Discussed are students' understandings of the relationship between fraction and decimal interpretations of rational numbers, where both interpretations are represented symbolically. The methodology employed in this study, interviews, results, and a discussion of the implications of the results are presented. (CW)

The NCTM Standards regarding whole number computation and computation and estimation are reviewed and explored. Activities for implementing this portion of the Standards in grades K-4 and 5-8 are suggested. (CW)

Discusses the characteristics of repeating decimals to facilitate the translation of repeating decimals to fractions. Describes the algebraic and arithmetic methods for converting the repeating decimal. Illustrates arithmetic operations for n-digit integer. Eight references are listed. (YP)

Discusses a teaching method for multiplication using manipulative materials. Provides examples of the teaching method and activities using individual chalk boards. Two references are listed. (YP)

Explores mathematical methods children use to find answers for themselves. Describes some methods used for multiplication and subtraction problems. (YP)

Concepts of fractions from an adult perspective as well as from a child's perspective are examined. Types of students' schemes for some terms related to fractions are reported. (YP)

Clarifies the relationship between oral reading accuracy and the ability to solve worded arithmetic problems using literature reviews. Discusses the implications of oral reading and lists eight guidelines for mathematics teachers. Thirty-seven references are listed. (YP)

Discusses the generalization of the meaning of multiplication for whole numbers. Presents an example for multiplication of fractions. Provides several diagrams to help improve understanding. (YP)

The 5-stage model of Ross was used to examine the role of instruction in facilitating children's acquisition of place value knowledge. Compares children from 2 samples on 10 tasks designed to reveal their thinking about place value. Discusses implications for theory and classroom. (YP)

Investigates English students' strategies for addition and subtraction problems. Suggests some teaching methods for the results. (YP)

Describes ways to make magic squares of 4 by 4 matrices. Presents two handouts: (1) Sets of 4 Numbers from 1 to 16 Whose Sum is 34; and (2) The Durer Square. Shows patterns which appeared in the magic squares, such as squares, chevrons, rhomboids, and trapezoids. (YP)

Describes five types of activities that elementary school teachers can use to help students understand decimals. These activities use money calculations, base-10 blocks, meter sticks, calculators, and problem solving. Specific examples are provided. (MDM)

Presents preschool and kindergarten teachers with ideas and guidelines for teaching mathematics, focusing on the processes of classifying, comparing, matching, adding, and subtracting in relation to number sets, especially as children encounter sets in play settings. (BB)

Examines the hypothesis that problem comprehension and computational processes interact during the solving of arithmetic word problems. Results suggest the absence of any interaction between the two processes. Questions the notion that automatized retrieval facilitates problem solving, as well as assertions suggesting that increasing computational…

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