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)

A Washington State first-grade teacher and her students created the Learning-Centered Curriculum-Making Project, developing each unit over a two-week period and highlighting language and thinking skills related to various subject disciplines. They used dialog, coaching, modeling, questioning, and reinforcing techniques. Students helped select…

Presents three patterns found in math for elementary students. Spirolaterals are patterns made by repeatedly tracing a series of three numbers in four directions on dot paper. Tessellating can be a combination of teaching about patterns, geometry, and art. The King's Problem requires recognition of a problem to find a solution. (PR)

Presents criteria for designing craft activities that foster meaningful use of mathematical thinking and problem solving. (MKR)

Describes how teachers can present their students with a variety of experiences that promote the thoughtful use of calculators and a positive attitude in students and parents. Discusses using classroom banks, problem solving, writing word problems, holiday catalog ordering, and parent education. Includes sample activity pages. (MKR)

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

Illustrates various methods to determine the perimeter and area of triangles and polygons formed on the geoboard. Methods utilize algebraic techniques, trigonometry, geometric theorems, and analytic geometry to solve problems and connect a variety of mathematical concepts. (MDH)

Presents three investigations related to the game Bulgarian Solitaire. Investigations ask students to find and represent optimal solutions to the problem, to identify cyclical solution patterns for different numbers, and to respond to questions involving the number and nature of the cyclical solutions. An appendix provides answers to questions.…

Presents three investigations that extend the problem of counting the number of squares on a grid in two dimensions to an analogous problem of counting the number of cubes in a three-dimensional cubic array. (MDH)

Utilizes a computer-generated graph to solve an equation for methods using trigonometric tables or less sophisticated calculators would likely fail because of round-off errors and limitations of the instruments. Discusses how this new technology can be utilized in mathematics instruction. (MDH)

Presented is a concrete, realistic way of representing concepts of coordinate geometry. Students represent the coordinates in a living version of a five-by-five square geoboard. Procedures and examples for using this activity are included. (KR)

Presented is the solution to the problem of calculating the probability of winning or losing a game played by moving a counter from the center of a hexagonal grid according to the number shown after the toss of a die. The exercise is an example of an interesting mathematical investigation. (MDH)

Using the notion of the difference between a number and its cube as a starting point, this article presents a wide range of mathematical activities at varying levels of sophistication utilizing numerical, intuitive, and graphical approaches. (JJK)

Presents a model that uses online searching to teach critical thinking skills in elementary and secondary education based on Bloom's taxonomy. Three levels of activity are described: analyzing a search statement; defining and clarifying a problem; and focusing an information need. (Contains 13 references.) (LRW)

The purpose of this paper is to show, by computer examples, that very different results can be obtained by rearranging selected conditionally convergent series. Computer programs allow the students to select the real number to which they wish the rearrangement to converge. Two computer programs are appended. (KR)