Results from the third national mathematics assessment indicate that the decline in performance of 17 year olds between 1973 and 1978 has leveled out over the last four years, and 13 year olds' performance improved significantly between 1978 and 1982. However, most gains were on lower-order skills. (MNS)

The object of this study was to specify the relationship between logical and numerical structures by examining the processes used by operational and preoperational children in solving simple addition and subtraction problems. (MP)

Presents a three-year longitudinal study investigating the development of children's (n=82) understanding of multidigit number concepts and operations in grades one through three by using interview processes. Provides an existence proof that children can invent strategies for adding and subtracting and illustrates both what that invention affords…

Two essays examine the number aspect of mathematics learning for three- to five-year olds. The first contextualizes the research and reviews its progress, focusing on how children learn in contexts where numbers occur incidentally, and on developing appropriate ways of challenging children to solve problems. The second essay presents a case study…

Presents ideas for creating mathematical classroom activities associated with the history of mathematics: calculating sums and products the way ancient Greeks did it, using an abacus or moving stones on a sanded floor, and engaging elementary students through role playing specific mathematicians. Suggests that through such techniques, mathematics…

Traditional methods of teaching addition include algorithms that involve right-to-left procedures. This article describes efficient procedures for left-to-right addition and subtraction involving computation and computational estimation that reflect children's natural behaviors observed during activities with unifix cubes. (MDH)

TORUS, a prototype technology-based educational diagnostic program, is described. The usefulness of TORUS to identify and remediate the mathematics misconceptions of students with learning disabilities is reported. Results suggest the need for greater emphasis on conceptual understanding in mathematics instruction. (Author/DB)

Interprets and contrasts children's mathematical interaction from the points of view of radical constructivism and of Soviet activity theory. Proposes a superseding model based on the interrelations between the basic sequence of actions and perturbation and the interaction of constructs. Supports the model by describing how children used…

Proposes a new model of children's mathematics by composing aspects of the Fraction Project and critiques presented in the same issue. Argues that computer microworlds provide children with dynamic learning environments in which they are the primary actors and teachers with a medium for interact with children's mathematics while trying to maintain…

Recent research demonstrates that many issues related to the structure of natural numbers and the relationship among numbers are not well grasped by students. In this article, we describe a computer-based learning environment called "Number Worlds" that was designed to support the exploration of elementary number theory concepts by…

In this article, the author presents the 12 benefits of playing as a reference and guide for teachers in helping young children develop their cognitive skills, motor ability, socio-emotional, and academic development during play time. The following 12 benefits are described: (1) Play Enhances Bodily Gracefulness; (2) Play Promotes Social Skills;…

This document compiles an "honest list" of what is needed for adult numeracy. The first section consolidates the four posited Massachusetts Adult Basic Education (ABE) Math Standards into three adult numeracy themes: relevance/connections, problem solving/reasoning/decision making, and communication. A discussion of each theme is followed by some…

This teacher's guide is intended for use in helping Kodak Corporation employees develop the basic mathematics skills required to perform the manufacturing and quality control tasks expected of them. The following topics are covered in the first five modules: the four basic functions (adding, subtracting, multiplying, and dividing), calculations…

The purpose of the Chapter 1 Early Childhood Education Program in Portland Public Schools is to provide disadvantaged children the experiences needed to ameliorate the disadvantages resulting from their circumstances. This evaluation report of the 1989-90 school year concludes the program's 18th year of operation. The preschool program consisted…

This three-part guide presents a brief program description along with lists of performance objectives and lists of test items for the Des Moines (Iowa) Public Schools Title I Elementary Mathematics Program. The program description provides background information on the Des Moines Public School District and describes the student selection/screening…