This is the sixth volume of a series produced by the State Education Department of the University of the State of New York. Mathematics objectives and sample items included were originally developed by four local school districts and are not intended to be official or comprehensive, but an aid to teachers in constructing curricula and making…

Presented is a historical treatment of computational devices that use counters on a checkerboard. The discussion includes works of John Napier, Walter Minto, and Nicholas Saunderson. (MP)

The article reports the skill attainment in reading, spelling, and arithmetic for a group of 40 adult males who were diagnosed as dyslexic in childhood. (Author/DLS)

Presents math games for parents to use at home with their children to reinforce math skills taught in the classroom. Areas covered include: sorting and counting; number recognition; shapes; basic skills; measuring; and problem solving. (JMB)

The WISC, Piagetian logico-mathematical and representational space tasks, the Frostig DTVP and a motor ability test were administered to elementary children at 3 age and arithmetic achievement levels to determine whether specific patterns of cognitive and/or spatial development were related to arithmetic achievement and whether patterns varied…

Students participating in a self-paced basic arithmetic remediation course preferred instructional booklets to audiovisual presentations. (STS)

Plastic Easter eggs are useful devices for teaching basic mathematics skills, from counting activities to graphing. Eggs are used to reinforce addition, subtraction, and multiplication skills; column addition, estimation, statistics, and other topics are introduced. Sample activities are described. (JL)

A probablistic approach to classification and diagnosis of erroneous rules of operations that result from misconceptions ("bugs") in a procedural domain of arithmetic is introcuced. Variability of response errors is explicitly treated through item response theory. As a concrete example, a signed-number subtraction dataset is analyzed.…

Discrepancies between ability and achievement were calculated for reading, spelling, and arithmetic for 64 intellectually gifted students in grades four-six. Means were plotted for males and females. While no statistically significant differences were found between groups, females scored closer to their expected achievement levels than males,…

Presents the listing (and documentation) for an arithmetic drill program with color graphics and sound. The program offers simple arithmetic problems illustrated by colorful dinosaurs. A buzzer sounds if an answer is incorrect while a short piece of dinosaur music is heard if an answer is correct. (JN)

Fifteen trainable mentally retarded students (four-six years old) were generally capable of rule-governed and other counting skills, and some could mentally compare numbers and choose the larger. Some Ss demonstrated a basic form of problem solving: they used the addition identity and commutativity principles to shortcut computational effort.…

This article shows that the recognition of the dualities in equality (operator-equivalent) of the minus sign (unary-binary) and the zero (nullity-totality) during the transitional process from arithmetic to algebra by 12-13 year-old students constitutes a possible way to achieve the extension of the natural number domain to the integers. (Contains…

This paper provides some guidance as to what to listen for to help students make sense of expressions in ways that connect to their ideas and honestly address the mathematics of rational numbers. It offers a reasonable initial answer to the question, "Where do students' ideas about fractions and ratios come from, and how can we work productively…

When students confront arithmetic or algebraic word problems, they develop ideas and notations during the processes of solving them by using various arithmetic strategies. Those ideas and notations are the basis for solving that type of problems. Is it possible to aid the development of students' algebraic thinking during their transition from…

This textbook's goal is to train and develop the mind by means of the science of numbers. This work is designed both for primary and advanced classes. The first part is adapted to beginners, while the latter part is peculiarly fitted to give to the more advanced student that thorough mental drilling in the analysis of numbers, which furnishes the…