Presents several types of functions which fit a given set of data and create opportunities for classroom discussion comparing different kinds of functions and identifying some of the potential hazards associated with extrapolation from best-fit functions. (DDR)

Highlights combinatorial problems appropriate for students aged 4 to 12 years that utilize manipulatives in a hands-on approach. Examines and identifies students' strategies and self-monitoring techniques that produce effective problem solving. (MDH)

Presents six learning exercises that introduce students to the mathematics used to control and track spacecraft attitude. Describes the geocentric system used for Earthbound location and navigation, the celestial sphere, the spacecraft-based celestial system, time-dependent angles, observer-fixed coordinate axes, and spacecraft rotational axes.…

Describes an eight-day graphing unit for grades four through six using data collected from a local cemetery. Provides the activities of each day and excerpts of discussions taking place during the lessons. Concludes that working with real data helps students construct meaningful graphs. (MDH)

Investigated gender-related differences in the process of solving routine word problems using a nine-step strategy in (n=153) sixth- and (n=149) eighth-grade students. Females were slightly better than males at following the prescribed problem-solving process. Includes test items. (39 references) (MKR)

Described is the use of story telling as a context to introduce mathematical concepts by providing a model, offering problem-posing situations, stimulating investigation, and illustrating concepts. Examples of appropriate stories are given for the primary and low secondary levels. (MDH)

Describes an activity that demonstrates a teaching-learning model in which students ask yes or no questions to determine an unknown number on a number line. Provides a sequence of five steps to carry out the activity and suggestions for extending and expanding the activity for different grade levels. (MDH)

Describes "The Adventures of Jasper Woodbury," a series of four problem-solving videodisc adventure stories designed for research purposes that provide students with open-ended problems based on real-world situations. Presents design principles, research results, the teacher's role, and technology issues related to the utilization of the…

Inservice teachers (n=180) participating in seven mathematical problem-solving workshops were asked to define problem solving. An item analysis of the written responses indicated that 67% of the responses were conceptually or terminologically vague. Precise definitions fell into three categories: strategy-based (12%), skills-based (9%), and…

This article examines students' ability to use the balance model to solve for unknowns. A teaching experiment was conducted in four Year 3 classrooms. This experiment focused on exploring the application of the balance model as an analogue for representing equations and solving for unknowns. The teaching experiment promoted a shift by students…

A central theme of Mandler's theory of emotion is that the interruption of a cognitive activity sets the stage for emotion. Mandler's theory is particularly applicable to mathematical problem-solving experiences. Mandler's linking of emotion to perception also makes emotion during problem solving an excellent candidate to be modeled with…

A model for population growth is described. (SD)

Two questions are dealt with: (1) Can those strategies or behaviors which enable experts to solve problems well be characterized, and (2) Can students be trained to use such strategies? A problem-solving course for college students is described and the model on which the course is based is outlined in an attempt to answer these questions. The…

This project endeavored to develop a high school course for use in the classroom and for use with a computer-controlled system of programed lessons. Many difficulties such as those in the display and control of figures were encountered in trying to organize and prepare the material for the computer. The conclusion reached was that the solution to…