Theoretical analysis of whole number-based calculation strategies and digit-based algorithms for multi-digit multiplication and division reveals that strategy use includes two kinds of reasoning: reasoning about the relations between numbers and reasoning about the relations between operations. In contrast, algorithms aim to reduce the necessary…

The present study explored the bidirectional and longitudinal associations between executive function (EF) and early academic skills (math and literacy) across 4 waves of measurement during the transition from preschool to kindergarten using 2 complementary analytical approaches: cross-lagged panel modeling and latent growth curve modeling (LCGM).…

The present study explored the bidirectional and longitudinal associations between executive function (EF) and early academic skills (math and literacy) across four waves of measurement during the transition from preschool to kindergarten using two complementary analytical approaches: cross-lagged panel modeling and latent growth curve modeling…

We examined Differential Item Functioning (DIF) and the size of cross-cultural performance differences in the Programme for International Student Assessment (PISA) 2012 mathematics data before and after application of propensity score matching. The mathematics performance of Indonesian, Turkish, Australian, and Dutch students on released items was…

This study aimed at exploring causal relationships between two affective factors, self-confidence and positive emotion, and two metacognitive factors, selfreflection and insight components on high school students' mathematics achievement that assessed by formative and summative assessments. The study applied partial least squares based structural…

The purposes of this study were twofold: 1) to examine the influence of performance expectancy, and effort expectancy on secondary school students attitudes toward the use of a mathematics online homework package called MyiMaths; and 2) to predict the factor that best influences their attitudes. A 15 item, five-point Likertscale instrument was…

The current study assessed 869 elementary school students in China using self-report questionnaires, to examine the multiple mediating effects of academic self-efficacy and positive academic emotions (enjoyment and relief) in the relations between teacher support and academic engagement (cognitive, behavioural and emotional aspects) within a math…

The purpose of this study is to evaluate the relationship of mathematics calculation rate (curriculum-based measurement of mathematics; CBM-M), reading rate (curriculum-based measurement of reading; CBM-R), and mathematics application and problem solving skills (mathematics screener) among students at four levels of proficiency on a statewide…

Purpose: To advance a framework of indicators that promotes implementation of math standards under the Every Student Succeeds Act (ESSA), we tested a conceptual model of the resources and processes within schools that influence the opportunity to learn mathematics (OTL) in the classroom using a recent administration of the 2011 Trends in…

Past studies have suggested that in light of recent curriculum standards, many US teachers make limited use of drawn models in their mathematics instruction. To gain insight into this phenomenon, we investigated relationships between US teachers' opportunities to learn about, knowledge of, motivation for, and instructional use of drawn models for…

The residuals obtained from fitting a structural equation model are crucial ingredients in obtaining chi-square goodness-of-fit statistics for the model. The authors present a didactic discussion of the residuals, obtaining a geometrical interpretation by recognizing the residuals as the result of oblique projections. This sheds light on the…

Today, almost all curricula in the social sciences contain at least one course in statistics, given its importance as an analytical tool. This work identifies the latent factors relating to students' motivation and attitudes toward statistics and tests their covariance structure. Specifically using a structural equations model, the work confirms…

The present study investigated the relationship between statistics anxiety, individual characteristics (e.g., trait anxiety and learning strategies), and academic performance. Students enrolled in a statistics course in psychology (N = 147) filled in a questionnaire on statistics anxiety, trait anxiety, interest in statistics, mathematical…