This paper describes six tricks on different mathematical concepts for mathematics classrooms. The mathematical concepts emphasized in these activities include arithmetic, modular arithmetic, limit cycles, graph theory, pairings, combinatorics, cyclic groups, induction, and sequences. (ASK)

This document contains the proceedings of a conference held at the U.S. Military Academy to consider the question of core requirements for the courses often employed by partner disciplines, what concepts and procedural skills are really central, and how these questions might lead to the creation of a new undergraduate set of requirements that meet…

Discusses terminology used by teachers for the symbol "-x" which cause students to become confused. Suggested methods of avoiding this confusion are presented. (JP)

Elementary school children were tested individually on their learning of mathematics and on Piagetian tests of concrete operations. Younger children were found to be inferior to older children in their success on learning tasks. (ST)

Results indicate that subjects are not able to work within a closed abstract system before they have attained the capacity for formal-operational reasoning. (RB)

Author introduces distinctions that occur between the inductive and deductive approaches to mathematical analysis thereby helping teachers, interested in innovative teaching methods, to understand more clearly the problems they are up against. (Author/RK)

After briefly presenting possible origins for the use of the decimal system for counting and the duodecimal (base twelve) system for many measures, a notational scheme using six positive'' digits and six negative'' digits is presented. Examples and algorithms using this set of digits for operations with whole numbers, fractions, and in…

Examples of logical paradoxes, including the square root of two paradox, Achilles and the tortoise paradox, author paradox, Russell paradox, bibliomaniac paradox, and Berry paradox, are presented; some are resolved. (DT)