The major goal of the Comprehensive Instructional Management System for mathematics is to provide the classroom teacher in New York City with a well-structured, objective-based curriculum. This second part of the manual for Level 4 includes modules for 14 topics: (1) numbers and numeration; (2) addition of whole numbers; (3) subtraction of whole…

This document is part 2 of the workbook for grade 4 pupils in the Comprehensive Instructional Management System, a unified mathematics curriculum for kindergarten through grade 7. Each objective is developed by a variety of strategies, with mastery of objectives diagnosed through a testing component. The activities in the student workbook are…

This is the teacher's manual to accompany part 2 of the workbook for grade 4 pupils in the Comprehensive Instructional Management System, a teacher-designed unified mathematics curriculum for kindergarten through grade 7. It is composed of a curriculum, a testing component, and a computer-managed reporting system. The curriculum is organized into…

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…

This study investigated the relationships between the mathematical problem-solving performance of fourth-grade children, their attitudes toward problem solving, their teachers' attitudes, and related sex and program-type differences. Three instruments were used to gather data. Data were gathered for the first part of the study from 30 classes in…

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…

THE MAJOR PROBLEM OF THIS INVESTIGATION WAS TO DETERMINE TO WHAT EXTENT FIRST-GRADE PUPILS ARE CAPABLE OF LEARNING ALGEBRAIC STRUCTURES THROUGH PROGRAMED INSTRUCTION. IN THE EXPERIMENT APPROXIMATELY 130 FIRST-GRADERS WERE INSTRUCTED THROUGH AUDIOVISUAL TEACHING MACHINES FOR APPROXIMATELY 15 WEEKS. AT THE END OF THE PROGRAM, THE CHILDREN WERE…

The article includes a brief description of the project "Reckoning with Mathematics." The project is grounded in the belief that reliance in American schools on "textbook as technology" is outdated and counterproductive. A sample student worksheet is included. (PK)

The focus of this study was to investigate mental computation conceptual frameworks that Heirdsfield (2001c) formulated to explain the difference between proficient (accurate and flexible) mental computers and accurate (but not flexible) mental computers. A further aim was to explore the potential for students' developing efficient mental…

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…

Emphasizes the importance of promoting discourse and interactions in the classroom. Presents a lesson in which discourse reveals how the teacher helps students learn by constructing their own conceptual understanding of geometric shapes. Illustrates how the teacher facilitates an atmosphere in which students take responsibility for their own…

Teachers' styles of textbook use were identified, and the overlap between content taught and textbook content in elementary school mathematics was studied for four teachers in four Michigan fourth grades. In each classroom there were important differences between text content and teacher's topic selection, content emphasis, and sequence of…

Examines whether verbal problem-solving skills in a group of fourth graders would improve if they were specifically taught how to generate their own diagrams when solving word problems. Classifies textbook word problems into three general types and describes them: (1) tabular; (2) geometric; and (3) contingency diagraming. (YP)

This aptitude-treatment interaction study explored the relationship between cognitive restructuring ability and treatments varying in the amounts of teacher guidance on tasks with fractions. An interaction was found between cognitive restructuring ability and levels of teacher guidance for items having continuous perceptual distracters. (MNS)

This research investigated the possible impacts of computers on Turkish fourth-grade students geometry scores and further geometric learning. The study used a pretestinterventionposttest experimental design. Results showed that students who did not have computers at home initially had lower geometry scores. However, these differences were…