This article describes how children learn the basic addition and subtraction facts, why many have difficulty mastering these basic skills, and what teachers can do to prevent or overcome these learning difficulties.

Montessori(TM) Learning Software programs are purportedly built upon the core concept of the Montessori philosophy, that a major path to intellectual development is through a child's hands and senses. Math by Colors, recommended for ages 4 to 8, encourages hands-on discovery by allowing the child to choose the right color from the assembled paint…

This document and accompanying video and audio tapes are designed for children in their first year at school. Each tape contains three items designed to supplement the early stages of learning mathematics: songs, stories, and activities. On each tape there is a story about Farmer and Mrs. Dobbs who live on Honeypot Farm with a varied assortment of…

This book contains activities using a technique that allows students to practice routine arithmetical operations without getting bored. Math Loops is a game in which each student receives a card containing answers to a mathematics question or problem and must listen for another student to call out the question. As the game progresses around the…

This document is a collection of activity-based mathematics lessons for grades K-4 from the "Ideas" department in "Arithmetic Teacher: Mathematics Education through the Middle Grades." Each lesson includes background information, objectives, directions, extensions, and student worksheets. A matrix is included which correlates…

Previous research has suggested that many elementary school teachers have a firmer understanding of addition and subtraction concepts than they have of more complex topics in elementary mathematics, such as division. In this study, (n=24) prospective elementary teachers' understanding of aspects of division involving remainders was explored by…

This book presents mathematics activities to help children talk and write mathematically. Children are encouraged to talk about and share their ideas, to use everyday language to describe mathematical situations, and to restate problems in their own words. There are two sections in this book. Part 1 discusses the following issues and implications…

There are numerous teaching suggestions to offer in guiding pupils to greater achievement in mathematics. This paper suggests that the instructor should begin where the pupil is presently and observe what interests the pupil in learning. Different methods for teaching mathematics such as using blocks, beads, films, filmstrips or slides, a…

The author reviews the history of the Fibonacci sequence and its relation to Pascal's triangle. (SD)

A longitudinal study investigated children's ability to infer, from initial and final relative numerosity information, which of four transformations of a stimulus array had occurred: addition, subtraction, expansion, or contraction. It was expected that performance would reflect a sequence of three levels in understanding the effects of addition…

This book of supplemental exercises is one of a series of books designed to provide educational materials for students in addition to the instructional texts in the Adult Learning Skills Program. Exercises in this basic level book are for the mathematics subject area. Course numbers and exercise topics are: 101 (shapes, sizes, numerals, sequencing…

It has been suggested that males perform better than females in mathematics after ninth grade because more males than females enroll in advanced mathematics courses in high school. However, factors other than enrollment may be involved. Therefore, this study investigated whether the performance of males (B=500) and females (N=500) was different in…

Designed to accompany a series of videotapes, this textbook provides information, examples, problems, and solutions relating to mathematics and its applications in technical fields. Chapter I deals with basic arithmetic, providing information on fractions, decimals, ratios, proportions, percentages, and order of operations. Chapter II focuses on…

This study explored how social comparative information and specific, proximal goals influence children's skillful performance and percepts of self-efficacy in the context of arithmetic competency development. A total of 40 fourth and fifth graders, identified as low-achieving in arithmetic, received instruction in division along with practice…