This is a condensed report of a study commissioned by the Minister's Advisory Committee on Student Achievement (MACOSA). The study was designed to provide information about current levels of achievement in mathematics among students in Alberta schools and to provide a data base for future assessments. The test was given to third-, sixth-, ninth-,…

This guide represents the final experimental version of a pilot project which was conducted in the United States between 1973 and 1976. The ideas and the manner of presentation are based on the works of Georges and Frederique Papy. They are recognized for having introduced colored arrow drawings ("papygrams") and models of our numeration…

This NSF-sponsored conference on the teaching of mathematics at the junior high level involved mathematics teachers and teachers of the natural and social sciences. Papers written for the conference form the bulk of this report. Summaries of the papers and general discussions are organized into shorter reports to give some guidelines which could…

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)

A study was conducted with forty-seven preservice childhood (elementary) education teachers (42 F, 5 M) enrolled in two mathematics methods classes taught by the same instructor to determine the effect of these college students making curriculum materials appropriate for upper elementary students on the preservice teachers' knowledge of…

This document presents the content standards for mathematics in Arkansas. These standards are organized into five strands: (1) number sense, properties, and operations; (2) geometry and spatial sense; (3) measurement; (4) data analysis, statistics, and probability; and (5) patterns, algebra, and functions. Each of these strands is subdivided into…

Using case studies that are functionalist in orientation and computational in technique, the role of control knowledge in developing constructive thinking is illustrated. Further, the integration of related knowledge structures, emanating from diverse sensory modes and pertaining to both place value in addition and angle relationships in geometry,…

The objectives and the scope and sequence for the elementary school mathematics program of the Denver Public Schools (Colorado) are presented. The guide begins with a statement of the philosophy and general objectives of the K-12 mathematics program and a discussion of the methods of achieving those objectives. Several important ideas and concepts…

This collection of papers was solicited from a variety of educators in an effort to provide direction to teachers, curriculum developers and textbook publishers on topics in mathematics education that are consistently mentioned in recent national reports and study groups. The consensus of reports sponsored by various professional associations…

The kindergarten level curriculum guide for bilingual education of Arabic-speaking children in the Chicago public schools is divided into two difficulty levels and is designed to facilitate acquisition of mathematical concepts by presenting them in the children's native language. At each level, the concepts covered include the meaning of numbers,…

This preapprenticeship preparation curriculum consists of 13 learning modules. Covered in the modules are the following: the nature and scope of apprenticeships, a pretest to assess students' mathematical skills, the General Aptitude Test Battery, interviews for an apprenticeship program, whole numbers, common fractions, decimal fractions,…

The National Assessment of Educational Progress (NAEP) administered the selected supplemental mathematics exercises to 13-year-old students during October and November 1975 and to 17-year-old students during March and April 1976. This assessment represents a specially modified supplement to 1972-73 full-scale mathematics assessment and was…

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…

This report examines and summarizes the needs in mathematics of the Fresno City school system. The study is one in a series of needs assessment reports for PROJECT DESIGN, an ESEA Title III project administered by the Fresno City Unified School District. Theoretical concepts, rather than computational drill, would be emphasized in the proposed…

The 13 leading mathematics educators who made up the task force that prepared this report were thoroughly acquainted with every major report on math education produced within the last decade. They were also thoroughly acquainted with the realities of instruction in the K-12 classrooms. Their aim, therefore, was to make appropriate compromises…