This book examines research on creative thinking, both current and historical. It explores two dimensions of human thought (time and space) and two modes of thinking (conscious and unconscious) as well as both left and right brain functions and artistic and scientific creative activities. The book proposes a "Double Circulation" model of…

How do children learn math--and why do some children struggle with it? The answers are in "Number Sense and Number Nonsense," a straightforward, reader-friendly book for education professionals and an invaluable multidisciplinary resource for researchers. More than a first-ever research synthesis, this highly accessible book brings math…

Since Polya, Wertheimer, and Hadamard's descriptions of qualitative reasoning strategies used by scientists and mathematicians, very little data have been collected on whether these strategies are actually used by experts. This study used video-taped thinking-aloud interviews to examine the problem solving strategies of professors and advanced…

Three studies investigated the effects of concrete versus abstract wording and negative versus positive premises on the difficulty subjects had in solving several kinds of reasoning tasks. Subjects for all three studies were college undergraduates who received booklets containing either hypothetical, disjunctive, or linear syllogisms. Each booklet…

Examines the relationship between development of logical processes required in deductive reasoning and their use by preschoolers, also considering possible explanations for children's deductive reasoning. The relationship of problem content to real-world knowledge and the sequence of presentation of problem types were found to affect the display…

The explicit, experimental introduction of a series of logical inconsistencies is described and recommended as a means of disrupting the faulty logic and, thereby, enhancing the use of more appropriate probabilistic reasoning by graduate students enrolled in an introductory inferential statistics course. (14 references) (JJK)

Students and instructors may be frustrated with students' lack of understanding of sociological concepts. We suggest that the difficulty of teaching and learning sociology is that sociological concepts and relationships require the use of abstract reasoning patterns. Many students are unaccustomed to using these abstract reasoning patterns. We use…

To investigate the development of function concepts and their relation to mathematical and logical abilities typically acquired during the age period of five to seven years, children were tested on nonnumerical function tasks, numerical tasks, and aspects of logical reasoning. (PCB)

This set of papers was originally developed for a conference on Issues and Directions in Mathematics Problem Solving Research held at Indiana University in May 1981. The purpose is to contribute to the clear formulation of the key issues in mathematical problem-solving research by presenting the ideas of actively involved researchers. An…

Investigated effects of teaching an explicit approach to problem solving on the mathematical chemistry achievement of preparatory college students (with a control group being taught dimensional analysis as its problem-solving strategy). No difference in cumulative achievement between the groups was found. Interpretations of the results obtained…

Investigates the effect that manipulation of the extent of formal reasoning required for solving chemistry problems has upon student performance, and presents a cognitive model for the qualitative analysis of that effect. Concludes that the developmental level of students is the most important predictor of problem-solving success given significant…

A study investigated developments in reasoning and memory as reflected by the discovery strategies of children taking part in a manipulative categorization and recall task. A total of 40 children (8 each of 18, 24, 30, 36, and 42 months of age) participated. Stimulus materials consisting of blocks, toy plates, discs, and plastic trees were…

A conference in June 1978 brought together approximately 50 faculty from various American universities to discuss issues related to cognitive process instruction. This book contains the papers from that conference, focusing on recent, innovative approaches to cognitive process instruction and recent research studies on thinking skills that have…

The mental representations used by experts and novices for organizing their knowledge of a discipline have been studied by observing the categorization schemes these subjects produce when presented with a diverse group of problems. In this study, seven biology faculty, eight certified genetic counselors, and 26 students were asked to organize a…

Describes five studies in which the learning and transfer abilities of two- and four-year-old children were examined on a task that required them to combine two separately learned solutions to reach a goal. (HOD)