Discusses the extent of students' difficulties with spatial structuring in volume and packing problems. Explains how to help students develop more powerful ways of thinking about such problems. (ASK)

Presents small group activities and materials to emphasize geometric properties and definitions. Activities are designed to encourage student reasoning, communication, and measurement. (ASK)

Argues that interactive geometry computer software connects visual justification and empirical thinking to higher levels of geometric thinking with logical justification in formal proof. Presents classic geometry activities using The Geometer's Sketchpad interactive software. (ASK)

Using a constructivist and multicultural approach, math skills were taught in urban elementary classrooms. Acceptance of self and others, teamwork, problem solving, and critical thinking were emphasized. Game-formatted activities with hand-size wooden basketball goals and race cars were used to teach fractions and metrics. (MMU)

Discusses the use of children's literature to integrate language arts and mathematical problem solving in the middle school classroom. Considers selecting a book and writing the language arts and problem solving lessons; describes the process of creating and solving a mathematical problem based on a story. (JPB)

Describes a mathematics lesson using digital sums that allows teachers to assess third grade students' understanding of reasoning, arithmetic, and geometry. (ASK)

Presents a role-playing activity related to inequality and encourages students to look for inequalities in the world around them. (ASK)

Describes how multicultural children's literature was used to launch a series of lessons to help children gain insights into a wide range of mathematics concepts and cultures. (ASK)

"Big Math for Little Kids," a comprehensive program for 4- and 5-year-olds, develops and expands on the mathematics that children know and are capable of doing. The program uses activities and stories to develop ideas about number, shape, pattern, logical reasoning, measurement, operations on numbers, and space. The activities introduce the…

This study investigated the effect of students' ability and type of instructional program, structured and unstructured, on easy and difficult posttest items. Seventh-grade students worked through 14 instructional activities in The Geometer Sketchpad, a dynamic geometry program, and accessed a Geometry tutorial developed to parallel the state…

The aim of the research presented in this paper is to contribute to our knowledge about problem solving in mathematics. My purpose in this paper is to compare, from this point of view, two very different institutions in the French tertiary education system, with the intention to interpret the chronic inequality of performance in problem solving…

Estimation is an important skill for everyday living. Good estimators usually have a sound knowledge of basic facts, understand place value and use a variety of strategies to make their estimates. This paper describes an activity which is designed to provide students with opportunities to practice their rounding strategies with addition and…

In this article, the author discusses how he incorporates children's literature into the exploration and investigation of various math topics. After doing some activities, he has found that integrating different mathematical topics after discussing books can help children make the connection to mathematics in their daily lives.

This book is the result of the collaborative effort of nine AYA National Board Certified Teachers in Mathematics. It represents a compilation of teacher-tested activities that prompt high school students to explore, conjecture and reflect on their mathematical adventures-- thus "experience mathematics." This edition will educate the teacher…

This book is the result of the collaborative effort of nine AYA National Board Certified Teachers in Mathematics. Experiencing Mathematics, is a compilation of teacher-tested activities that prompt high school students to explore, conjecture and reflect on their mathematical adventures--thus "experience mathematics." The relevant nature of the…