Beginning with a simple computer program to teach a fundamental concept and building in small increments is suggested. For the topic of repeated operations, three activities, an extension, and some problems are given. (MNS)

Gifted students attending a week's summer mathematics program completed problems involving elementary number theory ideas and extensions. The sequence of these problems and strategies used are presented to help teachers looking for topics to enrich the mathematical experiences of students in middle grades or older. (JN)

This report summarizes findings of current research supported by the Office of Special Education Programs on effective mathematics instruction for students with disabilities. The first brief article notes that most special education teachers do not have sufficient knowledge about the National Council of Teachers of Mathematics Standards and this…

The first in a three-volume set, this book focuses on young children between the ages of four and eight as they construct a deeper understanding of numbers and the operations of addition and subtraction. Rather than offer unrelated activities, this book provides a concerted, unified description of development with a focus on big ideas, progressive…

This book was developed for teachers, youth group leaders, after-school child care providers, and parents, who may not have the time or the expertise to develop strategies for preparing students to be effective problem solvers. The content is organized in a pyramid style to make it easy to locate and grasp the information provided. Information on…

What is meant by meaningful instruction is discussed in terms of interest and relevance, pseudo-real problems, unconscious reinforcement, stories for symbols, and mathematical mirrors. That mathematics must be talked about with and by children is emphasized. (MNS)

Properties of the harmonic number triangle are listed, and ways of generating the elements of harmonic triangles are described. (MNS)

Students were encouraged to explore the concept of one million. A short pretest revealed many pupils could not easily comprehend a million. Research and practical investigations began to find "a million things." All students were reported to come through these experiences with a much better understanding. (MP)

The author promotes an earlier introduction of decimals than is currently standard practice in most elementary mathematics programs. Suggested activities and related skills are reviewed. (MP)

Two posters that can be used to provide experience in recognizing patterns in sequences of numbers are provided. Suggested number sequences for different grade levels are given. (MK)

A generalization of the golden ratio is made, called the silver ratio. Some examples where the golden ratio appears are provided so that the silver ratio appears. (MNS)

Third graders decided to collect 10,000 objects, first determining how many each child would bring. Grouping and other activities were involved, and each child wrote about the experience. (MNS)

Discusses the problem-solving attempts of second-grade students while solving a rate problem. (MKR)

A number for which the number of digits categorizes the number is called a star number. A set of star numbers having a designated property is called a constellation. Discusses nature and cardinality of constellations made up of star square, star prime, star abundant, and star deficient numbers. Presents five related problems for exploration. (MDH)

Suggests structured investigations as a method of teaching mathematics to preservice elementary school teacher. Presents an example problem that asks students to determine the maximum number of regions that can be created by connecting any two points around the circumference of a circle. (MDH)