Gives an example of an open exploration using trigonometric relationships in which the law of cosines can be deduced from the law of sines. Discusses the characteristics and value of the exploration process. (MDH)

Hypermedia provides an easy-to-use option for adding visualization, via the computer, to the classroom. Some examples of this medium are presented, including applications in basic linear algebra and calculus, and a tutorial in electromagnetism. (Author)

Describes an experiment to determine which of four objects, hollow cylinders, solid cylinders, hollow balls, and solid balls, will reach the bottom of an inclined plane first when released simultaneously. Provides solutions to the problem and supplementary exercises. (MDH)

Presents illustrated examples that promote problem solving through the student's consideration of a visible predicament from a three-dimensional viewpoint rather than the typical planar perspective. Includes six student exercises involving rays, circles, quadrilaterals, and hexagons, with hints and solutions provided. (JJK)

Presents the use of spreadsheets as an alternative method for precalculus students to solve maximum or minimum problems involving surface area and volume. Concludes that students with less technical backgrounds can solve problems normally requiring calculus and suggests sources for additional problems. (MDH)

This section includes eight problems to which the journal invites readers to respond. Problem topics include angles in alternate segments, pentominoes, a new triangle of numbers, cricket scores, symmetrical pentagons, inequalities, a pythagorean dissection, and magic squares. (MDH)

Presents the game "Life91," an adaptation of Conway's "The Game of Life." Played on a hexagonal board, the game generates number patterns of population size by rules that determine cell growth and death from one generation to another. An example illustrates the process. (MDH)

Presents five activities for multiple grade levels and family use that connect mathematics and football by using the Super Bowl. Mathematical concepts involved in the activities include number sense, geometry, measurement, statistics, estimation, and problem solving. Includes reproducible worksheets. (MDH)

A home school project was adapted from Crews' picture book Ten Black Dots. Students in four first grade classes engaged in diverse numeracy encounters in child-family interactive math learning exercises using children's literature bags. The planned activities met the K-4 Curriculum and Evaluation Standards of the National Council of Teachers of…

The present investigation focused on classroom discourse processes and participatory structures that grant sources of mathematical authority. In general, teachers firmly and with few exceptions positioned themselves as the sole mathematical authority in classrooms. There was, however, one significant exception in one classroom that provided a…

Challenging problems can make mathematics more attractive to all learners, including the gifted. Application problems that one still finds in regular textbooks often can be resolved by applying a single mathematical concept, operation, or formula. These problems do not require a higher order of thinking. They are, therefore, less cognitively and…

The current period in mathematics education can be characterized as one of reform. Many feel that children in the United States are not learning enough appropriate mathematics; these critics are concerned with the specific areas of problem solving and children's conceptions of the nature and uses of mathematics. A pretest/posttest experimental…

This collection of teaching materials contains information and activities which connect language arts and mathematics. Materials in the collection include: a statement of fundamental assumptions about language, literacy, and learning; objectives for mathematics as communication and mathematical connections; a discussion of a new approach to…

Mathematics and science instruction in schools often poses a challenge for limited-English-proficient (LEP) students. This paper discusses how the various curriculum development and assessment projects sponsored by the California Academic Partnership Program (CAPP) implement techniques for learning and teaching mathematics and science for LEP…

Written for teachers in elementary and middle schools and for personnel at outdoor education centers, this publication is the second in an ERIC/CRESS series on utilizing outdoor education methodologies to enhance the academic curriculum. The resource guide suggests ways of getting students interested in arithmetic and mathematics and how to make…