Eighty ninth graders who solved an algebra problem in groups of four showed status effects at the individual level. The students had filled out preactivity questionnaires about mathematical status and social status and a postactivity leadership questionnaire. Hierarchical regressions and path analyses show that, at the group level, solution score…

Virtual Reality (VR) is a computer generated, multi-dimensional, inclusive environment that can build axioms of algebra into the behavior of the world. This paper discusses the use of VR to represent part of the algebra curriculum in order to improve students' classroom experiences in learning algebra. Students learn to construct their knowledge…

Some research on the learning of mathematics and on learning in general suggests that students may acquire knowledge more efficiently when presented with worked examples rather than the traditional lecture-and-then-practice format. Good worked examples may facilitate the development of mathematical schemata, while a means-end approach may retard…

Students who study algebra are more likely to attend college than those who don't. A major hurdle for students in studying algebra is the transition from arithmetic to algebra. In response to overcoming this hurdle, the College Board and Educational Testing Service has developed "Algebridge," a teaching supplement that integrates…

A theory of how people learn certain procedural skills is presented. It is based on the idea that the teaching and learning that goes on in a classroom is like an ordinary conversation. The speaker (teacher) compresses a non-linear knowledge structure (the target procedure) into a linear sequence of utterances (lessons). The listener (student)…

This curriculum for mathematics is designed as a teachable curriculum directed toward workplace needs. It is intended to be workplace specific and to move the learner toward a full 12th-grade level attainment. The two modules in this curriculum are further divided into modules dealing with specific topics. The first module, Basic Mathematics,…

One way to stimulate interest in mathematics among students is to provide them with enrichment activities which often are somewhat different than regular classroom activities. Based on that premise, this publication presents a compendium of activities designed to enrich mathematics at various grade levels. The activities fall into seven…

This practicum describes a computer assisted instructional (CAI) program written in the computer language BASIC. This computer program was designed to help 11th and 12th grade algebra students (n=15) better understand the concept of linear equations. The program has three sections: the first is a tutorial, the second section gives the student the…

This book attempts to integrate many of the major and recent research findings in mathematics education into a practical guide to mathematics teaching. It includes a variety of ideas and activities for the prospective and in-service teacher of elementary and junior high school mathematics. The book contains chapters on: (1) the nature of…

This document contains the course syllabus and 12 independent practice modules for an introductory college algebra course designed to develop student proficiency in the basic algebraic skills. This is designed as the second of a two-semester sequence. Topics include performing operations with radicals and exponents; learning to solve equations;…

This document contains the course syllabus and 12 independent practice modules for a college pre-calculus designed as the first course in a two-semester sequence for students in a Bachelor of Technology program. The course emphasizes engineering technology applications and verbal problems. Topics include a review of elementary algebra; factoring…

The methodological implications of using instructional information combined with the usual test item responses are discussed as they affect the linkage of achievement measurement and instruction. Models that expand those of standard Item Response Theory (IRT) are illustrated using achievement data from the United States sample of the Second…

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 second-year course, designed for tenth grade. The curriculum interweaves algebra, geometry, logic, probability, statistics, and trigonometry, with the emphasis in the 60 lessons in…

Learning objectives and specifications are provided for use by teachers and test development specialists. Beginning with the 1985-86 school year, the Texas Educational Assessment of Minimum Skills (TEAMS) tests have been based on the objectives in this publication. For grade 9 mathematics, these objectives are: (1) identify the relationship among…

Beginning with the 1985-86 school year, the Texas Educational Assessment of Minimum Skills (TEAMS) tests have been based on the objectives provided in this publication for teachers and test development specialists. For grade 7, mathematics objectives include the ability to: (1) convert decimals or percents to equivalents; (2) add and subtract…