Thirteen to fifteen year-old students from Denmark, Sweden, Italy, United States, Austria, Germany, and Great Britain were the subjects on this study of formal thought processes. Socioeconomic status, sex, and school organization provided additional categorization upon which the subjects were divided. Chi square analysis revealed some differences.…

According to Humean framework, relations are judged to be causal to extent that they are characterized by regularity, continuity, and covariation among college students and college-bound 11- and 14-year-olds. Presents subjects with information about one of the following indices: potential causal factor covaried with effect and potential causal…

Argues that the best way to cultivate children's reasoning is to make philosophy an essential part of the elementary school curriculum. Philosophy alone provides the logical criteria for distinguishing better thinking from poorer. The author's "Philosophy for Children" program is described. (TE)

Children's understanding of Euclidian space was investigated using three Piaget-type tasks to examine the ability of children to quantitatively locate a point in one, two, and three dimensions. Among the findings were that a disagreement exists between Piaget's data and the results of this study. (BT)

This paper discusses ways to use worked examples in teaching mathematics. It is argued that neither investigative teaching such as discovery learning nor lecturing and starting from the abstract are helpful as they are based on emotive associations with general labels rather than precise details of pedagogic strategies. (KHR)

A cross-sectional study examined age differences in children's conceptions of early U.S. history. Students in grades 2, 3, 6, and 8 (n=281) were asked to respond to a question about how the United States became a country. Their essays show significant changes with age. Older students were more likely to include errors of historical fact in their…

Derives two models for conceptualizing figure similarities from Piaget's developmental theory of spatial reference systems. An experiment on a two alternative forced-choice similarity matching task revealed age differences in observer dependence among children and young adults. Concludes that some Euclidian space concepts are achieved as formal…

Comparison of elementary grade students with (N=42) or without (N=42) learning disabilities (LD) on their logical-mathematical structures of thought found that, though both groups generated grouping relationships, children with LD tendered to generate solutions showing less coordinated structures of thought. For both groups, scores on the…

Reports results of 14 studies on children's knowledge about thinking. Suggests that preschoolers appear to know that thinking is an internal mental activity that can refer to real or imaginary objects or events. However, preschoolers are poor at determining when a person is and is not thinking. This shortcoming is considerably less evident in…

This study examined above-grade-level abstract reasoning abilities of 150 students (grades 2-6). Understanding of abstract concepts varied by age for only four of eight subscales or concepts: probability, proportion, momentum, and frames of reference. Performance varied widely within age level for the understanding of volume, correlation,…

Evaluates the thinking of third grade students in relation to an instructional program in probability which was informed by a research-based framework that included a description of students' probabilistic thinking. Reveals that overcoming misconceptions in sample space, applying both part-part and part-whole reasoning, and using invented language…

Studies exploring the transition from early to middle adolescence have found a significant increase in formal-operational thinking, but it is questionable whether the typical adolescent is capable of consistently applying formal operational logic. To examine the relationship between Piagetian-based training techniques and formal-operational…