Samples of children in English secondary schools were given a test on integers, as part of the investigation into children's understanding of mathematics undertaken by the Concepts in Secondary Mathematics and Science (CSMS) project. This is a brief report of the performance of the third-year children. (Author/MK)

An activity is presented which provides a novel approach to number patterns, experience in following an unusual algorithmic procedure, and practice in systematic search techniques and basic facts. (MK)

Provides data incongruent with Piaget's idea of a concrete operational stage. Shows no clear-cut termination of preconceptual thinking and no simultaneous conceptual development in the three content areas (number, space, and time). (Author/RL)

The importance of place value is discussed. Examples illustrating place value in addition and subtraction are given. (MK)

An activity is described in which PI is approximated by measuring the perimeters of regular polygons inscribed in a unit circle. (DT)

In the experiment reported here, dyslexic children are compared with controls in their processing of single digits. The rationale for the present study relates to a concern to identify if there are specifically unique aspects of how dyslexic children process visual information. (Author)

Determining which whole numbers can be expressed as the difference of two squares and which as the sum of two squares forms the basis of two discovery exercises. (DT)

Presents two activities involving number sense in and around the shopping mall. Activities include estimation, measurement, and applications using percent. Concludes that it is appropriate to help students visualize numbers, particularly large numbers, in a context that is familiar and will be constantly reinforced. (ASK)

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…

Suggests guided discovery techniques to help students find the rule by which an arrival sequence of consecutively numbered school buses is considered a "success," and presents arguments by Honsberger for a formula to calculate the number of successful patterns for a given number of buses. (SEW)

Investigated relationships between children's fraction concepts and whole number concepts. Four second graders were interviewed four times each over a seven-week period. Findings suggested that the schemes to coordinate units were closely related to how the children understood fractions. (Author/CMS)

Lists some ways that sequences were incorporated into mathematics lessons and explains a teacher's observations about the caliber of thinking and questioning that students develop as they learn appropriate ways to use numbers. Provides a number of questions that have been raised by students and the thinking prompted by a discussion of those…

Elementary number theory is investigated with the main focus on the concept of divisibility and its relation to division, multiplication, prime and composite numbers, factorization, divisibility rules, and prime decomposition. Preservice teachers' responses indicated dispositions toward procedural attachments even when conceptual understanding was…

Describes a study of preservice teachers (N=30) that provides confirming evidence that students usually use two rational number operator constructs. Discusses the cognitive models of the students' strategies and the notational system used as an analytical tool. Contains 22 references. (DDR)

Presents an insightful approach to algebra that enhances both personal and classroom communication through the process of solving a linear equation. (KHR)