Interpretations of findings of three National Science Foundation (NSF) surveys are presented. These surveys included a large-scale survey of teachers and administrators, case studies of individual schools, and a review of the literature. The first part of the document, Mathematics Teaching Today in the Elementary and Middle School, is subdivided…

This document is written for middle school teachers of grades five through nine who do not have specialized backgrounds in geometry. It is arranged in three parts. The first part provides a brief overview of the geometry curriculum of the middle school that includes the present state of affairs, a rationale for inclusion of geometry in the…

This document addresses issues raised during the Research on Teaching Mathematics Conference, examining them in view of the central tenets of the Institute for Research on Teaching at Michigan State University. It explains why teacher judgment is the focus of IRT research and discusses the concept of "the wisdom of the practitioner,"…

This study investigates the development of mathematical ability and understandings and explores the use of math games as part of a global model of preschool program evaluation. Eighty-three children (aged 3 3/4 to 4 years) enrolled in several programs in the Mt. Druitt Early Childhood Project, North Ryde, Australia, participated in the study.…

Results of a national survey to determine preferences and priorities for school mathematics in the 1980's are reported. Responses were obtained from samples of nine populations, including teachers, supervisors, and other professionals in mathematics education, plus principals, school board members, and PTA presidents. First-round surveys concerned…

This study evaluates materials developed for low achievers by secondary mathematics teachers who participated in a summer conference. Fifteen pairs of experimental/control classes were involved. Materials were evaluated by data from achievement tests and attitude instruments. In addition, the teachers using the materials were asked for suggestions…

This is one of a series of 20 booklets designed for participants in an in-service course for teachers of elementary mathematics. The course, developed by the University of Illinois Arithmetic Project, is designed to be conducted by local school personnel. In addition to these booklets, a course package includes films showing mathematics being…

This is one of a series of geometry modules developed for use by secondary students in a laboratory setting. This module includes: (1) Pythagorean Theorem (with review of radicals); (2) Basic Coordinate Geometry (distance and midpoint, slope, slope of parallels and perpendiculars, and equation of a line); (3) Selecting Coordinates; (4) Coordinate…

This is one of a series of geometry modules developed for use by secondary students in a laboratory setting. The purpose of this module is to teach solution of proportions, concepts and theorems of triangle similarity, solution of the Pythagorean Theorem, solution of the isosceles right triangle, and concepts involving "rep-tile" figures…

This is one of a series of computer modules designed for use by secondary students who have access to a computer. The module, designed to help students understand various aspects of payroll calculation, includes a statement of objectives, a time schedule, a list of materials, an outline for each section, and several computer programs. (MK)

An evaluation of mathematics programs in Allen County, Kentucky focused on the COMPS program. The main research questions were: (1) Was the COMPS mathematics program effective for grades seven and eight in terms of increasing mathematics achievement and being favorably evaluated by former students? and (2) Was the program equally effective at…

This is one of a series of student booklets designed for use in a bilingual mathematics program in grades 6-8. The general format is to present each page in both Spanish and English. The mathematical topics in this booklet include graphing on a number line, place value, using exponents, flow charts, and Roman numerals. (MK)

This is one of a series of student booklets designed for use in a bilingual mathematics program in grades 6-8. The general format is to present each page in both Spanish and English. The mathematical topics in this booklet include addition and subtraction. (MK)

This is one of a series of student booklets designed for use in a bilingual mathematics program in grades 6-8. The general format is to present each page in both Spanish and English. The mathematical topics in this booklet include multiplication and division. (MK)

This guide represents the final experimental version of a pilot project which was conducted in the United States between 1973 and 1976. The ideas and the manner of presentation are based on the works of Georges and Frederique Papy. They are recognized for having introduced colored arrow drawings ("papygrams") and models of our numeration…