This study probed children's reasoning about both correct and incorrect but plausible statements of hypothetical children concerning the concepts of subtraction, with the intention of examining misconceptions in greater depth. Eight third graders, 14 fourth graders, and 14 fifth graders were interviewed individually to assess their understanding…

The focus of this research was the conduct and analysis of six hours of clinical interviews with sixth and ninth grade students to investigate how they learn geometry in light of the van Hiele model. In chapter 1 an overview of the project and its four major goals is given. The theoretical model is described in chapter 2. In chapter 3 the…

The Comprehensive Instructional Management System (CIMS) is a unified mathematics curriculum for grades K-7. The curriculum is cyclical in design, and reflects the most recent New York City and New York State guidelines. Utilizing the experience of classroom teachers, a teacher-designed curriculum was developed that includes a rich selection of…

This paper presents results from a study of 19 teacher education students' knowledge of mathematics and discusses an analytic framework for examing and appraising teachers' and prospective teachers' subject matter knowledge. Participants in the study were 10 elementary education majors and 9 mathematics majors or minors who were preparing to teach…

This 11-chapter textbook presents various facets of mathematics and mathematics applications from preschool throughout the adult years. Chapter 1 describes selected qualities of the concept of learning disability. Chapter 2 discusses the K-12 mathematics curriculum, instructional practices in regular education, mathematics curricula in special…

This is one of a series of monographs developed by teachers in elementary schools near Leeds, England. This document focuses on early instruction of number concepts. It is considered essential that these ideas be presented first in concrete form. The working group attempted to provide a detailed progression in the developmental stages leading to…

The two articles in this bulletin concern an experiment in progress to determine if training teachers in a structured program for mathematics instruction results in higher student achievement and if the effects of the program on teachers and students would be enhanced if the building principal participates in and supports the inservice process. In…

This document reports on the eighth of a series of hearings on the reauthorization of expiring Federal elementary and secondary education programs. Seven expert witnesses, including representatives of the Department of Education and professional and community organizations, gave testimony concerning a number of micscellaneous federal programs. The…

This report describes a curriculum development program designed to address three problems associated with computer use in the schools: underutilization of the computer capabilities by overemphasis on basic skills instruction; stratified access to computers, or inequitable access based on race, sex, or income; and emphasis on teaching computer…

After the passage of the North Carolina Elementary and Secondary School Reform Act of 1984, curriculum revision began. This handbook provides a detailed and integrated basic course of study for the revised curriculum in mathematics for grades K-12. The philosophy and rationale for the entire curriculum are first discussed, followed by sections on…

This document has been written to relate to the "Mathematics Framework for California Public Schools, Kindergarten through Grade Twelve" published in 1985. Part 1 of the document provides a brief summary of important characteristics of a strong elementary mathematics program. Part 2 of the document presents a portrait of a desired…

This document provides a description and evaluation of a project designed to develop leadership among K-8 mathematics teachers in San Francisco (California). The project attempted to: (1) provide teams of urban teachers with a year-long program to improve mathematical problem solving skills, build confidence, and increase classroom effectiveness;…

Designed to be a tool for curriculum and instructional development consistent with assessment of the state objectives in mathematics, this teaching and testing guide provides a summary of the skills that should be considered instructionally and how each objective is tested. Information is included on state objectives for mathematics teachers for…

Designed to be a tool for curriculum and instructional development consistent with assessment of the state objectives in mathematics, this teaching and testing guide provides a summary of the skills that should be considered instructionally and how each objective is tested. Information is included on state objectives for mathematics teachers for…

In compliance with Section 1 of the South Carolina 1978 Act 631, the following Basic Skills Assessment Program (BSAP) information is reported: (1) the administration of tests for first grade readiness and grades 1, 2, 3, 6, and 8; (2) the development and field-testing of the 11th grade test; (3) the field-testing of mandated basic skills…