This is the second of two papers that propose an expanded and enriched view of arithmetic problem solving by stressing the need to provide learning activities that include problems of varying structures. The first paper included a framework for the enhancement of text-based problems. This second paper proposes a scheme for the development of…

A problem sometimes called Moser's circle problem where a circular region has to be partitioned with chords without any three chords intersecting at one point, is discussed. It is shown that Moser's circle problem makes the students to use a variety of mathematical tools to find correct solutions to problems and gives an opportunity to think about…

Our study concerns the analysis of teacher and student activities. Secondary school 6th grade students were confronted, for the first time, with solving equations. We used our cognitive models of students and experts (in algebraic calculations) for analyzing the teaching process and the cognitive functioning of students. Our model led us to…

Soft constraints hypothesis (SCH) is a rational analysis approach that holds that the mixture of perceptual-motor and cognitive resources allocated for interactive behavior is adjusted based on temporal cost-benefit tradeoffs. Alternative approaches maintain that cognitive resources are in some sense protected or conserved in that greater amounts…

This paper reviews the book "Problem-Based Methodology," by Viviane Robinson. Consisting of 12 chapters divided into 4 parts, the book's general argument is that educational research must be grounded in problem-based methodology (PBM) if it is to contribute to the improvement of teaching and administrative practice. The reviewer first…

The main objective of the study reported in this paper was to construct a Lakatosian teaching strategy that can facilitate conceptual change in students' understanding of chemical equilibrium. The strategy is based on the premise that cognitive conflicts must have been engendered by the students themselves in trying to cope with different problem…

The paper argues that a relationship between visualization and mathematical problem solving ability exists. Research suggests that visual imagery leads to increased understanding of mathematical concepts at both the primary and secondary levels. Mathematical potential is not necessarily "born." Potential can be created in the least likely students…

Noting that the ability to think critically and creatively can be encouraged even in the very young, this book provides practical strategies and lesson plans for introducing children in kindergarten through grade 3 to the fun and rigors of skillful thinking. The first set of four lessons is designed to start children thinking and to lay the…

A study of 29 students enrolled in Algebra II in an 8-week summer instructional program for minority students was conducted to reveal the skills that students have in translating among representational forms in mathematics problems where the representational form is varied in the given problem and in the required form of the answer. All students…

This paper presents an overview of research in the field of decision theory, with a focus on problem and identification. The goal is to make the decision-making process as rational as possible in order to maximize the rational administration of the organization. The decisions associated with educational administration can be categorized as…

A review of the critical thinking literature reveals that there is growing interest in developing instructional strategies to develop students' critical thinking skills and dispositions. This paper reviews the research literature regarding the nature of critical thinking in the following areas: (1) differences in the conceptualization of critical…

This book for teachers and administrators describes an approach to teaching that requires students to think, analyze, problem solve, and make meaning of what they have learned. Designed to be a companion guide to Teaching for Understanding: Linking Research with Practice, it shows teachers how to use the four critical components of the teaching…

This study compared cooperative learning with individual learning in an introductory college electrical engineering course, using attitudinal and cognitive measures. Cooperative learning activities were implemented in homework assignments in one section of the course, while individual homework assignments were used in two other sections. A total…

Related research suggests that children may show some simple understanding of event covariations by the early elementary school years. The present experiments use a rule analysis methodology to investigate covariation judgments of children in this age range. In Experiment 1, children in second, third and fourth grade judged covariations on 12…

Group treatment based on cognitive-behavioral and social problem solving strategies has been found to produce significant improvement in aggressive children. To investigate the association between clients' initial behavioral and subjective characteristics and the degree of improvement displayed on behavioral measures over the treatment period, 76…