This article discusses the problem of the high percentage of low grades in first-year algebra. Suggestions for structured class periods, homework, after-school sessions, and testing are provided. (YP)

This article introduces this series by discussing "Curriculum and Evaluation Standards for School Mathematics" as a catalyst for change at the local school level, describing some of the major themes underlying the standards, and providing tips for teachers. (YP)

This article provides four mathematical activities for grades 6-8 with situations involving proportional and nonproportional reasoning. For each problem, students construct a table based on the particular situation, generalize a rule to describe those data, and then plot the data on coordinate axes. (YP)

Given are several examples of seemingly unrelated problems that nevertheless can be solved with a single mathematical idea--the proportion. It is hoped that as students see how a variety of problem contexts can be modeled by a proportion, they will use proportions more frequently in problem solving. (MNS)

Briefly presented are suggestions on using exercises in number patterns in second-year algebra and factoring quadratics in a 10th-grade enrichment class. (MNS)

Relationships among the sides are developed for right triangles whose sides are in the ratios 1:3, 1:4, and 1:5. The golden ratio appears in the results which can be used in secondary mathematics. (DC)

Suggests computer graphing as a topic for computer programing. Reviews Apple II computer graphics information and gives suggestions for writing the programs. Presents equations to help place information onto the screen with proper coordinates. (MVL)

Difficulties experienced by algebra students are listed, with comments on what can be done and some implications for teaching. (MNS)

Topics from graph theory are introduced at an informal level and thereby made accessible to the majority of secondary school students. Three worksheets are included. (MNS)

Observations focusing on classroom discourse, uses of graphing calculators, nature of instructional tasks, and instructor-questioning patterns in a high school algebra course found that the teacher modified his teaching strategies and curriculum to accommodate the teaching strategies and topics that arose from the use of the graphing calculator.…

The University of Chicago School Mathematics Project (UCSMP) courses for the first two years of high school integrate geometry and algebra, incorporate applications as a motivation for learning new content, and use technology as a vehicle for discovery and exploration of mathematical topics and to perform algorithmic tasks. (31 references) (MKR)

The Center for Occupational Research and Development (CORD) developed an applied mathematics course that integrates algebra, geometry, trigonometry, and other strands; centers around hands-on laboratory experiences; and uses real-world problems found in the world of work. (MKR)

Characterizes algebra as a way of reasoning involving variables/functional relationships, generalization/modes of representation, and mathematical investigation/argument. Examines curricular goals; considers contributions of technology to reconceptualize algebra; and suggests directions for future development of tools and models, research agendas,…

Presents five lessons to demonstrate how graphing calculators can be used to teach the slope-intercept concept of linear equations and to establish more general principles about two-dimensional graphs. Contains a reproducible student quiz. (MKR)

Presents activities that use physical models to help students see the natural progression for steps in mathematical induction. Contains reproducible student worksheets. (MKR)