Many students encounter difficulty in their transition to advanced mathematical thinking. Such difficulty may be explained by a lack of understanding of many concepts taught in early school years, especially multiplicative reasoning. Advanced mathematical thinking depends on the development of multiplicative reasoning. The purpose of this study…

This report describes a program for developing and improving critical thinking skills in adolescents in order to prepare them for life-long learning. The targeted population consisted of high school math and social studies students from two middle-class communities located in northern Illinois. The students' lack of critical thinking skills was…

Presented is a study in which students' intellectual reasoning development was evaluated following instruction that emphasized formal operations in a traditional lecture format. Results indicated that formal-operational students had significantly more success in the three reasoning areas than transitional students and transitional students had…

The reasoning abilities to be expected of the concrete operational and formal operational student, the percentage of secondary science students that are capable of each type of reasoning pattern, and effective strategies to teach science to concrete reasoners are described. Implications for curriculum development are discussed. (KR)

Investigated were gender-related differences in the relationship between the development of formal reasoning skills and learning interests during the early adolescent stage. Results indicated that adolescent boys appeared to develop patterns of formal reasoning before their female classmates. Differences in subject preferences were also found. (CW)