The use of technology allows students to look at mathematical concepts in many different ways. With a variety of perspectives, studying ideas that were at one time difficult to understand are possible. Mathematics learning focuses more on concepts and less on computations. Various sequences including arithmetic, geometric, and partial sum can be…

This book is a reference and guide for teachers and parents who may not be aware of the resources available to help their students succeed. This book examines the many aspects of gifted thinking in relation to math and science and features competitions and curricula that can be easily adapted to students lifestyles outside of the classroom.…

As increased use of technology and empirical science spreads throughout the global community, the use of data and graphs to communicate information increases also. This digest offers resources for teaching and learning about probability and statistics. It begins with key issues and continues with recommendations to overcome the difficulties in the…

This book contains a set of versatile enrichment exercises that cover a very broad range of mathematical topics and applications in pre-algebra from the Moebius strip to the googol. Several criteria have been used in developing the activities and selecting the topics that are included. All of them bear heavily and equally on concerns for…

Discusses drawing a Pythagoras diagram in the context of how computer software influences mathematical understanding. Requires different understandings of what the diagram involves in order to be successfully completed in different environments. Suggests that while LOGO is often expected to be easier, a graphic calculator can be less demanding.…

Explores different types of Bingo games in which students can work on mental arithmetic, solve equations, and recognize geometric shapes. (KHR)

Defines virtual manipulatives and stresses their advantages for classroom use. Presents examples on the Internet and discusses current and potential use of virtual manipulatives. (KHR)

Investigates the effects of computers and Internet technology on teaching and learning. Presents electronic examples that integrate well with high-quality mathematics instructional programs. (KHR)

Discusses the benefits of integrating the history of mathematics into mathematics classes. Provides some worksheets for undertaking this task. (ASK)

Provides information about mathematician Jamshid al-Kashi and his work on calculating mathematical values such Pi or Sin(1). (ASK)

Describes a way to assign points to the problem-solving process. Provides a rubric-scoring example. (ASK)

Presents detailed information about the Cape of Good Hope project in which pairs of students designed capes and cloaks out of the garbage bags for a fashion show. Also describes student objectives, unit goals, group activities, products required, and the final show and presentation. (ASK)

Investigates the cereal box problem using both an experimental and theoretical framework, and Monte Carlo methods. Using empirical data, students can discover patterns and relationships that help them understand the origin of the theoretical solution to the problem. Contains 17 references. (Author/ASK)

Uses match sticks to construct various polyhedra in the Euclidian space R3. Formalizes the idea of a match-stick construction and characterizes all obtainable points with such constructions algebraically. Specifies all the constructible ones among the uniform polyhedra. (Author/ASK)

Presents remarks adapted from the presidential address given at the 1999 annual meeting of the National Council of Teachers of Mathematics (NCTM). Explains that the mathematics classroom teacher must create an environment that supports students, mathematics growth at many different levels, and ways in which to accomplish this. Considers changing…