Presents an activity that concerns children's reasoning about counting from the perspectives of informal mathematics, work center mathematics, and cardboard box mathematics. (ASK)

Discusses how dice games pose fairness issues that appeal to students and examines a structure for three games involving two dice in a way that leads directly to the theoretical probabilities for all possible outcomes. (YDS)

Describes how young children used geometric shapes to model a fair playing space for "Mother, May I?" (Author)

Discusses a game that helps students develop and understand fraction concepts and operations. (Author)

Highlights activities that develop conceptual understanding of mathematics topics. (Author/YDS)

Presents a new problem for students and discusses the results of a previous one. (Author/YDS)

Presents responses to the Painting Tiles problem. (Author)

Uses the Paper Balloon origami form to help students discover the relationship between ratios of corresponding distance, area, and volume measures in similar solids. (YDS)

Describes how a stock market simulation can be an excellent tool for motivating students to learn real-world mathematics in a middle school classroom. Details four activities that can accompany the simulation. (Contains 12 references.) (YDS)

Shows how sequenced learning activities can help students build conceptual bridges from arithmetic to algebra. Focuses on understanding equivalent algebraic expressions, an area in which U.S. students scored poorly on the Third International Mathematics and Science Study (TIMSS). (YDS)

Explores the real-life mathematics found in racing. Includes a worksheet. (YDS)

Introduces the concept of function using graphs or pictorial representations of functions. Presents four activities for grade levels 8-14 that use the natural progression from qualitative graphs to quantitative graphs to tables to equations for introducing the theme of distance from an object as a function of time. (Author/NB)

What initially appears to be a standard maximum-minimum problem presents, with a particular independent variable, a wealth of calculus and algebraic subplots. Uses graphing calculator technology to reinforce the "pencil and paper" solution and open the problem to lower level mathematics courses. (Author/NB)

Uses a life-sized number line to helps students visualize number relationships. (Contains 45 references.) (YDS)

Presents an activity in which students explore properties of quadrilaterals using geoboards. (YDS)