Discusses the use of activities demonstrating connections between algebra and geometry, which helps students gain a conceptual understanding of important calculus ideas and gives a historical appreciation of how mathematics evolves. Uses distance, speed, and time problems as an example. (MKR)

Six specific instances in which supplemental instruction (SI) leaders guide student inquiry in college algebra and calculus are described. The active learning strategies used in the situations are analyzed, focusing on the role of the leader and the support provided by SI leader training and supervision. (MSE)

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…

Discusses the objectives, organization, assessment, student reactions, and evaluation of an abstract algebra course in which small-group instruction was used. Concludes that better understanding is achieved and the students assimilate more concepts using this method, although the pace is slower than that in a traditional classroom setting.…

Examples of subroutines that generate both symbolic and graphic solutions to differential equations are presented for the two computer algebra systems, MAPLE and Mathematica. Included are the listings for the Mathematica procedures developed for use in this article. (JJK)

Presents a method blending ideas from logic, algebra, and operators to devise discrete functions that yield the same truth values as the truth tables associated with specific logic statements. Introduces mechanisms that encourage students to discover examples of discrete functions, approximately represent logic statements, and provides examples of…

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 teacher and student experiences in a college algebra course at a high school when assessment practices changed. (ASK)

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…

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…

Proposes an account of mechanisms by which students develop knowledge structures for modeling the physical world with algebra. (Author/CCM)