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)

Determines which chessboards contain a chromatic rectangle having all four corners the same color for any black-white coloring. Expands the problem to a three color problem. (YP)

Analyzes fifth graders' approaches for solving the problem of the distance to the horizon. Describes determining the area bounded by the horizon. (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)

Discusses developmentally appropriate activities for teaching counting skills for kindergarten and early first-grade programs. Describes four activities: (1) counting on; (2) counting back; (3) auditory patterning; and (4) visual patterning based on the 10-frame. (YP)

Provided are four activities focusing on the application of mathematics to real-world situations: (1) Baby Weight; (2) High Temperature; (3) Skin Weight; and (4) Whale Weight. Each activity contains the objective, directions, extensions, and answers with worksheet. The activities required include the skills of making charts and graphs. (YP)

Presents games for practicing and reinforcing the basic facts of addition, subtraction, multiplication, and division in spite of differences in age and ability. Describes the materials and rules for the games. (YP)

Described is an experiment for investigating the largest area for a given perimeter. Some instructional hints are provided. Eight references are listed. (YP)

The content of the standards focusing on numbers and numeration for grades K-8 are discussed. Several activities for developing number concepts and skills are described. (YP)

The corporation is owned and operated by a group of about 45 eighth graders, who make all the executive decisions concerning the sale of hot dogs and other foods at sporting events in the school. (MNS)

Compares two methods of approaching problem solving in quantitative disciplines. The danger of looking at answers too quickly is discussed. (YP)

The influence of cultural practices on the cognitive development of largely unschooled children was investigated among 23 candy sellers and matched non-vendors between 10- and 12-years-old who resided in northeast Brazil. Findings are interpreted as supporting a model of cognitive development in which children construct novel understandings while…

Compares the cognitive representation of number of 24 American, 25 Chinese, 24 Japanese, and 40 Korean first-graders, and 20 Korean kindergartners. Chinese, Japanese, and Korean children preferred to use a construction of tens and ones to show numbers, whereas English-speaking children preferred to use a collection of units. (RJC)

Notes that vocabulary provides access to mathematical concepts and that several kinds of vocabulary--technical, subtechnical, general, and symbolic--should be taught during each lesson. Gives 13 practical suggestions for planning and implementing math vocabulary instruction. (ET)