Franklin

Intuition in science and mathematics [electronic resource] : an educational approach / Efraim Fischbein.

Author/Creator:
Fischbein, Efraim, 1920-1998.
Publication:
Dordrecht : Kluwer Academic Publisher, c1987.
Format/Description:
Book
1 online resource (241 p.)
Edition:
1st ed. 2002.
Series:
Mathematics Education Library, 0924-4921 ; 5
Mathematics Education Library, 0924-4921 ; 5
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Subjects:
Science -- Philosophy.
Mathematics -- Philosophy.
Intuition.
Form/Genre:
Electronic books.
Language:
English
Summary:
In writing the present book I have had in mind the following objectives: - To propose a theoretical, comprehensive view of the domain of intuition. - To identify and organize the experimental findings related to intuition scattered in a wide variety of research contexts. - To reveal the educational implications of the idea, developed for science and mathematics education. Most of the existing monographs in the field of intuition are mainly concerned with theoretical debates - definitions, philosophical attitudes, historical considerations. (See, especially the works of Wild (1938), of Bunge (1 962) and of Noddings and Shore (1 984).) A notable exception is the book by Westcott (1968), which combines theoretical analyses with the author’s own experimental studies. But, so far, no attempt has been made to identify systematically those findings, spread throughout the research literature, which could contribute to the deciphering of the mechanisms of intuition. Very often the relevant studies do not refer explicitly to intuition. Even when this term is used it occurs, usually, as a self-evident, common sense term.
Contents:
The Theory
Intuition and the Need for Certitude
Intuition and Mathematical Reasoning
Investigations in Overconfidence
General Characteristics of Intuitive Cognitions
The Classification of Intuitions
Inferential Intuitions and Logical Reasoning
Factors which Shape Intuitions
Intuition and Experience
The Practicalyty of Intuitive Meanings, Analysis of an Example: The Negative Numbers
Factors of Immediacy
Factors of Globality
Intuition and Intuitive Models
Models and Analogies
Paradigmatic Models
Diagrammatic Models
Phenomenological Primitives
Conflicts and Compromises
Factors of Perseverance and Closure: The Primacy Effect
Summary and Didactical Implications.
Notes:
Includes index.
ISBN:
1-280-20784-1
9786610207848
0-306-47237-6
OCLC:
55663981
Publisher Number:
10.1007/0-306-47237-6 doi