In Norway, children are encouraged to pose a problem that they can solve using an arithmetical calculation. This is known as 'regnefortelling'. During a larger project, we became interested in a small group of "regnefortelling" which used unusual contexts, contexts that made us uneasy and invoked a feeling of uncertainty about how we…

The purpose of this study was to determine whether patterns of strategy use in second, third and fourth grade children's arithmetic supported Steffe's model of numerical development. In addition to student-generated strategies, we looked at commonly taught algorithms not considered in Steffe's model to determine whether these algorithms reflected…

Cognitive abilities as well as math fluency play an important role in mathematical skills. Understanding the relationship between cognitive abilities and mathematical skills is imperative to teaching effective arithmetic skills. The present study aimed to investigate the relationship between cognitive ability and math fluency with 38 first and…

A paucity of research has directly compared empirically supported interventions to examine their effectiveness among students with different mathematics fluency skills. The purpose of this study was to compare the effects of two empirically supported interventions and a control condition on the mathematics fluency of 98 second and third grade…

Using the ''between-grade levels'' regression discontinuity design, this study examined the hypothesized differential sensitivity of logico-mathematical (LM) and infralogical (IL) operational tasks to the effects of chronological age and first grade schooling in a sample of 580 1st and 2nd grade Israeli children. The results indicate that the…

This study sought to examine the effects of Tier 2 intervention in a multitiered model on the performance of first- and second-grade students who were identified as having mathematics difficulties. A regression discontinuity design was utilized. Participants included 126 (Tier 2, n = 26) first graders and 140 (Tier 2, n = 25) second graders. Tier…

A two-year project was conducted, mainly with two goals, to make the students fluent in addition and subtraction and to have the students develop an understanding of computation that was strong enough to solve more than routine problems. The most common method for teaching children computation is teaching the standard procedures and then giving…

Previous studies stressed the importance of half as an anchor in performing proportion and probability tasks. Thus, it can be supposed that this reference can help children when adding fractions. This possibility is examined in this investigation, contrasting two situations: one in which half is presented as an anchor during the solution of adding…

The aim of the present study was to investigate the performance in arithmetic related to achievement levels in reading and mathematics. Basic arithmetical facts and multi-step calculations were examined. The participants were 941 pupils aged 8 (N = 415), 10 (N = 274) and 13 (N = 252) years. The pupils were divided into four groups by standardized…

Compared project (n=79) and nonproject (n=111) third-grade students on their conceptual development in arithmetic, their personal goals in mathematics, and their beliefs about reasons for success in mathematics. Project students attained more advanced levels of conceptual understanding and held stronger beliefs about the importance of working…