Since its first notable appearance in the "Second Handbook of Research on Mathematics Teaching and Learning," the phrase productive struggle has garnered support from a few, yet very influential, educational researchers. However, since the phrase was popularized by Hiroko Warshauer in 2011, examinations of the productive struggle have…

Two stages of skill development are: declarative (facts are interpreted) and procedural (knowledge is embodied in skill procedures). Knowledge compilation moves skills from the declarative to procedural stage in subprocesses of composition, which collapses sequences of productions into single productions, and proceduralization, which embeds…

This review considers the question as to whether there are generic problem-solving skills that cut across fields or whether the skills are so embedded within specific fields that they can be identified only within the contexts of those fields. To answer this question, an attempt was made to define both "problems" and their "solutions." Then the…

In brainstorming a group attempts to find a solution for a specific problem by amassing all the ideas spontaneously contributed by members. Brainstorming is recommended when the generation of ideas will be beneficial to the solution of problems. Four fundamental rules of brainstorming include: (1) criticism is not allowed during the thinking…

Explores inconsistent findings in earlier brainstorming research. Indicates that variation in the number of high and low apprehensive communicators assigned to a brainstorming group affects member productivity, perceptions of status differentiation, and satisfaction with the group. Supports the conclusion that communication predispositions and…

This review shows that mentally retarded children can produce problem-solving strategies if they comprehend the task requirements, share the experimenter's goal, and construct an optimal problem-solving representation. Instruction with multiple exemplars of a task can induce generalized strategy use, and nonvolitional mechanisms play a role in use…

This article reviews the history of divergent thinking tests and provides a projection of current research suggesting a bright outlook for creativity tests. A model relating problem finding and problem solving is described, as are approaches to increasing test reliability. (DB)

The discovery of penicillin is cited in a discussion of the role of serendipity as it relates to scientific discovery. The importance of sagacity as a personality trait is noted. Successful researchers have questioning minds, are willing to view data from several perspectives, and recognize and appreciate the unexpected. (JW)

The book "Productive Thinking", by Gestalt psychologist Max Wertheimer, was published over 50 years ago, yet it continues to wield influence. The book's argument on productive thinking, and why it is still relevant today, are the focus of this paper. Productive thinking involves going from a situation of bewilderment or confusion about some issue…

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…

The document discusses miscalculations by public officials, arms control experts, journalists, and the general public regarding the Strategic Arms Limitation Talks; assesses the Salt II treaty; and suggests criteria for appraising Salt II. The objective is to stimulate research, education, dialogue, and political action which will contribute to a…

An attempt is made to clarify the aims of critical training in academic subjects at the higher education level. Additionally, common motifs of thought in the extensive material of cognitive criticism are considered, and the material itself is synthesized. Attention is also directed to the criteria of essentiality and implications for teaching. Two…

Intended for teachers across grade levels and disciplines, this monograph reviews research on the development of critical thinking skills and introduces a series of these skills that can be incorporated into classroom teaching. Beginning with a definition of critical thinking, the monograph contains two main sections. The first section reviews…

Although teachers may sequence instructions carefully, they are unable to respond to the complex unique experience of each individual learner. Divergent production should be an instructional choice that enables individuals to learn through their own recall and idea construction. Learning is problem solving; when individuals do not know how to deal…

Developed by Japanese corporations to improve productivity and product quality, quality circles (QC's) are small, voluntary groups of workers who share common job responsibilities and who meet regularly to generate solutions to problems. Features of QC's that are applicable to schools are examined in the nine articles summarized in this annotated…