Creativity, tacit knowledge and mathematics education
Tipo de documento
Autores
Lista de autores
Otte, Michael Friedrich
Resumen
Explicit theoretical knowledge forms a reality sui generis, which cannot be easily related to the dynamics of the real world. Teaching and learning depends therefore much on implicit or tacit knowledge and personal contact. In particular, mathematical proofs that are meant to explain something to somebody, must contain elements of generalization and therefore they cannot be completely secure.
Fecha
2015
Tipo de fecha
Estado publicación
Términos clave
Desde disciplinas académicas | Gestión de aula | Otro (fundamentos) | Reflexión sobre la enseñanza
Enfoque
Nivel educativo
Educación media, bachillerato, secundaria superior (16 a 18 años) | Educación primaria, escuela elemental (6 a 12 años) | Educación secundaria básica (12 a 16 años)
Idioma
Revisado por pares
Formato del archivo
Volumen
3
Número
1
Rango páginas (artículo)
101-111
ISSN
23584750
Referencias
BARROW, J., 1992. Perche il mondo e matematico? Roma: Editore Guis. DANTO, A., 1981. The Transfiguration of the Commonplace. Harvard University Press. DANTO, A., 2003. The Abuse of Beauty. Chicago: Open Court. FREGE, G., 1975. Funktion, Begriff, Bedeutung, Göttingen: Vandenhoeck & Ruprecht. HAHN, H., 1988. Empirismus, Logik, Mathematik. Frankfurt: Suhrkamp. KATZ, J., 2004. Sense, Reference, and Philosophy. Oxford University Press. KATZ, J., 1990. The Metaphysics of Meaning. MIT Press. KUHN, T. S., 1962. The Structure of Scientific Revolutions, University of Chicago Press. NEWEN, A., 2005. Analytische Philosophie. Hamburg: Junius Verlag. OTTE, M., 1993. O Formal, o Social e o Subjetivo. São Paulo: Editora da UNESP PEIRCE, C. S. CP = Collected Papers of Charles Sanders Peirce, Volumes I-VI, ed. by Charles Hartshorne and Paul Weiss, Cambridge, Mass. (Harvard UP) 1931-1935, Volumes VII-VIII, ed. by Arthur W. Burks, Cambridge, Mass. (Harvard UP) 1958 (quoted by no. of volume and paragraph) WHEWELL, W., 1847, The Philosophy of the Inductive Sciences, London, 2 vols.