One of the factors associated with the less than positive mathematics performance of American students could be poorly designed textbooks that fail to facilitate the development of critical mathematical ideas. This study examined two reform-based textbooks (Go math! and Investigations) in reference to essential, mathematical big ideas emphasized…

The relationship between a student's stated preference for solving a problem and his/her actual problem methodology, concrete or abstract, was studied. Comparisons were made between formal and nonformal students. (MP)

The author reviews pertinent studies conducted between 1917 and 1973 in which the introspective-retrospective technique of data gathering was employed in determining the mental processes of children in arithmetical reasoning and the difficulties encountered. (MN)

Describes three activities that the teacher can employ to help students develop thinking skills through mathematics instruction: (1) memorization using the technique of chunking; (2) higher order thinking with magic squares; and (3) predicting games. Identifies eight facets of the teacher's role in promoting thinking skills. (MDH)

Explores the role that symbolic-graphical calculators can play in the current calls for reform in the mathematics curriculum. Discusses symbolic calculators and graphing calculators in relation to problem solving, computational skills, and mathematics instruction. (MDH)