By measuring the performance of 62 students enrolled in a community college introductory algebra course, this study challenges the generally accepted assumption among mathematics instructors that mastery of arithmetic is necessary for the learning of algebra. Study subjects were 35% male, 74% Hispanic, 16% Black, 8% white, and 2% other. A pretest,…

Investigates 6th-grade students' use of equations to describe and represent problem situations prior to formal instruction in algebra. Describes students' preinstructional uses of equations to generalize problem situations and raise questions about the most appropriate curriculum for building on students' intuitive knowledge of algebra. (Contains…

Presented are the results from a few of the writing prompts used in a study and some of the comments made by individual students in response to specific prompts. Background of the study, an intervention strategy, and categories used (prompts, responses, applications, and explanations to peers) are discussed. (CW)

This study examined differences between men and women in intermediate and college algebra courses in an urban university's mathematics lab. Variables examined included grade, hours worked, semester course load, grade point average, time spent in mathematics lab, and age. Women had better course grades than men in intermediate and similar grades in…

This qualitative study is a two-part analysis of first year algebra textbooks adopted for use in South Carolina. Part 1 examines the five books selected in the 1984 adoption. This comparison of first year algebra textbooks examined: (1) whether the textbook authors had adjusted the traditional context of math texts at this level to reflect…

This brochure is part of NAEPFACTS, a new series that briefly summarizes findings from the National Assessment of Educational Progress (NAEP). Course-taking is generally a powerful indicator of mathematics achievement. This occurs partially because students who are more proficient tend to take more mathematics classes and, at the eighth grade, the…

Investigates secondary mathematics teachers' use of the graphing calculator in their classrooms. Examines whether algebra teachers are currently using this technology in their classrooms, their perceptions toward the technology, and any changes in the curriculum or instructional practices. Indicates that the use of the graphing calculator is still…

Adopts several strategies for successful teaching and learning of linear algebra, which consist of a set of computer projects allowing students to explore new concepts, make conjectures, apply theorems, and work on applied projects of their choice. The resulting improvement in student learning has been remarkable. (Contains 12 references.)…

Study examined the effect of frequent testing on eleventh grade algebra students' performance. One group was tested weekly and another biweekly for two months, then the testing schedule was reversed for two months, over eight months. Results indicated definite performance improvements during weekly versus biweekly testing. Students preferred…

Presents a theoretical framework based on interviews with undergraduate students and written questionnaires to study how undergraduate students cope with abstract algebra concepts. Indicates that students' responses can be interpreted as a result of reducing the level of abstraction. Examines the theme of reducing abstraction based on three…

Describes a study that investigated the influence of small-group work on confidence level and achievement of adults in mathematics, specifically in algebra. Students who participated in the experimental (small-group) method of instruction experienced significantly greater increase in confidence level, and higher completion rate, than students who…

Reported is a two-part study to identify factors that contribute to student success in a remedial mathematics course for first-year college students. Data from 263 students testing into remedial algebra was collected on 3 academic variables, 2 affective variables, and class attendance. Multivariate analysis results failed to find moderate…

Describes a pilot study on the use of computer algebra at the upper secondary level. A symbolic calculator was introduced in a pre-examination class studying for advanced pre-university mathematics. Focuses on the identification of obstacles that students encounter while using computer algebra with the theoretical framework of Realistic…

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…

Describes a study that examined block scheduling's effects on student and teacher performance and attitudes at a large Texas high school. While the 2-hour Algebra I block had a higher failure rate than the traditional 50-minute algebra class, the block classes were comprised of students who have traditionally struggled in mathematics. Maximizing…