Discusses how to use calculators in the mathematics classroom. Provides some teaching examples. (YP)

Discusses a number series made from the multiplication of numbers to digits. Presents a number series for diverse multiplication numbers. (YP)

Describes the "Buffon's Needle" problem, which is calculating the probability that a needle will cross one of two separated lines. Calculates the probability when the length of the needle is greater than the space of the two lines. Provides an analytic solution and the results of a computer simulation. (YP)

Describes how to teach the solving of multistep problems without recording the intermediate results. Stresses using calculators having memories and necessary functions. Provides activity worksheets. (YP)

Presents a three-component model of arithmetical development in young children. Applies this model as a basis for analysis of developmental processes in early mathematics learning that may be universal. (RJC)

The advantages of using interviews to diagnose children's needs are discussed. General interview strategies and specific questions for gaining insight into a student's understanding of the four operations are presented. (MNS)

This article discusses techniques for calculating the net worth of prospective college and university donors, explaining how to base a net worth calculation on known statistical averages. It then reviews several formulas for estimating a person's giving ability. (MDM)

The effects of generating versus reading the answers to multiplication problems were studied with 28 2nd graders who had not yet been taught multiplication. Results are explained in terms of a procedural account of the advantage after retention interval for generation. Instructional applications are discussed. (SLD)

A Chinese mentally retarded calendar savant (age 19) was evaluated for his exceptional proficiency in calendar calculation including converting the Gregorian calendar to the Chinese calendar. Results did not support hypotheses of use of eidetic imagery, high speed calculation, rote memorization, or keying-off (anchoring) strategies. (Author/DB)

Fourth grade students participated in mental arithmetic activities for eight weeks. Posttests revealed that the experimental group performed significantly higher than the control group on arithmetic problem solving and arithmetic computation. Females appeared to benefit more from the instructional program than males. (KS)

Examined the relationship between counting knowledge and computational skills for 13 mathematically disabled (MD) first graders who showed a delay in acquiring mathematical skills and 24 nondisabled first graders. MD children's immature counting knowledge and poor skills at detecting counting errors underlay their poor computational skills on an…

Ninety-six eighth and ninth grade algebra students were asked to judge the equivalence of pairs of equations and to justify their responses on the basis of transformations or calculations. Students who gave justifications based upon transformation schemes had a significantly higher rate of correct responses than students who calculated solutions.…

Reviews several student-tested computer software programs for math instruction: Gameco's "Word Problem Square-Off"; "MathKeys" by MECC and Houghton-Mifflin; Davidson and Associates'"The Cruncher"; and Sunburst Communications'"Exploring Mathematics with Technology: Number and Operation Sense." (HTH)

Describes an activity for computing the volume of water in a blanket of snow, focusing on measuring and controlling variables, and then using critical thinking skills to analyze data. (HTH)

Fourth graders' (n=117) solutions to addition problems were analyzed in terms of standard or idiosyncratic written algorithms. Students had not previously been taught pencil-and-paper algorithms. Preference for horizontal layout, working from left to right, and a wide variety of written algorithms were found. (Contains 48 references.) (Author/MKR)