Discusses arithmetic during long-multiplications and long-division. Provides examples in decimal reciprocals for the numbers 1 through 20; connection with divisibility tests; repeating patterns; and a common fallacy on repeating decimals. (YP)

Discusses games using number tablets. Describes general advantages of the games over using pencil and paper. Provides needs, skills, players, rules, and variations for eight games. (YP)

Presents frequently occurring patterns of repeating decimals. Provides a method for completing a repeating decimal with a long period from only a portion of the string. Gives several theorems with proofs. (MVL)

Describes investigations of quick cancellation problems in two-digital integers. Generalizes the results to n-digital integer problems. (YP)

Studies of young children's sequence of development from counting to the beginnings of formal arithmetic are reviewed. Four essential basic skills are identified: use of counting words, enumeration, the cardinality rule, and quantitative comparison. The contribution of counting to the development of arithmetical proficiency is stressed. (JDD)

Discusses classroom activities that involve applications of fractal geometry. Includes an activity sheet that explores Pascal's triangle, Sierpinsky's gasket, and modular arithmetic in two and three dimensions. (Author/MKR)

Discusses important mathematical ideas taken from combinatorics, arithmetic, and geometry which are considered in the context of their development in various societies around the globe, including Hebrew, Islamic, Italian, Mayan, German, and Anasazi work. (11 references) (MKR)

Sixty-four adults were tested on simple addition and multiplication problems presented in Arabic digit or English number-word format. Overall, response times and error rates were much higher with the word format, but more important, presentation format interacted with arithmetic operation and problem size. (DR)

Investigated elementary school students' responses to two user-computer interfaces while the students solved basic arithmetic problems. Interfaces involved users' direct manipulation of images or interpretation of symbols. Data indicated that students were more comfortable and solved problems more quickly when manipulating images than when…

A method is presented and illustrated for simultaneously generating multiple tests with similar characteristics from the item bank by using binary programing techniques. The parallel tests are created to match an existing seed test item for item and to match user-supplied taxonomic specifications. (SLD)

The alleged persistence of first-language dominance for arithmetic operations in bilinguals was investigated. Thirty-two Japanese-English bilinguals aged, 19-58, years solved arithmetic problems presented auditorily. Reaction time varied for short-term and long-term U.S. residents. (16 references) (Author/LB)

Presented are findings from a comparative study involving five developing nations and a longitudinal study of these nations concerning the educational transition between lower and upper secondary school. Results of these studies are discussed with reference to the educational policies of the countries involved in the study. (Author/CW)

Constructs a corrective learning system using the Socratic dialogue as a guide to correct mistakes in students' knowledge of subtraction. The Socratic dialog applies a dialectic method to present questions to the student and lets the student reconsider his or her own thinking. Results show that the Socratic-dialog approach is of great help to…

Discusses how teachers can infuse culture into the curriculum and develop students' competence and confidence by using ethnomathematics. Examines the mathematics of the Mayan civilization. Contains 22 references. (ASK)

Examines the concept of number sense in mathematics learning, compares this concept to that of phonological awareness in reading, and urges application of existing research to improving mathematics instruction for students with mathematical disabilities. Reviews research on building automaticity with basic facts, adjusting instruction to address…