These materials were developed for use in workshops with teachers. The document suggests a four-stage framework which students can apply to problems: (1) get to know the problem; (2) choose what to do; (3) do it; and (4) look back. Suggestions are included for each of the four stages of the probem solving process. Other specific techniques for…

Repertory grid technique and extensive interviews were used to investigate the personal constructs of mathematics and mathematics teaching held by four preservice secondary mathematics teachers. Kelly's Personal Construct Theory and Perry's developmental scheme provided frameworks for analysis of the experiential, pedagogical, and mathematical…

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…

This is the second of two reports on the first year activities and results of the Systems Thinking and Curriculum Innovation Project (STACI), a two-year project which is examining the cognitive demands and consequences of using the STELLA (Structural Thinking Experimental Learning Laboratory with Animation) software to teach systems thinking,…

The report describes the initial design and planning phase of a 3-phase project to adapt, develop, and evaluate computer-aided instructional materials in elementary education basics (specifically word recognition, reading comprehension, and mathematics) for Alaska Native and American Indian students. Section 1 provides background information about…

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 guide was developed for two purposes: to enrich science and mathematics programs in schools and to encourage the professional growth of teachers of science and mathematics. A basic premise behind the development of this guide is that all students should have a variety of learning experiences, especially students in categorical programs such…

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…

After observing secondary school students having great difficulty learning geometry in their classes, Dutch educators Pierre van Hiele and Dina van Hiele-Geldof developed a theoretical model involving five levels of thought development in geometry. It is the purpose of this monograph to present English translations of some significant works of the…

A quasi-experimental design with two experimental groups and one control group was used to evaluate the use of two books in the Quantitative Literacy Series, "Exploring Data" and "Exploring Probability." Group X teachers were those who had attended a workshop on the use of the materials and were using the materials during the…

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;…

A 2-year longitudinal/cross-sectional project investigated factors related to highly able Mexican Americans' decisions to avoid or take advanced mathematics. Questionnaires were given to roughly 350 Mexican Americans and to an equal number of equally able Anglo-Americans. Subjects were distributed evenly across grades 9, 10, and 11. Results…

This booklet provides an overview of the Elements of Mathematics Program used in Project MEGSSS (Mathematics Education for Gifted Secondary School Students). It was designed for gifted students in grades 7-12 with excellent reading and reasoning ability. It attempts to explore the upper content limits of the mathematics that such students can…