Intended as a reference for the convenience of students in sampling, this monograph attempts to express relevant, introductory mathematics and probability in the context of sample surveys. Although some proofs are presented, the emphasis is more on exposition of mathematical language and concepts than on the mathematics per se and rigorous proofs.…

This study reviews literature related to innovative approaches to the teaching of college algebra, and describes the approach to such a course at Lansing (Michigan) Community College. Recommendations concerning that course are presented, based on the experiences of other schools as described in the literature, and analysis of the Lansing…

This paper reviews and synthesizes the results of 17 studies of the prediction of successful achievement in first-year algebra courses. On the basis of this review, four major points are made: (1) success in prior mathematics courses is a better predictor of success in algebra than general intellectual ability; (2) ability to understand and apply…

Summative evaluation of an ESEA Title III project designed to raise the mathematics achievement scores of low achievers in grades 10 and 11 is reported. In a summer writing project, teachers developed 21 arithmetic modules and 11 algebra modules for use by students on an individual basis. Students used the modules at their own pace and stayed with…

Analysis of data on this algebra course, gathered by the Comprehensive Achievement Monitoring (CAM) system, indicated that equivalent scores were yielded by either random or chronological arrangement of the test items on the monitor forms. Chronological arrangement may be permissible, therefore, for normal data processing; random arrangement…

This teacher guide is part of the materials prepared for an individualized program for ninth-grade algebra and basic mathematics students. Materials written for the program are to be used with audiovisual lessons recorded on tape cassettes. For an evaluation of the program, see ED 086 545. In this guide, the teacher is provided with objectives for…

This teacher guide is part of the materials prepared for an individualized program for ninth-grade algebra and basic mathematics students. Materials written for the program are to be used with audiovisual lessons recorded on tape cassettes. For an evaluation of the program, see ED 086 545. In this guide, the teacher is provided with objectives for…

This teacher guide is part of the materials prepared for an individualized program for ninth-grade algebra and basic mathematics students. Materials written for the program are to be used with audiovisual lessons recorded on tape cassettes. For an evaluation of the program see ED 086 545. In this guide, the teacher is provided with objectives for…

An evaluation of an individualized program for ninth-grade algebra and basic mathematics students is presented. Objectives of this program were to increase achievement and to create a positive attitude toward mathematics. Materials written for the program were used with audiovisual lessons recorded on tape cassettes. When the achievement gains of…

Each of the ten chapters in this volume is intended to present an objective analysis of the trends of some important subtopic in mathematics education and each includes a bibliography for fuller study. The chapters cover primary school mathematics, algebra, geometry, probability and statistics, analysis, logic, applications of mathematics, methods…

An investigation of student achievement gains in remedial Algebra I studied the relationship between achievement and the following variables: instructional technique (programed vs. conventional), student age, sex, and previous level of ability. An analysis of the equality of means of paired samples, made by a t-test, revealed that the variable of…

This paper, a revision of the original document, "Correcting Partial, Multiple, and Canonical Correlations for Attenuation" (see TM 000 535), presents the formula for correcting coefficients of partial correlation for attenuation due to errors of measurement. In addition, the correction for attenuation formulas for multiple and cannonical…

Demonstration programs, possible assignments for students (with solutions), and remedial drill programs for students to use are presented to aid teachers using a computer or a computer terminal in the teaching of algebra. The text can be followed page by page or used as a well-indexed reference work, and specific suggestions are made on how and…

This self-pacing program is the result of a cooperative curriculum development project between The Maryland Department of Education and The Baltimore County Schools. Included is a teachers guide for the use of the materials. The philosophy of this approach is that of individualization of instruction wherein the student moves at a pace commensurate…

This self-pacing program is the result of a cooperative curriculum development project between The Maryland Department of Education and The Baltimore County Schools. Included is a teachers guide for the use of the materials. The philosophy of this approach is that of individualization of instruction wherein the student moves at a pace commensurate…