The need to provide understandable problems and ways to help children understand problems are explored. An interview with a sixth grader depicts his incorrect strategies and leads to suggestions for teaching problem solving using a range of mathematical models for each operation. (MNS)

Solutions to addition and subtraction word problems were studied in a three-year longitudinal study that followed 88 children from grades one to three. They solved problems using a variety of strategies before formal instruction and used invented strategies several years after formal instruction. Four levels of problem-solving ability were found.…

Based on a synthesis of the literature, a model for problem posing cognitive processes was formulated, and validated. The major constructs incorporated in this framework were the situations in which problem posing occurs. For each situation, four cognitive processes were established: the editing of problems based on iconic or symbolic stimuli, the…

The focus is on the metacognitive awareness of ten high-achieving high school pupils from Denmark and England and their cognitive learning process. Un-structured interviews in smaller groups investigates how they say they learn a mathematical concept that is new to them. I develop the "CULTIS model for analysis" (Consciousness,…

This study examined the effectiveness of a conceptual change teaching strategy over the traditional method on high school students' (N=152) attitudes towards learning biology. The study employed a two-group experimental control design. The experimental group was taught using a conceptual change teaching strategy. A 21-item instrument that is…

This paper addresses components of a 3-year longitudinal study in which 9th and 10th grade students in Australia, Canada, and Zambia participated in data-handling programs through networked learning communities. Of interest here are the students' responses to a selection of "ends-in-view" problems, which formed the major part of the…

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)