Presents techniques for involving low achievers with essential mathematics requiring more than computational facility. Demonstrated is the need for students to be able to relate to the subject matter of mathematics - its structure and pattern, and its power - and only then be concerned with the precision, the computational skills, and the rules…

A collection of learning activities viewed as challenging and suitable for junior high students in grades 7 and 8 are presented. The questions are designed to suggest other situations and encourage mathematically gifted pupils to develop, practice, and refine analytical thinking skills. (MP)

Mathematics textbooks for grades K-9 were examined to determine how much of content was new content rather than review of old content. New content tends to decrease from grade three through grade eight with lowest amount of new content in books for grades six, seven, and eight (below 40 percent for two series). Differences among series are…