This study investigated the effects of grouping patterns in a cooperative learning environment on the mathematics achievement of two high school geometry classes. Heterogeneous, homogenous, random, mixed gender and single gender grouping patterns were coordinated with six similar geometry topics and students were grouped accordingly for a period…

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…

This booklet is designed to acquaint teachers with mathematics skills tested on the High School Proficiency Test in New Jersey. Included is the report of the mathematics committee which helped develop the test; the listing of the mathematics skills tested; the description of the conditions and context in which each skill is assessed; the actual…

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…

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,…

Developed to provide assistance and support to local schools that want to improve their secondary mathematics programs, this guide provides an updated view of what North Dakota educators feel is necessary in a secondary mathematics curriculum. An overview of perceived statewide mathematics objectives and a review of national perspectives on…

This curriculum guide for computer science was developed to establish statewide curriculum standards for the Louisiana Competency-based Education Program. It consists of: (1) a rationale for and overview of the secondary school mathematics program; (2) a list of five suggestions for using the guide; (3) programming, debugging, and documentation…

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…

Four issues of the 1985/86 newsletter of a preparatory school for learning disabled (LD) students examine the following topics: myths and realities concerning LD students at the college level: a support group for LD students at a large state university; a developmental mathematics program; a competitive basketball program; positive personality…

Research in this project studied cognitive processes involved in understanding and solving problems used in instruction in the domain of mathematics, and explored implications of these cognitive analyses for the design of instruction. Three general issues were addressed: knowledge required for understanding problems, knowledge of the conditions…

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…

The Middle Grades Mathematics Project (MGMP) has been an effort to produce exemplary mathematics curriculum units for grades six, seven, and eight, evaluate the compatibility of those units in classrooms, and to study the nature of the effort needed to help teachers to teach the units effectively in their classrooms. Each activity designed by MGMP…

This paper gives results of a review of 41 high school, junior high school, and college algebra and mathematics textbooks. The review focuses on two facets of the curriculum: (1) the presentation of the concept of variable; and (2) word problems and the presentation of problem solving skills. With regard to the variable concept it was concluded…