Discusses the relevance of teaching algebra to all students. Issues examined include the desperate need for reform in the algebra curriculum, developing a curriculum for a broad range of people, and rethinking how mathematics courses are structured and taught. Concludes that teaching algebra to students previously unsuccessful in mathematics will…

Describes the Algebra Project, which teaches algebra to middle school students and prepares them for college preparatory mathematics. The project includes some of the following elements: (1) a curriculum addressing the conceptual leap from arithmetic to algebra; (2) an experientially based curricular process; (3) high achievement expectations; and…

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…

Suggests that the differences existing between the view of algebra as a mandated course at a specified grade level and the view of algebra as a way of mathematical thinking and reasoning developed gradually over time must be positively integrated to help students develop a genuine capacity for algebraic thinking and reasoning. (AIM)

Students (n=61) in an experimental course stressing active student involvement and the use of a computer algebra system scored higher than students (n=76) in a traditional college algebra course on final measures of inductive reasoning, visualization, and problem solving while maintaining equivalent manipulation and computation skills. (Author/MLB)

Analyzes the nature and growth of students' algebraic knowledge and thinking from an epistemological perspective supported by historical observations. Focuses on two crucial transitions: from the purely operational algebra to the structural algebra of a fixed value of an unknown and then to the functional algebra of a variable. (Contains 58…

Proposes methods to teach the more difficult concepts of linear algebra. Examines features of the Linear Algebra Curriculum Study Group Core Syllabus, and presents problems from the core syllabus that utilize the mathematical process skills of making conjectures, proving the results, and communicating the results to colleagues. Presents five…

Explains big ideas in algebra that help students connect ideas with procedures in different mathematical topics to build a relational understanding of algebra. (Contains 10 references.) (YDS)

Data from the High School and Beyond survey for 1,076 students who took algebra before high school and 5,818 who took algebra in high school demonstrated that early access to algebra had an effect beyond increased knowledge, and that it might socialize a student into taking more mathematics. (SLD)

Presents a summary report of the Algebra Working Group's discussion subgroup on tertiary algebra at the Seventh International Conference on Mathematical Education held in Quebec City, Canada in August 1992. (MKR)

Explains how number work in elementary school can be extended to prepare students for algebra. Suggests some practical strategies that focus on five aspects of number knowledge essential for algebra learning. (ASK)

This booklet presents the high school assessment program for algebra by listing Maryland's Core Learning Goals. The match of content indicators and the skills for successful elaborations in thinking, communication, and technology regarding algebra are discussed. (ASK)

Data from (n=470) students at Owens Technical College in Fall 1991 showed that high school GPA was the best predictor of grades in Basic Algebra, followed by high school rank, college GPA, ACT natural sciences, ASSET numerical skills, and ASSET elementary algebra scores. (11 references) (SW)

This study compared the effectiveness of a videodisc algebra program with a traditional text-based program with 26 students with learning disabilities in a summer transition-to-college program. The videodisc group significantly outperformed the control group on posttest measures of algebra skill and also earned significantly higher grades in their…

The abstract nature of algebra causes difficulties for many students. Describes "Real-World Data," an algebra course designed for students with low grades in algebra and provides multidisciplinary experiments (linear functions and variations; quadratic, square-root, and inverse relations; and exponential and periodic variation)…