Researchers and instructors have only recently embraced the role of errors as vehicles for learning in the algebra classroom. Studying a mixture of correct and incorrect worked examples has been shown to be beneficial relative to correct worked examples alone. This study examines the effectiveness of having students generate, or anticipate, errors…

Purpose: The purpose of this paper is to illustrate how associationism mistakenly assumes that direct experience is possible; that is, there is expectation-free observation and association without prior expectation. Thus, associationism assumes that learning involves the absorption of information from the environment itself. However, contrary…

Although error avoidance during learning appears to be the rule in American classrooms, laboratory studies suggest that it may be a counterproductive strategy, at least for neurologically typical students. Experimental investigations indicate that errorful learning followed by corrective feedback is beneficial to learning. Interestingly, the…

Leadership is a highly complex activity, as leaders respond to increasing diversity and external accountability. Additionally, there is increased recognition that leadership is deeply contextual, sensitive to macro-politics of systems and micro-politics of individual schools. In Ontario, Canada, the school improvement effort is focused on raising…

Middle school algebra students (N = 125) randomly assigned within classroom to a Problem-solving control group, a Correct worked examples control group, or an Incorrect worked examples group, completed an experimental classroom study to assess the differential effects of incorrect examples versus the two control groups on students' algebra…

Five experiments demonstrated that 6.5-month-olds perseverated in a violation-of-expectation task to examine reasoning about width information in containment events. After watching a familiarization event in which a ball was lowered into a wide container, infants failed to detect the violation when the same ball was lowered into a container half…