Clarifies aims and objectives of school algebra, reviews research on students' performance, and suggests curriculum modifications. This article is one of the keynote addresses of the Algebra Working Group of the Seventh International Conference on Mathematical Education held in Quebec City, Canada in August 1992. (26 references) (Author/MKR)

Research indicates that students have great difficulty solving algebra word problems and that few high school seniors have mastered the fundamentals of algebra, let alone algebra problem-solving skills. Improving students' algebra problem solving skills is considered to be critically important by those who have worked on reforming mathematics…

Discussion of the use of virtual reality (VR) to help students learn highlights the use of VR with elementary algebra. Learning theory is examined, including knowledge construction; knowledge representation is discussed, including the symbol systems of algebra; and spatial algebra is described and illustrated. (34 references) (LRW)

One of the four algebra word problem structures found in K-12 textbooks is the propositional relation structure (Mayer, 1982). This type of problem asks students to establish equivalences between the variables or noun referents in the problem. The literature available indicates that students have inordinate difficulties, when trying to solve a…

Research findings concerning student learning difficulties in algebra are discussed. A teaching approach which takes into consideration these findings is suggested. Encouraging students to see patterns and to develop flexibility in their thinking are stressed. (CW)

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…

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…

A review of six published studies on algebra interventions for students with learning disabilities revealed that successful interventions included instruction on domain-specific knowledge, as well as general problem-solving and self-regulation strategies. Promising practices include sequential introduction of work problems through concrete,…

Discusses errors made by remedial intermediate algebra students in factoring polynomials in light of student definitions of factoring. Found certain beliefs about factoring to logically imply many of the errors made. Suggests that belief-based teaching can be successful in teaching factoring. (16 references) (Author/MKR)

New developments in the use of automatically scorable constructed response item types for large-scale assessment are reviewed for five domains: (1) mathematical reasoning; (2) algebra problem solving; (3) computer science; (4) architecture; and (5) natural language. Ways in which these technologies are likely to shape testing are considered. (SLD)

Reviewed are 11 studies reported in Dissertation Abstracts International for Social Sciences in 1989. Topics include problem solving, mathematics education, LOGO computer language, implementation of instructional computing, algebra, effects of differential grouping on learning science skills, simulations, and graphing as they relate to the use of…

This paper reviews the current theory and research on algebra/mathematics word problems. First, the major research findings are identified and summarized along with the theoretical perspectives that produced the research. The findings are then interpreted from the perspectives of traditional and wholetheme approaches. Also, a sample methodology of…

This analysis focuses on school offerings and practices that limit or increase the course work taken by particular groups of students. The National Commission on Excellence in Education has recommended minimal requirements for high school graduation consisting of 4 years of English, 3 years of mathematics, science, and social studies, and one-half…

Symbols occupy a pivotal position between processes to be carried out and concepts to be thought about. They allow us both to do mathematical problems and to think about mathematical relationships. In this presentation, the discontinuities that occur in the learning path taken by different students, leading to a divergence between conceptual and…

The Mathematics Education Research Group of Australia (MERGA) was officially constituted in 1980. In 1984, MERGA produced the first review of the mathematics education research carried out in that region. This book is the third in that series of research reviews. An overview provides the context in which the Australian research was conducted and…