Presents a discovery lesson in which students investigate the limit of angle measures formed by repeatedly folding a strip of paper. (KHR)

Situations for which the researcher should use component analysis versus common factor analysis are discussed. Topics addressed include key algebraic similarities and differences, theoretical and practical issues, the factor indeterminacy issue, latent versus manifest variables, and differences between exploratory and confirmatory analysis…

Presents an example of a mathematical question to illustrate an approach to simultaneous equations. Provides an example with diagrammatic and numerical representations. Suggests some possible developments. (YP)

Presents an approach to Vieta's formula involving pi and infinite product expansions of the sine and cosine functions. Indicates how the formula could be used in computing approximations of pi. (MVL)

Presents a theory of the development of algebraic abstraction that extends Sfard's and Mason's ideas on learners' progress from operational or process-oriented thinking to the abstract or structural perspective. Analyzes secondary school students' approaches to classifying a set of complex equations. (Author/MKR)

Twelve adolescents with learning disabilities were trained to use a cognitive strategy in algebra problem solving. The two-phase strategy (problem representation and problem solution) was effective in improving algebra performance on algebra word problems, and maintenance and transfer of the strategy were evident. (JDD)

Describes a classroom activity in which students explore a real-life application of algebra by sending secret messages to each other. (MKR)

Graphs equations in two variables using a BASIC screen-sweep program that generates solutions to equations by applying the intermediate value theorem. Provides suggestions for investigations that result in graphs of a butterfly, the Cheshire cat, the Trisectrix of Catalna, E. T. waving goodbye, a praying mantis, and others. (MDH)

Correlations of a test of algebra skills, SAT mathematics scores, and final mathematics grades indicated that most college freshmen would be better placed in mathematics courses by using the test of algebra skills and SAT scores than by using SAT scores alone. (18 references) (Author/MKR)

A preservice teacher education course involving the applications for a computer within the mathematics classroom is described in terms of its evolution from a workshop to a regular curricular offering. Included are samples of computer experiments which suggest computer teaching activities for the prospective teacher lacking in field experience.…

Discusses an alternative form of the quadratic formula to solve quadratic equations. Presents an application to chemistry to illustrate the need for quadratic formulas better suited to approximations obtained using hand-held calculators. Addresses the problems of rounding errors, accuracy of solutions, and factoring as a method of solution. (MDH)

Presented are eight student worksheets of block problems. Included are diagrams of the squares and hollow squares involved and a separate answer sheet for the problems. (CW)

Examined differences in connectedness of instruction on equivalent algebraic expressions between an expert and two novice teachers by analyzing lesson plans, observations, and postlesson interviews. Only the expert teacher used both lesson and content connectedness to guide teaching. Differences in teachers' views and uses of connectedness are…

Presents a mathematics activity that illustrates how such adjectives as elegant, surprising, concise, and challenging can be, and in fact are, attributed to proofs by a not very expert audience. (ASK)

Presents ways to improve the accuracy of approximations of logarithms in a college-algebra course. (Author/ASK)