Three activities that involve space perception, the concept of geometric equivalence, and Euler's formula regarding regular polyhedra are described. (JT)

Three experiments which use probabilities to approximate pi are described. (JT)

Provided are four worksheets that are designed to capitalize on the use of calculators as teachers' partners in helping students to develop an intuitive feeling for percentage. Students also learn how to use the calculator's percent key to compute percentages. (MNS)

The author argues that the "least number principle" (well-ordering for positive integers) is more intuitively acceptable to high school students than mathematical induction which can be derived from it. (SD)

Worksheets are provided which lead students to discover and apply the formula for the number of diagonals of a polygon and to play and analyze the game of SIM. (DT)

Using a set of worksheets, students will discover and apply Euler's formula regarding connected planar graphs and play and analyze the game of Sprouts. One sheet leads to the discovery of Euler's formula; another concerns traversability of a graph; another gives an example and a game involving these ideas. (Author/KM)

Worksheets are provided which lead students through an exploration of symmetry groups of geometric figures. (DT)

Materials designed to promote student investigation of factoring quadratic polynomials over the integers through using a physical model are presented. Pupils are expected to discover regularities that will permit them to factor such polynomials at the symbolic level. Worksheet masters designed for classroom use are provided. (MP)

A series of maps is presented for coloring with the fewest possible colors. (SD)

Activities designed to lead pupils through the process of using the basic measuring and drawing devices of geometry are presented and move to the discovery of several surprising generalizations about arbitrary triangles. (MP)

This annotated bibliography includes activities with calculators in the areas of computational skills, geometry, measurement, number pattern recognition, and probability. (MK)

Thirty-three studies, each comparing the effectiveness of individualized vs group-based instruction in facilitating mathematics learning, are tabulated according to author, grade level, mathematical content, test used, and direction of significant differences. Results of 19 studies comparing the effects of grouping on attitudes towards mathematics…

On these worksheets, students are to graph pairs of linear equations and linear combinations of these pairs, using the results to discover an algebraic technique for solving a system of epuations. They then complete, run, and modify a computer program for solving a system of linear equations. (MNS)

Topics from graph theory are introduced at an informal level and thereby made accessible to the majority of secondary school students. Three worksheets are included. (MNS)

Worksheets for duplication are provided for this activity designed for students in grades 6-10. The objective of the activity is to have students discover generalizations about the patterns formed. (MK)