Considers definitions of quantiles. Describes median and quartiles. Compares the usefulness of 3 different definitions of quartile using a computer program to simulate 500 quantiles on a sample of a fixed size. Five references are listed. (YP)

Explored are various aspects of drawing graphs on surfaces. The Euler's formula, Kuratowski's theorem and the drawing of graphs in the plane with as few crossings as possible are discussed. Some applications including embedding of graphs and coloring of maps are included. (YP)

Describes classroom activities and shows that statistics is a practical tool for solving real problems. Presents a histogram, a stem plot, and a box plot to compare data involving class enrollments. (YP)

Introduces an introductory module for analysis. Describes stock of basic functions and their graphs as part one and three methods as part two: transformations of simple graphs, the sum of stock functions, and upper and lower bounds. (YP)

Describes the use of step-functions in modelling instruction. Classifies modelling into three categories: direct, analogical, and creative application. Provides and discusses modelling postal rates and other problems as examples. (YP)

Suggests computer graphing as a topic for computer programing. Reviews Apple II computer graphics information and gives suggestions for writing the programs. Presents equations to help place information onto the screen with proper coordinates. (MVL)

Described are activities using jar lids for sorting, classifying, and graphing; ordering; and measuring circumference and diameter. (MNS)

Topics from graph theory are introduced at an informal level and thereby made accessible to the majority of secondary school students. Three worksheets are included. (MNS)

Investigates the use of mathematical representations in 3 grade-8 general science classes (n=65) that engaged in a 10-week open inquiry about the correlations between biological and physical variables in the environment. Demonstrates the use of representations as conscription devices, and illustrates how the use and understanding of inscriptions…

Explores the development of 280 students across 7 grades in spelling and word knowledge as well as their pattern of use of lower- to higher-order strategies in their attempts to spell words, write derivations, and display syntactic knowledge. Older students gradually make less use of lower-order strategies in spelling, writing derivations, and in…

Discusses reorganizing classrooms for more active participation of students, to give children the freedom to work with mathematical materials in new ways and to allow teachers to monitor children's learning in new ways. Discusses the use of graphing activities to assess children's knowledge. (MKR)

Presents an activity in which students draw a picture, analyze each line and curve, and write the symbolic equations represented by the graph. Includes reproducible student worksheets. (MKR)

Presents five lessons to demonstrate how graphing calculators can be used to teach the slope-intercept concept of linear equations and to establish more general principles about two-dimensional graphs. Contains a reproducible student quiz. (MKR)

Discusses the use of technology to investigate what graphs represent as well as how to interpret graphs. (MKR)

Presents algebraic and geometric solutions with surprising twists to a word problem involving linear functions and postal rates. (MKR)