This publication contains the substance of all papers submitted at the fall 1974 Association of Teachers of Mathematics in New England (ATMNE) conference. As the title indicates, the focus of the publication is directed toward mathematical applications. The 25 papers cover topics ranging from applications at the elementary school level to those involving college level mathematics. Subjects of the papers include: function concepts in intermediate grades; mathematical modeling for election decisions; mathematics applications to music, art, grocery store arithmetic, vocational-technical school, economics, communications, ecology, and traffic flow; research and applications; Euclidian geometry; audio-tutorial instruction; computing pi; tanagrams; UISCM materials; the Developing Mathematical Processes program; and computer approximations. Some of the articles include bibliographies and/or references. (JBW)