Discusses when to use the computer, paper-and-pencil, or mental-computation procedures. Provides examples of solving problems dealing with roots of polynomial using computer graphing and other strategies. Suggests implications for curricular planning. (YP)

Describes an activity for developing an understanding of the unit rates associated with a proportional relationship. Provides the material, objectives, directions, four worksheets, and answers of the activity. (YP)

Discusses the use of mathematical modeling. Describes types, examples, and importance of mathematical models. (YP)

Investigated are three misconceptions of probability and the differential effect of two activity-based instructional units. Response categories (law of averages, law of small numbers, and availability) are identified. Treatment differences (evaluation or no evaluation) appear to influence subjects' interpretations of the information. (YP)

There may be a social and an intellectual aspect to the process of development of mathematical knowledge. This paper describes quadratic equations as intellectual mathematics and as colloquial mathematics. Provides some historical data. (YP)

Examined factors that influence children's competence in mathematics when they begin first grade. Results indicated that parent education, family economic resources, and parent expectations influenced children's competence. Race and family structure, when considered apart from other variables, were not significant influences. (PCB)

Investigated whether second grade children were aware that dealing without counting was sufficient to ensure equality of shares in a discrete sharing situation. Seventeen children were interviewed after watching a videotape of preschooler's actions on sharing activities. (YP)

Discusses the implementation of teaching estimation as portrayed in the NCTM Standards. Presents two instructional examples. (YP)

Presents four activities for the exploration of a balance, mass, the length of the balance arm, and the position of the fulcrum. Provides objectives, directions, extensions, answers, and worksheets for each activity. (YP)

Provides several problems and their solutions for a descriptive statistics course. Included are problems related to measurement, data collection, sample construction, applications, and computation. Discusses the misleading nature of statistics. (YP)

In an effort to reinsert mathematical language into everyday discourse, this article considers the following: an undergraduate early childhood curriculum class, analogical discourse in relation to mathematical language, and the ways in which analogical language aids recovery of the things that bind humankind to the earth and to each other. (IAH)

Presents young children's concepts related to probability grouped by definite, possible, and definitely not. Discusses the teaching methods of the probability concepts. (YP)

Five papers discuss the current and potential contributions of information-processing theory to our understanding of mathematical thinking as those contributions affect the practice of mathematics education. It is concluded that information-processing theories need to be supplemented in various ways to more adequately reflect the complexity of…

Introduces four activities on forming rectangles according to specific directions. Critical reading, experimentation, logical reasoning, and validation of given directions are necessary for accuracy. Provides objectives, directions, extensions, answers, and a worksheet for each activity. (YP)

Discusses a primary teaching method for the concept of negative numbers. Describes some activities for teaching the concept. (YP)