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particularity or limitation. At present, many models of the human subject in
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1994 Book DidacticsOfMathematicsAsAScien
particularity or limitation. At present, many models of the human subject in MICHAEL OTTE AND FALK SEEGER 363 HUMAN SUBJECT IN HISTORY mathematics education start from the basic assumption that the subject or- ganizes knowledge in different domains that are not necessarily connected by highly general structures forming a coherent system. This model sharply differs from models of the past that focused on a general ability or a general structure as an outcome of learning. In any case, to underline the domain- specificity of knowledge or the subjectivity of domains of experience seems to be important. In view of what has been said about the historicity of the subject, domain-specificity cannot be the last word. By no means can it be a goal of mathematics education to teach the students, starting from their do- mains of subjective experience, a range of domain-specific knowledge and techniques turning them into experts in selected fields. The goal of mathe- matics education, as it were, is general education. And how could the core of a general education be better styled than as being the experience of the multiplicity of perspectives that rests on being conscious of the historicity of the own personal perspective? Subjective domains of experience are the outcome of social and collective processes of learning and the outcome of an interiorization of relations and processes between humans. These processes are characterized by a transi- tion from the interpsychological to the intrapsychological plane (Vygotsky, 1987). The subjective experience of "multi-voicedness," which makes it possible to put the general in relation to the particular, needs collective pro- cesses in the mathematics classroom that have to be cultivated by mathe- matics education as a discipline. 364 REFERENCES Alexander, H. G. (Ed.). (1956). The Leibniz-Clarke correspondence. Manchester: Manchester University Press. Bakhtin, M. M. (1981). The dialogic imagination - Four essays [Edited by M. Holquist]. Austin, TX: University of Texas Press. Bateson, G. (1973). Steps to an ecology of mind. St. Albans, Hertfordshire: Paladin. Bibler, V. S. (1967). Die Genese des Begriffs der Bewegung [I. Maschke-Luschberger, Trans.]. In A. S. Arsen’ev, V. S. Bibler, & B. M. Kedrov (Eds.), Analyse des sich en- twickelnden Begriffs (pp. 99-196). Moskau: Nauka. Brockmeier, J. (1991). The construction of time, language, and self. Quarterly Newsletter of the Laboratory of Comparative Human Cognition, 13(2), 42-52. Bruner, J (1960). The process of education. New York: Vintage Books. Bundy, A. (1983). The computer modelling of mathematical reasoning. London: Academic Press. Cassirer, E. (1953). Substance and function. New York: Dover. Churchman, C. W. (1968). Challenge to reason. New York: McGraw-Hill. DiSessa, A. A. (1982). Unlearning Aristotelian physics. Cognitive Science, 6, 37-76. Gebhardt, M. (1912). Die Geschichte der Mathematik im mathematischen Unterricht. IMUK-Abhandlung IV, 6. Leipzig: Teubner. Glück, H. (1987). Schrift und Schriftlichkeit - Eine sprach- und kulturwissenschaftliche Studie. Stuttgart: J. B. Metzler. Goody, J. (1977). The domestication of the savage mind. Cambridge: Cambridge University Press. Grassmann, H. (1969). Die lineale Ausdehnungslehre. New York: Chelsea Publ. Co. [Original work published 1844] MICHAEL OTTE AND FALK SEEGER Havelock, E. A. (1986). The muse learns to write. Reflections on orality and literacy from Download 5.72 Mb. Do'stlaringiz bilan baham: |
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