Spatial skills have been consistently linked to mathematics achievement in older students and adults, but we know little about their relationship to mathematics achievement in elementary school. This study examined how spatial skills influenced the development of number sense, and subsequent mathematics competency, as students progressed from the…

This study examines the role of spatial reasoning in learning among 5th and 6th grade students participating in a set of in-school, technology-enhanced, STEAM (science, technology, engineering, arts, and math) making activities. We focus our analysis on a particular type of reasoning: spatial reasoning. Prior research has shown that spatial…

A typical mathematics assignment consists primarily of practice problems requiring the strategy introduced in the immediately preceding lesson (e.g., a dozen problems that are solved by using the Pythagorean theorem). This means that students know which strategy is needed to solve each problem before they read the problem. In an alternative…

Recently, there has been growing emphasis on supporting robust learning within intelligent tutoring systems, assessed by measures such as transfer to related skills, preparation for future learning, and longer term retention. It has been shown that different pedagogical strategies promote robust learning to different degrees. However, the student…

Two types of instruction were emphasized in the solution of insight problems. One study directed subjects to reformulate their initial view of the problem to avoid unnecessary assumptions about it; another required visualization of problem components. Results indicated that reformulation instructions contributed to performance, but visualization…

Hypotheses from self-efficacy theory in the area of children's arithmetic achievement were tested. It was hypothesized that compared with didactic instruction, cognitive modeling would result in higher arithmetic achievement, self-efficacy, and accuracy of self-appraisal. (Author/GK)

Results of a comparison of conventional problem-solving strategies with alternative strategies involving worked-out problems and partially worked-out problems with a completion assignment for 46 Dutch secondary school students (45 males and 1 female) support the superiority of the alternatives, particularly the completion strategy, in solving…

Mayer and Wittrock (1996) have raised the specificity-generality issue as it applies to the teachable aspects of problem-solving transfer. Simply put, do the instructional practices that foster more efficient acquisition-learning of problem-solving strategies automatically foster more efficient problem-solving transfer? On the basis of the present…

This study demonstrated an aptitude-strategy interaction in linear syllogistic reasoning; specifically, that the efficiency of each of four alternative strategies for solving linear syllogisms would depend on subjects' verbal and spatial abilities. The four strategies, as well as research methods in aptitude-treatment interaction, are discussed.…

Detection of calculation errors, operation errors, and unanswerable problems was studied for 78 third graders and 77 fifth graders. The relationship between mathematics achievement and error detection was also examined. Older children and high achievers detected more errors than did younger students and low achievers. (SLD)