Examines the feasibility of including instruction in common schemes of inference in the elementary grades. (CP)

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)

This research study shows that it is possible to advance the use of proportional reasoning of many secondary school students by means of a well-designed teaching program. (MP)

Reported is a study involving six group administered tasks concerning proportional, probablistic, and correlational reasoning with 505 students aged 11.5 to 20.0 years. Investigated were the effectiveness of the tasks for assessing formal reasoning; categories of classification for students' responses and implications for teaching are suggested by…

Reports a study of 913 Israeli students in grades 7-12 from randomly chosen heterogeneous homeroom classes to investigate students' Piagetian cognitive levels using a video-based test. Results indicate that less than 50 percent of high school students have mastered formal operational reasoning. (MDH)

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)