Presents a simple qualitative system for sketching all manner of acid-base titration curves, requiring only the approximate values of the acid or base ionization constants. (WRM)

Discusses the graphing and other technical capabilities of the TI-83. Demonstrates possible uses of it in mathematics classrooms. (ASK)

Maintains that medical growth charts that have been created by pharmaceutical companies can be utilized to demonstrate a variety of statistical concepts in psychology. Expounds that the charts are based on data collected from 1963-1975 by the National Center for Health Statistics with a sample of over 20,000 children. Provides teaching activities.…

Takes a theme from "IMPACT Maths" and works it into a spreadsheet activity to display data in bar charts, pie charts, and line graphs. (ASK)

Creates graphs to see how the relative frequency of an event tends to approach the probability of that event as the number of trials increases. Uses a simulation of a poker machine to provide context for this subject. (ASK)

Focuses mainly on a common example in technology-rich mathematics curricula, namely the line of best fit, followed by a discussion of two additional examples, interpolating polynomials and complete graphs. (ASK)

Uses statistical graphs and charts of 33rd annual poll results to support conclusions on implications for educational policy. (PKP)

The idea of a graphing portfolio and its implementation in two levels of traditional university calculus courses is described. The activity of graphing helps students to gain a broader and deeper understanding of the connection between a function and its graph.

Graphing data and/or results from quantitative studies have been noted in the social sciences and the field of education as a means toward employing solid methodological practices. The publication rate in the JCSD of six specified graphs was examined under two editor ships from 1999 to 2003 and 2004. Preliminary results from the review suggested…

Hierarchical graphs represent relationships between objects (like computer file systems, family trees etc.). Graph nodes represent the objects and interconnecting lines represent the relationships. In two experiments we investigated what concepts are necessary for understanding hierarchical graphs, what misconceptions evolve when some of the…

This case study covers several exploratory data analysis ideas, the histogram and boxplot, kernel density estimates, the recently introduced bagplot--a two-dimensional extension of the boxplot--as well as the violin plot, which combines a boxplot with a density shape plot. We apply these ideas and demonstrate how to interpret the output from these…

In this paper, two classes of graphs of arbitrary order are described which contain unique Hamiltonian cycles. All the graphs have mean vertex degree greater than one quarter the order of the graph. The Hamiltonian cycles are detailed, their uniqueness proved and simple rules for the construction of the adjacency matrix of the graphs are given.…

This paper discusses a result of Li and Shen which proves the existence of a unique periodic solution for the differential equation x[dots above] + kx[dot above] + g(x,t) = [epsilon](t) where k is a constant; g is continuous, continuously differentiable with respect to x , and is periodic of period P in the variable t; [epsilon](t) is continuous…

In this article, the author shows some simple examples of ways in which "Autograph" can enhance learning in the KS3 curriculum. He began using version 2 with A-level students to help them visualise concepts in pure mathematics. He has "Autograph" projected to the front board to keep learners focused on mathematical activity…

"Measuring College and Career Readiness" represents a snapshot of the ACT-tested graduates in the class of 2009 and focuses on their readiness for college and careers. Designed to inform policymakers and practitioners about selected indicators of effectiveness, it is not intended to be comprehensive but instead is designed to help…