In his new book, Reuven Feuerstein explains the program he has developed to improve human ability to learn and to solve problems. (Author/MLF)

Student errors led to this exploration of the conditions under which log of x base a = x. The discussion requires only techniques contained in a first-year calculus course. (MP)

Presents an activity related to probability in order to answer a question based on the English football league. The question is "What is the probability that the FA Cup Final will be between the same two teams that played in the previous tournament?". (ASK)

Presents activities to demonstrate that current technology allows readily accessible representations in algebraic, numeric, and geometric forms. Argues that integrating these different representations into the curriculum helps students to think more critically about systems. Discusses problem solving using multiple representations, equivalent…

Compares misconceptions associated with electric circuits between high school students in the People's Republic of China and in the United States. In general, findings indicate that the Chinese students did better on the problems than did the American students. Discusses the importance of physics in the Chinese curriculum. (JRH)

Describes a combinatorics problem involving pizza toppings. Includes three activity sheets. (Author/NB)

Demonstrates what it might mean to engage students in problem posing and how teachers might begin to create classroom environments that encourage, develop, and foster mathematical curiosity. (Author/NB)

Discusses two controversies regarding instruction in critical-thinking: (1) definitions of critical-thinking skills; and (2) the design of instructional delivery systems that promote the generalized use of these skills. Suggests that teachers select specific skills to teach and define those skills with clear, objective descriptions based on overt…

Provides information on the problems with the Hubble Space Telescope and how the National Aeronautics and Space Administration is trying to fix it. Includes a student quiz and possible student outcomes. (JOW)

Examines ways in which students collaborate to construct, use, and revise conceptual and strategic knowledge as they solve complex genetics problems. Concludes that students used three types of knowledge during model revision: knowledge of genetics, knowledge of the process of model revision, and knowledge of their own problem-solving strategies…

Discusses the continuity equation and presents two real-life problems involving salmon survival and the construction of dams. (JRH)

Explores trapezoidal numbers, which are the result of subtracting two triangular numbers. Includes classroom activities involving trapezoidal numbers to help students develop their problem-solving skills. Includes reproducible student worksheets. (MKR)

Revisits and discusses the polar bear problem that was published in the March 1997 issue. The problem concerns a riddle: If you walk one mile south, one mile east, and one mile north, and end up in the same spot as you started, what kind of bear would you see? (ASK)

Focuses on solutions to a single problem using both induction and deduction by utilizing a TI-82 graphing calculator to illustrate symbolic, numerical, and graphical approaches to the problem. (ASK)

Examines situations from the viewpoint of how a solver sees a mathematics problem situation to obtain some insights into the kinds of activities that help solvers overcome states where they get stuck. Discusses the importance of investigating problem situations and gathering information about them and the relationship between such activities and…