Mathematics games are often used in the classroom as a reward or warm-up activity before the "real" learning takes place. Many teachers have witnessed how useful games are for tuning-in students to the impending mathematics lesson. However, have teachers considered playing games as the central part of the lesson? This article explores…

The author recently read a research paper by Padberg (2002), in which the development of understanding associated with decimal fractions was studied. Padberg (2002) outlined the situation that existed in Germany, where students were introduced to decimal fractions in the sixth year of school. He claimed that it was assumed students would have a…

This study investigated the effects of second language (L2) proficiency and task-induced cognitive workload on participants' speech production and retention of information in an environment designed to simulate the demands faced by pilots receiving instructions from air-traffic controllers. Three groups of 20 participants (one…

Usiskin takes another look at fractions, years after writing the article "The Future of Fractions" for "Arithmetic Teacher".

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…