The aim of the present study was to explore the hypothesized relationship between divergent thinking (DT) and two types of evaluation: interpersonal (judgments about others' ideas) and intrapersonal (judgments about one's own ideas). Divergent thinking and evaluation skills were measured by means of a GenEva (Generation and Evaluation) task. There…

This article argues that the merger of simulations and problem-based learning (PBL) can enhance both active-learning strategies. Simulations benefit by using a PBL framework to promote student-directed learning and problem-solving skills to explain a simulated dilemma with multiple solutions. PBL benefits because simulations structure the…

In this paper, I use principles of civic education and social psychology to identify four main classroom contributors to students' pessimistic appraisals of their ability to improve social problems: authoritarian teaching methods, a culture of "doom and gloom," little attention to solutions to social problems, and no linkage of social problems to…

Early adolescence, classified from 10-14 years, is an important stage of development where thinking, planning and reasoning skills are evolving. Middle School is an educational context which focuses on the provision of support for students in this age group through the transitional period, from primary school to high school. Integrating a graphic…

In 1750, the Swiss mathematician Gabriel Cramer published a well-written algebra book entitled "Introduction a l'Analyse des Lignes Courbes Algebriques." In the appendix to this book, Cramer gave, without proof, the rule named after him for solving a linear system of equations using determinants (Kosinki, 2001). Since then several derivations of…

The author assesses the 1987 educational reforms in Ghana that mandated increased emphasis on inquiry and problem-solving teaching methods in training colleges. While teaching practices were not as rote and dictatorial as scholars have often claimed, trainees and teachers shied away from methods that could lead to ''indiscipline.'' Their concern…

The development of reason has long been an important aim for education. This is possibly reflected in the emphasis on the importance of explicit verbal reasoning in definitions of "Exploratory Talk", a concept that has had some influence on classroom teaching. In this paper I argue from transcript evidence that, while Exploratory Talk is a…

The purpose of this exploratory study was to investigate the impact of writing during mathematical problem solving. The study involved an analysis of ninth grade algebra students' written and verbal descriptions of their mathematical problem solving processes. Through this comparison, a better understanding of the connection between problem…

This paper reports research that focuses on student teachers' reflections on their learning process in a collaborative problem-solving context. One group of students with limited mathematical backgrounds worked on two problems in geometry without teacher intervention. We focus on two episodes from the group dialogues. In the first episode (section…

Cognitive load theory (CLT) has been successful in identifying instructional formats that are more effective and efficient than conventional problem solving in the initial, novice phase of skill acquisition. However, recent findings regarding the "expertise reversal effect" have begun to stimulate cognitive load theorists to broaden their horizon…

Two experiments explored whether children's correct answers to counter factual and future hypothetical questions were based on an understanding of possibilities. Children played a game in which a toy mouse could run down either 1 of 2 slides. Children found it difficult to mark physically both possible outcomes, compared to reporting a single…

This cross-sectional study drew on verbal protocol data to analyze the purported problem-solving nature of formulation processes. More precisely, our aim was to explore the allocation of composing time to problem-solving formulation processes in relation to 2 independent variables: (a) the language of composition (i.e., native language [L1] vs.…

The authors present 3 experiments demonstrating ways to reduce illegal moves in problem-solving tasks. They propose a 3-stage framework for the rejection of illegal moves. An illegal move must come to mind and be selected, checked for legality, and correctly rejected. Illegal move reduction can occur at any stage. Control group participants…

Frictional force is a source of misconceptions among students, as teachers know from daily experience. This is confirmed by many studies carried out by investigators from all over the world. Surprisingly (or perhaps not), we have found some of these misconceptions among physics school teachers and senior students of physics education courses…

Far from being the lone voice for a new social order, Harold Rugg was one many educators throughout the United States who believed that education should offer more to the American way of life than graduating students with some form of common knowledge, but with little ability to effect necessary change. And in 1934, few Americans would disagree…