Hierarchically organized knowledge about actions has been postulated to explain planning in problem solving. Perdix, a simulation of problem solving in geometry with schematic planning knowledge, is described. Perdix' planning knowledge enables it to augment the problem space it is given by constructing auxiliary lines. The planning system also…

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,…

This guide is designed to be another segment of the total educational program established by state administration and mandated by the Louisiana Legislature in both the accountability and assessment and the competency-based education laws. This document outlines a course of instruction based on thirty weeks of school, which provides six weeks of…

The purpose of the study was to find out if and how the subject matter of a remedial high school classroom interacted with the social organization of that classroom and the differences it made. Two classrooms with different subject matter (mathematics and social studies) were observed over the course of a school year. The multiple awarenesses and…

This core curriculum contains five units for use in teaching metrics to vocational students. Included in the first unit are a series of learning activities to familiarize students with the terminology of metrics, including the prefixes and their values. Measures of distance and speed are covered. Discussed next are measures of volume used with…

The purpose of this document is to increase the educator's awareness of the present situation in computers in the school. Although the study was directed at computers in the secondary mathematics curriculum, of necessity much of the material dealt with broader aspects of the computer in all secondary curricula. The first section of this report…

Data derived from a year-long study of 43 algebra classes in 13 high schools were collected to assess the differences between high-inference and low-inference measures of teacher behavior as predictors of pupil achievement and attitude change. The high-inference systems rated characteristics such as enthusiasm and clarity while low-inference…

This report summarizes the results of the National Assessment of Educational Progress 1977-78 assessment of mathematics. Chapter one provides general information about mathematics assessments and includes discussion of the objectives, samples, exercises, statistics, and background variables of the assessment. Chapter two considers changes in…

This study investigated the effectiveness of several intervention programs, in terms of increasing girls' participation in mathematics. The programs included two classes developed at Johns Hopkins University (an all-girls' accelerated mathematics class and a girls' career awareness class), and four school system-based programs based on the Study…

This report presents an overview of the history of the Junior High Classroom Organization Study, designed to answer questions concerning effective instruction in junior high school English and mathematics classes. Nineteen trained observers were sent to 52 classrooms in the Austin (Texas) Independent School District. Observers kept written records…

This study tests the effects on student achievement and attitude of two methods of reviewing homework problems in mathematics. One review procedure involved solving and explaining each homework problem the day after an assignment was made. In the second procedure, only the problems that students requested to have reviewed were covered. Two Algebra…

This is one of a series of student booklets designed for use in a bilingual mathematics program in grades 6-8. The general format is to present each page in both Spanish and English. The mathematical topics in the booklet include points, lines, planes, space, angles, and intersection and union of sets. (MK)

This project investigated the determinants of one's decision to take or not to take mathematics. Conclusions of the study include: (1) parents do have sex-differentiated perceptions of their children's mathematics aptitude despite the similarity in actual performance of boys and girls; and (2) parents as role models of sex-differentiated…

The purpose of this paper is to identify how the theory and techniques of research in cognitive development can be applied to the study of learning and instruction in mathematics. Five basic research paradigms are characterized; major directions of research on number, measurement, geometry, and adolescent reasoning are identified. Most of the…