Background: Recent research showed that cross-notation magnitude knowledge of fractions and decimals was related to better performance in fraction arithmetic, but it remains unclear whether it made an independent contribution to fraction arithmetic longitudinally when other cognitive variables are considered. Aims: To examine the extent to which…

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 relation between mathematical achievement in early childhood and future academic success is well established. However, the effect of instruction on mathematical performance is less well-documented and often reliant upon self-report instruction measures and standardized achievement measures. Therefore, this study seeks to use observational data…

In this study we investigated the development of 245 kindergarteners' mathematics problem solving (MPS) at two time points within 7 months using a cognitive diagnostic test, which measured three cognitive components (mathematical knowledge and skills, semantic understanding, and quantitative reasoning) with eleven cognitive attributes. The effects…

Early calculation abilities in preschoolers are predictive of mathematics achievement in subsequent grades (e.g., Jordan et al. 2009). Two studies were conducted to evaluate concurrent and longitudinal predictors of early calculation skills. In the first study, 102 preschoolers (57.8% female; mean age?=?60.57?±?8.66 months) were given vocabulary,…

Purpose: The purpose of this descriptive study is to investigate why some elementary children have difficulties mastering addition and subtraction calculation tasks. Design/methodology/approach: The researchers have examined error types in addition and subtraction calculation made by 697 Portuguese students in elementary grades. Each student…

This investigation used an ABAB withdrawal design to determine the effect of self-monitoring using the MotivAider® (MotivAider, 2000) on percentage of intervals of on-task behavior by an 11-year old male with a moderate intellectual disability who attended a rural middle school. The MotivAider® is a small device, the size of a pager, which can be…