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)

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)

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…

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)

This paper describes a study designed to investigate the development of scientific reasoning or logical thinking patterns of South Korean secodary school students. The scientific reasoning or logical thinking patterns were categorized into patterns of logic such as seriation, combinations, proportion, control of variables, probability, and…

Analogies and examples from student's experiences are frequently cited as important to teaching conceptual material. This study was conducted in order to explore the effectiveness of an analogical teaching technique, which uses a connected sequence of "bridging" analogies, compared with a more standard teaching-by-example technique. The…

Describes a study which was designed to determine the effect of a 25-hour introductory qualitative analysis course on high school students' understanding of formal concepts related to electrolytes. Suggests that introductory concrete experiences better prepare students to deal with more formal abstract concepts. (TW)