Presents examples where mathematical and physical reasoning complement each other in interpreting and analyzing some basic science concepts using proof by contradiction and contrapositive. Examples involve the rotation of the moon, the stability of electrons and protons, the electron's orbit about the nucleus, and the earth's liquid core. (MDH)

Features five activities to nurture "number sense," promote practice in mental calculations, and promote student self-confidence in mathmatical operations. These are "hands-off" exercises that are preparatory to calculator and computer use for math. (ET)

Describes the design of a computer-based problem-solving tool for teaching abstraction and classification to elementary school students. The task involves reasoning with attribute blocks. The software keeps a detailed trace of the student's actions, allowing teachers to provide intelligent feedback to the student. Results of a pilot study of the…

Examined inconsistencies in secondary school students' reasoning about the probability concept of equally likely events. Results of two studies suggest that the number of students who understand the concept of independence is much lower than the latest National Assessment of Educational Progress results indicate. (Contains 22 references.) (MDH)

Three experiments using university students explored what constitutes an event and what determines its boundaries. Results supported the hypothesis that sequences of stimuli repeating in different contexts are cut out to become cognitive entities ("things" with a beginning and an end) in their own right. Results suggest that the…

Perspectives that underlie a study of scientific reasoning of elementary students with mild mental retardation (EC 612 096) are provided. Epistemological issues that appear to shape knowledge of special education are addressed, specifically "constructivism" versus "behaviorism" and the relative worth of "constructed" versus "instructed" knowledge.…

Pragmatic and semantic problem solving are examined as processes that enhance acquisition of mathematical knowledge. It is suggested that development of mathematical cognition involves restructuring and that math teachers can help restructure children's knowledge systems by providing them with situations in which semantic and pragmatic problem…

Investigated the effect of problem wording on solving arithmetic word problems by first graders. Found that wording is a crucial component in solving difference problems. Results suggest that further research on word problem-solving processes focus on the interaction between linguistic comprehension and mathematical reasoning. (AA)

This article describes a problem-solving strategy unit to be used as a supplement to the regular mathematics curriculum at the primary level. Specific teaching steps and examples are given for three developmental stages of thinking: (1) concrete, (2) representational, and (3) abstract. (DB)

The cognitive factors that contribute to competence in the biological sciences were examined. The role played by cognitive style and analytical ability is discussed. The ability to abstract relevant information, evaluate it, and use it is affected by the skills of analysis and cognitive style. (KR)

A mapping procedure based on the SOLO Taxonomy developmental model was used to classify the problem-solving strategies of students (n=34) in grades K-2. Only one multiplication problem was used to isolate three components of the problem-solving procedure. (MDH)

Twenty-four sixth-grade children participated in clinical interviews on ratio and proportion before receiving instruction in the domain. Student thinking was analyzed in terms of mathematical components critical to proportional reasoning. Two components, relative thinking and unitizing, were consistently related to higher levels of sophistication…

The Matrix Analogies Test measures nonverbal ability of handicapped and nonhandicapped children, ages 5-17, in a culture-fair fashion. It assesses pattern completion, reasoning by analogy, serial reasoning, and spatial visualization, with a short form available as a screening instrument. This paper describes the test's administration, format,…

This study investigated the effects of prompting, or directing/controlling attention, during a reasoning task on the performance of 68 children with attention deficit disorders, learning disabilities, or no handicaps, in grades 1-12. All groups benefited from prompting, and prompting was related to a different set of cognitive processes in each…

Reports on a study that measured some of the less accessible changes in student attitudes toward the quality of instruction. Students in three history of psychology classes were given a "semiprojective" pretest and posttest. Concludes that student responses increased in level of abstraction, concentrating more on philosophical and general issues.…