This is the narrative report of a project (begun in 1985) undertaken to promote quality mathematics instruction in the nonpublic, religion-oriented elementary schools in New York City. The major goals of the project for the 1988-89 year were to involve nonpublic schools (NPS) teacher representatives in the planning and creation of staff…

These materials were developed in the course of research on "Cognitive Growth through Peer Collaboration." Materials were developed and adapted for teaching spatial reasoning and logical reasoning to fourth grade students. The document contains: (1) descriptions of the various tasks involved; (2) outlines of each of the activities which were…

Some successful innovations and their underlying rationales that were implemented 50, 60, and 70 years ago could be useful in solving many educational problems. Of major concern are the gap between the actual science and mathematics curricula in most schools and the demands placed on everyday living in the modern world dominated by technology and…

A unit of study that introduces collecting, representing, describing, and interpreting data is presented. Suitable for students in grades 4 through 6, it provides a foundation for further work in statistics and data analysis. The investigations may extend from one to four class sessions and are grouped into three parts: "Introduction to Data…

With the increased emphasis on teaching problem solving in mathematics has come the challenge of developing new techniques for evaluating the effectiveness of such instruction. This booklet is an attempt to provide teachers with ways to give credit for a good problem solving strategy, and yet deduct for an incorrect answer. The document provides…

An emerging focus of elementary and secondary mathematics instruction is on problem solving. This study examined an instructional approach for teaching children with learning disabilities how to solve arithmetic word problems. The study was conducted with 60 fifth and sixth grade students who had previously been identified as learning disabled.…

This report describes an analysis of the segments and shows of the first season's production of "Square One TV" in terms of its elaborated goals. It includes charts and graphs showing the treatment of objectives for the series' goals across the 75 shows of the series. The goals of the series are: (1) to promote positive attitudes toward,…

The learning objectives and the measurement specifications cited in this document are congruent with the Texas State Board of Education Rules for Curriculum. The objectives are provided for teachers and for test developers involved with the preparation of the Texas Educational Assessment of Mimimum Skills (TEAMS) tests. As of 1985-86 academic…

This teacher's guide was designed to accompany five student workbooks: Math Language, Understanding Word Problems, Using a Calculator, Estimation, and Solving Word Problems. The series was specifically developed for low achieving students. The teaching gradually progresses in difficulty, but concepts are presented in small chunks that students can…

This project was designed to study the effects of an inservice model on the quantity and quality of developmental mathematics instruction provided by participating teachers. Participants were seven teachers of students in grades from 2 to 6 who had volunteered for the project after being selected as potential lead teachers in mathematics. The…

A two part examination of the evidence concerning one possible basis for the poor mathematical performance of United States students, the content of the textbooks used in their classes, is presented. The results of a detailed analysis of Japanese and U.S. mathematics textbooks for grades 1 through 12 are reported. Two international studies (1964…

The National Assessment of Educational Progress (NAEP) collected data on the mathematics performance of 9-, 13-, and 17-year old Americans in 1973, 1978, and 1982. An additional assessment in grades 3, 7, and 11 is planned for 1986. Educational objectives to be used in the 1986 assessment were contributed, reviewed, and revised by a committee of…

In order to assist elementary and middle school teachers in teaching the skills associated with the concepts of perimeter, area, and volume, this addition to the National Council of Teachers of Mathematics "How to..." series is intended to supplement a text with practical information written in nontechnical language. Each chapter…

The results of the mathematics training needs assessment for grades K through 12 teachers in the Great Falls Public School of Montana are contained in this report. This was conducted as one part of a statewide mathematics and science needs assessment. Teacher demographics, experience levels, and educational background are reported. Mathematics…

This paper provides an historical perspective on the possible roles of cognitive technologies in thinking as "reorganizers" of the mind. It suggests that by understanding the transformational roles of advanced technologies for mathematical thinking, positive contributions can be made to research and practice on the use of computers in…