Offers activities that foster sharing, supporting, and risk taking for teachers seeking to change instructional practice to implement the NCTM "Professional Teaching Standards." Reviews common obstacles to change, reviews individual and collective professional behaviors that support change, and makes eight recommendations to enhance the…

A salary plan based on the supply and demand for teachers is advocated, using an index calculated each year. (MNS)

Presents results from two skills surveys of Build a Book (BAB) classes in which students learn geometry by writing and editing their own textbook. Points out that this approach is reasonable and that students who had BAB classes in prior years could identify important areas of learning in addition to geometry. (ASK)

Examines the consequences of assigning student grades using test-score averaging on course materials, tests, and learning. Proposes an alternative method of grading based on progressive improvement by the student that emphasizes the learning of concepts. (MDH)

Reports the results of a survey of mathematicians about their teaching background, pedagogical philosophy, and degree to which they use discovery methods and expressive writing assignments, including journal writing, creating mathematical word problems, and writing term papers. Concludes that, although the majority favor a combination of discovery…

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…

Discusses the mathematical pedagogy changes that reflect the constructivist approach exemplified in the National Council of Teachers of Mathematic's "Professional Standards for Teaching Mathematics." As part of the change process, recommends that teachers (1) reflect on their present practices, (2) risk making changes in classroom…

Describes pseudoprimitives, a set of special procedures which allow traditional geometric topics to be used within the context of LOGO. Explains how these procedures can be extended and used in junior and senior high school geometry. (PK)

Discusses the potential impact of the National Council of Teachers of Mathematics Curriculum and Evaluation Standards for School Mathematics on teacher education programs. Considers an historical perspective on reform as well as teacher and student conceptions. (PK)

Proposes a novel method of introducing and promoting the topic of geometric sequences through the problem of calculating the number of games necessary to determine the winner of a single elimination tournament in which two, three, or more teams compete at a time. (MDH)

Describes the team selection process and the organization of the mathematics component of the Environmental Studies Academic Pentathlon. The mathematics component consisted of environmental research, research methodology, and statistics. Groups submitted papers on seven environmental issues, and individuals designed and reported research studies…

Reports part of the results of the Design, Development, and Assessment in Mathematics Education Project that tested the booklet on descriptive statistics called "Data Visualization" in six experimental algebra classes in Whitnall, Wisconsin. Describes examples of problems presented, use of cooperative learning during instruction, and…