Four computer-based training strategies for geometrical problem solving in the domain of computer numerically controlled machinery programming were studied with 60 Dutch secondary technical school students for effects on training performance, transfer of performance, and cognitive load. Results support the utility of worked examples for transfer…

Discusses the use of computers in undergraduate mathematics. Highlights include external software, including spreadsheets and theorem provers; computer generated assessment; multimedia software; computer programming languages; geometric visualization tools; computer algebra systems; and examples from the United States, the United Kingdom, and…

Student self-beliefs can impact their attention and learning processes and have been considered in instructional design theories and models. The purpose of this study was to investigate the relationship between self-beliefs and mathematics achievement of adolescent students in Japan. Students included in these analyses were from the Third…

The purpose of this study was to examine the acquisition of the van Hiele levels and motivation of sixth-grade students engaged in instruction using van Hiele theory-based mathematics curricula. There were 150 sixth-grade students, 66 boys and 84 girls, involved in the study. The researcher employed a multiple-choice geometry test to find out…

The 2012 National Survey of Science and Mathematics Education was designed to provide up-to-date information and to identify trends in the areas of teacher background and experience, curriculum and instruction, and the availability and use of instructional resources. A total of 7,752 science and mathematics teachers in schools across the United…

Engineering design graphics education has come a long way in the past two decades. The emergence of solid geometric modeling technology has become the focal point for the graphical development of engineering design ideas. The main attraction of this 3-D modeling approach is the downstream application of the data base to analysis and…

The concept of shape often enters introductory cultural geography textbooks through the subject of political geography. This paper focuses on a quantitative way to introduce the concept of shape to students of cultural geography. The measure used in this approach was to compare the perimeter of the sovereign state with the perimeter of a circle…

Two studies appear to reach unsatisfactory conclusions regarding causes of low math achievement among American Indians. Leap (1988) studied math problem-solving strategies among low-math-achieving fourth- and fifth-grade Ute reservation students. He concluded that faulty or cumbersome problem-solving strategies were directly linked to Ute language…

This paper discusses the requirements of Interactive Geometry Systems (IGSs) and how they can be fulfilled, explains how a geometry tool can benefit from the Internet, and presents Cinderella's Cafe. Cinderella's Cafe is a new IGS with a high mathematical background that uses the most general mathematical models whenever possible, is highly…

In 1988-89 the Connecticut Vocational-Technical School System initiated a program for the ongoing review and upgrading of all trade and academic curricula used in the system's 17 schools to insure that each curriculum is consistent with current standards. Every 3 years the Curriculum Steering Committee for the trade or academic subject conducts a…

This book presents 129 problems selected from the calendar problem section of the "Mathematics Teacher" to supplement regular mathematics textbook offerings for middle grade teachers and students. The problems are categorized by six topics: (1) Numbers; (2) Computation; (3) "Oldies but Goodies"; (4) Offbeat and Unusual; (5)…

These item specifications were developed as a part of the Arkansas "Minimum Performance Testing Program" (MPT). There is one item specification for each instructional objective included in the MPT. The purpose of an item specification is to provide an overview of the general content and format of test items used to measure an…

This study investigated the effect of diagram formats on performance on geometry items in order to determine whether certain examinees are affected by different item formats and whether such differences arise from the different intellectual demands made by these formats. Thirty-two experimental, multiple-choice geometry items were administered in…

This report summarizes the proceedings of a conference held at the Harvard Graduate School of Education which focused on the conceptual distinction between microworld software and expert system software in education. Microworld software is defined as software which lacks a specific teaching and learning agenda, and expert systems as software that…

This book contains about 200 problems. It is suggested that it be used by students, teachers or anyone interested in exploring mathematics. In addition to a general discussion on problem solving, there are problems concerned with number theory, algebra, geometry, and combinatorics. (PK)