Complex problem solving is often an integration of perceptual processing and deliberate planning. But what balances these two processes, and how do novices differ from experts? We investigate the interplay between these two in the game of SET. This article investigates how people combine bottom-up visual processes and top-down planning to succeed…

In their 2011 study "Academically Adrift," Richard Arum and Josipa Roksa present considerable evidence that undergraduates in US colleges and universities make surprisingly little progress in their first two years of college. While acknowledging the force of this argument, the authors ask whether Arum and Roksa's evidence--about students'…

“Let’s do it again,” shout the children as they complete an activity in music class. A casual observer would be aware that the children are fully engaged but may not be sure of the lesson focus. Is it to help children learn a new orchestra piece? To teach about the beat? To teach form? To teach rhythm? To teach children to read a music score? To…

Balancing content and students' participation in the mathematics classroom is an area of both practical and theoretical interest. In this article we relate and contribute to these two interests by analyzing classroom data from an intervention project aiming at teaching mathematics through problem solving. The study shows that several aspects such…

The purpose of this qualitative case study is to describe the characteristics of three law professors teaching online courses to determine what type of adopter they were. This study used the Rogers diffusion of innovation theory, and specifically analyzed the participants on whether they were innovators or early adopters. These analyses are…

Mathematics can be a difficult topic both to teach and to learn. Word problems specifically can be difficult for students with disabilities because they have to conceptualize what the problem is asking for, and they must perform the correct operation accurately. Current trends in mathematics instruction stem from the National Council of Teachers…

Mathematics education currently emphasizes engaging students in mathematical modeling to understand problems of everyday life and society (Council of Chief State School Officers (CCSSO), 2010; English & Sriraman, 2010; Lesh & Zawojewski, 2007). The Common Core State Standards for mathematics also stress that high school students should…

From great African nations like the Ancient Kemites, Akan and Gikuyu, the world witnessed the development of the most powerful social structures, governance systems, ground breaking innovations in science and technology, and systems of thought that still exist today. Hence, in looking at the low performance levels of Black students today, the…

Regulatory Fit Theory research has indicated that the presence of a regulatory fit between an individuals chronic regulatory focus orientation and induced regulatory state can increase motivation, performance, and achievement. The research in support of regulatory fit theory is immense; however, there has been little research that focuses on…

Problem solving has been a core theme in education for several decades. Educators and policy makers agree on the importance of the role of problem solving skills for school and real life success. A primary purpose of this study was to investigate the influence of cognitive abilities on mathematical problem solving performance of students. The…

In a typical mathematics course, the material is divided into many lessons, and each lesson is followed by an assignment consisting of practice problems. Most commonly, each assignment consists solely of problems on the preceding lesson. For example, a lesson on ratios might be followed by an assignment with 12 problems on ratios. In other words,…

This study examined the effectiveness of two methods of increasing student learning from posterior probability lessons: diagrams and questioning while reading. Undergraduate students (N = 245) read a lesson in one of three diagram conditions and one of three questioning-while-reading conditions (embedded questions, elaboration interrogations, and…

While there has been worldwide interest in Japanese Lesson Study as a model for teacher professional learning, there has been less research into authentic implementation of the problem-solving lesson structure that underpins mathematics research lessons in Japan. Findings from a Lesson Study project involving teachers from three Victorian primary…

Previous studies have reported on primary children's algebraic thinking and generalising in a range of problem settings but there is little evidence of primary teachers' knowledge of algebraic thinking. In this paper the development in algebraic thinking of one primary teacher who taught a research lesson in a Japanese Lesson Study project…

This video-stimulated interview study of problem-solving activity of a high performing Grade 6 girl who displayed confidence in her mathematical ability, provides a microanalysis of tensions she encountered when her findings using concrete aides did not match her rule application. It highlights her disinclination to explore these inconsistencies.…