Five sets of activities for students are included in this document. Each is designed for use in junior high and secondary school mathematics instruction. The first "Note" concerns magic squares in which the numbers in every row, column, and diagonal add up to the same sum. An etching by Albrecht Durer is presented, with four questions followed by…

Several highly motivating lessons particularly pertinent to the study of mathematics in high schools and the first years of college are presented. These lessons fall into four categories: (1) problems that present a challenge and which are interesting for their own sake; (2) problems based on real situations that can be understood by the student;…

This SMSG study guide is designed to provide assistance to teachers who wish to improve their professional competence by self-study or by group study. The main purpose of the guide is to list and organize suitable references. Topics covered include: (1) algebra; (2) geometry; (3) number theory; (4) probability; and (5) statistics. (MP)

A computer-assisted instruction (CAI) project designed a system to teach the elementary properties of statistical distributions in a probability course. It was used to reinforce teacher material with graphic displays and to provide laboratory exercises, the objectives being to promote easier grasp and retention of subject matter. The system…

Describes the probability and statistics component of an experimental mathematical science and communications program. Some of the successes and failures are considered. (PK)

A collection of student distortions, represented by student-invented variations of theorems, are presented. They were drawn from examination papers of 17-year-old students in Israel. (MNS)

The status of probability and statistics in the current Japanese curriculum is discussed. Data from the Second International Mathematics Study are cited, and the course of study is included. (MNS)

Three questions dealing with hypothesis testing are presented. Activities that can be best worked with calculators as tools are detailed and suggestions for extensions of these problems are given. (MP)

This is the position statement of the National Council of Supervisors of Mathematics describing the essential mathematical competencies that citizens will need to begin adulthood in the twenty-first century. Twelve components of essential mathematics, the learning environment, technology, evaluation, and extension of the essentials are described.…

Analysis of variance (ANOVA), a technique included in many introductory statistics courses, analyzes the relationship between a quantitative dependent variable and one or more independent qualitative variables. The nature of the relationship is expressed in a model with unknown parameters. Many textbooks emphasize the mechanics of the technique…

"Saxon Math" curricula and materials are available for grades K through 12, with the content and skills designed to meet National Council of Teachers of Mathematics (NCTM) standards and various state standards. This WWC report focuses on middle school math curricula, defined as all Saxon Math curricula for grades 6 through 9. The…

This book is written to answer commonly asked homework questions of fourth, fifth, and sixth graders. Included are facts, charts, definitions, explanations, examples, and illustrations. Topics include ancient number systems; decimal system; math symbols; addition; subtraction; multiplication; division; fractions; estimation; averages; properties;…

This volume contains the papers and comments from the Workshop on Mathematics Education, a special session of the 15th Conference on Stochastic Processes and Their Applications, held in Nagoya, Japan, July 2-5, 1985. Topics covered include: (1) probability; (2) statistics; (3) deviation; (4) Japanese mathematics curriculum; (5) statistical…

The material looks at: 1) Choosing a Clinical Test; 2) Evaluation of Diagnostic Tests; 3) Multi-Disease and Multi-Test Analysis; and 4) Medical Decision Analysis. It is felt users will be able to: 1) calculate the predictive value of a positive or negative test result in model clinical situations; 2) estimate the sensitivity and specificity…

The previous theoretical development of the Poisson process as a strong model for the true-score theory of mental tests is discussed, and additional theoretical properties of the model from the standpoint of individual examinees are developed. The paper introduces the Erlang process as a family of test theory models and shows in the context of…