This book contains 40 lessons in problem solving divided into five chapters. Chapter 1 contains several lessons in which solutions are derived through investigation of numerical patterns. Chapter 2 contains lessons in which problem-solving situations are presented in a graphical context. It also includes two lessons in which students construct…

Calculation of the percentage of work completed when the edges of jigsaw puzzles have been assembled provides interesting problems. (SD)

In this article, the author comments on the article "Solid geometry in the works of an iron artisan,'" Castro, 23(3). The author finds it interesting to read about the implicit mathematical knowledge of ironworkers, weavers, tailors and other practitioners as they undertake their various crafts and professions. In the article, Fernando…

The author outlines a possible approach to the discovery of Euler's Theorem that results from a search for a classification of polyhedra. (MN)

The problem of inscribing a square in a semicircle and related problems are discussed. Solutions to the problems are provided. (FL)

The present problem was derived from the knowledge that if the midpoints of the sides of any quadrilateral are connected, a parallelogram would be obtained. The author explores what would happen if similar procedures were applied to pentagons, hexagons, and other geometric forms. (RP)

Presents two equivalent forms of the Pythagorean theorem, and a form for finding the area of a right triangle. (RP)

Two units are developed that provide the student with experience in constructing auxilary lines that are often needed in formulating geometric proofs. (MP)

Three approaches to the same geometrical problem are presented to demonstrate the role of intuition in mathematics and to clarify the concept of insight. (MP)

Presents responses to the Mathematics of Motion problem which includes estimating the area of shapes on grid paper. (Author/YDS)

Presents an overview of the 6-8 Standards and their rationale. Demonstrates the need for a cohesive mathematics curriculum. (YDS)

Presents student solutions to a problem using different strategies that focus on kitchen geometry. (YDS)

Presents the Shape Search problem to develop student visualization. Focuses attention on the National Council of Teachers of Mathematics (NCTM) Geometry Standard. (Author/NB)