This document, one of four volumes comprising the 1995 Goals Report, is the fifth in a series of annual reports. This core report for 1995 focuses on approximately two dozen indicators that show the progress made by the United States toward the National Education Goals. National performance has improved in five areas, gotten worse in seven, and, in eight areas, no significant changes in national performance have occurred. Progress has occurred in the areas of student readiness and mathematics achievement; participation in Advanced Placement examinations such as English, mathematics, science, and history; and early prenatal care. However, there has been some decline in the area of providing safe environments conducive to learning. The report focuses on the essential role that families play in helping to achieve the National Education Goals and suggests ways in which schools can involve them in partnerships. State and national progress on the core indicators is presented in detail. Twenty-five figures and eight tables as well as the 1995 National Education Goals Report Questionnaire are included. Appendices contain technical notes and a list of the National Education Goals panel staff. (LMI)