A deeper understanding of the processes leading to problem framing and behind finding solutions to problems should help explain variability in the quality of the solutions to those problems. Using Sternberg's WICS model as the conceptual basis of problem solving, this article discusses the relations between creative, analytical, practical, and…

The hammer-and-nail phenomenon highlights human tendency to approach a problem using a tool with which one is familiar instead of analyzing the problem. Pedagogical suggestions are offered to help students minimize their mathematical impulsivity, cultivate an analytic disposition, and develop conceptual understanding.

Babies think differently than adults, and understanding how they think can help us see their explosive brain growth in everyday behavior. Infants learn language faster than adults do, use statistics to understand how the world works, and even reason about the minds of others. But these achievements can be hidden by their poor self-regulatory…

Using a behavioral ethics framework and YouTube video clips, this exercise engages students in a demonstration of how people employ cognitive errors and self-deception to protect their interests when making ethical decisions. This approach helps instructors supplement lessons using normative theories to teach business ethics. Normative theories…

Only knowledge is not sufficient to make students succeed in the world. Students need to attain 21st century skills like problem-solving, creativity, innovation, metacognition, communication etc. to endure in the modern world. Problem-solving skill is one of the fundamental human cognitive processes. Whenever students face a situation where they…

In this Brief Report, we share the main findings from our line of research into embodied cognition and proof activities. First, attending to students' gestures during proving activities can reveal aspects of mathematics thinking not apparent in their speech, and analyzing gestures after proof production can contribute significantly to our…

In the authors' attempts to incorporate problem solving into their mathematics courses, they have found that student ambition and creativity are often hampered by feelings of risk, as many students are conditioned to value a produced solution over the actual process of building one. Eliminating risk is neither possible nor desired. The challenge,…

Serious identification of the gifted started with the work of Lewis Terman early in the 20th century. Terman's model, based largely on IQ, may have made sense in the early 20th century, but it no longer makes sense today. The problems that society needs its gifted individuals to solve in the 21st century require much more than IQ--in addition to…

The purpose of this paper is to outline some new developments in a mature research program that sees administrative theory as cohering with natural science and uses a coherence theory of epistemic justification to shape the content and structure of administrative theory. Three main developments are discussed. First, the paper shows how to deal…

All students should be provided with opportunities to develop conceptual understanding prior to procedural fluency. To develop students' conceptual understanding, teachers must learn such skills as how to select, plan, and enact cognitively demanding tasks (CDT) and to evaluate evidence of student learning. Therefore, teachers need opportunities…

Reading difficulties are experienced by children either because they fail to decode the words and thus are unable to comprehend the text or simply fail to comprehend the text even if they are able to decode the words and read them out. Failure in word decoding results from a failure in phonological coding of written information, whereas, reading…

Earthquakes, lightning, and history-changing ideas are classic examples of powerful, unpredictable forces of nature. These sorts of phenomena have been difficult to explain and predict, an often frustrating fact as humans try to understand and control the significant influences in our lives. Historically, such phenomena have been attributed to…

In acquiring number words, children exhibit a qualitative leap in which they transition from understanding a few number words, to possessing a rich system of interrelated numerical concepts. We present a computational framework for understanding this inductive leap as the consequence of statistical inference over a sufficiently powerful…

Science's inductive method required patient, humble and self-controlled behavior; Christian revelation demanded the same virtues. The discoveries of science and the truths of scripture would always harmonize as long as both men of science and men of faith conducted themselves in scrupulous accordance with their duty. So ran a central argument in…

In the movie "A Beautiful Mind" there is a scene where future Nobel prize winner John Nash is captivated by a fellow student's tie. When asked about his behavior Nash quips, "There has to be a mathematical explanation for how bad that tie is." (Grazer & Howard, 2000) In this light moment, director Ron Howard attempts to show us that the mind of a…