Activities are presented that focus on the topic of problem solving using the strategies of: (1) patterning; (2) working backwards; (3) making a chart, table, or graph; and (4) diagraming and elimination. (RH)

Describes a teaching experiment examining the possibility of the redefinition of a multiplication problem from a problem of remembering, to a problem of figuring out why arithmetic rules make sense. (YP)

Identifies and describes three steps where connections between written symbols and understandings can be made: (1) developing meaning for symbols; (2) developing meaning for rules; and (3) checking the reasonableness of solutions. (YP)

A project designed to stimulate analytical reasoning skills in elementary school students is described, with a sample of the developed exercises. The materials were found to generate and maintain an enthusiastic response from the group of gifted eight-year-olds with which they were used. (MP)

Increasing the amount of problem-solving training in the preservice education of mathematics teachers is promoted. Such problems should be designed to help preservice teachers acquire an "open search" frame of mind, according to the authors. (MP)

Describes ways of finding the answer to a problem for the possible sum of the three-digit numbers without using the same number repeatedly. Describes the classroom applications of the problem. Provides a computer program to obtain the solutions of the problem. (YP)

Compares two approaches to the teaching of mathematics, rote versus reasoning. Discusses the way to teach mathematics as reasoning in elementary classroom as stated in the NCTM Standards. (YP)

The problem-solving skills of logical thinking, critical thinking, visualization, and communication skills are linked with some activities for students. Sample activities with logic, strategies and patterns, breaking fixed notions, open-minded problems, spatial visualization, and communication are described. (MNS)