This paper proposes a taxonomy of the pedagogical opportunities that are offered by mathematics analysis software such as computer algebra systems, graphics calculators, dynamic geometry or statistical packages. Mathematics analysis software is software for purposes such as calculating, drawing graphs and making accurate diagrams. However, its…

Presented is an alternative method for analyzing the van Hiele level of students' geometrical reasoning. The accuracy of students' answers may afford a description of acquisition and/or expertise for each of the van Hiele levels simultaneously rather than the traditional assignment and evaluation of one level at a time. (JJK)

This is the final report of a year-long research project on the implementation of a guided inquiry approach using the Geometric Supposer, a microcomputer software series, to teach high school geometry in three Boston area suburbs during the 1985-1986 school year. The project assessed student learning and examined the many and varied issues…

This paper is an attempt to draw on the thinking of a group of secondary school geometry teachers who are participants in the Laboratory Sites Study of the Educational Technology Center (ETC) at Harvard University. The purpose of the Lab Sites Study is to understand the process of implementing technology-enhanced guided exploration in school…

The chapters in this book reflect the work of science and mathematics educators who have worked for many years at the international level. As members of the International Consortium for Research in Science and Mathematics Education, their work provides readers with issues, models, practices, and research results that have applicability and…

Describes a special application of the microcomputer for small and large group instruction called Computer-Guided-Teaching (CGT). Effective teaching strategies incorporated in CGT lessons are discussed, and a description of a formal geometry course illustrates their use in CGT lessons. (MBR)

Properties of information most likely to attract student attention and how students use information they generate are clarified. Students' expectations of empirical information in geometry and the design of a new version of the Geometric Supposer are discussed. (CW)

Twin aims--to advance theory and to improve practice in science, mathematics, and computing education--guided the Educational Technology Center's (ETC) research from its inception in 1983. These aims led ETC to establish collaborative research groups in which people whose primary interest was classroom teaching and learning, and researchers…

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 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,…

Mathematics learning objectives and specifications for third graders, which are congruent with the Texas "State Board of Education Rules for Curriculum," are presented. They are designed for use by teachers and test development specialists involved with the preparation of the Texas Educational Assessment of Minimum Skills (TEAMS) tests.…

This report enumerates the activities of the Educational Technology Center (ETC) during 1987. The guide's theme for the year was Teaching with Technology. The report includes brief descriptions of five different types of research projects by area. In science education, the projects concerned with weight and density, heat and temperature, and the…

Higher order thinking skills are inevitably developed or exercised relative to some discipline. The discipline may be formal or informal, may or may not be represented in a school curriculum, or relate to a wide variety of domains. Moreover, the development or exercise of thinking skills may take place at differing levels of generality. This paper…

The National Assessment of Educational Progress (NAEP) reports on the status and progress of educational achievement in the United States. Based on its surveys, "The Nation's Report Card" provides comprehensive information about what students in the United States can do in various subject areas. The framework for the 1990 mathematics…