Reviews some fundamental mathematical ideas on sets and counting. Provides problems based on those ideas and their answers. (ASK)

Presents two activities on addition, one for classifying and one for symmetry. (ASK)

Presents a game in which students are told to say 'Fizz' on multiples of two and 'Buzz' on multiples of three while the teacher proceeds to count upward by one. (ASK)

Describes how games can be used to help children practice their arithmetic by using a game-playing format. (ASK)

Presents activities that are the result of reflections on trial-and-error experiences teaching about numbers to young children. (ASK)

Provides some examples of mathematics problems that have solutions involving triangular numbers. Illustrates the observation of number patterns from which conjectures and generalizations can be made. Suggests other extensions for further investigation. (ASK)

Provides opportunities for children to develop visual images of the number situations they are exploring in order to develop powerful number sense. Illustrates two visual teaching aids to help young children develop number images. (ASK)

This book features a collection of 54 decimal number puzzles designed to provide experiences in problem solving and mathematical reasoning for middle and high school students. Each puzzle consists of a sequence of 10 clues about an unknown decimal number. The clues, when revealed one at a time, lead students through deductive reasoning to the…

Children today are very different from children of even five years ago. More and more children are recognized as having learning difficulties, and their self-esteem is more fragile than ever. Children used to TVs, VCRs, cellular phones, computers, and Gameboys demand high-interest activities rather than the "skill and drill" methods of a decade…

Presents an activity introducing probability and patterns to multigrade students. Uses the storybook "The Thirteen Days of Halloween" to demonstrate numbers, patterns, and probability. (ASK)

Describes a number line activity based on students' individual timelines to help students understand the concepts of integers and rational numbers. Middle school students and their parents construct a number line using positive and negative rational numbers to represent dates of events before and after the student's birth. (KHR)

Discusses the Tiles and Sides problem from the December 2000 issue. Indicates that this problem is accessible to students at different grade levels. Presents samples of student responses and their teachers' analysis. (KHR)

Discusses the use of quick-image activities in which the teacher flashes one particular image consisting of dots on the overhead projector screen for three seconds, hides it from view, then asks students to tell how many dots were shown and to describe what they saw. (ASK)

Describes an activity in which students investigate the symmetry of factor sets of composite numbers using the TI-83 graphing calculator. This activity allows students to observe patterns, make predictions, and verify their accuracy. (ASK)

Evaluated an instructional procedure that focused on reflective problem-solving and used young children's fascination with stars as a starting point to develop their concept of numbers. Found that test group performance on mathematics problem- solving tasks indicated developing understanding of the concept of numbers 1 through 5, compared to that…