This book uncovers the important issues in language learning and teaching in the intelligent, digital era. "Social connectivity" is a contemporary style of learning and living. By engaging in the connectivity of physical and digital worlds, how essential parts of language learning and teaching can be achieved? How can the advanced…

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)

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)

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)

A computer program is presented which simulates the classical probability machine, using Applesoft II high-resolution graphics. Many variables are left to the user's choosing. Suggestions for using the machine, understanding the problem, the mathematical model, and further program documentation are given. (MNS)

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…

Described is a Monte-Carlo method for modeling physical systems with a computer. Also discussed are ways to incorporate Monte-Carlo simulation techniques for introductory science and mathematics teaching and also for enriching computer and simulation courses. (RH)

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)

Presents background information and the listing for a LOGO computer program which investigates an ancient mathematical riddle (related to the square root of seventeen). The simulation, written for Apple II microcomputers, can be easily adapted to other microcomputers. (JN)

Analysis of errors children make is modeled both with and without computers. Patterns of thinking are traced for a fifth grader, with the discussion focused on getting clues for remedial instruction by analyzing the dialog. (MNS)