Not only are the problems teachers pose throughout their teaching of great importance but also the ways in which they use those problems make this a critical component of teaching. A problem-posing episode includes the problem setup, the statement of the problem, and the follow-up questions. Analysis of problem-posing episodes of precalculus…

Presented are example activities which are typical of the topic focus and methods of approach evident in the Algebraic Thinking in Children (ATIC) project. This project is aimed at assisting children to ultimately make sense of formal algebra when it is presented. (CW)

Problem Solving in Mathematics (PSM) is a program of problem-solving lessons for grades 4-9. The content objectives of these lessons are similar to those of most textbooks. However, PSM emphasizes problem-solving skills and a variety of instructional strategies which foster the development of such skills. These strategies include direct…