Described is a strategy that allows students to experiment with probability without applying formulas to solve problems. Students are able to intuitively develop concepts of probability before formal definitions and properties. Sample problems are included along with BASIC programs for some of the problems. (KR)

Presents 14 distinct methods to determine the sine of the angle formed by the line segments joining one vertex of a square to the midpoints of the nonadjacent sides. Nine methods were developed by mathematics club participants preparing for mathematics competitions and the remaining five by faculty members. (MDH)

Presents a problem solving strategy developed by a second grade student that goes beyond modeling an intuitive or informal interpretation of an operation to solve division problems. Concludes that good teaching should build on pupil's existing preinstruction knowledge and recognize a pupil's attempts at creative solutions. (MDH)

This article presents a lesson plan for teaching students the third of five steps for solving mathematical problems, "lining up a plan." Steps for teaching students to visualize the problem and draw a picture of the problem are given. (DB)

Eye-fixation analysis of 38 undergraduates allowed identification of phases in solution of arithmetic word problems and location of students' difficulties with inconsistent problems within the phases. Results indicate that the locus of the inconsistency effect lies outside the execution phase of problem solving. (SLD)

Presents a study of problem-solving activities in a hypermedia representation of a theorem-proving problem. Qualitative analyses of user activities and responses to questions asked while using a system called HUGH&ME are described. The need for hypermedia-based tools to support expression and refinement of reasoning during problem solving is…

Quantitative literacy for students with deafness is addressed, noting work by the National Council of Teachers of Mathematics to establish curriculum standards for grades K-12. The standards stress problem solving, communication, reasoning, making mathematical connections, and the need for educators of the deaf to pursue mathematics literacy with…

Proposes that state legislatures are a laboratory for mathematics. Discusses the mathematics involved in the three income tax proposals submitted to the Connecticut General Assembly in 1991 and the effects that each plan would have on families. The proposals included a flat rate plan, a graduated rate plan, and a compromise proposal. (MDH)

Presented is a conversation with students that gives an insight into the ways students think about decimals. Students were introduced, with the use of a calculator, to decimal notation and systematic experimentation. What students had learned throughout this conversation is discussed. (KR)

This paper reviews 25 studies of intervention research in mathematics with subjects classified as mentally retarded. Research has primarily been conducted in three areas: basic skills and concepts; rule learning and problem solving; and applications, including time, money, and measurement skills. Results are discussed in relation to instructional…

Presented is the problem of determining alternative schedules for major league baseball. Equations of the schedule, conditions on the solutions, and solutions are discussed. (CW)

Fifty-two second-grade students were taught a generalizable problem-solving strategy for mathematics word problems. Results were mixed but were generally supportive of the notion that classwide student tutoring teams and direct instruction are useful adjuncts to teacher-led instruction in word problem solving in mathematics. (JDD)

A Reuleaux triangle is constructed by drawing an arc connecting each pair of vertices of an equilateral triangle with radius equal to the side of the triangle. Investigates the application of drilling a square hole using a drill bit in the shape of a Reuleaux triangle. (MDH)

Freudenthal was the founder of realistic mathematics education, in which reality serves as a source of applications and learning. Takes a newspaper article about reproducing a Van Gogh painting using plants in a field to exemplify a rich context problem containing elements of all areas of elementary school mathematics. (MDH)

Develops properties of tasks that are pedagogically efficient and allow students to discover mathematical concepts for themselves. Illustrates the structure and philosophy of powerful tasks for the concept of angle. Presents seven examples of powerful tasks, including two involving two-dimensional graphic systems. (Contains 39 references.)…