The purpose of this study was to investigate the extent to which written error-correcting feedback on teacher-made criterion-referenced tests results in increased achievement of high school students taking algebra. In addition, student attitudes toward chapter tests and changes that may occur in those attitudes resulting from teacher treatment of…

Six studies discussed in this paper compared error-specific or model-based remediation (MBR) with reteaching in algebra. MBR points out, and highlights as incorrect, errors specific to the student's solution before reteaching the correct procedures. Reteaching shows the student the correct procedure without addressing specific errors. Three of…

This paper provides an overview of the four major aspects of the PIXIE Intelligent Tutoring System: the field work undertaken to determine how teachers diagnose and remediate in introductory algebra; the set of experiments run to determine the relative effectiveness of Model-Based-Remediation (MBR) and Reteaching; systems work carried out to…

The Sequential Mathematics Sequence provides an integrated course of study for grades 9-11 in New York City. This document presents lesson plans for part two of the first-year course, designed for ninth grade. The curriculum interweaves algebra, geometry, logic, probability, statistics, and trigonometry, with the emphasis in the 60 lessons in this…

This book contains three major sections. The first section provides 15 lesson plans for the integration of activities involving computer uses in mathematics instruction. Each lesson plan includes grade level, objective, time, materials, important terms, background, suggestions, and activities. The second section provides a list of available math…

This monograph provides activities for beginning algebra students to develop an understanding of the meaning and use of letter symbols, to show applications of algebra in their own lives, and to develop an understanding of mathematical processes through investigation. The activities included were developed by considering the students' mathematical…

The North Carolina Test of Algebra II was developed for use as an achievement test following the completion of the Algebra II course of study. Its design serves two purposes: (1) a normative measure of student achievement; and (2) an objective-based measurement of curriculum coverage. The test's curricular validity, content validity, instructional…

Research was conducted investigating properties of skill in learning, in the domain of elementary algebra. Thinking-aloud protocols indicate that early knowledge of the subjects studied was fragmentary, rather than involving systematically flawed procedures. Computational models, developed to simulate observed errors, focused on the role of…

The Sequential Mathematics Sequence provides students with an integrated course of study, including lessons which interweave algebra, geometry, logic, probability, and mathematical systems. This handbook is designed to meet the needs of teachers who will be teaching Course III in the sequence. The handbook, for use with staff development programs,…

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 basic skills level of returning adult students was investigated longitudinally. A total of 217 entering juniors majoring in business administration in fall 1980 were followed for 3 years. Through assessment and course work, 146 students demonstrated at least minimum basic skills competencies in English usage and algebra, but 71 students had at…

This evaluation report is a description of the Brandeis High School Bilingual Program in its third year of operation. The program was funded under the Elementary Secondary Education Act Title VII. Four hundred eighty-five students who were in need of remedial work in English and/or speech were enrolled in the program. The main language in the home…

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 study investigates factors which may adversely affect the technical education of Hispanic bilinguals. Hispanic bilingual students (N=36) majoring in science or engineering at the University of Massachusetts were given a variety of exams in both English and Spanish aimed at ascertaining the level of certain mathematically related skills. An…

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…