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…

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 current study explored the difficulties teachers encounter when teaching common fractions division, focusing on teachers' knowledge concerning this issue. Nine teachers who study towards a M.Ed. degree in mathematics education demonstrated the algorithms they apply in order to solve fractions division problems, described how they teach the…

The present study aimed to examine the geometric thinking levels of elementary mathematics teacher candidates and to reveal the relationship between the participants' geometric thinking levels and their self-efficacy beliefs towards geometry. The sample group of the study was comprised of 85 freshman students studying in the elementary mathematics…

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…

Despite the importance of computational estimation skill for the improvement of number sense, little research exists on preservice teachers' estimation skills and their view on estimation in the US context. This study examined the computational estimation skill of 58 preservice elementary teachers (PSTs) and its relationship to their views of the…

Games-based learning involves instruction with realistic game experiences (Cicchino, 2015). This action research study explored game-based learning as fifth grade mathematics students completed a brief unit on ordered pairs utilizing game-based lessons. Attitude and achievement data were collected mainly by surveys, content tests, student…

This paper examines the use of two theoretical models to analyse the complex process of changing teaching practice. The models were considered complementary in forming a theoretical framework. Analysis of one teacher's change, from the second cycle of a designbased research project for an onsite collaborative professional learning program,…

Horizon Content Knowledge (HCK, Ball, Thames & Phelps, 2008), knowledge that teachers hold about the interconnectedness of mathematics, has been recognized as an integral component of Mathematics Knowledge for Teaching, yet little is known about how or where it is taught in the preservice teacher (PST) curriculum or how researchers should…

Participation in mathematics classrooms has received considerable attention in previous research. Scholars have emphasized researchers' and teachers' perspectives on what it means to participate. I draw on sociocultural theories of learning to explore both students' and a teacher's perspectives on participation. I describe a participatory research…

The focus in this paper is on the analysis of student-centered discourse through applying a discourse analysis tool that I developed to analyze data from an elementary mathematics classroom. The purpose of the analysis tool is to understand the impact of the complex learning system on the emerging classroom discourse. The minimum conditions for…

The impact of online math programs depends on its implementation, especially in vulnerable populations from developing countries. An existing online platform was adapted, at the request of the Chilean Ministry of Education, to exclusively include exercises previously designed and tested by a paper-based government program for elementary school. We…

Recent research on multimedia learning has considered the integration of cognitive and affective aspects of media processing. The literature suggests that learners' emotions influence the effectiveness of multimedia learning, which is explained by the cognitive-affective theory of learning with media (CATLM). A multimedia design that changes…

The school system in both the Republic of Ireland [ROI] and Northern Ireland [NI] is configured to accommodate children into discrete educational bands at different stages on their learning journey. Research has consistently shown that the transition from primary to post-primary, which typically occurs between the ages of 11 and 13, is the most…