Intuition in Science and Mathematics : An Educational Approach

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.