Investigates the effects of two context variables on the performance of seventh-grade students on a qualitative and numerical proportional reasoning test. Explores the nature of the relationships between rational number skills, qualitative reasoning about ratios, and numerical proportional reasoning. (Author/YP)

College students were assigned to either dyadic or individual problem-solving conditions and were given a series of formal operational tasks. Dyadic subjects solved more problems during the interaction phase than did individual subjects. Among dyadic subjects, interactions were associated with problem solving and pre-to-posttest gain scores. (BC)

Describes a study that investigated probabilistic intuitions held by students (N=98) from grade 7 through college through the use of a questionnaire. Of the misconceptions that were investigated, availability was the only one that was stable across age groups. Contains 20 references. (DDR)

Provides examples of if-then and combinatorial reasoning situations that have proved successful with college students and can be used with secondary school students. Proposes that practice with these problem solving processes can eliminate the need to memorize formulas that students may not understand. (ML)

Twenty-nine children with learning disabilities (LD) in grades 2 and 4 through 7 were compared with children without LD for their development of proportional structures of thought. Significantly fewer children with LD had constructed second-order logical structures necessary to act on problems using multiplicative and preproportional reasoning.…

Assesses the role of science topic instruction combined with logical reasoning strategy instruction in teaching high school students about blood pressure problems. Reports positive effects of the combined instruction compared to science topic instruction. (Author/YP)

Discusses a study that examined which reasoning patterns are necessary for success in high school chemistry. Based on student (N=170) scores from the "Classroom Test of Formal Reasoning," it was revealed that students who use formal reasoning patterns are capable of greater achievement in chemistry. (ML)

Investigates the relationship between the strategies used by preservice elementary teachers in geometric problem solving and two primary mental abilities--spatial visualization and formal reasoning. Reports that the two abilities were related to problem-solving performance, and the strategies used were related to achievement in the geometry…

Discusses a study which compared differences in ratio construction made by high school freshman and junior students. Reports that more freshmen than juniors selected solutions involving one variable, whereas juniors chose solutions that coordinated two variables in a mathematical or verbal rule. Reviews implications in problem solving and concept…

Investigated were the relation between functional M-capacity and student performance in solving chemistry problems of increasing M-demand. Student performance decreased as the M-demand of the problems increased. (Author/YP)

Determined was the effect that cooperative groups heterogeneously based on proportional reasoning ability have on problem solving in regular and honors high school chemistry. Characteristics of successful and unsuccessful problem solvers individually and in groups are discussed. (KR)

A study in which Logo programming was used to teach problem-solving skills to fourth to eighth grade students is described. The results, and their implications for further use of the computer to teach higher order thinking skills, are discussed. The possible use of Prolog programming to teach reasoning skills is described. (JL)

Reviews the neural modeling principles of learning, perception, cognition, and motor control, discusses their applications to sensory-motor problem solving, and explores possible relationships between that pattern of problem solving and aspects of higher order formal operational problem solving. Cites implications for science education. (ML)

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)

Investigates gender differences and the role of spatial visualization in problem solving in high school geometry. Reports that, whereas males and females differed in spatial visualization and in their performance, they did not differ in logical reasoning ability or in their use of geometric problem-solving strategies. (Author)