PS-I learning approaches with an initial problem-solving phase (PS) followed by an instruction phase (I) can be optimised by providing adaptive (individualised) instruction that builds on students' problem-solving products. A computer-based implementation of both phases offers the possibility of adaptivity at the transition from the…

The book that inspired millions of educators to refine their approach to teaching returns for an all-new third edition. Built on a more rigorous research base and updated to emphasize student diversity, equity, and inclusion, "The New Classroom Instruction That Works" offers a streamlined focus on the 14 instructional strategies proven…

Although high-fidelity digital models of human anatomy based on actual cross-sectional images of the human body have been developed, reports on the use of physical models in anatomy teaching continue to appear. This article aims to examine the common features shared by these physical models and analyze their educational value based on the…

Decision exercises using a finite state machine and replacement systems are described in this second of two articles. For the first article, see MT No. 62, March, 1973, pp. 50-55. (DT)

Two important factors that influence problem solving are the nature of the task and the kind of knowledge brought to the problem by the solver. After a consideration of the definition of a problem, puzzle problems are discussed, as are problem representation and general processes of solution. Also discussed is the question of solving problems that…

This paper is the first chapter in a monograph. In it the author attempts to examine the assumptions and justifications for process education. He does not write in a prescriptive fashion but attempts to arrive at a definition for process education by a successive convergency of ideas and tentative but logically consistent definitions. The author…

The problem-solving processes of seven upper-division college students working a series of problems that could be solved by the application of one or more heuristics are described in detail. (MP)

Three approaches to the same geometrical problem are presented to demonstrate the role of intuition in mathematics and to clarify the concept of insight. (MP)

The series "Soviet Studies in the Psychology of Learning and Teaching Mathematics" is a collection of translations from the Soviet Literature of the past twenty-five years on research in the psychology of mathematical instruction. Also included are works on methods of teaching mathematics directly influenced by this research. The aim of…

The series is a collection of translations from the Soviet literature of the past 25 years on research in the psychology of mathematical instruction and the related methods of teaching mathematics. The aim of the series is to acquaint educators and teachers with directions, ideas, and accomplishments in the psychology of mathematical instruction…

Presents a position strongly advocating inquiry training in science for students at all levels, but particularly at the elementary level. (SL)

Three preliminary studies and one exploratory main study investigated the effect of calculator use on elementary, middle, and secondary school students' solution methods on routine mathematical problems. Items were identified for which a longer and a shorter solution method existed. Half of the sample worked these using a calculator and half used…

A series of five questions, related to a specific example, outlines the process of applying mathematics to real-life problems. These include needed information, translation, assumptions, solution, and generalizations. (MP)

Examines principles governing the identification of a system of parameters for accurately describing student thought processes and discusses the parametric analysis of such thought processes, taking as an example problem-solving directed towards the explanation of physical phenomena. A 25-item reference list is included. (Author/JL)