Download e-book for kindle: A Source Book in Mathematics: v. 2 by David Eugene Smith

By David Eugene Smith

ISBN-10: 0486605531

ISBN-13: 9780486605531

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Additional resources for A Source Book in Mathematics: v. 2

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Every function in the child’s cultural development appears twice: first, on the social level, and later, on the individual level; first, between people (interpsychological), and then inside (intrapsychological). . All the higher functions originate as actual relations between human individuals” (Vygotsky, 1978, p. 57). • “The process of internalization is not the transferal of an external to a pre-existing, internal ‘plane of consciousness’; it is the process in which this plane is formed” (Leont’ev, 1981, p.

Prescribing teaching strategies and the ordering of curriculum content on the basis of Piaget’s psychological studies is a prime example of recontextualization. Psychologists, sociologists, mathematicians, and others might therefore look at work in mathematics education and at educational studies, in general, as derivative. At the same time, however, we should also look on the process as knowledge production, in that new formulations and frameworks emerge in dialectical interaction with the empirical field (Brown & Dowling, 1998) and are therefore produced in the educational context.

Third, mathematics has played a large part in diverse cultural practices (Joseph, 1991), including religious life, music, pattern, design, and decoration. It appears all around when one chooses to apply a mathematical gaze (Lerman, 1998b). Finally, there is the apparent power of mathematics such that its use can enable the building of skyscrapers, bridges, space exploration, economic theories, “smart” bombs, and so on; I should stop as the list descends into ignominy. Until about 15 years ago, mathematics education tended to draw on mathematics itself, or psychology, as disciplines for the production of knowledge in the field (Kilpatrick, 1992).

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A Source Book in Mathematics: v. 2 by David Eugene Smith

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