Demonstrates the use of hexagonal dot paper in integrating algebra, geometry, and trigonometry within a single problem-solving setting rather than treating them in isolation. Suggests other related mathematically challenging activities for enrichment. (AIM)

Shows how to find an equation in one variable whose solution set is a given line segment as well as an equation in two variables whose solution set is a given triangle and its interior. (KHR)

Develops a method for visualizing the complex roots of a polynomial equation. Illustrates some quadratic or cubic polynomials and their solutions. (KHR)

Describes an activity in which students roll balls down a ramp to measure the distance rolled under varying conditions. (Author/YDS)

Describes some interesting features of the book "Sumario Compendioso," first written in North America so that others can use it to enrich their classes and forge links between mathematics and other subjects. (KHR)

Shares the results of some of the algebraic-thinking pattern problems presented in "Principles and Standards for School Mathematics." (KHR)

Describes an instructional sequence that promotes student understanding of a coordinate system while simultaneously facilitating understanding of linear relationships. (Author/NB)

Explains how middle school mathematics topics are often taught as separate, discrete topics without a unifying thread. Discusses the importance of proportionality as a concept with the potential to untie, relate, and clarify many important, complex middle grades ideas into a cohesive theme. (YDS)

Describes students' generalization strategies and justifications as they engage in patterning activities. (YDS)

Uses concrete models to teach conventional algebraic topics with emphasis on connections to other mathematical concepts such as notion of variable, number properties, and geometry. (Contains 10 references.) (YDS)

Investigates and explores questions and activities related to using a calendar. Students explore number sense and operations, logical reasoning, data analysis, probability, and algebra. (Author/NB)

Investigates and explores questions and activities on pets. Students explore number sense and operations, logical reasoning, data analysis, and algebra. (Author/NB)

Describes a method for teaching Euler's line, the co-linearity of the circumcenter, centroid, and orthocenter of a triangle. Discusses teaching results. (KHR)

Describes how students develop proportional reasoning through problem solving. Identifies the essential components of proportional reasoning and includes recommendations for instruction. (YDS)

Describes the use of paper folding to create a rich environment for discussing algebraic concepts. Explores the effect that changing the dimensions of two-dimensional objects has on the volume of related three-dimensional objects. (Contains 13 references.) (YDS)