This correlation study examines the relationship between participation in online embedded professional development communities and student achievement gains in a College Algebra course taught by high school teachers to high school students for college credit. The participating teachers met weekly through a web-based meeting format using…

In grade 8 (the only grade in which subgroup trends were analyzed by achievement level), California students made gains across the board in reading at the basic, proficient, and advanced levels for racial/ethnic subgroups, low income students, and boys and girls. In math, there were some declines at the basic achievement level. In terms of…

In grade 8 (the only grade in which subgroup trends were analyzed by achievement level), Arkansas showed across-the-board gains--improvements in reading and math at the basic, proficient and advanced levels for all racial/ethnic subgroups, low income students, and boys and girls. The gains were quite large in most instances, especially at the…

Although one-to-one tutoring has often been regarded as the most effective method of teaching, surprisingly little is understood about tutoring expertise. This paper describes initial attempts to study one-to-one tutoring. The goal of the research was to construct a detailed cognitive model of the reasoning and knowledge of an expert human tutor.…

This paper reports a study that sought to explain student understanding of the concept of linear inequality as presented in a problem-solving setting. In the course of data analysis, the transition from arithmetic to algebra emerged as a critical issue. Therefore, the study examined the differences in the problem-solving activities of solvers who…

This study sought to provide an explanation of (n=13) university students' understanding of the concept of linear inequality as presented in a problem-solving setting. In the course of the analysis of the data, the transition from arithmetic to algebra emerged as a critical issue. Therefore, the study examines the differences in the…

The major goals of this study were to conceptualize a framework for analyzing student conceptions of mathematics, gather baseline information about the conceptions of mathematics held by mathematically talented students and by average high school students, and begin to generate hypotheses about how they are related to the nature of student…

This study examined the problem-solving behaviors, strategies, and achievement of college students enrolled in a one-semester college algebra and statistics course, with respect to the content areas of quantitative literacy, connections between algebraic and graphical representations, and mathematical modeling. Four instructional units of this…

Researchers and educators are calling for increased use of technology and attention to function concepts in school mathematics. Students often have considerable difficulty gleaning pointwise and global information from Cartesian (R squared) representations of functions, whether they are hand- or machine-produced. Described here is an interactive…

Several approaches to the teaching of vectors are discussed, and a particular model is advocated. (SD)

Theorems about the hyperbola which are ordinarily introduced in calculus courses can be proved without using the calculus. (SD)

An "up-to-date" application of algebraic techniques is described. The authors suggest that many such applications can be derived from newspapers and other sources. (SD)

A game modelled on football can be used to provide students with practice in solving algebraic equations. (SD)

A method of summing finite sequences by use of formal power series techniques is described. (SD)

Students in an elementary algebra course use audio-cassette recordings of lecture materials to accompany their textbooks. (SD)