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To access, purchase, authenticate, or subscribe to the full-text of this article, please visit this link: http://dx.doi.org/10.1007/s00283-016-9700-z Byline: Tinne Hoff Kjeldsen (1) Author Affiliation: (1) Department of Mathematical Sciences, University of Copenhagen, Copenhagen, Denmark Article History: Registration Date: 24/12/2016 Online Date: 10/05/2017

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Students' difficulty in working with fractions is attributed to their lack of understanding of the role of the numerator and denominator and their over-generalization of whole-number thinking. An activity designed to help third-grade students organize their conceptions about rational number notation by associating with well-established whole-number routines using paper plates is presented.

This article focuses on the enormous impact on the modern theory of partial differential equations by three articles of John Nash, all written before the age of 30, before the onset of his terrible disease. http://dx.doi.org/10.1090/bull/1560

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Byline: Marc Chamberland (1), Eugene A. Herman (1) Author Affiliation: (1) Department of Mathematics and Statistics, Grinnell College, Grinnell, IA, 50112, USA Article History: Registration Date: 28/08/2014 Received Date: 16/12/2013 Accepted Date: 28/08/2014 Online Date: 25/12/2014 Article note: An erratum to this article can be found at http://dx.doi.org/10.1007/s00283-015-9536-y.

Online assessment in mathematics is becoming more prominent as mathematics and the internet become more compatible. This paper is based on a case study of a web-based calculus course in [...]

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Abstract. A model of a cone can be constructed from a piece of paper by removing a wedge and taping the edges together. The paper models discussed here expand on [...]

This paper describes the author's attempt to design assignments that engage preservice elementary teachers in original mathematical thinking. In particular, the choice of integer operations as the focus of a [...]

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The goal of the elementary mathematics program is to create an environment that supports the active exploration of mathematical ideas while demonstrating the connections between mathematics and everyday life. Many [...]

Byline: John J. Watkins (1) Author Affiliation: (1) 0000 0001 0657 7781, grid.254544.6, Department of Mathematics and Computer Science, Colorado College, Colorado Springs, CO, 80903, USA Article History: Registration Date: 05/06/2018 Online Date: 17/08/2018 Article note: Feel like writing a review for The Mathematical Intelligencer? Contact the column editor if you wish to submit an unsolicited review, or if you would welcome being assigned a book to review.

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Byline: L.L. Stacho (1), Gy. Domotor (2), M.I. Ban (2) Keywords: Elber--Karplus procedures; reaction path-following; DDRP method Abstract: The flaws in the 'Reply' [1] to our paper [2] have been pointed out. Elber and Karplus (EK) have not disproved our irrefutable global statement that the energy average cannot be minimized which rebuts the theoretical background of EK-type calculations. Another statement of ours has shown that even a curve for which the average energy is locally minimal for all directional perturbations in the sense of classical variational calculus cannot be identical with the reaction path (RP) defined as a steepest descent path (SDP). EK found an error in the early preprint of our theoretical paper [3] and because of this error they qualified our correct variational statement as false for all the SDPs consisting of a straight line each. Mixing global and variational arguments, EK refuted our criticism in a logically incorrect manner. In this Comment we prove that both of our earlier statements invariably remain in force and the criticism included in those has been as well-established and solid as was before. Author Affiliation: (1) Bolyai Institute, JATE University of Szeged, H-6720, Szeged, Aradi Vertanuk tere 1, Hungary (2) Institute of Physical Chemistry, JATE University of Szeged, H-6720, Szeged, POB 105, Hungary Article History: Registration Date: 09/10/2004

Writing Math Research Papers: Enrichment for Math Ethusiasts Author Robert Gerver Key Curriculum Press Publishers 1997 Paperback; $13.95 Reviewer Sheryl A. Maxwell The University of Memphis During the last decade, [...]

Nikolai Nikolaevich Luzin's work on continuous functions in the early 20th century was influenced by French textbooks, especially the research of J. L. Lagrange and A. L. Cauchy. Attempts to restore infinitesimals derive directly from Luzin's thought.

Stamps and letters are a part of history. The pictures on stamps show important events, people, and themes. The National Postal Museum in Washington, D.C., preserves items from postal history, [...]

Congruences mod p for a prime p and partial products of the numbers 1, ..., p - 1 are obtained. Bibliography: 2 titles., UDC 511 1. FULL FACTORIALS In accordance with the Wilson theorem, for a positive rational prime number p, the factorial of p - 1 satisfies the congruence (p - 1)! [...]

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A description is presented of an exercise which can be given to students of mathematics which involves an investigation of the limit of angle measures which can be formed through repeatedly folding a piece of paper.

New journals spring up with overwhelming and almost tiresome frequency these days. But Discrete Analysis is different. This journal is online-only--but it will contain no papers. Rather, it will provide [...]