In this opinion paper we introduce a school-wide concept at doctoral level aimed at professional practitioners, who wish to stay in their respective areas of work. The rationale behind this school-wide concept is that in Hungary, where its implementation is currently in progress, gaining a PhD automatically means becoming an academic. However,…

The topic of inhibition in mathematics education is both well timed and important. In this commentary, we reflect on the role of inhibition in mathematics learning through four themes that relate to how inhibition is defined, measured, developed, and applied. First, we consider different characterizations of inhibition and how they may shape the…

This article first describes some of the basic skills and knowledge that a solid elementary school mathematics foundation requires. It then elaborates on several points germane to these practices. These are then followed with a discussion and conclude with final comments and suggestions for future research. The article sets out the five…

As long as there have been public schools, there have been reformers of public schools. All too often, they have insisted on sweeping changes; enamored of their bold, new idea, they haven't considered whether anything established ought to endure. The result? A century of faddish ideas, but little real progress. Among today's most vocal reformers…

This article presents the authors' critique of lessons proposed by the Partnership for 21st Century Skills (P21). The authors initiate a discussion about content that they hope will play out in schoolhouses and statehouses across the country. They take on a different task: they present a handful of lesson ideas from P21 that could enhance studies…

Three kinds of implicit knowledge are (1) unconscious and nonverbalizable, stemming from familiarity with environment; (2) conscious but nonverbalizable (feeling-sense); and (3) unstated conscious and verbalizable (hidden assumptions). Implicit knowing makes its main contribution at the initial stages of problem solving. (SK)

This review of the literature examines three aspects of creative thinking and production: (1) metacognitive processing; (2) the knowledge base; and (3) personality variables. It is concluded that all three are essential elements, they operate interactively, and the results of creative thinking and problem solving are best assessed through…

This article examines the relationship of cognitive processing and creativity and argues that educational interventions contribute to the development of creative thinking skills when they provide requisite knowledge structures and stress controlled application of these processes in solving progressively more complex problems. (DB)

It is argued that students who appear to ignore common sense and real-world knowledge in their approach to mathematics word problems in school are often behaving sensibly given the situation. The improvement of mathematics word problems for teaching will require changes in teacher beliefs and the use of modelling as an activity of organizing. (SLD)

The importance of balancing content instruction with instruction in higher level thinking skills for gifted students is emphasized. The article recommends providing students with sophisticated content, relating that content to essential underlying generalizations and principles, and then concentrating on thinking skills. (SW)

Comments on the results of the second mathematics assessment done by National Assessment of Educational Progress by the president of the National Council of Teachers of Mathematics. A "critical need for attention to higher-order cognitive skills" is pointed out. (MK) Aspect of National Assessment (NAEP) dealt with in this document:…

The task of teaching writing to students in business, engineering, design, computer science, accounting, and other professional areas raises the question of what knowledge the writers call upon to create a rhetorically effective writing plan. Research suggests three plausible answers: their knowledge of schemata, the structure of their topic…

It is becoming increasingly important to teach students higher-order thinking skills in addition to mere factual knowledge. Recent scientific and technological advances offer significant opportunities to implement more effective teaching of these skills. By investigating intellectual processes, cognitive science has led to a significantly better…

Memory is the primary mechanism of modern education. Despite memory's importance in other ways, it is not the primary tool for solving problems, making theories or plotting courses of action. Students should be taught how to separate trivial from important information by using critical judgments, ethical standards, and logic. (MLW)

Many elementary and junior high school students do not become proficient with common and decimal fractions because they have established few connections between the form they learn in the classroom and understandings they already have. (Author/GC)