KeyMath Revised was devised as a power test for use with students from kindergarten through grade 9. The test is divided into three dimensions: basic concepts, operations, and applications. This paper describes the test's administration, summation of data, standardization, reliability, and validity. (JDD)

Presented is an exploration of a number of ways these quantities can be demonstrated and some interconnections between them. Discussed are triangular numbers, sums of squares, sums of cubes, table squares, and counting rectangles. (CW)

Illustrated is the use of computer algebra software to assist in both a computational and theoretical way to develop the underlying theory of polynomials and the partial fraction decomposition of a rational function. Background information and a discussion of theoretical considerations are provided. (KR)

Discusses the contributions in each chapter of the book, highlighting the textbook analyses for each arithmetic topic presented. (MDH)

Presents a mathematics activity involving a function box for students to develop an understanding of patterns, relationships, and functions. Uses the function box as an aid in teaching about squares, cubes, and circles. (ASK)

Many Native Americans struggle with mathematics because they cannot see its relevance. Comments from three Native Americans reveal how art, culture, and math can be taught in an integrated fashion through beadwork. Elementary school children can experience nearly all mathematical concepts presented in school through beadwork, which also teaches…

Discusses key areas in science that require students to have a well-developed sense of numeracy for full understanding. Suggests that some of the difficulties students have with numeracy arise from not distinguishing between the teaching of facts and skills and teaching through conceptual understanding. Makes some recommendations for correcting…

The Monte Carlo method provides approximate solutions to a variety of mathematical problems by performing random sampling simulations with a computer. Presents a program written in Quick BASIC simulating the steps of the Monte Carlo method. (ASK)

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)

Describes some basic difficulties in early algebra and their causes and presents some strategies for overcoming them. Lists five areas as being essential foundations for learning algebra: (1) seeing the operation, not just the answer; (2) understanding the equals sign; (3) understanding the properties of numbers; (4) being able to use all numbers;…

Compares the effects of two types of feedback on mathematical reasoning in a computerized Israeli sixth grade class. Metacognitive feedback (MF) is based on self-regulation learning using metacognitive questions that serve as cues for understanding the problem, and results feedback means giving cues that pertain only to the final outcome.…

Explores parallels in children's moral and mathematical judgments. Considers how children coordinate these judgments with concepts of authority, particularly when using conventionally determined symbol systems to convey logical and social meanings. (JPB)

Discusses ways for middle school teachers to encourage their students to discuss mathematical concepts in the classroom. Considers setting up the classroom environment to facilitate mathematics discussion, the role of the teacher, small group discussions, whole-class discussions, and student presentations. (JPB)

This article argues that the reason the mathematics performance of students with mild disabilities is so limited is the mathematics. Using illustrations from subtraction, the article proposes number sense be a primary goal and that within the realm of number sense, big ideas be included among the dependent variables. (Contains references.)…