This document is a collection of 77 shared teaching ideas from the "From the File" department that appears regularly in the "Arithmetic Teacher." The ideas are reproduced in file-card size and categorized for easy use and handling. This useful source of activities and problems is designed to help elementary and middle school…

This program was developed and implemented to promote higher-level thinking skills and problem-solving skills and to strengthen the understanding of mathematical concepts in second grade students through the use of the Logo programming language. The objectives for this study were that 70 percent of the target students should demonstrate the basic…

The foreknowledge that a given school mathematics problem might have no specific solution or no solution at all affords students the challenge of investing careful consideration in the explicit problem conditions, as well as in the problem's unstated assumptions. Hence, the implication is that mathematics teachers, rather than speaking to their…

This article presentes ethnographic research observations of a project to support the Cleveland teachers' efforts to meet the new standards for mathematics and to empower themselves to make decisions about curriculum. The manner and extent to which the teachers became engaged in the effort to reform mathematics instruction for intermediate level…

This bibliography identifies reports of inferential research on problem solving in mathematics. The listing was developed for use in a synthesis of the research performed by meta-analysis. Guidelines for including studies were applied as follows: (1) the report provided product-moment correlation coefficients and their sample sizes or, in the case…

This workbook was designed as an easy-to-read, slower-paced text for students who have learning, reading, and language problems. As one of five workbooks to aid low achievers in problem solving, it focuses on using estimation to figure out what an answer to a mathematical problem might be. How to estimate using rounding and how to obtain a closer…

To determine whether children's knowledge of arithmetic facts becomes increasingly "automatic" with age, 7-year-olds, 11-year-olds, and adults were given a number-matching task for which mental arithmetic should have been irrelevant. Specifically, students were required to verify the presence of a probe number in a previously presented pair (e.g.,…

This document outlines part one of the third year course of the newly implemented New York State Mathematics Curriculum. The three-year Sequential Mathematics sequence designed by New York State is a move in the direction of fusing the formerly separate topics found in algebra, geometry, and intermediate algebra/trigonometry, and introducing…

This document outlines part two of the third year course of the newly implemented New York State Mathematics Curriculum. The three-year Sequential Mathematics sequence designed by New York State is a move in the direction of fusing the formerly separate topics found in algebra, geometry, and intermediate algebra/trigonometry, and introducing…

The Comprehensive School Mathematics Program (CSMP) is a program of CEMREL, Inc., one of the national educational laboratories, and was funded by the National Institute of Education (NIE). Its major purpose is the development of curriculum materials for the elementary grades. Beginning in 1973, CSMP ran an extended pilot trial of its elementary…

The Comprehensive School Mathematics Program (CSMP) is a program of CEMREL, Inc., one of the national educational laboratories, and was funded by the National Institute of Education (NIE). Its major purpose is the development of curriculum materials for the elementary grades. Beginning in September 1973, CSMP ran an extended pilot trial of its…

Presents a set of activities, in reproducible format, emphasizing geometry. The activities offer experiences in area measure, whole number and fractional computation, and problem solving in spatial relationships. (PK)

Presents reviews of three software packages. These are "Ant Farm," a game of problem solving using guess and check or trial and error; "Learning Place Value"; and a set of three utility programs--"Mastering Math: Diagnostic System,""Mastering Math: Worksheet Generator," and "Mastering Math: Management System." (PK)

New approaches to the teaching of introductory algebraic concepts are discussed. Their use in the Approaching Algebra Numerically Project in some middle schools in Ohio is reviewed. Some implications for use in Australian schools are considered. (MNS)

Some applications of ratio and proportion to scale drawing involving geometric figures are given. The activities or problems concern the earth and space, scale speeds, and the earth-moon system. (MNS)