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)

Reports on pre-service primary teacher education students' involvement in a number sense program that was a component of a mathematics education unit. Suggests that students develop and utilize multiple relationships among number, attempt to make sense of the mathematics investigated, and provide considered explanations for results achieved.…

Describes generalized Fibonacci sequences that satisfy many elegant identities and possess curious properties. Provides physical applications and connections to various branches of mathematics. (KHR)

Discusses a problem that appeared in the September, 1999 issue of this journal and presents solutions from students in grades 2-6. The question involved using colored cubes rearranged to make different stacked towers. (KHR)

Suggests that the history of mathematics is a fluid field within which lively debate occurs. Shares a math problem that requires a community of scholars to simulate the process by which the history of mathematics is actually developed. (KHR)

Explores the five multiplication techniques found in the 12th century Lilavati by Bhaskara, which appear again in the 1494 Summa by Pacioli. Includes a student worksheet. (KHR)

Presents a classroom activity in which students build and learn to use their own abacuses. Describes the lesson that combines mathematics, art, and social studies. (KHR)

Examines methods and types of estimation. Characterizes fruitful in-class estimation tasks by exploring the validity and possible extensions of "marble jar" estimation. (KHR)

Explores how using a science-themed counting book led to several integrated mathematics and science activities for preschool and second- and third-grade children. (Author)