Describes several ways to implement the NCTM Standards in technically enhanced classrooms. Presents examples from "Computer-Intensive Algebra." Provides suggestions for implementation. (YP)

Describes three teaching activities for secondary school mathematics classroom: designing a house; guessing the slope function in a calculus course; and solving the six problems of bisymmetric matrices. (YP)

Describes study of junior high school students in Israel that tested the effectiveness of microcomputer-based software designed to shape students' intuitions in the understanding of graphs of quantitative relationships. Retention and integration of microcomputer activities are discussed, and treatments for the experimental and control groups are…

Describes a program to help students succeed in developmental mathematics courses, such as arithmetic, elementary algebra, and intermediate algebra. Provides information on program evaluation and how the program is funded. (YP)

Compares the performance in college algebra for four testing strategy classes: a homework class; a quiz class; a test class; and the control class. Adjusted mean scores in performance and adjusted final attitude were not different among the four strategy groups. The test class had a higher attrition rate than the homework class. (YP)

Investigated are the developments of pupils' use and understanding of algebraic ideas within a LOGO programing context and a non-computational context. The research consists of a 3-year longitudinal case study of 4 pairs of pupils aged 11-16. LOGO experience enhanced the understanding of algebraic ideas. (Author/YP)

Because most schools do not have courses in formal logic, teachers must teach this topic as it comes up naturally through class discussions in algebra, geometry, or general mathematics. This article shows how teachers can capitalize on students' ways of thinking to lead them to a greater understanding of logical relationships. (PK)

Presents three teaching ideas: (1) investigating patterns in the sum of four numbers in a square array, no two from the same column or row; (2) using three-dimensional coordinates to generate models of three tetrahedra; and (3) applying the K=rs area formula for a triangle to other polygons. (MDH)

Demonstrates how graphing calculators can be used by students to solve equations involving absolute value. Allows students to make connections between the algebraic and graphical representations of the problem. (MDH)

Presents a mathematics problem that provoked an excellent classroom discussion concerning the nature of numbers and their relationships. (MKR)

This study investigated differences in achievement for control groups learning college algebra using traditional classroom instruction methods compared to experimental groups using computer algebra tutorials for three precalculus topics. Two instructors each taught one control group and one experimental group. No significant differences were…

Presents an approach to the concept of absolute value that alleviates students' problems with the traditional definition and the use of logical connectives in solving related problems. Uses a model that maps numbers from a horizontal number line to a vertical ray originating from the origin. Provides examples solving absolute value equations and…

Explores alternative strategies to solve algebraic equations that do not lend themselves to traditional methods. Examines one nontraditional equation by a graphical approach using a graphing utility and by a numerical approach using spreadsheets. Discusses new basic skills for algebra utilizing technology. Provides a computer program to solve…

High school students (n=295) were administered variants of the student-professor problem to ascertain whether errors could be traced to implicit versus explicit relationships between the variables. Concludes that implicit variable relationship problems were harder than explicit variable relationship problems. A follow-up study to explore why is…

Clarifies the benefits of having students write about their understanding and dispositions toward mathematics. Discusses ways to manage journal writing and incorporate it into existing classes. Suggests 19 assignments students can respond to in their journals. (MDH)