Described is the attempt to identify relationships between pedagogy and student behavior in a mathematical microworld. The patterns of teaching associated with LOGO-based computer activities involving ratio and proportion and the teachers role in helping students bridge the gap between LOGO- and school-mathematics practices are explored. (MDH)

Utilizes LOGO to teach the concept of inequalities by programing the turtle to take random walks in the coordinate plane restricted to predetermined regions defined by inequalities. The students task is to discover the inequalities that define the illegal areas into which the turtle must not move. Provides examples and corresponding computer…

Describes two investigations suitable for grades seven and eight that explore the properties of the figure created when the midpoints of an equilateral triangle or square are joined. (MDH)

Explores the use of dialogue and dramatization to reconstruct the formation of mathematical concepts. An appendix provides the synopsis of a 6-scene play that portrays the rise of negative numbers over a period of 300 years. (MDH)

Describes a problem to challenge students as they come back from summer vacation. Working in small groups, students discover Pick's Theorem, the formula to calculate the area of a polygon constructed on a geoboard. A writing assignment evaluates the students' efforts. (MDH)

A case study is presented of a science class for 10 underachieving gifted intermediate grade students. The paper describes how a focus on overcoming underachievement might conflict with the need for active, hands-on science activities. Suggestions are offered for integrating the goals of raising self-concept while developing skills of inquiry and…

Described is a study that used LOGO to improve the proportional reasoning ability of students enrolled in mathematics classes for students poorly prepared for college-level mathematics. Included are the methodology, procedures for using logo, and a discussion of the results. (KR)

Illustrates where several unexpected patterns of antiderivatives can be realized during calculus instruction via the application of integration by parts to the exploration of particular members of families of functions. (JJK)

Demonstrations that can be used to lead students to wonder and write about basic scientific principles are presented. Each demonstration includes the concept demonstrated, a list of materials, and procedures. Concepts include density and temperature of liquids, contracting matter with heat, atmospheric pressure, dramatic color changes, fireproof…

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)

Examples of composite functions present students with intriguing questions that they can explore using calculators and computers, geometric and algebraic methods, and approximation techniques. Student-centered activities allow students to make discoveries about functions. (MLN)

Presents activities which use graphing calculators to explore parametric equations of spirals, circles, and polygons. (MKR)

Asserts that to establish standards-based education in K-12 geography, educators must develop strong instructional materials; train teachers to use those materials; and ensure adoption of the materials by providing curricular guidance. Maintains that alternatives to traditional content and instruction must be used. (CFR)

Describes the background and development of the Geographic Inquiry into Global Issues (GIGI) project. Maintains that the secondary school lessons are designed to teach citizenship and critical thinking skills. Emphasizes that the pedagogical approach is founded on the inquiry approach. (CFR)

Describes a middle school program that focuses on creating educational experiences that foster life-long learning for all students. The Discovery Program provides a range of differentiated teaching/learning activities, including research competitions, language-arts studies, social-action projects, art exhibitions, mathematics projects, and…