A computer-based strategy for illustrating the central limit theorem is described which introduces students to the important concept of a simulation model. The computer program is included. (MNS)

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)

Through the use of graphic computer simulation, this paper analyzes the combinatorial and geometric mathematics underlying a four-dimensional variation of the Rubik's Cube. This variation is called the Rubik's Tesseract and has dimensions, 3 x 3 x 3 x 3. (JJK)

Sophisticated simulations using computer graphics can lead to students deducing virtually all conditions of the Central Limit Theorem. Eight graphs illustrate the discussion. (MNS)

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)

Describes the "Buffon's Needle" problem, which is calculating the probability that a needle will cross one of two separated lines. Calculates the probability when the length of the needle is greater than the space of the two lines. Provides an analytic solution and the results of a computer simulation. (YP)

Presents four probability problems, their simulations, and analyses. The first illustrates a discrete situation for which it is possible to list the sample space. The second and third are continuous--the number of possible outcomes is infinite. The last is discrete with a surprising continuous extension question which leads to l/e. (JN)

Two computer programs are given to provide simulations, for any value of n, to keep count of the frequency of the first significant digit. (MNS)

Developed are simple recursion formulas for generating the exact distribution of the longest run of heads, both for a fair coin and for a biased coin. Discusses the applications of runs-related phenomena such as molecular biology, Markov chains, geometric variables, and random variables. (YP)

Demonstrated is the use of BASIC computer programs to simulate a binomial experiment and test a simple statistical hypothesis. The theoretical results are reached with the third programing attempt. All results, as well as computer programs, are included. (JJK)

The aim of the 2018 International Association for Development of the Information Society (IADIS) Cognition and Exploratory Learning in the Digital Age (CELDA) conference was to address the main issues concerned with evolving learning processes and supporting pedagogies and applications in the digital age. There have been advances in both cognitive…

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)

Provides a BASIC program to compute the number of shuffles required for packs containing even numbers of cards up to 100. Lists 4 further questions on the shuffling program. (YP)