Presents five small group tasks for upper elementary students to find arithmetic averages. Provides worksheets for each task. (YP)

Discusses the concepts of fractals, fractal dimension, and the generation of fractals in LOGO. Provides diagrams of several fractals and their LOGO programs. Lists eight references. (YP)

Describes the stages of a process of reflective thinking. Investigates how geometrical models can be used in learning and teaching mathematics in connection with the process. Identifies two models for children of age four to eight: constant path in the space of shapes and continuous path of varied polygonal shapes. (Author/YP)

Summarizes a reanalysis of the data from an investigation of a test designed to measure a learning sequence in geometry based on the work of van Hiele (1986). Discusses the test based on the Rasch model. (YP)

Uses pentominoes to examine the concepts of congruence, similarity, transformations, tessellations, networks, perimeter, area, and volume in a problem-solving, cooperative learning environment. Discusses the construction of three-dimensional pentominoes. (YP)

Describes a course, "Mathematics and the Environment," for liberal arts students. The course is designed to motivate students and to demonstrate that mathematical concepts are necessary to understand global issues. Lists some global issues, information sources, and classroom activities. (YP)

Describes how to measure animals pace, stride, and step angle in degrees. Presents cases of measurements for dinosaur trackways. (YP)

Analyzes two transcripts of children's mathematical behavior to observe the nature of recursive levels and interrelationships among them. Describes several levels of the recursions. (YP)

Presents four activities for locating objects in space and on various maps. Included are objectives, directions, extensions, answers, and a worksheet for each activity. (YP)

Examines a variety of mistakes found in published materials and practiced by classroom teachers. Provides examples of mistakes in reading time, place value, price notation, geometry, and language. (YP)

Analyzes error patterns of kindergartners' mental addition task. Eight weeks of computational practice affected the errors of unpracticed combinations on a retest. Seven of 10 children mastered previously unknown combinations involving zero by learning a relationship rather than the practice and memorization of individual facts. (Author/YP)

Illustrates how to draw a regular pentagon. Shows the sequence of a succession of regular pentagons formed by extending the sides. Calculates the general formula of the Lucas and Fibonacci sequences. Presents a regular icosahedron as an example of the golden ratio. (YP)

Describes environments for concretely enacting multiplication and division. Discusses difficulties occurring when students use one of the concrete environments to model situations involving modified environments. (YP)

Discusses a technique for graphically composing functions. Describes three-step composition procedures in two- and three-dimensional rectangular coordinate systems. Provides three examples. (YP)

Describes learning difficulties students may have with the basic notions of linear algebra and three phases of abstraction. Discusses results of a program based on the abstraction process. (YP)