An example is given of a problem-solving approach by outlining the development of a generalization of the Pythagorean Theorem as applied to points on a unit circle. (MP)

Presents an investigation using data collected by students to explore timelines and pie charts. The activity begins with having students keep a chronological record of their activities for one 24-hour period to create and analyze pie charts that show how they have spent their time. Activity sheet also included. (ASK)

Describes an activity on data management and statistics in which students were asked to think of a topic and collect information on it to analyze and represent in graphs. (ASK)

Compares observed to expected counts of white, African American, and Hispanic major-league baseball players (n=650) in 1989. Uses chi-square values to determine that racial differences are highly significant for pitcher, catcher, shortstop, and outfielder. Includes appendix with 1993 player counts and seven suggested student activities. (SEW)

Investigations of scientific concepts using inquiry can be included in the traditional college lecture. This lesson uses the Learning Cycle to demonstrate therapeutic drug range, a basic concept in pharmaceutical science. Students use graphing to discover patterns as a part of data analysis and interpretation of provided investigation data.…

Recounts 6th grade students' investigations of combinations and graph theory that arose from a claim made on a Steak'n Shake menu. (YDS)

Discusses use and misuse of the graphic representation of statistical data. Provides examples of misleading graphs. (PKP)

Mathematical analysis and computer simulation methods are used to show that interactive models of context effects can exhibit classical context effects if there is variability in the input to the network or the network itself. Interactive models represent hypotheses about information-processing dynamics leading to the global asymptotic behaviors…

New methods of analysis--equations and graphs for iso-r(sup 2) contours--were introduced and used to illustrate location effects for pooled data sets. The "r(sup 2)" is the coefficient of determination. Results are used to highlight imprecise statements in the literature about the behavior of the correlation coefficient for pooled data…

Confidence envelopes for one-parameter, two-parameter, and three-parameter logistic item response models are illustrated. M-line plots showing the genesis of the envelope and the density of lines in the confidence region are described and illustrated. (Author/SLD)

Explores the effects of varying the coefficients in the general quadratic function using graphing calculators. (MKR)

Discusses a method of graphing polar equations using information from the Cartesian graphs of trigonometric functions. (MKR)

Investigates the relationship between a fourth-degree polynomial function's parameters and its graph. (MKR)

Gives an example of one danger of using graphing software without an accompanying mathematical analysis by illustrating what might happen if a student were capable of dealing with the drawing of the complete graph of a function only by using a technological tool. (MKR)

Notes that presence of heterogeneous regression slopes in an analysis of covariance design is equivalent to presence of interaction in randomized-blocks design. Describes modification of the usual graphical representation of heterogeneous regressions that can aid in interpreting significant regions for regression surfaces. (NB)