This article argues that, if creativity is measured by outcomes, then basic forms of reasoning (deduction, induction, abduction, specialization/generalization, and elementary memory associations) can be considered mildly creative. The claim is backed by references to computer programs that have generated creative outcomes. Limitations of this…

Defines the mathematical concept of proportionality. Uses graphs of linear relationships to explore and make generalizations about the characteristics of proportional situations to help students critically evaluate problems involving proportions. (MDH)

Attempts to show that not only can density be taught to lower ability pupils but that by doing so, there is the possibility of assisting pupils to develop their reasoning powers. Lists teaching activities that help in this process. (CW)

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)

Effective teaching strategies must be developed to help students bridge the gap between concrete operational thinking and full formal thinking in the content areas. Reading for meaning requires readers to categorize subjects, recognize relationships, develop and maintain a sequence of thought, recognize and understand inferences, and draw…

Describes a study which was designed to determine the effect of a 25-hour introductory qualitative analysis course on high school students' understanding of formal concepts related to electrolytes. Suggests that introductory concrete experiences better prepare students to deal with more formal abstract concepts. (TW)

The purpose of this study was to investigate the relationship between the achievement of some abstract concepts in "molecular genetics" and prior knowledge, formal reasoning ability, and sex. The major findings of the study were: (1) prior knowledge had a high significant correlation with the achievement of abstract concepts; (2) the…

Studies 94 undergraduate students in introductory statistics and computer science courses. Applies Formal Operations Reasoning Test (FORT) and Kolb's Learning Style Inventory (LSI). Finds that substantial numbers of students have not achieved the formal operation level of cognitive maturity. Emphasizes need to examine students learning style and…

Higher order cognitive development and success in the study of high school mathematics and science require an understanding of rational number concepts and facility with proportional reasoning and computation. Proportional reasoning is an essential schema for developing formal operational thought. This study involving 16 ninth-grade students was…

The purpose of this study was to examine for the middle grades how students' cognitive reasoning level contributes to the variability of their achievement test performance. While previous investigations have indicated that measures of reasoning development are associated with measures of achievement, few such studies have attempted to control for…