We study here an aspect of an infinite set "P" of multivariate polynomials, the elements of which are associated with the arithmetic-geometric-mean inequality. In particular, we show in this article that there exist infinite subsets of probability "P" for which every element may be expressed as a finite sum of squares of real…

The purpose of this study is to investigate the mathematical literacy of the 15-year-old students in terms of PISA mathematical literacy questions. The research model of this study is the survey model in the quantitative models. The sample of this study was composed of 1.227 students who received formal education in five different types of schools…

For over a decade, research studies of mathematics education in high-performing countries have pointed to the conclusion that the mathematics curriculum in the United States must become substantially more focused and coherent in order to improve mathematics achievement in this country. To deliver on the promise of common standards, the standards…

Commenting on an article by D. Scott, in Mathematics Teaching 52 (Autumn 1970), He present author shows that it is important to know the distribution of error and not just the maximum error. (MM)

A unit on probability and statistics was introduced into 18 ninth-grade general mathematics classes. The effects of this unit on teacher attitude, student attitude, and student achievement in several selected mathematical areas were investigated. The experimental group of 18 classes and a comparison group of 17 classes were tested before and after…

This book is designed to introduce the reader to some fundamental ideas about probability. The mathematical theory of probability plays an increasingly important role in science, government, industry, business, and economics. An understanding of the basic concepts of probability is essential for the study of statistical methods that are widely…

This booklet, one of a series, has been developed for the project, A Program for Mathematically Underdeveloped Pupils. A project team, including inservice teachers, is being used to write and develop the materials for this program. The materials developed in this booklet include (1) the meaning of probability, (2) counting outcomes, (3) mutually…

The materials in these units are designed especially for the low achiever student in junior high school mathematics. These materials are intended to be a source of new ideas for teachers who are trying to encourage interest, enthusiasm, and participation from low achieving students in mathematics. The four units in this collection contain…

This book is intended for middle-grade mathematics teachers who are searching for a wide variety of appropriately challenging and motivating problems with which to supplement regular textbook offerings. The 125 problems presented were found in the "Arithmetic Teacher" from 1975 to 1990. References are given both to the articles that contain these…

This book provides applications for use in the secondary school mathematics curriculum by selecting related articles appearing in the "Mathematics Teacher" during the last 15 years. The articles are grouped into chapters that reflect the main secondary school mathematics courses and categorized by the highest level of mathematics needed…

Since 1982, the National Council of Teachers of Mathematics has published a student periodical five times a year. Each four-page issue focuses on a single theme, developing it from a simple opening-page activity through more challenging extensions at a higher level of understanding. In this document each four-page issue published from September,…

In the spring of 1985, the Oregon Department of Education conducted an assessment of eighth grade students' skills in writing, reading, and mathematics. This report provides results for the mathematics portion of the assessment under these headings: (1) arithmetic skills; (2) estimation; (3) geometry and measurement; (4) application; (5)…

California public schools are changing both how they teach math, and also what they expect students to learn. In December 1997, state leaders adopted new math standards that include more than basic arithmetic skills. The framework lists five areas of math called "strands," that define what students from kindergarten through seventh grade…

This guide is designed to help classroom teachers implement the Alabama Course of Study: Mathematics K-12. It is inclusive also of the objectives tested by the Stanford Achievement Tests and the Alabama Basic Competency Tests. One characteristic of the curriculum guide is that it clearly states what students should learn in each grade level. These…

The National Science Foundation funded Calculators and Mathematics Project, Los Angeles (CAMP-LA) developed curriculum materials focused solely on the use of calculators. The project was developed in three stages. The first stage studied the mathematics curriculums from different states and identified topics that are not included but should be if…