Discusses the evolution of a method for engaging students in the study of abstract algebra and enhancing their depth of understanding. Emphasizes the impact of oral activities on student learning. (Contains 16 references.) (Author/ASK)

Missouri high school students (n=254) in applied mathematics (AM) 1, AM2, and a control group in algebra 1 completed the Pre-ACT (American College Test) and ACT Work Keys. Students in AM2 attained skills comparable to those in algebra 1. AM students had similar math attitudes to those of algebra students despite less previous success in math. (SK)

Over the past 3 years, the Mathematics Department of Grossmont College, in California, has examined the issues of course standards, instructor grading variability, and course placement. In 1990, a study was conducted to determine if the Elementary Algebra instructors with lower pass rates had higher standards, and if their students had a higher…

Computer-Intensive Algebra (CIA) focuses on the use of technology to help develop a rich understanding of fundamental algebraic concepts in real-world settings using computing tools for easy access to numerical, graphical, and symbolic representations of mathematical ideas. (MKR)

Discusses the impact of computer algebra systems and evolving educational technologies on the mathematics curriculum, including fundamental assumptions, understandings that are needed, overarching priorities (acquiring and using knowledge), impact on students and parameters of instruction, and impact on faculty. (43 references) (MKR)

Examines the various issues surrounding the implementation of journal writing in an undergraduate linear algebra course. Identifies the benefits of incorporating journal writing into an undergraduate mathematics course, which are supported with students' comments from their journals and their reflections on the process. Contains 14 references.…

Presents suggestions for developing algebraic concepts beginning in the early grades to develop a gradual building from informal to formal algebraic concepts that progresses over the K-12 curriculum. Includes suggestions for representing relationships, solving equations, employing meaningful applications of algebra, and using of technology. (MDH)

This study examined the effectiveness of a computer algebra system in teaching secondary school mathematics. Pre- and posttest results and time on task were compared for students receiving conventional instruction and those receiving computer-assisted instruction using an enhanced version of muMath, a standard computer algebra package. (four…

Presents 24 activities related to the theme of area to illustrate how algebra can empower students, not impede their progress. Activities use grid tools, manipulatives, computational tools, and paper-and-pencil tools to facilitate access, discourse, independence, and multiple representations. Well-chosen themes offer connections, motivation,…

Characterizes algebra as a way of reasoning involving variables/functional relationships, generalization/modes of representation, and mathematical investigation/argument. Examines curricular goals; considers contributions of technology to reconceptualize algebra; and suggests directions for future development of tools and models, research agendas,…

While many technological capabilities are under development and may turn out to be an optimal future microworld, it is necessary to study the current widespread solution of supporting exploration and learning of school algebra with packages of mathematics software components. Describes and discusses software tools for school algebra. (Contains 45…

Correlations of a test of algebra skills, SAT mathematics scores, and final mathematics grades indicated that most college freshmen would be better placed in mathematics courses by using the test of algebra skills and SAT scores than by using SAT scores alone. (18 references) (Author/MKR)

The ability to use algebra in describing and analyzing real-world situations is becoming a basic skill for all students. The main focus of this book is on patterns, functions, and relationships. Information and ideas on how algebraic thinking can be developed in the years leading to a formal algebra course are included. K-8 teachers are offered a…

Discusses concerns for mathematics education research on algebra and requestions methods that focus on the Piagetian concept of cognitive obstacles. Suggests the use of computer-based environments to develop the concept of variable and offers research findings indicating that experiences working with variables in LOGO influences student…

Algebra students typically pay little attention to choosing appropriate domains, ranges and scales of axes for graphing functions. The purpose of this study was to investigate the effect of introducing an assignment and employing the graphing calculator to examine and alleviate students' difficulties regarding the selection of appropriate domains,…