Compares the effectiveness of computer-assisted instruction (CAI) and conventional instruction (CI) for teaching a developmental education mathematics course to African-American college students. Results revealed statistically significant difference on the algebra posttest. Students in the CAI section had significantly higher attitudes toward…

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…

Research has often found little or no significant differences in overall performance for math students using graphing calculators compared to traditional (non-calculator) classes. However, when performance is divided into procedural and conceptual levels, significant differences appear at the conceptual level. This study investigates the relation…

Computer Algebra Systems (CAS) can be used to help understand the behavior of cubics and other families of curves. The analysis of the parameters associated with a family of curves can give insight into the behavior of the family and can be used within the context of a mathematical model to determine a policy for the implementation of the model in…

Identifies big ideas for the informal study of algebra-related topics in the middle grades including notation, variable, function, and properties of number. Suggests meaningful ways to accomplish them. (YDS)

Described is an approach to teaching algebra in a meaningful context by using problem solving to motivate students and increase their retention. Examples of this approach are given. (CW)

Described is a decomposition theory from which the Cayley-Hamilton theorem, the diagonalizability of complex square matrices, and functional calculus can be developed. The theory and its applications are based on elementary polynomial algebra. (KR)

Miami-Dade community colleges and middle schools participated in a three-year project designed to improve female students' mathematics skills and prepare them for technical jobs. Faculty encouraged the application of transactional writing in college and middle school algebra, to determine whether combining communication skills with mathematical…

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.…

Presents activities designed to help students bridge the gap between the graphical representation of a function and a verbal description. Includes a number of nonstandard graphs and reproducible student worksheets. (MKR)

The recursive model presented here involves the study of drugs in the bloodstream and their subsequent elimination from the body. Both a basic and a more realistic model are presented and discussed in terms of an algebraic approach, a recursive approach, the graphical representation, and other extensions and connections particularly with models…

The problem-of-the-week (POW) and problem-solving class openers are exemplified as methods for the integration of course-relevant problem solving into a first-year algebra classroom without sacrificing time spent on developing skills and learning concepts. Illustrated examples, as well as problem sources, are included. (JJK)

This report is incorporated into "Attaining Excellence: A TIMSS Resource Kit." Released in Fall 1997, the TIMSS resource kit was developed for educators and those interested in using TIMSS data to improve teaching, curricula, and student achievement in state and local communities. This module presents information about the grade 8…

For effective educational reform, a teacher must be aware of students' views of their role in the classroom culture, and only then may a teacher assist students to become aware of their own prejudices and resistance to change in the classroom structure. This paper discusses a study that investigated the changing student role, particularly from the…

This case study investigates an experienced secondary school mathematics teacher's understanding of mathematics ("her" math) and decisions she makes about her students' classroom experiences ("their" math). This report focuses on the competing roles of the teacher's growing understanding of novel technology-rich mathematics and her decisions about…