Many students encounter difficulty in their transition to advanced mathematical thinking. Such difficulty may be explained by a lack of understanding of many concepts taught in early school years, especially multiplicative reasoning. Advanced mathematical thinking depends on the development of multiplicative reasoning. The purpose of this study…

This article explores relationships between designing and making in the work of children within the age range 5-11 when engaged in practical modelling tasks. The notion of the model is explored from the perspective of concrete representations. It is suggested that concrete models may be used as hypotheses from which to test ideas about the nature…

One of the most challenging daily experiences of teaching young adolescents is helping them transition from Piaget's concrete to the formal operational stage of cognitive development during the middle school years. Students who have reached formal operations can design and test hypotheses, engage in deductive reasoning, use flexible thinking,…

This report describes a program for developing and improving critical thinking skills in adolescents in order to prepare them for life-long learning. The targeted population consisted of high school math and social studies students from two middle-class communities located in northern Illinois. The students' lack of critical thinking skills was…

The constructivist hypothesis that the acquisition of domain-specific conceptual knowledge (declarative) requires the use of general procedural knowledge was tested. Students (n=314) were classified as reflective, transitional, or intuitive thinkers and presented with four concept-acquisition tasks. Skill in hypothetico-deductive reasoning…

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)

Presented is a study in which students' intellectual reasoning development was evaluated following instruction that emphasized formal operations in a traditional lecture format. Results indicated that formal-operational students had significantly more success in the three reasoning areas than transitional students and transitional students had…

Seventeen college undergraduates, possessing either basic or consolidated formal operations, received eight weeks of interpersonal skills training and pre- and posttraining assessments of social perspective taking and moral reasoning. Gains in moral reasoning were related to subjects' possessing prerequisite cognitive and perspective-taking…

Reasoning abilities of Cypriot 12th graders in five forms of formal logical thought were studied in relation to academic achievement and gender differences. Results support proposals that suggest that there are specialized abilities dealing with specific domains of reality. The five reasoning modes were significant predictors of achievement. (SLD)

Investigated is the ability of high school pupils and university students to answer questions based on relationships within food webs using sound ecological principles. Research methods used and the results of this study are discussed. (CW)

This paper describes part of a study undertaken to examine the relationship between dispositions to critical thinking, procedural knowledge in science, and formal reasoning. Three tests were administered to 346 grade 7 students at the beginning and at the end of the school year: California Critical Thinking Dispositions Inventory, Group Assessment…

The undergraduate liberal arts program is assumed to promote sophistication in thinking. At the same time, certain levels of cognitive ability are assumed to be present in students accepted into selective undergraduate colleges. Beginning in the fall of 1991, a long-term research study was undertaken at a small residential liberal arts college…

Achievement in science depends among other factors on hypothetico-deductive reasoning ability; that is, on the developmental level of the students. Recent research indicates that developmental level of the students should be studied along with individual difference variables such as Pascual-Leone's M-capacity (information processing) and Witkin's…

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)

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)