Reviews an investigation of the effects of problem format and the number of independent variables on the responses of students to a control of variables reasoning task. Results indicate that adding independent variables to a control of variables reasoning problem leads to an overload of working memory which affects performance. (ML)

How children perceive doubling and halving numbers is discussed, with many examples. The use of calculators is integrated. The tendency to avoid division if other ways of solving a problem can be found was noted. (MNS)

Over 600 pupils in grades five, seven, and nine in Italian schools were asked to choose the operation needed to solve 26 multiplication and division word problems. The findings seemed to confirm the impact of the repeated addition model on multiplication and of the partitive model on division. (MNS)

How children can be guided to see and feel the power of thinking with and about mathematical symbols is discussed. A strategy to help them bridge the gap between manipulative models and symbols is detailed. (MNS)

The approaches taken by two elementary school teachers in using computers as tools to stimulate and guide mathematical thinking are described. One had students design a BASIC program for counting; the other used demonstration programs to develop ideas about fractions and decimals. (MNS)

Through examples of both a child's imagination and pretend play activities, demonstrates how a child's imagination is the thinking function that sets the stage for play, while actual play consists of a child's understanding and representation of reality. (HOD)

The purpose of this study was to explore the relationships of certain cognitive variables to problem-solving performance. Cognitive restructuring, spatial ability, reading comprehension, and mathmatical story problems tests presented in a regular verbiage, low verbiage, and drawn formats were given to students in grades three through seven.…

Shows how to use common topics within area studies to develop important social studies skills. The example provided illustrates how to develop data analysis, data evaluation, problem solving, and map skills using the topics of bamboo and the Bhopal, India, chemical disaster. (JDH)

This study assessed the effects of learning logo computer programing and computer-assisted instruction (CAI) on specific cognitive skills, metacognitive skills, creativity, and achievement. The programing group scored significantly higher on measures of operational competence, two of three measures of metacognitive skills, and a measure of…

Discusses changes in conceptions underlying research on individual differences since the 1940s, trends such as the cognitive revolution in psychology and education, and the increase of societal egalitarianism. Argues that current emphasis on the malleability of individual differences demonstrates a need for individualized instruction that…

A test of whether metacognition is a separate factor from cognition was conducted by measuring the effects of metacognitive factors in problem solving, while attempting to hold relevant cognitive factors constant. Learning disabled subjects were less skilled in metacognition with respect to knowledge about cognition and regulation of cognition.…

Prescriptive, decision-analysis of medical problem-solving has been based on decision theory that involves calculation and manipulation of complex probability and utility values to arrive at optimal decisions that will maximize patient benefits. The studies offer a methodology for improving clinical judgment. (Author/MLW)

Seymour Papert, creator of LOGO, explains how he came to create this important problem-solving language and how he intended it to be used to foster learning among children. What children can do with turtle geometry (indicated to be a natural approach to mathematics) is one topic considered. (Author/JN)

Problem solving and justification of a diversified group of two-year college students was compared with approaches of younger pre-college students working on the same task. The students in this study were engaged in thoughtful mathematics. Both groups found patterns, justified that their patterns were reasonable and, utilized similar strategies…

This paper adds to the research studies on prospective elementary school teachers' mathematics knowledge with findings on proportional reasoning. In addition to analyzing prospective elementary school teachers' solution strategies for solving a missing value proportion task, it also examines the nature of the drawings and writing they used to…