This yearbook sharpens the views of mathematical reasoning and its development at all grade levels. Various perspectives about the nature of reasoning and addresses the many issues and concerns involving mathematical reasoning such as how learners reason in mathematics, how communication promotes reasoning, how teachers gather evidence of student…

The problem-solving strategies used by 10 radiologists and 10 radiology residents during the interpretation of difficult mammograms were examined under two experimental conditions. In the "authentic" condition, standard unmarked mammograms were used. On a second set of the same cases for the "augmented" condition, mammographic…

Hypothesizes that horizontal decalage, or the mastery of one task but not another formally similar to it, is an expected outgrowth of Piagetian theory. (MB)

Review based on a report presented at the International Reading Association, Kansas City, 1969. (AP)

Identified difficulties encountered in spontaneous modeling, as well as strategies, approaches, and language used in this activity. Graduate mathematics students (N=223) were asked to create a mathematical model of a biological process. Their solutions and strategies are analyzed and results described. Significant conclusions for teaching applied…

What is meant by meaningful instruction is discussed in terms of interest and relevance, pseudo-real problems, unconscious reinforcement, stories for symbols, and mathematical mirrors. That mathematics must be talked about with and by children is emphasized. (MNS)

Describes an internship program at Colby-Sawyer College that prepares women for entry-level positions leading to management. The program develops the administrative ability needed to make decisions, solve problems, think logically, apply analytical methods, and understand human relations. (JOW)

Three developments over the past 15 years--our understanding of cognition, new techniques in technical psychometrics, and the computer explosion--form the basis for a proposal for new intelligence tests. These developments are reviewed, and both leaps and steps in intellectual assessment are proposed. (Author/RD)

Investigated development of propositional logic and three formal logical schemata (underlying generic problem solving processes/operations) in adults (N=59) enrolled in their second year of medical school. Two students were formal on the 12-Piagetian tasks used, and the 57 remaining were classified as transitional formal. Implications are…

Uses case examples to illustrate how cognitive-behavioral interventions can be applied to social work situations. Suggests by emphasizing the interaction of personal and environmental realities in influencing change, a cognitive-behavioral perspective of human functioning can provide a useful theoretical framework for direct practice in social…

Examines several possible difficulties in interpreting the results of studies which employ Piagetian tasks, especially conservation tasks, with older individuals. Notes that Piaget's clinical method allows more flexibility in the assessment of competence than do more quantifiable techniques. Examines the possibility of task misinterpretation by…

The roles and uses of symbols in mathematical thinking are discussed. The thinking process is further subdivided into specialization, generalization, and reasoning. (MP)

Some potential difficulties involved in using "real-life situations" in teaching problem solving are illustrated with a racing car problem. The importance of developing mental images and the ability to abstract in the solution process is indicated. (MP)

Geometric matrix problems were presented to 11- and 14-year-olds and adults to investigate latency to solution as a function of number of elements (1-3) and of transformations (0-2) that had to be considered for correct solution. At all ages latencies increased as the number of elements and number of transformations increased. (Author/DB)