The fundamentals of algebra and algebraic thinking should be a part of the background of all citizens in society. The vast increase in the use of technology requires that school mathematics ensure the teaching of algebraic thinking as well as its use at both the elementary and secondary school levels. Algebra is a universal theme that runs through…

Examines the potential role for Computer Algebra Systems (CAS) when teaching courses as functions, calculus, and linear algebra to students with low prerequisite algebra skills. A study reports the rationale, planning, and implementation of a functions course integrating Maple CAS into instruction. (MDH)

Four classes (n=53) of Basic Algebra and five classes (n=50) of Intermediate Algebra in a community college setting were randomly assigned to sections either using or not using computer assisted instruction (CAI) supplemental to classroom instruction. Based on standardized pre- and posttest scores, students using supplemental CAI in Basic Algebra…

Assessed was the level of thinking of 140 students who had been placed in developmental algebra as entering college freshmen. Scores on the Group Assessment of Logical Thinking, Scholastic Aptitude Tests, college placement tests; high school grade point average, and developmental algebra final grade were analyzed. Group characteristics are…

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…

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)

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…

This paper discusses the role of the culture in secondary mathematics education. A historical and philosophical look at the relationship between the real world and mathematics and mathematics education is developed. The U.S. secondary mathematics curriculum is explored both historically and philosophically to try to ascertain its changing…

"In Brief" focuses on K-12 mathematics and science research and implications for policymakers, educators, and researchers seeking to improve student learning and achievement This brief highlights the learning gains of 240 elementary students involved in a long-term study in Madison, Wisconsin and their remarkable ability to reason with arithmetic…

Describes class exercises where undergraduates construct and test mathematical models using data and issues related to social security. The students collect data and forecast economic and demographic variables that determine future tax rates. They then discuss government policies that are derived from their models. (MJP)

To better understand the effect of student background, work load, and attitudes on performance in intermediate algebra, a study was conducted in summer 1990 among students at a central Texas community college using pre- and post-course questionnaires completed by 124 of 157 students in 8 sections of intermediate algebra. Respondents were…

This study examined the benefits to teachers who used impromptu writing prompts in first- and second-year algebra classes. Interpretive research methodology was used to collect and analyze data. Concluded that teachers' assessment of students' understanding was enhanced by reading their students' responses to impromptu writing prompts, thus…

Described is an approach to computational matrix algebra that takes advantage of a high quality, low cost microcomputer software package. The examples and applications discussed focus on matrix multiplication. (Author/CW)

Examines questions raised by the Algebra Project relating to sociocultural contexts in which mathematical learning takes place and the contribution of social processes to the construction of mathematical knowledge. Finds that the project goal of improving minority student prospects in advanced mathematics and science is measurable and well worth…

This volume contains the full text of 2 plenary papers and 26 research reports. In addition, brief, usually one-page, reports are provided for 6 discussion groups, 10 technology focus groups, 7 symposiums, 7 oral presentations, and 17 position sessions. The two full plenary reports are: (1) "Problems of Reification: Representations and…