(1994). On proof and progress in mathematics. Bulletin of the American Mathematical Society, 30:161-177. (Cited on pages 6, 19, and 118.)Thurston, W. P. (1994). On proof and progress in mathematics. Bulletin of the American Mathematical Society, 30(2):161-177....
William Thurston – On proof and progress in mathematics Diversions BoxCar2D Factcheck.org Gapminder Literally Unbelievable Planarity PolitiFact Quite Interesting snopes Strange maps Television tropes and idioms The Economist The Onion The Straight Dope This American Life on the financial crisis I This Ame...
proofprovinginternational perspectiveThis ICME-13 Monograph provides evidence of new trends and developments in mathematics education research on proof and proving. This book consists of 20 chapters: Sixteen chapters address research around four main themes, including (1) epistemological issues (Chapters 1...
P. (1995). On proof and progress in mathematics. For the Learning of Mathematics,15(1), 29–37. Google Scholar Uhlig, F. (2002). The role of proof in comprehending and teaching elementary linear algebra. Educational Studies in Mathematics,50, 335–346. Article Google Scholar Vinner, S...
Relevance and problem choice in design science Summary: The supposed opposition of rigor versus relevance is based on the mistaken idea that rigor consists of linear technology transfer combined with positivistic science, and ignores the context-dependence of relevance as well as the... Winter, ...
(1994). Proof practices and constructs of advanced mathematics students. British Educational Research Journal 20, (1), (pp.41-53). Google Scholar Knuth, 2002 E.J. Knuth Secondary school mathematics teachers' conceptions of proof Journal for Research in Mathematics Education, 33 (5) (2002), ...
Unfortunately, not all proposed proofs of a statement in mathematics are actually correct, and so some effort needs to be put into verification of such a proposed proof. Broadly speaking, there are two ways that one can show that a proof can fail. Firstly, one can find...
(2012). Learning opportunities for mathematical proof: The presentation of geometry problems in German and Taiwanese textbooks. Paper presented at the 36th Conference of the International Group for the Psychology of Mathematics Education. Cirillo, M. (2008). On becoming a geometry teacher: A ...
Concerning progress in the philosophy of mathematics. In Logic Colloquium 1973 (Bristol, 1973), pp. 41-52. Studies in Logic and the Foun- dations of Mathematics 80, North-Holland, Amsterdam, 1975. Reprinted in Selected Papers of ... A Robinson - 《Studies in Logic & the Foundations of ...
We believe that the proof of Conjecture1will make progress in solving Question3, but we cannot prove it in this paper. This paper is arranged as follows. In Sect.2, we prove Theorem1.7. In Sect.3, we give an equivalent condition that\(S_{z}\)does not possess the wandering subspace ...