Shows how all primitive Pythagorean triples can be generated from harmonic sequences. Use inductive and deductive reasoning to explore how Pythagorean triples are connected with another area of mathematics. (KHR)

Presents activities to find Pythagorean triples using the TI-83, a graphing calculator. (KHR)

Discusses several solutions--correct and incorrect--for a "Food for Thought" problem from the May 2000 issue. Emphasizes the importance of proportional reasoning. (KHR)

This study compared instruction in addition using either a minimum addend strategy or drill and practice with 84 students either with or without learning disabilities (LD). Students with LD improved significantly only in the strategy condition, whereas general education students improved in both the strategy and the drill-and-practice conditions.…

Describes a multicultural enrichment project for 4th graders that highlights number systems and computation algorithms of various cultures. Discusses student responses and reactions. (KHR)

Describes a prime-number unit that targets middle school students learning about patterns, formulas, and large numbers while participating in a search for the largest prime number. (YDS)

Uses spreadsheets and programmable calculators to investigate limiting behavior in number patterns. (YDS)

Documents the experiences of two teachers and their kindergarten and first-grade students in working with calculators as an ongoing and integral component of their mathematical programs. Focuses on ways that the children and teachers use the calculator to develop ideas of number through explorations of numerals, counting, number magnitude, and…

Explores ways to help children make connections between whole-number multiplication and their notion of a fraction. Illustrates an approach to constructing fraction concepts that builds on children's whole-number knowledge using specially designed computer tools. (KHR)

Describes the Calculator-Aware Number (CAN) curriculum developed by the Primary Initiatives in Mathematics Education (PrIME) project. Summarizes the CAN curriculum as it relates to learning by children and use by teachers. (YP)

It is argued that number sense develops through meaningful, purposeful activities involving calculating, measuring, and estimating. Understandings that must be developed with each are discussed. More emphasis needs to be placed on thinking about the various procedures that can be used to solve problems and on interpreting the answers. (MNS)

Suggestions for incorporating number sense into lesson warm-ups, lesson development, and practice exercises are provided. Ideas for developing a positive climate for thinking numerically are given. Then when, where, and how to develop number sense are discussed. (MNS)

Simple experiences with probability can extend third graders' understanding of the need for fractions. Three activities are given which build on language-arts experiences and incorporate concepts in multiplication, graphs, and fractions. (MNS)

Several problem-solving activities involving only 0-9 to be used with sets of ceramic tiles are presented. Finding specified sums, differences, or products is the object of most of the problems. (MNS)

The article relates the British PrIME (Primary Initiatives in Mathematical Education) Project to children with special educational needs doing mathematics. The project's main aim is to improve the mathematical understanding and teaching skills of primary teachers. Activities using calculators are described. (DB)