Presents two real world applications that use derivatives and are related to computing the distance required to stop an airplane. Examines the curve-fitting techniques used to develop an equation for braking force and develops equations for the deceleration and speed. (DDR)

Covers a project conducted by the Freudenthal Institute in which observation of student behavior supported the premise that the graphics calculator can stimulate the use of realistic contexts, the exploratory approach to mathematics, a more integrated view of mathematics, and more flexible behavior in problem solving. (AIM)

A study implemented three different methods of presenting scientific graphs to 12 adults with visual impairments: audition, kinesthetics, or a combination of the two. Results indicate the combination of both audio and kinesthetic modalities can be a promising representation medium of common scientific graphs for people with visual impairments.…

Presents a teaching approach related to the concept of function that lead students working within a graphic milieu to producing, discussing, and testing the validity of mathematical statements and theorems. Indicates that students experimenting with the approach became able to think of functions as objects and engage in questions of the validity…

Describes a way of using multiple representations to help students learn data analysis and make sense out of a large amount of data. Includes an activity for a group-learning environment. (KHR)

Discussed is the tendency of students to equate the concepts of continuity and connected graphs based on their lack of an understanding of such concepts as limit points, closed sets, and connected sets. Included is a theorem with three lemmas with their proofs. (KR)

Discusses when to use the computer, paper-and-pencil, or mental-computation procedures. Provides examples of solving problems dealing with roots of polynomial using computer graphing and other strategies. Suggests implications for curricular planning. (YP)

Describes a variety of activities to develop ideas of pattern, mapping, and graphing for high-level high school mathematics classes. Provides problems and their answers with screen displays for the Casio graphic calculators. (YP)

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)