A method is proposed to combine a relative approach and an absolute approach to performance appraisal by combining graphic rating and ranking. Two studies involving 196 college undergraduates who rated their instructors illustrate the promise offered by the proposed Qualitative Ranking Scale. (SLD)

A theoretical framework for mastery testing based on item response theory and Bayesian decision theory is described and illustrated. Implementation depends on the availability of (1) a computerized test delivery system; (2) a pool of pretested items; and (3) a model relating observed test performance to true mastery status. (SLD)

Discusses how grocery shopping activities can help primary and intermediate grade students develop mathematics skills useful in real life. (BB)

Describes a project where computer-assisted graphical data analyses were introduced to inner-city high school students with weak math and science backgrounds. Provides examples of performance of students on open-ended problem-solving tasks. (PR)

Provides a lesson that focuses on three-dimensional graphing, contours, and topographical maps using computer spreadsheets. (ASK)

Features an assignment involving average monthly temperatures that can serve as an example of curve-fitting for a periodic function. (WRM)

Describes one teacher's effort to change the classroom environment in order to create student-directed exploratory learning. Presents a lesson in which students use the computer program Lesson Graph to study the effects of coefficients on linear equations. (ASK)

Proposes that introductory physics courses extend the analysis of one-dimensional motion to a more sophisticated level. Gives four experimental setups and graphical analysis of the distance, velocity, and acceleration in the vertical and horizontal directions. (WRM)

Suggests using everyday examples to help students describe the relationships that emerge from the evidence displayed on line graphs during science investigations. (WRM)

Offers information on a project to improve students' understanding of derivatives. Students use the software package "Cactusplot" which allows them to calculate the slope at various points, and "Graphical Analysis III" software to graph the data and modify the graphs if necessary. (ASK)

Introduces a unit on data analysis which would not only satisfy elementary statistics requirements but also involve students in a long-term mathematics project in a meaningful and relevant way. Addresses the mathematical concepts of measurement, graphing, and computation. (ASK)

Describes several activities and games that provide an introduction to the concept of function. Suggests that experiences should depend more on students' experiences and understanding and less on the memorization of unmotivated conventions with abstract symbols. Includes activities for a calculator as a function machine, composite functions, and…

Describes an activity for making the connection between triangle ratios and graphs of circular functions which helps middle school students understand the concept of a sine curve. (ASK)

Explores the co-shaping of public and private discourse and some of the circumstances under which one occasions the other in the evolution of mathematical thinking by pairs of 13-year-olds. Provides evidence that adolescents within novel problem situations can experience some difficulty in making their emergent thinking available to partners in…

According to historical stories, the Saxons placed a bowl with a hole in its bottom in water and used the time it took the bowl to submerge to limit orations. Describes a science activity in which students find a relationship between the diameter of the hole and the time to submergence. (WRM)