Two studies used a modification of the weakly interpretive scoring method of Langford and D'Cruz to examine judicial and legislative reasoning. Findings were in accord with modified versions of Piaget's and Kohlberg's views and contradicted Gibbs' theory. There were three stages of legislative reasoning between 7 and 21 years: heteronomy or…

A study conjectured that individuals make mental models of events when they reason from premises involving temporal relations. Several experiments using school children and university students as subjects found that problems that required one mental model elicited more correct responses than problems that required multiple mental models. (BC)

Studies 6- to 8-year olds' responses to sliced task, standard and choices were discontinuous quantities, and non-sliced task, standard was continuous and choices were discontinuous quantities in order to discover whether children use half boundary in ratio comparisons between continuous and discontinuous quantities. Reveals that "dhalf" plays a…

Presents a study in which some students in grades 3-6 were taught scientific concepts using instructional analogies while others received expository texts not containing analogies. Indicates that students who received the analogical text demonstrated better inferential reasoning than students who received the non-analogical text. (Contains 57…

Introduces a study on primary school children's reasoning about the concepts of probability and choice. Concludes that relatively few children are sufficiently advanced in their thinking about chance situations to be able to see that different chance situations can have the same probabilistic nature. (ASK)

In this article we propose the following definition for advanced mathematical thinking: Thinking that requires deductive and rigorous reasoning about mathematical notions that are not entirely accessible to us through our five senses. We argue that this definition is not necessarily tied to a particular kind of educational experience; nor is it…

The author examined the effectiveness of training in symbolic logic for improving students' deductive reasoning. A total of 116 undergraduate students (approximately equal numbers of men and women) enrolled in 1st-year university philosophy courses in symbolic logic participated in 2 studies. In both studies, students completed booklets of…

A model of conditional reasoning predicted that children under 12 would respond correctly to questions of uncertain logical form if premises and context enabled them to access counterexamples from memory, and that children's performance with uncertain logical forms would decrease when empirically true premises are presented in a fantasy context.…

Proposes a variant of mental model theory which suggests that the development of conditional reasoning (if--then) can be explained by such factors as the capacity of working memory, range of knowledge available to a reasoner, and his/her ability to access this knowledge "on-line." Finds much empirical data explained by this model.…

Asserts that poetry is a basic way for individuals to learn enough about their culture to become a welcome member of it. Offers the views on poetry of several poets. Discusses the benefits of using poetry, rather than logical mathematical thought, to teach students how they view reality. (PRA)

This document sets forth the design of a test of reading comprehension. The exam requires students to read passages of written English text--either literary or informational--and to answer questions about what they have read. In some cases, the questions deal with facts in the text or vocabulary. In other cases, a complete answer requires a clear…

This paper discusses what the theory of abstraction is about, the need for a theory of abstraction in mathematics education, and the requirements that such a theory should meet. All three are reconsidered from a personal point of view. (KHR)

In this paper we report on a research aimed to identify and characterize secondary school students' reasoning and proof abilities when working with 3-dimensional geometric solids. We analyze students' answers to two problems asking them to prove certain properties of prisms. As results of this analysis, we get, on the one side, a characterization…

Describes the use of chess instruction to develop abstract thinking skills and problem solving among gifted students. Offers suggestions for starting school chess programs, teaching and evaluating chess skills, and measuring the success of both student-players and the program in general. (PB)

Surface and relational similarity were examined in two experiments involving isomorphic and nonisomorphic analogical transfer, using direct-mapping and cross-mapping conditions. In the first experiment, third and sixth graders exhibited mapping based on relational similarity more frequently than did kindergartners; in the second, most four- to…