Problem Solving in Mathematics (PSM), a program of problem-solving lessons for grades 4-9, is designed to be integrated into the regular mathematics program. Although the content objectives of the lessons are similar to those of most textbooks, PSM emphasizes problem-solving skills and a variety of instructional strategies which foster the…

This curriculum guide was designed by the Coudersport, Pennsylvania, school system to be used in teaching 0-4 level mathematics skills to adult basic education students. The guide is intended to provide consumer-oriented, problem-solving material that correlates with those skills found in the Noonan-Spradley Diagnostic Program of Computational…

This issue contains abstracts and critical comments for 11 articles. Three articles focus on problem solving; the remainder concern understanding of the equals sign, mathematical structure, mathematical abilities, the role of language in tasks involving sets, sex differences in mathematical errors, subtraction, algorithms as schemes, and…

The concept of multiplication is described and illustrated using several different representational systems. A conceptual approach to teaching mathematics is compared with the procedural approach commonly found in the school curriculum. Four different methods of representing the multiplication process with numbers larger than ten are presented:…

Fourth in a series, this cumulative report reviews Apple computer courseware and some IBM courseware (Business and Math sections) authorized by Alberta Education from January 1983 through May 1985. It provides detailed evaluations of 168 authorized titles in business education (17), computer literacy (12), early childhood education (8), language…

A brief overview of the language of mathematics is presented, with specific attention given to its structure and facility. It is felt that professional discretion has to be exercised as to which elements of the material are acceptable for student use. However, it is viewed as essential that teachers be exposed to the structure in order to deal…

The development and field testing of two instructional mathematics programs are discussed. The general instructional program evolved from earlier research, and was field tested with 40 teachers and over 1000 fourth-grade students. Data reflected that this program had strong, positive effects on students' achievement. The second program focused on…

This study used 152 grade eight students ranging in age from 12 to 14 years from a suburban middle school in central New Jersey. The investigations gave particular attention to the identification of variables that represent understanding of fundamental mathematical structures. The first year of the research took place during the 1978-1979 school…

A set of articles with the theme "Mathematics for Real Life" is presented. These article titles are: (1) Teaching Mathematics as a Tool for Problem Solving; (2) New Math or New Education; (3) Hand Calculators and Math in Primary School; (4) Mass Media in the Mathematical Training of Polish Primary Teachers; (5) The Goals of Mathematics Teaching in…

This pilot study was designed with four general objectives: (1) improving problem-solving strategies through the use of calculators; (2) determining the most effective timing for introducing calculators; (3) enhancing student interest in mathematics as a result of using calculators; and (4) identifying possibilities for further investigation. The…

Eight activity packages, designed to teach students mathematical topics which are inappropriate to teach through a paper and pencil approach, are presented. The materials were created so that students: (1) can follow the instructions with little supervision; (2) are physically engaged in the activity, either measuring, counting, drawing pictures…

This guide outlines an Option X course on problem solving techniques. The 16 learner objectives identified in the Mathematics Program Guide stress applications orientation to concepts about numbers and operations and common plane and solid figures. Techniques covered include working with diagrams, organizing information, using patterns,…

Students in three grade 7 classes, a grade 6 class and a split grade 5/6 class were provided with calculators for use in their mathematics classes for a period of eight weeks. For the posttest on problem solving the 116 students were randomly assigned to the group using calculators on the posttest or to the group using only paper and pencil. In a…

Problem solving is viewed as an ability required throughout life, and how we function is seen to be directly related to how well we solve problems. In this document, the issue of a steady decline in students' abilities in the area of mathematical problem solving is confronted and a program designed to teach students the necessary skills in this…

This publication provides a comprehensive interpretation of the second mathematics assessment completed during the 1977-78 school year by the National Assessment of Educational Progress (NAEP). The NAEP results suggest strong implications for the mathematics curriculum of the 1980's that mathematics educators need to evaluate with care. The…