Existing research has revealed key factors influencing mathematical flexibility, defined as the capacity to understand, generate, and apply a variety of strategies in solving mathematical problems. However, there is currently a lack of an integrated theoretical framework to systematically consolidate various sources of individual differences in…

This book examines research on creative thinking, both current and historical. It explores two dimensions of human thought (time and space) and two modes of thinking (conscious and unconscious) as well as both left and right brain functions and artistic and scientific creative activities. The book proposes a "Double Circulation" model of…

How do children learn math--and why do some children struggle with it? The answers are in "Number Sense and Number Nonsense," a straightforward, reader-friendly book for education professionals and an invaluable multidisciplinary resource for researchers. More than a first-ever research synthesis, this highly accessible book brings math…

Executive function (EF) skills are the attention-regulation skills that make it possible to sustain attention, keep goals and information in mind, refrain from responding immediately, resist distraction, tolerate frustration, consider the consequences of different behaviors, reflect on past experiences, and plan for the future. As EF research…

Cognitive load theory (CLT) is one of the most important theories in educational psychology, a highly effective guide for the design of multimedia and other learning materials. This edited volume brings together the most prolific researchers from around the world who study various aspects of cognitive load to discuss its current theoretical as…

Acquiring research skills is considered to be a highly challenging aspect of developing expertise in the social sciences. Because instruction and mentoring in these skills are typically grounded in the self-report of researchers, difficulties in learning the material may be due to the content and accuracy of these explanations. Using a…

In 2010, the William and Flora Hewlett Foundation's Education Program has established the Deeper Learning Initiative, which focuses on students' development of deeper learning skills (i.e., the mastery of core academic content, critical-thinking, problem-solving, collaboration, communication, and "learn-how-to-learn" skills). Two test…

Examines the relationship between development of logical processes required in deductive reasoning and their use by preschoolers, also considering possible explanations for children's deductive reasoning. The relationship of problem content to real-world knowledge and the sequence of presentation of problem types were found to affect the display…

The goal of this study was to find a way to quantify three criteria of representational quality, described by Greeno, so that it would be possible to examine statistically the relationship between representational quality and other variables related to problem solution. The sample consisted of 18 college students, 84 percent of whom had…

This research addresses the actual goals and intentions from which students plan and organize their work in a course of study. Representations can either facilitate or hinder learning and problem solutions. Several salient aspects of adult students' representational systems and how they influenced university study were examined in two studies. The…

French tenth grade physics classes were observed as they studied electric circuits over a one-year period. An analysis is presented of tests taken during the year. The main point separating "average" students from "good" ones is their performances in "implicitly difficult exercises," that is, in what appears…

Determined whether 11 third-grade children, differing in cognitive processing capacity, solve addition and subtraction word problems differently. Results, among others, show that children who differ in cognitive processing capacity also differ in strategies they use to solve the same verbal problems and differ in their success in finding correct…

High school students (n=295) were administered variants of the student-professor problem to ascertain whether errors could be traced to implicit versus explicit relationships between the variables. Concludes that implicit variable relationship problems were harder than explicit variable relationship problems. A follow-up study to explore why is…

Asserts that metacognition is one of the most important developments in the contemporary study of learning. Proposes a theoretical analysis of a number of interrelated issues with regard to their importance for metacognition. Focuses on strategy selection in light of the impasse-based theories of problem solving. (CFR)

Examined is the relationship between junior high school students' directional reasoning about rates and numerical reasoning on proportion-related word problems. The relationship between the ability to solve context-free fraction exercises and the ability to solve mathematically similar word problems is discussed. (KR)