most sophisticated ways of thinking in children. The strength of Piaget's research is evident in this collection of empirical data, systematically organized by tasks that illuminate how things work. Piaget's data are remarkably rich. In his new introduction, Jaan Valsiner observes that Piaget had no grand theoretical aims, yet the book's simple power cannot be ignored. Piaget's great contribution to developmental psychology was his "clinical method"-a tactic that integrated relevant aspects of naturalistic experiment, interview, and observation. Through this systematic inquiry, we gain insight into children's thinking. Reading Piaget will encourage the contemporary reader to think about the unity of psychological phenomena and their theoretical underpinnings. His wealth of creative experimental ideas probes into the most sophisticated ways of thinking in children. Technologies change, yet the creative curiosity of children remains basically unhindered by the consumer society. Piaget's data preserve the reality of the original phenomena. As such, this work will provide a wealth of information for developmental psychologists and those involved in the field of experimental science. Jean Piaget (1896-1980) is known for investigations of thought processes. He was professor at Geneva University (1929-1954) and director of the International Center for Epistemology (1955-1980). He is the author of The Language and Thought of the Child, Judgment and Reasoning in the Child, The Origin of Intelligence in Children, and The Early Growth of Logic in the Child. Jaan Valsiner is professor of psychology at Clark University, and a recognized authority on the life and work of Piaget.
First published in 1997. This Volume 4 of Jean Piaget's selected works and explores the study of the concept of space, or rather, of the innumerable ideas involved in the concept of space, which Piaget sees is for many reasons an indispensable part of child psychology.
In this book, 23 contributors offer new insights on key issues in mathematics education in early childhood.
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"Trigonometry, Geometry, and the Conception of Space is primarily a textbook for students of architecture, design, or any other subject that requires a strong, practical understanding of measurement. Topics that are traditionally included for future calculus students have been replaced with a study of three-dimensional space and geometry. The first portion of the book focuses on pure trigonometry: sets and numbers, the six trigonometric functions and their inverses, and applications. The second portion covers more geometric topics like cylindrical and spherical coordinate systems, conic sections, and quadric surfaces. The material emphasizes alternative ways to describe points in space and how to transfer between them. Written for highly visual courses exploring three-dimensional space and the objects that lie within it, Trigonometry, Geometry, and the Conception of Space offers fresh, modern instruction for classes in architecture, graphic design, and mathematics. Paul Tokorcheck earned his Ph.D. in mathematics at UC Santa Cruz, with research interests in group representations, number theory, and Lie theory. He is now a lecturer with the Department of Mathematics at Iowa State University. Apart from mathematics, Dr. Tokorcheck's life journey has taken him through a variety of jobs, from cooking in award-winning kitchens of California, to teaching high school in northern Ghana, to resettling refugees from the civil wars in Liberia and Sierra Leone."