The Comprehensive School Mathematics Program (CSMP) is a program of CEMREL, Inc., one of the national educational laboratories, and was funded by the National Institute of Education (NIE). Its major purpose is the development of curriculum materials for grades kindergarten through 6. In the fall of 1973, CSMP began a longitudinal pilot study of…

The purpose of this study was to examine the combined effects of student participation and of realistic levels of vagueness terms on student achievement and attitudes. Ninety-six sixth graders from a middle school in Georgia were randomly assigned to one of eight groups defined by possible combinations of two teacher uncertainty conditions, two…

Problem Solving in Mathematics (PSM), a program of problem-solving lessons for grades 4-9, is designed to be integrated into the regular mathematics curriculum. Although the content objectives of the lessons are similar to those of most textbooks, PSM emphasizes problem-solving skills and a variety of instructional strategies which foster the…

Sixth-grade middle school students (N=91) in four mathematics classes served as subjects in a study designed to: (1) determine if the use of computers as an integral part of instruction would increase mathematics achievement; and (2) explore the impact of computers as an integral part of instruction on other factors (such as student attitudes,…

Sixty-four fifth and sixth-grade pupils were taught number series extrapolation by either an algorithm, fully prescribed problem-solving method or a heuristic, less prescribed method. The trained problems were within categories of two degrees of complexity. There were 16 subjects in each cell of the 2 by 2 design used. Aptitude Treatment…

Computer-based courseware for the intermediate grades developed by the PLATO Elementary Mathematics Project was tested for a three year period in the public schools of Champaign and Urbana, Illinois. This brief report describes the project in terms of the student session, curriculum, educational effectiveness, and data feedback to teachers.…

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…

The Basic Mathematics Improvement Component, funded under Title I of the 1965 Elementary Secondary Education Act, has the following objectives: (1) to help the underachieving mathematics pupil make satisfactory progress toward raising his level of grade placement in mathematical computation, concepts, and applications; (2) to help the…

Description of the use of Logo for teaching geometry is the first in a two-part series on the development of Logo tools for doing middle school mathematics. The learning process is discussed, and examples of activities integrating Logo with teacher-prepared procedures are presented. (Author/LRW)

This paper explores a framework for research on the development of the angle concept based on theories of abstraction. The framework suggests that children initially acquire a body of disconnected angle knowledge situated in everyday experiences, group the situations to form angle contexts, and then form an abstract angle concept. The framework is…

This leaflet gives guidance on effective practice on organizing literacy and numeracy booster classes for pupils in Year 6 schools in England. The literacy and booster program is designed to provide extra, targeted support to those pupils in Year 6 who, without the benefit of the Literacy Hour and daily mathematics lesson since the beginning of…

This study examined how six teachers in inclusive classrooms who are being encouraged to deliver reform-oriented mathematics instruction modify mathematical tasks and provide academic interventions for students with cognitive disabilities. Qualitative data for this study were collected between April and June 1999 by means of observation and…

The new emphasis on communication of ideas and problem solving in mathematics teaching places an additional burden on limited English proficient (LEP) students with relatively poor language skills and their teachers. This research addresses the question of how students' language proficiency affects teachers' assessment of students' mathematical…

The effect of systematized feedback on mathematics performance in natural classroom settings was examined. Three sixth-grade classes served as subjects during the 12-week study. A 25-item computation posttest was administered. Results confirm the effectiveness and practicality of comprehensive feedback programs in natural classroom settings.…

Proposes a model that displays the five components of the statistical problem-solving process. Focuses on the collection of coins in sets by mint location and fully describes the procedures. Includes ideas for data collection and analysis. (DDR)