The same and different routine offers an opportunity to build a strong foundation for future grades while also deepening the experiences of prekindergarten and transitional kindergarten students. Students have opportunities to make sense, share ideas, and engage in the ideas of others. We conjecture this type of experience supports students and…

Children's early accuracy on place value (PV) tasks longitudinally predicts their later multidigit calculation skills. However, another window into children's emerging base-ten concepts is the pattern of errors -- "smart errors" -- they exhibit on these measures. Past research has speculated that these smart errors -- similar to invented…

Despite the increasing integration of technology in early childhood education, empirical research on the effectiveness of Web 2.0-based numeracy learning remains limited, particularly in developing countries. This study investigates the impact of a Web 2.0-based Numeracy Education Program on first-grade students' numeracy skills using a…

The results of an assessment taken at the start and end of the Reception Year by children in state schools in England over three years were analysed. Over 70,000 children were assessed during this time. The results of the analysis provided evidence of what the average child could do when they started school, and how much progress they made in that…

In this article, the authors share how gameplay with dominoes can leverage students' quantitative reasoning to promote number development and additive reasoning. This article explores three domino games (Basic Dominoes, Just Before/Just After, and Ten Train), and considers the following: (1) rules and details; (2) students' subitizing and unit…

This study investigated which domain-specific and domain-general skills measured at grade 1 predict mathematical learning difficulties (MLD) status at grade 3. We used different cut-off criteria and measures of mathematics performance for defining the MLD status. Norwegian children's (N = 206) numeracy, cognitive, and language skills were measured…

Despite the vast research on the early predictors of mathematics achievement, little research has investigated the predictors of various domains of mathematics (e.g., geometry, statistics). The purpose of the present study was to examine the predictive relation between first-grade early numeracy and computation skills and third-grade mathematics…

This study used hierarchical linear modeling to examine the relationship between an internet-based mathematics formative assessment and data from a mathematics summative assessment for primary grade learners (ages 5-7). Results showed a positive relationship between formative assessment data related to the concepts of counting and decomposing…

The purpose of the present pilot study was to evaluate the effects of particular educational math games in kindergarten on numerical skills in Grade 1. Our participants were 49 children with early math difficulties, 65 average achievers, and 48 high-achieving 5-year-old children. All of them played various adaptive math games for 5 weeks. To avoid…

There is an ongoing debate over the psychophysical functions that best fit human data from numerical estimation tasks. To test whether one psychophysical function could account for data across diverse tasks, we examined 40 kindergartners, 38 first graders, 40 second graders and 40 adults' estimates using two fully crossed 2 × 2 designs, crossing…

Introduction: This study analyses the predictive role of several specific components of early numerical skills on the fluency calculation. Method: A total of 122 students (Mean age = 69.89 months; SD = 3.44), 54 girls and 68 boys participated in the study. The early numeracy skills were assessed by the end of pre primary school education, and…

This review examines reasons for Malaysian pupils' underperformance in solving mathematics problems that demand numerical estimation and mental computation. Their underdeveloped number sense appears to be the major reason. According to the Ministry of Education, the national mathematics curriculum is unlikely to account for this underachievement.…

The present study tested the hypothesis that children's fluency with basic number facts and knowledge of computational strategies, derived from early arithmetic experience, predicts their performance on complex arithmetic problems. First-grade students from United States and Taiwan (N = 152, mean age: 7.3 years) were presented with problems that…

As students progress from working with whole numbers to working with integers, they must wrestle with the big ideas of number values and order. Using objects to show positive quantities is easy, but no physical negative quantities exist. Therefore, when talking about integers, the author refers to number values instead of number quantities. The…

This study explored factors that are associated with calculation development among 176 children at-risk for learning difficulties. Data were collected on working memory, language, non-verbal reasoning, processing speed, decoding, numerical competence, incoming calculation, SES, and gender at the beginning of 1st grade and on calculations over 4…