This timely book provides support for secondary mathematics teachers learning how to enact high-quality, equitable math instruction with dynamic, mathematics-specific technologies. Using practical advice from their own work as well as from interviews with 23 exceptional technology-using math teachers, the authors develop a vision of teaching with…

In the criminal justice system, defendants accused of a crime are presumed innocent until proven guilty. Statistical inference in any context is built on an analogous principle: The null hypothesis--often a hypothesis of "no difference" or "no effect"--is presumed true unless there is sufficient evidence against it. In this…

Computer simulation provides an effective vehicle for teaching many concepts, especially in probability and statistics. Described is a simulation for the applicability of the t distribution to the estimation of a population mean when the standard deviation of the population is unknown. (MNS)

Computers can be used in elementary statistics courses not only to perform calculations, but also to perform simulations to clarify concepts and theorems. Computer programs for a sample distribution of the mean and for the central limit theorem are given and discussed. (MNS)

The curved intersections of conics with planes are described. Two computer programs are given to enable students to simulate the "explosion" of ellipses into parabolas and then into hyperbolas. (MNS)

Describes a lesson that outlines a statistics/probability investigation into some aspects of past performance in snooker (a billiards game) using the random number generator on a graphing calculator. (MKR)

One way in which a computer simulation can convince students of the validity of formulas for the density and distributive functions of the sum of two variables is described. Four computer program listings are included. (MNS)

An exercise simulating the tossing of N dice is described. Calculation of expected gain and extension to a two-person game are each discussed. (MNS)

Investigates the problem of finding the expected number of questions necessary to identify 1 out of a set of 30 attribute blocks. Solutions include the use of a tree diagram or a computer simulation. Generalizes the problem for increased numbers of attributes. (MDH)

Describes a simulation-oriented computer microworld named CHANCE used to overcome the limitations of physical materials for experiments in teaching and learning introductory probability. Results of a teaching experiment conducted with four middle school and high school students are discussed. (15 references) (LZ)

Illustrates how to use computer simulation models in statistics to study the quality of an estimation procedure and concurrently the subtle concepts of randomness and convergence. Special emphasis is given to the use of graphical representations. (MKR)

Shares some reflections about using simulations on the Internet to teach statistics. Discusses problems of learning statistics, Internet terminology, statistical resources on the Internet, interactivity, and problems related to the use of Internet resources. (ASK)

Two methods for solving problems are presented, designed to help people overcome difficulties that often occur in the problem-solving process. One difficulty people have is in using their knowledge to reach the decisive solution idea. The proposed "method of description" for eliminating this difficulty is based on a directed enrichment of the…

Presented are two problems that can be solved using a computer simulation by students who have completed Algebra II. The distance and bisector formulas and the various forms of the equations of a circle and straight line are the topics. Computer program listings are included. (MNS)

How the microcomputer can be used to reinforce basic statistical concepts and techniques is presented. The methods for achieving this include specific statistical problems, projects, games, and simulations for use with microcomputers. (MNS)