This handbook is part of a series of three, corresponding to the three grades (4, 6, and 8) at which Mastery Tests are administered. This publication was written as a resource for teachers developing mathematics programs for students in grades 4, 5, and 6. The Mastery Test in Mathematics at Grade 6 assesses student performance for 36 instructional…

This document provides a description of the competitions involved in the Mathematics Olympics held in the Springfield Public Schools (Missouri). It provides descriptions of the team events (which involved a scavenger hunt, computers, and computations) and the individual events (which involved applied geometry, calculators, conversion from ratio to…

This document contains a workshop presentation for elementary mathematics teachers. The purpose of the workshop is to demonstrate methods for teaching computational concepts beginning with concrete materials and moving to expressing these concepts abstractly with numerical symbols. Section headings are: (1) "Introduction"; (2) "Sorting and…

This is volume 1 of the series of translations of books from the Soviet literature on research in the psychology of mathematics instruction and on teaching methods influenced by the research. An introduction on Soviet education and mathematics education is provided. The purposes of this volume are to show how instructional media should be…

This paper examines sixth-grade children's thinking related to solving ratio and proportion problems before these children had received any instruction in the domain. It explores unitizing and norming, one of the processes identified by both content analyses (Behr, Harel, Post, & Lesh, 1990); Harel, Behr, Post & Lesh, 1990) and research in…

A collaborative effort among teachers, mathematics specialists, administrators, representatives from local industry, and college and university faculty produced the complete revision of the Leominster Public School System (Massachusetts) mathematics curriculum. This document provides an outline of the complete K-12 mathematics curriculum,…

The materials described here represent the conversion of a highly popular student workbook "Sets, Probability and Statistics: The Mathematics of Life Insurance" into a computer program. The program is designed to familiarize students with the concepts of sets, probability, and statistics, and to provide practice using real life examples. It also…

This middle school mathematics unit is organized around themes relating to sports activities in the Boston (Massachusetts) region and has a content focus on decimals and percents. The activities follow a story line which features a sports reporter (the student) and his/her assignments and adventures. Each activity begins with a headline, defines a…

This document has been prepared to help teachers and administrators in New York plan and execute a mathematics program for grade eight. The syllabus is designed to improve the problem solving abilities of students, while continuing a natural development of mathematical skills and concepts. Problem solving situations are emphasized in each of seven…

This document contains the course syllabus and 12 independent practice modules for an introductory college algebra course that requires some previous knowledge of algebra and the ability to work at a rapid pace. Topics include the basic operations with signed integers; fractions; decimals; literal expressions; algebraic fractions; radicals;…

Research on mathematics instruction is reviewed in order to respond to two questions: (1) Has the influx of talented people who have entered the mathematics instruction field over the last three decades changed anything? and (2) Will any of the work being done actually improve mathematics instruction? The different ways in which parents, students,…

This guide provides instructional strategies and activities for improving measurement and geometry skills. In the introduction, the importance of measuring skills, the history of measurement, and instructional approaches are discussed, and a table matching activities with requisite skills is presented. The 16 activities include such topics as…

This booklet provides a comprehensive directory of mathematics tests that are available in the United States and Canada to help educators and researchers meet their evaluation needs. The tests are listed in the order of the educational level for which they were designed and then by subject matter within the level. Sections included are: (1)…

This document reports on a study into the relationships between cognitive preferences, achievement, and ethnicity of first year algebra students. The sample consisted of 175 students from two high schools in the Denver (Colorado) metropolitan area. The two schools were chosen because of the diversity of ethnic groups in the student populations.…

This document is designed to help the user recognize problems which can be solved by use of the exponential function, to show a wide variety of such problems, and to teach how to actually solve them. The material is divided into five individual units, numbered and labeled as follows: 84-Recognition of Problems Solved by Exponential Functions;…