The Problem of Arrangement of new Notions and Objects in the School Course of Mathematics
Nikolai Khristovich Rozov (2004)
The Teaching of Mathematics
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Nikolai Khristovich Rozov (2004)
The Teaching of Mathematics
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Kuno Lorenz (1997)
Philosophia Scientiae
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Rudolph Haller (1998-1999)
Philosophia Scientiae
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Karen Hunger Parshall (1999)
Revue d'histoire des mathématiques
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Bart Van Kerkhove, Jean Paul Van Bendegem (2005)
Philosophia Scientiae
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In current philosophical research, there is a rather one-sided focus on the foundations of proof. A full picture of mathematical practice should however additionally involve considerations about various methodological aspects. A number of these is identified, from large-scale to small-scale ones. After that, naturalism, a philosophical school concerned with scientific practice, is looked at, as far as the translations of its epistemic principles to mathematics is concerned. Finally,...
Léna Soler (2004)
Philosophia Scientiae
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Peter Dear (2001)
Revue d'histoire des mathématiques
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This note suggests that a fruitful way of investigating the history of mathematics lies in consideration of its pedagogical purposes. As a general illustration of the directions that such an approach might take, the paper discusses early-modern arguments for the practical utility of mathematics and its capacity to inculcate good habits of thought, as well as the appearance of new uses for mathematical training in the later eighteenth and early nineteenth centuries that served the purpose...
Vladimir Tihomirov (2003)
The Teaching of Mathematics
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Igor F. Sharygin (2003)
The Teaching of Mathematics
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Mogens Wegener (1996)
Philosophia Scientiae
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