Describes the Circle Scribe Disk Compass and explains its use in helping children to explore patterns and geometry. Topics include Fibonnacci's spiral and regular polygons. (MM)

Provides some examples of mathematics problems that have solutions involving triangular numbers. Illustrates the observation of number patterns from which conjectures and generalizations can be made. Suggests other extensions for further investigation. (ASK)

Investigates ways to analyze change in various contexts. Focuses on computer technology providing contexts for children's investigations of patterns of change and helping to develop foundational ideas of algebra and calculus. Discusses relationships between patterns of change, fundamental algebraic notions as linear and nonlinear functions, and…

Describes how classification came alive in a third grade classroom as children searched for rules or properties defining the five Platonic solids, then constructed a precise definition to classify these solids. (ASK)

Describes a project that features a video in the form of a documentary built around a series of six case studies in mathematical thinking: geometry, number, measurement, algebra, chance and data, functions, and calculus. Chooses an example from each area to illustrate inductive and deductive thinking-patterns and proof. (ASK)

Describes a mathematics lesson using digital sums that allows teachers to assess third grade students' understanding of reasoning, arithmetic, and geometry. (ASK)

Suggests ways early years educators can begin teaching young children to think algebraically and prepare them for success in algebra. Focuses on ways to promote mathematical patterns, mathematical situations and structures, models of quantitative relationship, and change. Describes how first-graders used real object representations to better…