Some easy-to-state number properties are suggested as the subjects of proofs that are readily understood and interesting to pupils. (MP)

The use of graph paper to outline arrays of multidigit multiplication problems is promoted. (MP)

The need to establish links between what is currently being taught and earlier work, later work, other topics, and other subjects is promoted. Links between number inverse and symmetry are described. (MP)

The use of folding paper strips as a mathematical model in the instruction of operations with fractions is presented. (MP)

This discussion concerns itself with difficulties encountered by students in multiplication and concludes that when children understand a problem they can usually solve it. (MP)

Describes six key practices vital to a problem-centered instructional approach to number sense and computational strategies. Also presents actual classroom examples of strategies. (AIM)

Mental arithmetic strategies were studied with 91 Dutch third graders who computed by splitting off 10s and units in both numbers or counting by 10s up or down from the first unsplit number. Results reveal flexibility in changing between and within strategy use. Implications for instruction are discussed. (SLD)

Described is a study designed to extend a theoretical model of children's progression from a perceptual to an abstract concept of number. The implications of this research for the design of mathematics curricula are discussed. (CW)

What is number sense, why it is important, how it is taught, and how it is measured are each discussed. Examples with concrete materials, calculators, and pattern recognition are included. (MNS)

The focus is on number sense in which students use the language, concepts, and operations of mathematics to find the desired numbers on a hundred chart. Worksheets for levels one-two, three-four, five-six, and seven-eight are included. (MNS)

Briefly presented are suggestions on using exercises in number patterns in second-year algebra and factoring quadratics in a 10th-grade enrichment class. (MNS)

Research findings on decimals and money are briefly summarized, followed by suggestions for classroom use. (MNS)

Stimulus control technology was used to instruct seven students in grades five and six who demonstrated difficulty with fraction ratio and decimal relations. Students were trained to match pictorial representations of fractions to printed counterpart fraction ratios and to match printed decimals to pictorial representations of counterpart…

Shares a coded version of the number line to provide concrete experiences for learning abstract concepts. Using the fundamental theorem of arithmetic, appropriate coded symbols are determined for the prime factorization of each natural number and used to study the concepts of greatest common divisor, least common multiple, square roots, and…

Presents number loop pattern activities and games designed to interest elementary students in mathematics and encourage computational skills. The activities work as games and cooperative activities and invite math exploration. (SM)