This article offers specific strategies to diagnose and remediate difficulties students may have in learning multiplication facts. Analyzes strategies students use to go from a known fact to an unknown fact. The point is made that, for many students, the order of interpretation of a number fact may affect accuracy. (DB)

Panoramic scanning is the capacity to perceive, interpret, and appreciate complex problems from a big-picture vantage point. Barriers to panoramic scanning (sensory bombardment, superficial polarized thought, and tunnel vision) and facilitators (broad interests and knowledge, pattern finding, and connection-making skills) are identified. Educators…

This study examined the relationship between adaptive functioning and intellectual functioning in 18 children with autism and mental retardation and 20 children with mental retardation. The children with autism showed significantly more impairment in adaptive behavior composite scores, verbal reasoning abilities, socialization skills, and…

Examined children's ability to settle causal relations and their capacity to make conclusions based on certain experiences and representations. Found that preschool children have a solid explanatory basis for their everyday life, within which facts are not generally accepted but are interpreted through a certain "logic," and the motives…

A study involving 31 adults with Down syndrome investigated their ability to reason. Results found they did not differ from typically developing children, matched on expressive and verbal ability, in transitivity and non-verbal analogical thinking; however, they did differ in categorical reasoning, classical verbal analogies, and short-term…

Examines the usefulness of the Salience Imbalance Theory of metaphor processing to aid in understanding how children comprehend metaphors in written text. Supports the prediction that the measure of salience of features is affected by the topic order and vehicle (asymmetry), but also reports children's responses not explained by the theory. (KEH)

Compares two approaches to the teaching of mathematics, rote versus reasoning. Discusses the way to teach mathematics as reasoning in elementary classroom as stated in the NCTM Standards. (YP)

Explores intellectual discussion through interviews with 20 faculty and graduate students at a large U.S. state university. The article describes the following: the study's dilemmatic framework; the interview materials and discourse analytic method; and three sets of contrary beliefs about appropriate communicative behavior in intellectual…

Scientific reasoning of four elementary age students with mild mental retardation was investigated using structured interviews during tasks involving properties of air and electricity. Discourse analysis was employed to describe students' preconceptions about the natural world and how those preconceptions might be influenced by empirical evidence.…

Quantitative literacy for students with deafness is addressed, noting work by the National Council of Teachers of Mathematics to establish curriculum standards for grades K-12. The standards stress problem solving, communication, reasoning, making mathematical connections, and the need for educators of the deaf to pursue mathematics literacy with…

Studied high school and university students' use of mental representations in reasoning, and the developmental progression of their reasoning with concrete and abstract content. Reasoning was more difficult with abstract content. Abstract problems followed by concrete ones led to reduced concrete problem performance for high schoolers but not for…

The study examined methods of mathematical problem solving with 34 gifted and 34 average Dutch 10 year olds. Typical questioning protocols are diagrammed and results tabulated. Preliminary findings suggest the potential value of explicit teaching of advanced mathematical problem-solving skills to pupils of average ability. (DB)

Shows that the construction of mental representations that capture a situation based on the comprehension of a diagram are mediated by the possession of appropriate background knowledge. Indicates that background knowledge deficiencies may make it difficult for beginning students of a domain to construct suitable mental representations from…

Three third graders with a history of low achievement in math were first given verbal (abstract) instruction in solving word problems. Students were then introduced to manipulatives instruction using Cuisenaire rods to set up word problems. Students exhibited immediate and sustained improvement on subsequent probes administered without…

Offers a theoretical account of moral rationality within a rational constructivist paradigm examining the nature and relationship of rationality and reasoning. Suggests progressive changes through developmental levels of moral rationality. Proposes a developmental moral epistemology that accommodates moral pluralism to a greater degree than does…