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)

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 responses to a problem that appeared in the May 2000 issue. The problem was to determine different ways to divide 8 cookies between 3 people. Includes student work from grades 1, 3, and 5. (KHR)

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

Presents a word problem designed to encourage students to create systematic methods for counting and develop probability concepts. Involves sharing eight cookies between three people. (KHR)

Discusses a problem that appeared in the September, 1999 issue of this journal and presents solutions from students in grades 2-6. The question involved using colored cubes rearranged to make different stacked towers. (KHR)

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)

Discusses the importance of having students pose their own questions and write problems. Proposes a subject related to the heart, blood, and the life-giving potential of blood. Provides related internet sites from which teachers can get information. (ASK)

Presents mathematics activities focusing on explorations in the environment that include visual or geometric components. (ASK)

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)

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

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,…