Rich and stimulating instruction in geometry can be provided through playful activities with mosaics such as pattern blocks or design tiles. Presents an intriguing mosaic puzzle to describe activities at various developmental levels and how the activities can help develop children's geometric thinking. (ASK)

Presents interesting activities to develop mental imagery and the ability to transform these images. Concludes that using images facilitates mathematical thought in numerical and geometric settings. (ASK)

The amount and placement of instructional time devoted to various types of computation are crucial. Reviews messages regarding what and how computation should be developed in elementary school mathematics and offers a proposal for a K-8 computation curriculum. (ASK)

Presents an activity that utilizes a digital camera to capture a stream of water from a faucet to study quadratic behavior using graphing calculators. (ASK)

Provides examples of student work on a problem which shows that students solve problems in several different ways. Discusses challenges to the teacher that might result from problems such as these. (ASK)

Presents building-up strategies and activities for preservice teachers to help students move from using informal strategies to expressing proportional relationships in algebraic terms. (ASK)

Describes a problem-solving lesson involving 24 attribute blocks in which students discuss relationships between patterns, colors, shapes, and quantity. (ASK)

Demonstrates examples, one of which is an extension of "guess and check," to include variables rather than numbers. The quadratic equation az2+bz+c=0, is solved by assuming a complex solution of the form z=x+iy. Explores the use of deMoivre's theorem in deriving trigonometric identities with other examples. (Author/ASK)

Presents responses to the pattern problem that appeared in the November 1998 "Problem Solvers" section of this journal. (ASK)

Describes a process of data collection with young children using the outdoors as a mathematical context. The process of data collection and processing introduces children to more abstract mathematics as they sort and classify data, create graphs, compare datasets, examine patterns, and interpret graphical representations. (ASK)

Reviews the historic relationship between logic and the mathematics curriculum. Proposes a list of logical elements for modern school mathematics. Checks the current national curriculum against this list and finds it to be deficient, especially in relation to the development of ideas of proof. Presents arguments for reform. (Contains 29…

Describes a project that features a video in the form of a documentary built around a series of six case studies in mathematical thinking: geometry, number, measurement, algebra, chance and data, functions, and calculus. Chooses an example from each area to illustrate inductive and deductive thinking-patterns and proof. (ASK)

Presents graphing calculator activities that rely on resolving the magnitude and direction form of vectors into their Cartesian components so that they are suitable as applications for vector or trigonometric relationships for years 10-12. (ASK)

Presents an activity using fractal cards--eye-catching pop-up cards--by applying simple iterative processes to single sheets of paper. This activity incorporates the concepts of measurement, number systems, sequences, series, limits, recursion, iteration, self-similarity, and fractional dimensions. Contains 12 references. (ASK)

Presents an activity for eighth-grade students and beyond to explore relationships between and among the areas of various polygons. Emphasizes that students should be given the opportunity to design their own examples. (ASK)