Fraction arithmetic facility is fundamental to learning more advanced math topics. However, attaining the ability to add and subtract fractions is hard for many students. The present longitudinal study examined students' growth on simple addition and subtraction word problems between fourth and sixth grades (N = 536). Latent class growth analyses…

The present longitudinal study investigated the developmental trajectories of addition, subtraction, and multiplication fluency; their relationships to general cognitive functions; and potential interrelations between reading fluency and growth in arithmetic fluency for different operations. The central prediction was that measures of arithmetic…

Using a randomized placebo controlled design, we examined the direct and follow-up effects (at 6 and 12 months) of a mathematics tablet intervention. Math training focused primarily on basic arithmetic (addition and subtraction facts up to 12), and secondarily on number knowledge and word problems. We investigated the moderating effects of IQ and…

How best to promote fluency with basic sums and differences is still not entirely clear. Some advocate a direct approach--using drill to foster memorization of basic facts by rote. Others recommend an indirect approach that first involves learning reasoning strategies. The purpose of the present study was to evaluate the efficacy of 2…

Children who lacked subtraction skills received didactic training in subtraction with effort attributional feedback concerning past achievement, with feedback concerning future achievement, or with no feedback. Results showed that attributional feedback for past achievement led to more rapid progress in mastering subtraction operations, greater…

This experiment explored the effects of ability and effort attributional feedback given during subtraction competency development on third-grade children's perceived self-efficacy and achievement. Children given ability feedback demonstrated the highest subtraction skill and self-efficacy; the effort and ability plus effort conditions did not…

Assesses two aspects of the validity of verbal reports in children's subtraction: reactivity and veridicality. Results reveal that students were able to able to provide veridical strategy reports, and that the instruction to verbally report had few effects on task performance. Informal findings indicate that students had less difficulty reporting…

Using error analysis and individual interviews, the problem-solving actions of first and second graders were analyzed. Shortcomings of children's knowledge and solution strategies were seen to be overcome by instruction. A control group, with usual arithmetic instruction, and an experimental group were established and the hypothesized…

The complexity hypothesis suggests that the hierarchical arrangement of learning tasks is related to the complexity of the task. Using a definition of complexity based on an analysis of the rules governing performance on a task, the present study lent support to the hypothesis. (Author/GDC)

Solution processes for simple arithmetic word problems are examined in three dimensions: the order of mention, the identity of the unknown, and the type of verb. The influence of mathematical and linguistic factors in these processes are discussed. (BJG)

The influence on children's self-efficacy and achievement through observation of peer models learning cognitive skills was investigated. The effects of modeled mastery and coping behaviors were explored. Observing a peer model led to higher self-efficacy for learning, posttest self-efficacy, and achievement. (Author/DWH)

This study assessed the extent to which procedurally proficient children (N=34) construct the part/whole logical structure that underlies the borrowing algorithm in subtraction. Results indicate that an understanding of the part/whole logic of number may be necessary to understand place value and borrowing. (TJH)

Two experiments investigated how attributional feedback sequence influences children's motivation, attributions, self-efficacy, and performance. Third graders lacking subtraction skills received training and solved problems with one of four ability and/or effort feedback sequences. Children initially receiving ability feedback developed higher…

Two classes of second graders (24 high and 19 average math ability students) were taught to use differing schematic drawings to represent differing categories of addition and subtraction word problems. Results indicate that American textbooks could include many more difficult word problems than is currently the case. (TJH)