What can we know?
Very interesting analogy [youtube=http://www.youtube.com/watch?v=lEr8hnvzeHU&w=420&h=315]
ABSTRACT In recent years, important works on the relationship between history and mathematics education have appeared: (a) The Proceedings of the “European Summer University on History and Epistemology in Mathematics Education” (Montpellier, France, 1993, Braga, Portugal, 1996, and Leuven/Louvain-la-Neuve, Belgium, 1999), (b) Two books based on the elaboration of papers…
Introduction Our rapidly changing world has posed the long-standing question to education, ―How can today’s schools be transformed so as to become environments of teaching and learning that makes individuals lifelong learners and prepare them for the 21st Century?" The response to this question is the focus of the OECD project,…
This is the text of a lecture by the late I. W. Busbridge, who was appointed to a lecturership in mathematics at St Hugh's College in 1938, and who was a fellow of the College from 1945 to 1970. She died in 1988. It is reproduced here without revision, as…
Notes from Lawrence , S: Making Sense of Newtons' Math It was considered that some historical insight into the study of curves by Newton, his persistent attempts to ‘resolve problems by motion' and his study of the curves via the readings of Descartes and van (1615-1660), and their description of dynamic generation…
...Mathematics, motion and truth: The earth goes round the sun The reality of the Earth's motion, as proclaimed by Copernicus, quickly proved contentious. Accepted by Kepler, disputed by theologians (Lutheran and Catholic alike), veiled in suggestions of mere convenience, adopted and explained by Newton as a consequence of universal gravitation,…