An investigation of primary school arithmetic in the United States between Colburn and Thorndike
Tipo de documento
Autores
Lista de autores
Radu, Mircea
Resumen
The following article provides a brief account of the development of American didactics of arithmetic between 1821 and 1917, as it appears in the textbooks of the time and with special reference to Warren Colburn (1793-1833) and Edward Lee Thorndike (1874-1949). It is focuses on the methodological ideas put forward in a series of classical arithmetic textbooks of the time. The core of the study is the analysis of a forgotten, yet in its spirit actual debate between Dewey and Phillips concerning the nature of arithmetic knowledge. This discussion owes a great deal to the remarkable historical work of R. G. Clason.
Fecha
2015
Tipo de fecha
Estado publicación
Términos clave
Diseño | Gestión de aula | Historia de la Educación Matemática | Libros de texto | Números naturales
Enfoque
Nivel educativo
Idioma
Revisado por pares
Formato del archivo
Volumen
3
Número
1
Rango páginas (artículo)
126-135
ISSN
23584750
Referencias
CAJORI, F. M. S.,1980. The Teaching and History and History of Mathematics in the United States, Washington: Government Printing Office. CLASON, R.G., 1968. Number Concepts in Arithmetic Texts of the United States from 1880 to 1966, with Related Psychological and Mathematical Developments, Ph. D Thesis. Univ. of Michigan: Ann Arbor, University Microfilms International. COLBURN, W., 1884. Intellectual Arithmetic, Upon the Inductive Method of Instruction. Boston: Houghton Mifflin. DEWEY, J., 1897-98. Some Remarks on the Psycology of Number, in: The Pedagogical Seminary, Vol. V, p. 426-434. MCLELLAN, J. A.; DEWEY. J., 1895. The Psychology of Number and its Applications to Methods of Teaching Arithmetic. New York: D. Appleton Company. MCLELLAN, J. A.; AMES, A. F., 1898. The Primary Public School Arithmetic: Based on Mclellan and Dewey's "Psychology of Number". New York: MacMillan. PESTALOZZI, J. H., 1898. How Gertrude Teaches her Children: An Attempt to help Mothers Teach Their Own Children and an Account of the Method. Syracuse, N. Y.: C. W. Braden. PHILLIPS, D.E., 1897. Number and it's Applications. In: The Pedagogical Seminary, Vol. V, p. 221-281. PHILLIPS, D.E., 1897-1898. Some Remarks on Number and it's Applications. In: The Pedagogical Seminary, Vol. VI, p. 590-598. PHILLIPS, D.E., 1898-1899. The Teaching Instinct. In: The Pedagogical Seminary, Vol. VI, p. 188-245. QUINE, W. v. O., 1963. Two Dogmas of Empiricism, in: From a Logical Viewpoint 60. New York: Harper & Row. RADU, M., 2000. Justus Graßmann's Contributions to the Foundations of Mathematics - Mathematical and Philosophical Aspects, in: Historia Mathematica 27, p. 4-35. RADU, M. 2003. Peirces Didaktik der Arithmetik: Möglichkeiten ihrer semiotischen Grundlegung, in: Hoffmann M. H. G. (Ed.), 2003. Mathematik Verstehen - Semiotische Perspektiven. Hildesheim: Franzbecker Verlag, p. 160-194. SCHUBERT, H., 1893-1894. Monism in Arithmetic, in: The Monist, Vol. IV, p. 396-402. SPEER, W. W., 1896. Primary Arithmetic: First Year for the Use of Teachers. Boston: Ginn & Co. THORNDIKE, E. L., 1917. The Thorndike Arithmetic. Chicago: Rand Mac Nally. THORNDIKE, E. L., 1922. Psychology of Arithmetic. New York: Macmillan.