This paper proposes a theoretical review of the term "metacognition". It was introduced by John Flavell in the early 1970s based on the term "metamemory" previously conceived by the same scholar (Flavell 1971). Flavell (1979) viewed metacognition as learners' knowledge of their own cognition, defining it as "knowledge and cognition about cognitive…

A method is developed in which an analytical solution is obtained for certain classes of second-order differential equations with variable coefficients. By the use of transformations and by repeated iterated integration, a desired solution is obtained. This alternative method represents a different way to acquire a solution from classic power…

The classical problem of the brachistochrone asks for the curve down which a body sliding from rest and accelerated by gravity will slip (without friction) from one point to another in least time. In undergraduate courses on classical mechanics, the solution of this problem is the primary example of the power of variational calculus. Here, we…

Each year the ACM hosts a truly international programming contest--the International Collegiate Programming Contest (ICPC). Dating back to a contest held by Texas A&M University in 1970, this annual event, along with the associated regional contests, has grown to 5606 teams from 1733 universities in 84 countries (in the year 2006). Despite the…

After billions of dollars, thousands of studies, and immeasurable effort by educators at all levels, why is the performance of students and teachers so unaffected by technology? Moreover, what should be done to extract genuine benefit from the information and communication technology (ICT) revolution? In this groundbreaking book, technology and…

Are there different kinds of design problems? Jonassen (2011) argued that problems vary in terms of structuredness, complexity, and context. On the structuredness and complexity continua, design problems tend to be the most ill-structured and complex. Brown and Chandrasekaran suggest that design problems may vary along a continuum from…

This book should be read by anyone concerned about the future of education in the United States. It was written for students, parents, educators, administrators, and policy makers because it will require effort from all these individuals to create meaningful change in the education system. This book discusses why the education system needs to…

Community-based research (CBR) is an increasingly familiar approach to addressing social challenges. Nonetheless, the role it plays in attaining community impact is unclear and largely unstudied. Here the authors discuss an emerging framework aimed toward fostering community impact through university and community civic engagement. They describe…

Mathematics educators are intensely interested in how mathematics is taught and learned in other countries. In Korea, for instance, the college entrance examination has played a major role in shaping Korean mathematics education (Kwon 2006). All high school students who want to pursue a college degree are required to take a college entrance…

One of the most vexing issues faced by experimental social psychologists is the creation and subsequent maintenance of a laboratory. Consequently, well-equipped experimental sociology laboratories are most likely to be found in institutions with larger resources and an established history of experimental research. Smaller institutions or those…

A unique approach to teaching and learning problem-solving and critical-thinking skills in the context of retrosynthetic analysis is described. In this approach, introductory organic chemistry students, who typically see only simple organic structures, undertook partial retrosynthetic analyses of real and complex synthetic targets. Multiple…

Clay's work regarding how learners develop independent, strategic control over the process of constructing meaning from written texts indicates that all learners need a flexible repertoire of strategies as a network for: (a) "problem solving" or working on text on the run, (b) "self-monitoring" of the message for clarity and coherence, and (c)…

How can a science concept be taught in a way that generates interest, gives students the opportunity to consider other possibilities, does not lock them into one way of doing or seeing things, and gives them some ownership of their learning? These authors searched high and low for the perfect activity to illustrate a key concept for their partner…

This article deals with a brief history of Fibonacci's life and career. It includes Fibonacci's major mathematical discoveries to establish that he was undoubtedly one of the most brilliant mathematicians of the Medieval Period. Special attention is given to the Fibonacci numbers, the golden number and the Lucas numbers and their fundamental…

Concepts in mathematics are often universally applicable to other fields. A critical aspect for success in high school or college is the ability to transfer content knowledge from one discipline to another. This is especially true for material learned in the sciences and mathematics. Several studies have suggested that strong mathematical skills…