Understanding children's attitudes towards mathematics provides insights into their lived mathematical experience and engagement. Despite the considerable amount of research into students' attitudes toward mathematics, limited research has been conducted into "young children's" attitudes toward mathematics (YCATM). Within this limited…

The aim of the present study is to explore strategies in enumerating units of three dimensional (3D) arrays. We analyse enumeration strategies of students in grade 3 (ages 8 to 9) in situations of cubical and spherical representations of units of 3D arrays. By exploring students' strategies in these two situations, we find that difficulties in…

This study explored the mathematics engagement of Australian primary students who currently struggle with mathematics learning and who participated in an intervention program. The research aimed to identify the elements that facilitated their engagement across three learning settings that they experienced concurrently: their "Extending…

The current study is part of a comprehensive research on linking visualization, students' construction of geometrical concepts and their definitions, and students' ability to prove. The aim of the current study is to investigate the effect of learners' understanding of definitions of geometrical concepts on their understanding of the essence of…

Originating from the learning sciences community, design-based research (DBR) is attracting interest from many educational researchers including those focused on mathematics. Beyond its research role, it is being seen as a collaborative way to engage teachers in deep professional development leading not only to changes in skill but also in…

The shift from additive to multiplicative thinking is challenging for students. A professional learning program was developed that focused on an identified area of need by teachers, namely multiplicative thinking. Program content focused on concepts underpinning multiplicative thinking, pedagogical approaches, challenging tasks, and application to…

Video clubs have been used for more than a decade to support teachers' professional noticing. Accordingly, numerous studies have evaluated video use as a tool for professional learning, concentrating on aspects such as video selection, club meetings, and teacher interviews. Yet, few researchers have considered noticing as a result of repeated…

Over the last years, there is a growing interest in studying students' difficulties with rational numbers from a cognitive/developmental perspective, focusing on the role of prior knowledge in students' understanding of rational numbers. The present study tests the effect of the "whole" or "natural number bias" (i.e., the…

Programs that provide underserved populations with access to high-quality mathematics through workshops, clubs, and classroom observations (Civil, Stoehr, & Salazar, 2019; Civil & Bernier, 2006; Diaz-Palomar, Menendez, & Civil, 2011; Jimenez-Castellanos, Ochoa, & Olivos, 2016; Muir, 2011, 2012; Quintos, Civil, & Bratton, 2019)…

The theoretical reflection on the nature of school algebra and the development of algebraic thinking from the first educational levels is a relevant topic in mathematics education. In this paper, we first summarize and clarify the positions held on this topic by two theoretical frameworks: the Theory of Objectification and the Onto-semiotic…

Mathematical reasoning, which plays a critical role in students' capacity to make sense of mathematics, is now emphasised more strongly in various curricula internationally. However, reasoning is sometimes difficult for teachers to recognise, let alone teach. This case study considers video of one teacher's implementation of a problem-solving…

The current study attempts to investigate whether using multiple diagrams attached to a geometry task could reduce difficulties in the proving process regarding concepts in three-dimensional geometry. Ninety 12th-grade students participated in the study. The research included the use of a questionnaire whose items invited open-ended responses…

Despite teacher enjoyment of teaching being associated with a range of benefits for teachers and their students, little research exploring the characteristics of teachers who enjoy teaching mathematics exists. Semi-structured interviews were conducted with ten teachers who scored in the top third in terms of their enjoyment of teaching mathematics…

In the literature in recent years, a number of developmental studies have demonstrated the importance of children entering the school environment with a solid foundation of mathematical content knowledge and argued that problem solving, as an important mathematical process, should be acknowledged in early childhood mathematical education. However,…

The study of pivotal teaching moments (PTMs) offers significant insights into mathematics classroom interactions. PTMs are student-generated instances within a lesson that provide opportunities for teachers to modify planned instruction (Stockero & Van Zoest, 2013). Given the importance of interactions and discourse in students' mathematical…