Investigating properties and characteristics of unary operations is shown to be facilitated by using calculators. Several avenues for instructional exploration are suggested and examples given. These include questions relating to relations, inverses, commutativity, distributivity, and iterations. A discussion of the calculator algorithm for…

This study of seventh graders investigated the use of the calculator in learning conversion algorithms among fractions, decimals, and percents. The calculator was successful with some topics but not with others. (MP)

A study to investigate one of the mechanisms teachers may use to convince themselves incorrectly that students have learned science concepts requiring formal operational ability is presented. The investigation indicates instructors may actually teach and test for memorization of algorithms rather than understanding. (MP)

The calculator is used to investigate properties and characteristics of certain unary operations. These include how a number is related to the number resulting from a unary operation and the result of two unary operations. A discussion of the calculator algorithm to accomplish a series of unary operations is given. Record sheets to summarize…

Three perspectives of instruction that reflect applications of cognitive theory are transportation of knowledge, application of algorithms, and transfer of responsibility. To determine what kind of instructional theory is appropriate for vocational education in a rapidly changing, technological, and increasingly complex society and what…

This document is an English-language abstract (approximately 1,500 words) of a book dealing with certain problems of modern teaching techniques, general ones on the one hand, and algorithms on the other, viewed from the point of mathematical logic, information theory, psychology and didactics. The concept of teaching is based on a number of…