Investigated the upper limits of (n=22) seventh-grade students' informal processes in solving first degree equations in one unknown prior to instruction. Results indicated the existence of a cognitive gap between arithmetic and algebra characterized as the students' inability to operate spontaneously with or on the unknown. (37 references)…

This handbook has been structured to provide teachers (K-2) with the most recent research on problem solving. It contains information and practical applications which deal with the key concepts of problem solving in mathematics. The handbook consists of four sections. The first section establishes the background and gives the purposes of the…

Two naturalistic research studies observed 45 eleventh grade students carrying out research paper assignments, and a third such study focused on 26 third grade students. The studies took place in Alberta (Canada) in 1993, Texas in 1996, and Washington state in 1999. From data analyzed in the interviews and written documents, the initial findings…