A new paper in The De Morgan Gazette:

V. Solomonov, Short Rules for Russians Teaching Calculus and Lower-Level Classes in USA, The De Morgan Gazette 8 no. 5 (2016), 79–84 ISSN 2053–1451. bit.ly/2izEyR2

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A new paper in The De Morgan Gazette:

V. Solomonov, Short Rules for Russians Teaching Calculus and Lower-Level Classes in USA, The De Morgan Gazette 8 no. 5 (2016), 79–84 ISSN 2053–1451. bit.ly/2izEyR2

PhD studentships in mathematics education at Sheffield Hallam University. Further information and contact details are below – please contact us to discuss your proposal.

Full details and application forms are available here: http://www.jobs.ac.uk/job/AWG226/phd-studentships-4-posts/ Closing date: 17:00 on 1st February 2017

New paper in the De Morgan Gazette:

David Pierce, Thales and the Nine-point Conic, The De Morgan Gazette 8 no. 4 (2016) 27-78. bit.ly/2hlyHzZ. ISSN 2053-1451

Abstract:The nine-point circle is established by Euclidean means; the nine-point conic, Cartesian.Cartesian geometry is developed from Euclidean by means of Thales’ s Theorem. A theory of proportion is given, and Thales’s Theorem proved, on the basis of Book I of Euclid’sElements, without the Archimedean assumption of Book V. Euclid’s theory of areas is used, although this is obviated by Hilbert’s theory of lengths. It is observed how Apollonius relies on Euclid’s theory of areas. The historical foundations of the name of Thales’s Theorem are considered. Thales is thought to have identified water as a universal substrate; his recognition of mathematical theorems as such represents a similar unification of things.