Describes three approaches teachers can use to help students understand the computation of numbers: calculator explorations, problem solving, and discussion topics. Specific examples are provided for primary and upper grades. (MDM)

A method that enables people to obtain the benefits of statistics and probability theory without the shortcomings of conventional methods because it is free of mathematical formulas and is easy to understand and use is described. A resampling technique called the "bootstrap" is discussed in terms of application and development. (KR)

Presents results from an Australian study examining whether children who use cognitive strategies in solving simple addition questions develop greater proficiency in addition than children who do not use such strategies. Describes the subjects, instruments, procedure, and instructional treatment. Concludes that the development of cognitive…

Presents a problem in which the incorrect application of the Law of Sines leads to an erroneous solution. Demonstrates that the commission of this error by an ophthalmologist using laser trabeculoplasty could lead to patient injury. (MDH)

Presented is a comparison of two major surveys of the teaching and learning of mathematics conducted by the International Association for the Evaluation of Educational Achievement. Surveys indicate that performance levels have declined in computational skills and increased in algebra. (Author/CW)

To investigate mistakes in the reporting of diagnostic efficiency statistics, all studies of the diagnostic performance of self-report scales in two psychological journals published between 1980 and 1991 were reviewed. Of 26 relevant studies, 9 had an error in calculation of diagnostic efficiency. Implications are discussed. (SLD)

Arguing that cognitive development involves both conceptual and semiotic achievements, the authors emphasize the distinctness of semiotic issues and develop a differentiated appreciation of semiotic aspects of cognition, particularly in elementary mathematics cognition. Semiotic analyses are provided of differences between counting, adding, and…

Investigated gender differences in problem-solving and computational strategies used by 44 boys and 38 girls as they progressed from grades 1 to 3. Found no gender differences in solving number fact, addition/subtraction, or nonroutine problems but strong gender differences in strategies used to solve problems. Discusses the use of invented…

Extends a counting activity described in the April 1997 issue of "The Mathematics Teacher" entitled, "The Pyramid Question: A Problem Solving Adventure." In this activity, students must find all triangles with positive integral sides and a perimeter of 36. Considers triangles with perimeters other than 36 for this activity and…

Provides instructions for 23 mathematics learning activities for young children in early childhood settings. Includes activities for ordering, numeral recognition, counting, number sense and numeration, and a list of suggested music, movement, and book ideas for each area. (KB)

Studied racial and sex differences in mathematics performance among elementary school students using data from the 1996 California Achievement Test in Louisiana for 4,670 fourth graders and 2,542 sixth graders. Results show some superiority in computation for African Americans, with the highest performance by black girls. Whites performed better…

Investigated the long-term influence of a longitudinal calculator awareness approach to numbers on British elementary students' mathematical achievements and attitudes. Teacher and student interviews and student test scores from intervention and nonintervention schools indicated that the curriculum had no substantial long-term influence on…

After years of implementing Interactive Math, many California school districts have bowed to parental pressure and returned to a traditional mathematics curriculum. Reforms are catching on in Texas, Ohio, Arkansas, South Carolina, and New Jersey. The white/minority SAT score gap remains wide. The National Council of Teachers of Mathematics 1990…

Examines the idea that the arithmetic calculator can act as a cognitive tool, supporting the amplification or reorganization of systems of thought. Examples were found in which use of the calculator helped pupils work with unusual problem representations and adapt solution strategies in which they focused on planning and monitoring computations…

This study extended use of the One-More-Than technique by using a "cents-pile modification"; one-, five-, and ten-dollar bills; and mixed training of all dollar amounts. Three high school students with moderate mental retardation each learned to use the technique to count out nontrained amounts and to make community purchases. (Author/PB)