Your department editor has been doing a great deal of thinking and reading concerning the role of applications in mathematics instruction. Following are several key references which we have found: “The Necessary Redirection of Mathematics, Including its Relation to National Defense,” by William Betz in The Mathematics Teacher, April, 1912, page 147; “The Use of Applications for Instructional Purposes,” by Edwin G. Olds in The Mathematics Teacher, February, 1941, page 78; “The Mathematics Most Used in the Sciences of Physics, Chemistry, Engineering and Higher Mathematics,” by George II. Nickle in The Mathematics Teacher, February, 1942, page 77; A Study of Problem Material in High School Algebra by Jesse Powell, Contributions to Education, No. 405, Teachers College, Columbia University, 1929.