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…

Gives a lesson plan for a mathematics activity using balloons which shows connections between the algebraic concepts of slope, linear functions, and power functions and the geometric concepts of circle, sphere, volume, and pi. Includes reproducible student worksheets. (MKR)

Presents an activity in which students draw a picture, analyze each line and curve, and write the symbolic equations represented by the graph. Includes reproducible student worksheets. (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)

Explores abundant numbers and presents a proof that abundant numbers of every order exist. Readers are encouraged to use the included computer program to explore abundant numbers for themselves, look for patterns in the output, and consider further questions. (Author/MKR)

Discusses the use of technology to investigate what graphs represent as well as how to interpret graphs. (MKR)

Presents algebraic and geometric solutions with surprising twists to a word problem involving linear functions and postal rates. (MKR)