The Mathematics Teacher and Curriculum Change.
Jeremy Kilpatrick (2009)
PNA
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Displaying similar documents to “The Problem of Arrangement of new Notions and Objects in the School Course of Mathematics”
The Mathematics Teacher and Curriculum Change.
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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...
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From Euclid's Elements to the methodology of mathematics. Two ways of viewing mathematical theory
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We present two sets of lessons on the history of mathematics designed for prospective teachers: (1) Euclid's Theory of Area, and (2) Euclid's Theory of Similar Figures. They aim to encourage students to think of mathematics by way of analysis of historical texts. Their historical content includes Euclid's Elements, Books I, II, and VI. The mathematical meaning of the discussed propositions is simple enough that we can focus on specific methodological questions, such as (a) what makes...