Middle and High school students of the twenty-first century possess surprising powers of spatial reasoning. They are assisted by technologies not available to earlier generations. Both of these assertions are demonstrated by students who are challenged with George Polya's classic Five Planes Problem. (Contains 5 figures.)

Dissection work with two-dimensional shapes is discussed, and patterns to be copied are given on three worksheets. A fourth worksheet contains instructions for pupils to make their own shapes and dissect them. (MNS)

Some activities with tangrams and their use for investigating fractions, constructions, and percentages are presented, with worksheets included. (MNS)