Sorting networks, used in graph theory, have instructional value as a skill- building tool as well as an interesting exploration in discrete mathematics. Students can practice mathematics facts and develop reasoning and logic skills with this topic. (Contains 4 figures.)

This article is concerned with the meanings that employees in industry attribute to representations of data and the contingencies of these meanings in context. Our primary concern is to more precisely characterize how the context of the industrial process is constitutive of the meaning of graphs of data derived from this process. We draw on data…

It is in the field of numerical analysis that this "easy-looking" function, also known as the Runge function, exhibits a behavior so idiosyncratic that it is mentioned even in most undergraduate textbooks. In spite of the fact that the function is infinitely differentiable, the common procedure of (uniformly) interpolating it with polynomials that…

Representative samples of fourth- and eighth-grade public school students from 21 urban districts participated in the 2011 National Assessment of Educational Progress (NAEP) in mathematics. Eighteen of the districts participating in the 2011 NAEP Trial Urban District Assessment (TUDA) participated in earlier assessment years, while three districts…

Representative samples of fourth- and eighth-grade public school students from 21 urban districts participated in the 2011 National Assessment of Educational Progress (NAEP) in reading. Eighteen of the districts participating in the 2011 NAEP Trial Urban District Assessment (TUDA) participated in earlier assessment years, while three districts…

When technologies are used in mathematics education it is important to assess how activities will support the development of mathematical understanding and the technical expertise that students will need. The two issues are discussed in this paper. Literature is reviewed and findings from a recent study in a high-school class are reported. The…

These proceedings contain the papers of the 14th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2017), 18-20 October 2017, which has been organized by the International Association for Development of the Information Society (IADIS) and endorsed by the Japanese Society for Information and Systems in…

Most of the research on bargaining has focused on individuals bargaining against other individuals. This paper discusses two experiments in which the bargaining processes and outcomes of bargaining teams were compared to those of individual bargainers. Individuals bargained against a single other in the first experiment, while a two-person team…

THIS IS AN ENGLISH TRANSLATION OF A RUSSIAN TEXTBOOK ON FIRST-GRADE ARITHMETIC COMPLETE WITH GRAPHS, PICTURES, PROBLEMS, AND LESSONS. ADDITION, SUBTRACTION, MULTIPLICATION, AND DIVISION APPEAR IN 892 PROBLEMS. THE THREE SECTIONS ARE ENTITLED "THE FIRST TEN,""THE SECOND TEN," AND "THE FIRST HUNDRED." THIS TRANSLATION…

Results of interviews with 167 school administrators, teacher association presidents, and chief school officers in three New York counties indicate that Southern Tier educators favor educational change, but are hampered in planning by insufficient financial support, apathy and resistance, and inadequate organizational structures. Specific…

Relations on a finite set V are viewed as weighted graphs. Using the language of graph theory, two methods of partitioning V are examined: selecting threshold values and applying them to a maximal weighted spanning forest, and using a parametric linear program to obtain a most adhesive partition. (Author/EM)

Discusses three techniques that can help counselors plot client growth over time: the split-middle method, the two standard deviation rule, and the frequency histogram. (Author/BH)

Discusses a graphical method of teaching elementary collisions. This method yields universal solutions to head-on collision problems with the target at rest by the use of parameters and graphical analysis at a mathematical level that beginning physics students can understand. The author concludes that this method is better than the traditional…