Research Findings: This study investigates the role of fine motor and mathematics instruction in mathematics achievement in an international sample of kindergarteners from the United States and China. Multilevel modeling was used to assess the interaction between students' entering skills and classroom time spent on basic math, higher-order math…

This article presents the results of an analysis of ethnographic data collected in three second language mathematics classrooms in Canada. The elementary school classes consisted of a group of indigenous students, a group of new immigrant students and a class in a French immersion programme. The focus of the analysis was on the sources of meaning…

The present study contributes to knowledge about how to design tasks that benefit from dynamic software in math education, comparing practice performance and learning outcomes among 129 students practicing on two different task designs using GeoGebra. The task designs differed with respect to the presence or absence of guidelines on how to solve…

We share here results from a quasi-experimental study that examines growth in students' algebraic thinking practices of generalizing and representing generalizations, particularly with variable notation, as a result of an early algebra instructional sequence implemented across grades 3--5. Analyses showed that, while there were no significant…

The reported study is situated within the process of developing a reform-oriented national mathematics curriculum for compulsory education in Greece by a design team that involved teachers, academic researchers, and policy-makers. From an activity theory perspective, we identify the activity systems of mathematics teaching, research in mathematics…

To contribute to the sparse educational research on student understanding of eigenspace, we investigated how students reason about linear combinations of eigenvectors. We present results from student reasoning on two written multiple-choice questions with open-ended justifications involving linear combinations of eigenvectors in which the…

Solving STEM problems requires that data (numbers and units) from a word problem be substituted into a mathematical equation(s) for solution. However, solving STEM problems is an implicit process that provides little or no guidance for the problem solving process. In this study symbols linking the data to the mathematical equation(s) are used to…

Blended learning models can help teachers leverage the power of technology to customize student learning and differentiate instruction for students at varying achievement levels. Research on the effectiveness of blended learning in K-12 education has largely relied on case studies, and findings suggest differences in achievement outcomes based on…

The aim of this study is to examine the mistakes made by students in the use of logical connectives while simplifying algebraic equations and inequalities, and the extent to which teachers are aware of these mistakes and how they assess them. The study was conducted among 50 ninth grade students and 63 practicing teachers of mathematics. The data…

The ability to think mathematically includes many mental activities which involve the workings of the brain. To describe students' mathematical thinking ability, one of the efforts that can be done is to apply the mathematical problem-based learning model. It involves students to solve a problem through scientific method stages, so that students…

Engaging in argumentation can lead to an increase in the development of critical-thinking skills, not to mention academic achievement, emotional maturity, and academic and communication skills. If argumentation is such an effective format for developing rigorous academic ideas, how might it be used in discussion-oriented classrooms to engage…

We examine the relevance of task exposure specificity in the development of self-efficacy evaluations among 15-year-old students in Organisation for Economic Co-operation and Development (OECD) countries. We use data from the 2012 edition of the Programme for International Student Assessment (PISA) to assess if students' self-efficacy evaluations…

Affect and mathematical competence are each multifaceted constructs. Accordingly, the studies in this Special Issue address multiple pathways between the two in young children. This commentary highlights the variability of these pathways and asks how affective variables are specifically related to core mathematical activities such as problem…

This is a position paper in which we argue for "Teaching for Mathematising" as a pedagogy that supports teaching mathematics for understanding in primary school. Mathematics education in Australia currently emphasises teaching for mathematical understanding, a shift that redirects children's learning from merely memorising computation…

This paper deals with the nature of teaching mathematical thinking and presents a case study of a single Japanese lesson where the characteristics of mathematical thinking and the teaching thereof are identified in relation to multiplication. The raison d'être for this teaching is questioned and investigated by looking at how multiplication is…