This article looks at how children in preschool through second grade intuitively solve mathematical problems rather than using textbook strategies with a single path to a solution. The authors discuss Cognitively Guided Instruction (CGI), a curriculum approach that helps teachers understand and encourage children's use of intuitive strategies.…

A number of recent reports have called for increased teaching of "problem solving" and "critical thinking," particularly at the elementary level. This paper provides descriptive and evaluative data on a 9-month inservice program in mathematics for 89 elementary school teachers and 6 elementary school principals from 22 different schools. The…

Describes a teaching experiment that evaluated published supplemental materials used to aid preparation of lessons at the fourth grade level involving nonroutine word problems. Lists 12 insights gained that can be useful to teachers using commercially produced problem-solving materials. (MDH)

The "Preparing Elementary Teachers to Teach Mathematics (PETTM) Project" (1988-1991) was a cooperative university/school effort to improve the teaching of mathematics by elementary teachers with its primary focus on improving the university training of preservice teachers (PSTs) in mathematics. This document, the last of the project's…