An approach to how to expand explorations of determinants is detailed that allows evaluation of the fourth order. The method is built from a close examination of the product terms found in the expansions of second- and third-order determinants. Students are provided with an experience in basic mathematical investigation. (MP)

A sample problem shows some pitfalls in approximating square roots when working with calculators or computers. (MP)

LOGO (a computer language) is designed to provide an environment in which learners determine a problem to solve, make choices, experiment, try out solutions, and build on what they already know. Student activities using LOGO and the teacher's role in a LOGO classroom are discussed. (JN)

An approach which seeks to stimulate interest in mathematics by enabling a student to use his knowledge in a nontrivial application is discussed. An example of how the approach was implemented is presented with an assessment of the results as measured by student reactions. (Author/TG)

The author advocates a return to the teaching of logic in the public schools. Methods of lessening student difficulties in learning are highlighted and current school projects are discussed. (MP)

Examines the scope and quality of reflection-in-action displayed by six beginning teacher specialists as they provided each other with support. Analyzes 12 videotaped peer-assistance sessions using self-selected pairs. The most reflective episodes occurred when the specialist engaged the ethic of inquiry, raising questions and enjoying multiple…

Originally marketed as a personal organizer for mobile business executives and ardent technophiles, the handheld computer is beginning to catch educators' notice. A handful of school districts are piloting large-scale use of these portable devices, ranging in price from $149 to $450. (MLH)

This resource book contains 18 magic number tricks that spark the interest and imagination of students as they are led through a variety of mathematical computations and discoveries. Following each activity, students are asked to write about their discoveries and create their own magic tricks. A matrix of skills for all the activities and lists of…

An activity-based unit on congruence and similarity is described. The themes underlying the unit are the usefulness of analogy in determining mathematical principles, and the notion that the number of conditions imposed on figures affects the number of factors which must be specified to insure congruence or similarity. (SD)

A computer language that can be used by people of all ages, Logo allows children the freedom to direct their own learning. Integrating Logo into the curriculum provides students the opportunity to program a computer, to engage in logical, sequential thinking and planning, to solve problems, and to manipulate text, language, graphics, and music…

When a simple game was presented as a challenge to a primary-school girl, she solved the problem, and went on to generalize her solution. (SD)

Numerous mathematical examples are presented which illustrate and raise questions about students' tendencies to overgeneralize. (BB)

Discusses inquiry and discovery methods in elementary school science education; emphasizes the importance of teachers knowing whether they are using the inquiry approach and to what extent. Presents a chart listing the steps involved in problem solving, indicating whether a step is teacher- or student-controlled. (BC)