This bulletin provides an overview of research studies which relate to the teaching of certain mathematical topics in the elementary school. The studies cited pertain directly to the following questions: (1) What measurement and geometry is included in textbooks and programs? (2) What do children know about geometry and measurement? (3) What can they learn about geometry and measurement? (4) What aspects of graphing can be learned? (5) How can we help pupils understand our numeration system? (6) What effect does the teaching of properties and relations have? (7) What can pupils learn about integers? (8) What set concepts facilitate achievement? (9) What can children learn about probability and statistics? (10) What can children learn about logic? (FL)