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Finding Teaching Inspiration From Gorgias: Mathematics Lessons From A Sophist, Ann L. Von Mehren
Finding Teaching Inspiration From Gorgias: Mathematics Lessons From A Sophist, Ann L. Von Mehren
Journal of Humanistic Mathematics
The logos or rational language of the fifth-century BCE teacher, Gorgias, as contained in the fragment On the Nonexistent, challenges a reader to understand the relationship between the existent and the nonexistent; yet the text also offers an accessible idea of logos. Inspired by William M. Priestley's approach to the study of logos through ratios, and by Ivor Grattan-Guinness's recommendation to broaden the study of historical texts in the history of mathematics and mathematics education, and pursue their significance in a heritage sense, this article suggests that this ancient non-mathematics text by Gorgias may inspire and refresh elementary mathematics educators' …
Perspective: Of Time And Eternity, James G. Lawson
Perspective: Of Time And Eternity, James G. Lawson
Journal of Humanistic Mathematics
This paper considers geometric perspective in relation to devotional requirements in Italian religious painting from about 1250 to about 1450. The content of the altarpiece consisted in antithetical elements---the graphic exposition of Christian dogmatics, and a dramatis personae increasingly to be identified in empathetic terms. The one-point perspective system that was invented towards the end of that period, then, presented an opportunity and a difficulty. It enabled the creation of a naturalistic space, aiding empathetic identification with psychologically plausible individuals in the pictured world. On the other hand, whilst superficially the space marked out by the geometry of the vanishing …