Use of sign language for numerals is used to teach basic facts. Counting is first described, followed by sections on addition and subtraction facts and on reinforcing activities. (MNS)

The results of exercises related to fractions on the National Assessment of Educational Progress (NAEP) for 9- and 13-year-olds are reported. This discussion is followed by suggestions on ways to help students be more successful when adding fractions. (MP)

Patterns generated by the set of natural or counting numbers are discussed. Included are quartic, odd, square, and triangular numbers. (MK)

The article describes the process of teaching abacus to moderately retarded blind students as a means of developing concepts of numbers, addition and subtraction, and money values. (Author)

Analyzes a teaching experiment conducted within the context of teacher education designed to support preservice teachers' understandings of place value and multidigit addition and subtraction. Analyses of the teaching ex-periments document the learning of the preservice teachers and how that learning was supported by initial conjectures grounded…

Introduces a toy, the Educated Monkey, developed to help students learn multiplication tables and associated division, factoring, and addition tables and associated subtraction. Explains why the monkey works and reviews geometric, algebraic, and arithmetic concepts. (KHR)

Reanalyzes data obtained in 1987 on mental calculation strategies used by 11-year-olds in England, Wales, and Northern Ireland. Classifies mental strategies developed in the past decade in international research. Compares frequency and effectiveness of the strategies used by pupils of different levels of attainment. Discusses basic arithmetic…

Discusses ways to incorporate language into the teaching of mathematics and involve students more fully in mathematical processes. Describes classroom teaching practice with and without writing. Lists 11 references. (YP)

This article reviews briefly some of the research related to the development of automaticity for recall of basic math facts, reports on a research project with six fourth- and fifth-grade students, and gives teaching suggestions for the development of automaticity. (PB)

Seventy-seven children (ages 5-13) with mild to moderate mental retardation were presented with addition problems. The patterns of strategies used were found to be similar to those used by intellectually normal children, though counting-on and memory strategies were used by subjects with greater frequency. Strategies became more sophisticated with…

Illustrates the multiple strategies used by second graders to solve a problem with three addends and how their teacher tries to map their thinking into the system of mathematical notation. Describes the American Federation of Teachers' Thinking Mathematics program that the teacher uses. (MKR)

The errors and strategies made by students who consistently use the incorrect-addition strategy on "hard" ratio tasks were investigated. The characteristics of these "adders," such as awareness of noninteger multiples, the use of fractions and decimals, awareness of both within and between ratios, and distinguishing nonratio…

Discusses the contributions in each chapter of the book, highlighting the textbook analyses for each arithmetic topic presented. (MDH)

Six fifth-grade children participated in a four-day teaching experiment on complex additively structured problems to investigate difficulties in concurrently holding in mind situations in which items play multiple roles. Difficulties included distinguishing take-away difference from comparison difference and indirect evaluation of an additive…

Discusses the use and construction of "fact fans," fun and easy-to-make manipulatives that provide elementary school students with the opportunity to explore mathematics operations being studied in the classroom and to practice addition, subtraction, multiplication, and division facts. (BB)