Mastering mathematics is often challenging for many students; however, the rise of artificial intelligence (AI) offers numerous advantages, including enhanced data analysis, automated feedback, and the potential for creating more interactive and engaging learning environments. Despite these benefits, there is a need for comprehensive reviews that…

This paper reviews the present state, recent trends, and prospective lines of development concerning applied problem solving, modeling, and their respective applications. Four major trends are scrutinized with respect to curriculum inclusion: a widened spectrum of arguments, an increased universality, an increased consolidation, and an extended…

This paper presents a theoretical framework for investigating the role of algorithms in mathematical thinking using a combined ontological-psychological outlook. The intent is to demonstrate that the processes of learning and of problem solving incorporate an elaborate interplay between operational and structural conceptualizations of the same…

A study on the impact of misconceptions on preservice elementary teachers' processes in solving problems involving multiplication and division of decimals is described. Included are the purpose of the study, a description of the subjects, instruments, and interviews, the findings, and discussion. (KR)

Presents a new method to teach the subject of evaporators which is both simple enough to use in the classroom and accurate and flexible enough to be used as a design tool in practice. Gives an example using a triple evaporator series. Analyzes the effect of this method. (CW)

Discussed is the question of teachers' knowledge about mathematical topics. The building of an analytic framework of subject matter knowledge for teaching the topic of functions in mathematics is demonstrated. Discussed is the construction of mathematics courses prospective mathematics teachers take. (KR)

Through two surveys of nature and environmental centers throughout the United States, the author compares the centers' expressed goals with the goals of environmental education. These goals were determined by an accepted behavior model that is considered conducive to environmentally responsible behavior. (17 references) (MCO)

Discussed is whether, and to what extent, science teachers critically and spontaneously attend to the logical structure of situations, and whether they need prompting, or completely fail to do so. The relationship between the results of this study and science teachers' pre- and in-service education is discussed. (Author/KR)

Divided into two parts, this article analyzes why some pupils feel reserve about instantaneous velocities and instantaneous flows. The second part relates reactions of pupils facing a problem that implicates the instantaneous rate of change. Describes some characteristics of this problem that enables the authors to explain its instructional…

The dissertation abstracts in this compilation all appeared in "Dissertation Abstracts International" in 1983. The 300 dissertations cited in the annual listing of research in the July 1984 issue of the "Journal for Research in Mathematics Education" are included, as well as 55 dissertations which were located but could not be…

Tests of spatial ability were analyzed for their analog (visuospatial) and nonanalog (verbal reasoning) components, using factor analyses of items and test scores. The self-selected sample consisted of over 2000 clients (average age about 26 or 27) employing the Johnson O'Connor Research Foundation's aptitude evaluation services in 12 metropolitan…

This collection, which should be of particular interest to adult education teachers, trainers, and researchers, suggests new models for attaining learning management skills to facilitate on-the-job learning. In the introduction, Mark E. Cheren discusses the need for new models and terms and examines the concepts of learning management and…

This guide was developed to assist instructors in electronics technologies in presenting broadly applicable nontechnical (often called quality of work life--QWL) skills, such as interpersonal and group process skills, problem solving and decision making, planning, communications, reasoning skills, and organizational management skills. The guide…

This guide was developed to assist vocational instructors in automotive repair programs in presenting broadly applicable nontechnical (often called quality of work life--QWL) skills, such as interpersonal and group process skills, problem solving and decision making, planning, communications, reasoning skills, and organizational management skills.…

The conceptual framework of the Modes of Problem Solving Action (MPSA) model integrates Dewey's pragmatism, critical science theory, and theory regarding the three modes of inquiry. The MPSA model is formulated in the shape of a matrix. Horizontally, there are the following modes: technical, interpretive, and emancipating. Vertically, there are…