Explains the basics of spherical geometry and describes a series of activities developed for grade 6 middle school students. (YDS)

Describes the implementation of a real-world context focused on teaching proportional reasoning. (YDS)

Describes a lesson plan in which students design scale models of kitchens using proportional reasoning and measuring skills. (YDS)

Discusses problem solutions for questions originally posed in the column "Food for Thought from Jay's Diner." (YDS)

Shows how students explored geometric properties of the South Korean flag using proportional reasoning. (YDS)

Provides classroom suggestions for combining numerical, algebraic, and geometric techniques with the understanding of a simple method for computing square roots. Historical origins of the method illustrate the debt owed to ancient minds living in what are now India, Pakistan, Iraq, and Egypt. (Author/NB)

Examines student solution strategies to a problem that appeared previously in this journal. (YDS)

Focuses on the importance of building from mistakes in mathematics instruction to develop better reasoning and problem-solving abilities. (Contains 11 references.) (YDS)

Presents the Shopping Spree problem to teach students the concept of estimation. (Author/NB)

Describes the development of mathematical thinking as children construct a mini mall. Students learn the importance of cooperation with their peers as they explore mathematical concepts such as one-to-one correspondence, classification, intersection of sets, coin identification and values, addition, subtraction, and problem solving. (Author/NB)

Focuses on children making sense of multiplication. In an activity called "Silent Multiplication," students use what they know about easier multiplication problems to solve increasingly difficult, related problems mentally. (Author/NB)

Develops computational fluency using a game format. Activities involve a standard deck of playing cards. (Author/NB)

Presents responses to the Average Days of Spring problem that appeared in the March 2002 issue of this journal. (Author/NB)

Examines activities and children's thinking in four main areas of the Geometry Standard in the National Council of Teachers of Mathematics' (NCTM) "Principles and Standards for School Mathematics": (1) properties of shapes; (2) locations and spatial relationships; (3) transformations and symmetry; and (4) visualization. (Author)

Describes a series of lessons in which 6th grade students explore notions of rates of change and their effect on the shapes of graphs. Addresses aspects of the algebra content standard for the middle grades. (YDS)