This is a series of research projects that can be used for enrichment of the middle school mathematics curriculum. It is suggested that the topics are either not found in the standard curriculum or represent a more indepth study of standard topics. The areas considered are: microcomputer programs; divisibility; magic squares; pentominoes; the history of mathematics; the metric system; mathematics and home economics; stamps that depict history and mathematicians; tangrams; applications of mathematics in nursing; exploring angles; explorations in modular arithmetic; investigating programming languages; Archimedes; and ancient numeration systems. A guide following many projects furnishes essential information or hints and may also include drawings to present crucial information. The references are listed near the end of each unit. Many of the units include ideas for further investigation. The material has been put into reproducible form for student use. The teacher notes for each unit include key information and solutions when appropriate. (PK)