This article reports on an experiment investigating the effects of different kinds of computerbased visualizations on the acquisition of problem-solving skills in the domain of probability theory. Learners received either purely text-based worked examples, text plus an instruction to mentally imagine the examples’ contents, or the possibility of retrieving either static pictures or concrete ani...

Introduction. The problem of mathematical safe arises in the theory computer games and cryptographic applications. article considers numerous variations examples its solution using systems linear Diophantine equations finite rings fields. purpose article. To present methods for solving a various variations, which are related both to domain over is considered structure these domains. consider (i...