Presents selected responses to the question "The Farmer's Dilemma" that represent the thinking of sixth-, seventh-, and eighth-grade students. Indicates that by being given the freedom to use a variety of methods, most students found at least one solution or demonstrated an understanding of the restrictions set by the problem. (ASK)

Presents historical mathematics to students. Suggests allowing students to have two methods of problem solving with a graphing calculator to allow for a visual result. Indicates that students should have more than one opportunity to experience a solution to a problem, a variety of contexts for the problem, and an opportunity to communicate. (ASK)

Describes spreadsheet activities that illustrate a problem-solving approach to teaching statistical concepts, allowing students to explore properties underlying descriptive statistics before being introduced to computational rules. (MKR)

Presents an activity through which students develop mathematical concepts connected to area and perimeter in a rich, real-life setting and use tables, graphs, diagrams, and spreadsheets to explore the problem, see relationships, and make and test conjectures about those relationships. Encourages algebraic thinking. (SYB)