Presents a technique that helps students concentrate more on the science and less on the mechanics of algebra while dealing with introductory physics formulas. Allows the teacher to do complex problems at a lower level and not be too concerned about the mathematical abilities of the students. (JRH)

Using sequential chains of regular n-gons in a row with one side touching, as for example, one triangle, two triangles, three triangles, and so on, students graph the length of the perimeter versus the number of n-gons and determine the functional relationship for different values of n. (MKR)

Describes how learning logs were used in a second-year algebra class to help students prepare for a review session. (MKR)

Demonstrates the application of spreadsheet analysis in solving equations beyond quadratics. Considers the costs of interest, gasoline, and maintenance in deciding how long it pays to keep a car. (MKR)

Presents alternative equation-solving procedures that emphasize an examination of the steps or operations necessary to perform a calculation, followed by the inversion of those steps. The approach is especially attractive to students with limited mathematical skills. (Author/MKR)

Attempts to describe a notion parallel to number sense, called symbol sense, incorporating the following components: making friends with symbols, reading through symbols, engineering symbolic expressions, equivalent expressions for non-equivalent meanings, choice of symbols, flexible manipulation skills, symbols in retrospect, and symbols in…

Explains the importance of students learning algebra, and provides examples of how it can benefit them in typical life encounters. The article reveals how algebra quantifies relationships between quantities, basic algebraic structures, and its importance in the deductive process. Several algebra problems that illustrate these points are presented.…

Describes a hierarchical text database model and defines an algebra based on concordance lists. The algebra is presented as a theoretical model to define both a conceptual schema for the database and search protocols for database implementation. Several retrieval examples are included. (19 references) (MES)

Investigates how different problem presentations promote the construction of different cognitive models in school students (N=268) aged 14 to 16. Concludes that the lack of correspondence between a cognitive model of the situation and an algebraic representation of relationships in a problem is a powerful obstacle to the use of algebraic methods.…

Explains that the way in which teachers view algebra has important implications for their instructional goals such as algebra as symbol manipulation versus algebra as a language for generalizing arithmetic. Contains 14 references. (ASK)

Examines the various issues surrounding the implementation of journal writing in an undergraduate linear algebra course. Identifies the benefits of incorporating journal writing into an undergraduate mathematics course, which are supported with students' comments from their journals and their reflections on the process. Contains 14 references.…

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)

Provides a cooperative-learning activity in which students calculate the horsepower of an individual by collecting and analyzing data. (ASK)

Presents a teaching experiment to turn students from external observers into active participants in a game of algebra learning where students use graphs to build meaning for equivalence of algebraic expressions. Concludes that the graphic-functional approach seems to make the introduction to algebra much more meaningful for the learner. (ASK)

Analyzed the role of explanations students provide themselves (self-explanation) in solving word problems. Results from six female ninth graders show how students' categorical self-explanations mediate their transfer from the sequential representation of the problem to the tabular one. (SLD)