This study makes available the findings of the research in the teaching of mathematics reported to the U.S. Office of Education during the calendar years 1959 and 1960. To secure the data for this study the U.S. Office of Education, with the aid of the Research Committee of the National Council of Teachers of Mathematics, sent a questionnaire to 454 colleges that offered graduate work in mathematics education, or whose staffs or students had made previous contributions in that area. Data were received from 247 colleges or research workers. Instead of attempting to classify the research on the basis of the major emphasis of each study, this study is organized according to pertinent questions in mathematics education. These questions and analyses are grouped under three headings: (1) Research in the teaching of elementary school mathematics; (2) Research in the teaching of high school mathematics; and (3) Research in the teaching of college mathematics. The document includes recommendations for future research and identifies unanswered questions in the teaching of mathematics. Appended is a summary of research studies. It is hoped that this summary analysis of research in mathematics education will be helpful to both research workers and classroom teachers in improving mathematics instruction. [Best copy available has been provided.]