The study explores the development of 11-year-old students' informal inference about random bunny hops through student talk and use of computer simulation tools. Our aim in this paper is to draw on dialogic theory to explain how students make shifts in perspective, from intuition-based reasoning to more powerful, formal ways of using probabilistic…

When a two-dimensional (2D) traveling salesman problem (TSP) is presented on a computer screen, human subjects can produce near-optimal tours in linear time. In this study we tested human performance on a real and virtual floor, as well as in a three-dimensional (3D) virtual space. Human performance on the real floor is as good as that on a…

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)

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)

Discusses the use of the mathematics classroom for discovering the relationship among computers, mathematics, and real-world problems. Provides three probability problems and compares the results of three methods, actual trial, computer simulation, and mathematical solution. (YP)

This paper describes a computer simulation of Buffon's needle problem. The problem considers the probability that a needle will cross a line when the needle is thrown in a random way onto the parallel lines a certain distance apart. The paper provides the algorithm and computer program. (YP)

Reviews seven papers presented by the Technical Committee for Education of the International Federation for Information Processing. Topics consider: undergraduate physics, high school optics, a mathematics lab with LOGO, simulations and modeling for secondary education, computer assisted instruction with biology, and mathematics of tomorrow. (MVL)

Presents five computer programs: (1) Accurate Numerical Solutions of the One-Dimensional Schrodinger Equation; (2) NMR Simulation and Interactive Drill/Interpretation; (3) A Simple Computer Program for the Calculation of 13C-NMR Chemical Shifts; (4) Constants of 1:1 Complexes from NMR or Spectrophotometric Measurements; and (5) Saturation…