A method is explained for using right triangles on a geoboard for determining the greatest common factor and least common multiple of two numbers. (DT)

An investigator-constructed instrument was given as a pre- and posttest to all elementary education students taking a course on number systems. Findings showed that cognitive improvement occurred. (DT)

The development of proportional reasoning has long been recognised as a central but problematic aspect of mathematics learning. In a Year 6 teaching intervention the part/whole notion of fractions was distinguished from the part: part notion of ratio, and the "between" and "within" relationships in ratio were emphasised.…

Written for all teachers of young children, this book illustrates activities that promote early mathematics development for children ages three to five and "showcases" mathematics for the young child. The thirty-five activities in this book are distributed into five content areas: number and operations, geometry, algebra, measurement, and data…

In the last two decades, mathematics teachers have shown a great deal of interest in how students learn mathematics through journal writing. I have also used journals in mathematics classes for the last five years. Based on the analysis of more than 1800 journal entries written by approximately 200 students in the last five years, I conclude that…

There are two purposes in this study. One is to compare how 7th and 8th graders reason on linear and quadratic geometric number patterns when they have not learned this kind of tasks in school. The other is to explore the hierarchical relations among the four components of reasoning on geometric number patterns: understanding, generalizing,…

Arithmetic is the major focus of elementary mathematics instruction. This book contains a series of lessons designed to meet the goals of place value instruction and give students a rich understanding of how the number system works. Topics include counting larger numbers in two or more ways, recognizing that the number of objects in a group…

This companion database to the Mathematics Comparison Study consists of the entire set of all the general and specific outcomes that were referenced in the report. The database is being released in response to requests made during the review of the draft document in June, 1999, for more information. In the main report, only codings for the general…

What should constitute a preschool mathematics program for children ages 3 and a half to 5 years? What mathematical ideas could youngsters explore? This paper discusses six broad mathematical concepts for investigation by preschoolers: number, space and location, shape, patterns, measurement, and permutations. For each big idea, activities are…

This guide contains classroom-tested problems designed to introduce and reinforce mathematical concepts in a quick, "fun" way. Activities emphasize the logic and reasoning skills needed to build a strong foundation in mathematics. The problems are thinking activities and require only upper elementary level mathematics skills. Activities are…

The Nevada Mathematics Standards provide the framework for a comprehensive K-12 mathematics program and guide curriculum, instruction, and assessment as well as other policies and practices that affect student learning. The standards are intended to serve as a foundation for teachers and curriculum specialists as they create curriculum and adopt…

This assessment sample provides information on the Missouri Assessment Program (MAP) for grade 8 mathematics. The sample consists of three items taken from the test booklet and scoring guides for the three items. The items assess number theory, data analysis, probability and statistics, and patterns and relationships. (MM)

This document outlines the content standards for mathematics in the state of Colorado. The document is organized into six standards, each of which is subdivided into a series of lists defining what is expected of students at each grade level within the standard. The standards relate to number, algebra, data, geometry, measurement, and the linking…

The secondary technical schools of the United States, because of their heterogeneity, present peculiar difficulties to an investigation along the lines laid down by the International Commission. While such schools have existed for many years, it is particularly within the last decade that a great increase in their numbers has taken place, for it…

Discussed is development of a manipulative system which used dots on numerials for teaching basic mathematical concepts to mentally or variously handicapped children in kindergarten through grade 2. (MC)