Free Download Visual Thinking in Mathematics
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Book Details :
Published on: 2007-08-23
Released on: 2007-08-03
Original language:
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. Blyth Academy - Master Course List and Descriptions ... Blyth Academy Master Course List Scroll down and click an area of study and browse what courses we offer for grades 9-12 in each field! Course Prerequisites ... Bridges in Mathematics - The Math Learning Center Building Mathematical Thinkers Bridges in Mathematics is a comprehensive K5 curriculum that equips teachers to fully implement the Common Core State ... Instruction/Mathematics/Teacher Tools/Explicitly Model ... Explicitly Model Mathematics Concepts/Skills and Problem Solving Strategies . What is the purpose of Explicitly Modeling Mathematics Concepts/Skills and Problem ... Principles and Standards - National Council of Teachers of ... A comprehensive and coherent set of mathematics standards for each and every student from prekindergarten through grade 12 Principles and Standards is the first set ... Think Curriculum! : Thinking Mathematics! - James Tanton Think Curriculum! Teachers: Looking for the true and joyous way to think about and teach a curriculum topic? Students: Looking for the true and joyous way to ... Illuminations Designed to "illuminate" the new NCTM Principles and Standards for School Mathematics. National Library of Virtual Manipulatives A digital library containing Java applets and activities for K-12 mathematics Inspiration Software Inc. - The Leader in Visual Thinking ... Visual Learning Overview. Visual thinking is a learning style where the learner better understands and retains information when ideas words and concepts are ... WiseMapping - Visual Thinking Evolution WiseMapping is a free fast and simple online mind mapping editor for individuals and business. Sign up to start organizing and sharing your ideas and thoughts. Using the Rekenrek as a Visual Model for Strategic ... Using the Rekenrek as a Visual Model for Strategic Reasoning in Mathematics The Math Learning Center PO Box 12929 Salem Oregon 97309. Tel. 1 800 5758130.
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