Presents responses to the Marbles problem, which explores the many ways to arrange a given number of square tiles. (Author/YDS)

Discusses possible solutions for the problem of determining how many sandwiches were made with specific ingredients that appeared in the March 1998 issue of this journal. (ASK)

Presents the problem of doubling dough by creating a mixture of dough that doubles in volume every minute when placed in a warm oven. Discusses ways of proposing this question in the classroom. (ASK)

Presents a problem entitled "Puzzling Prices" for grades K-6. Students are given a combination of price tags and must determine the different amounts of money that could be made using different combinations. (KHR)

Presents a mathematics problem on patterns. Outlines and discusses the general problem-solving procedures. (ASK)

Discusses the Tiles and Sides problem from the December 2000 issue. Indicates that this problem is accessible to students at different grade levels. Presents samples of student responses and their teachers' analysis. (KHR)

Shares different students' solutions for a problem entitled How Much Film?, which appeared in the November 1997 issue of Teaching Children Mathematics. The problem has to do with how many rolls of film are necessary to take 687 pictures. (ASK)

Presents a problem for students in grades 4-6 on Venn diagrams with or without manipulatives. Lists questions for teachers to reflect upon during the problem-solving process concerning student understanding of problems, problem-solving strategies, assessment, and reasoning skills. (ASK)

These activities explore classification and logical reasoning by providing students with opportunities to generate multiple answers and engage in multiple classifications of the same item. No solutions are suggested so that students will look to themselves as the mathematical authorities. Sample items for classification include birthday months,…