A police officer presented a question about a formula on speeding. This application was a good real-world example of radicals to present in an algebra class. How it was used is presented. (MNS)

Describes the use of step-functions in modelling instruction. Classifies modelling into three categories: direct, analogical, and creative application. Provides and discusses modelling postal rates and other problems as examples. (YP)

A structured system of visual features is seen to parallel the propositional hierarchy of operations usually associated with the parsing of algebraic expressions. Women more than men were found to depend on these visual cues. Possible causes and consequences are discussed. Subjects were secondary and college students. (Author/DC)

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)

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)

Explains the significance of the mole as a unit of measure by showing the relationship between physical quantities and their mathematical representations. Offers a summary of the principles of metrology that make creation of physical quantities and units seem reasonable. A table of base physical quantities and units is included. (RT)

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

Testing of and interviews with (n=83) eighth-grade students who were presented with a set of linear equation-solving and checking tasks found two categories of checking behavior: structurally erroneous behavior and executionally erroneous behavior. Relates solving and checking behavior and metacognition. (16 references) (Author/MKR)

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)

This article describes the application of effective instructional practices to the teaching of remedial algebra with dyslexic students at the University of Wisconsin Oshkosh's Project Success program. Practices involve direct instruction, stranded lesson designs, mastery learning, use of manipulative materials in problem solving, and training in…

Approximately 1,200 students in years 7 to 10 were tested on recognizing, using, and describing rules relating 2 variables. Fourteen interviewed students saw a variety of patterns, many of which were not helpful for algebra. Outlines critical steps in moving from a table to an algebraic rule. (MKR)

The Diagnostic Testing and Prescription model, developed by the Center for Talented Youth at Johns Hopkins University (MD), was implemented in seven sixth-grade classes at three Brooklyn schools. The selected 165 students were provided an accelerated curriculum (covering arithmetic, prealgebra, and in some cases, algebra) and completed from 1-2.5…