For students to engage in mathematical thinking, a greater emphasis is needed on the expectations of students, by themselves and others, as active listeners and explainers. As student responsibility for mathematical thinking and participation increases, the roles of the teacher and learner change. A qualitative study of changing classroom…

There is growing recognition that mathematical modeling can be a lever for equity in elementary mathematics classrooms. This study focuses on the impact of a professional development program focused on culturally responsive mathematical modeling on 8 kindergarten through 2nd grade teachers' practices in modeling lessons. We use a project developed…

Character encompasses six basic virtues. These virtues can be listed as wisdom, courage, humanity, justice, temperance, and transcendence. Each virtue comprises various character strengths that are creativity, curiosity, open-mindedness, love of learning, perspective, honesty, bravery, perseverance, zest, kindness, love, social intelligence,…

The idea of variation is a foundation of statistical reasoning, and many curriculum documents, including the "Australian Curriculum", include variation in the learning required for the primary years. In this paper, we consider the design of activities that can exemplify the idea of variation for young students and investigate how…

Rules are often created based on the needs and values of society. Social rules, on the other hand, are guidelines that state whether we should or should not do certain behaviors. In addition to educational activities, schools also include activities aimed at teaching social rules. The concept of rule, its formation, implementation, classification…

The current paper overviews a nine-month PhD study that investigated the impact of learning mathematics through sequences of challenging tasks on the mathematical competence and attitudes of Year 2 students (n = 59). Adopting a Self-Determination Theory lens, a pragmatist paradigm and a mixed-method design, the study found that at all levels of…

This study investigated direct and indirect pathways from listening comprehension (LC) to reading comprehension (RC) via fluent word reading (FWR) in grades 1-3, and path equivalence across these grades. LC's total effects predicting RC range from 0.45 to 0.59 in grades 1-3, a stronger relationship than found in previous studies. Overall, LC's…

We administered specially-designed, free-response mathematics tasks to primary students (N = 583, ages five to 12 years old). Our focus was on whether (i) the children's responses could be reliably assessed, and (ii) the responses could provide insights into children's mathematical thinking. We used a contemporary comparative judgement technique,…

This study enquires into the embodied processes of children in solving multiplication tasks, considering how such processes can expand access to spatial reasoning skills and simultaneously develop students' understanding of multiplication. The analysis focused on four Year 2 students as they completed two embodied tasks. The aim was to understand…

Students with dyscalculia often face significant challenges in visual memory, which is critical for mathematical learning, particularly in recognizing and differentiating geometric shapes and their properties. This study aims to explore the extent to which an action plan, tailored to the unique learning characteristics of students with…

Technology can play a pivotal role in mathematics education. Qualitative methods were used to report on how a Year 1-2 teacher incorporated "Conveyance technology" (iPads), to support the teaching and learning of mathematics through student reasoning and problem-solving. The study was conducted in Australia. A single case was chosen,…

This article reports on the effectiveness of an intervention using conceptual change approaches within challenging tasks, on the mathematics gains for low-performing year 3-6 students in in six primary schools. Quantitative data from PAT-Maths testing for each year showed a consistently large effect size of 0.7 compared to expected gain data from…

The current investigation systematically contrasted teaching with cognitively demanding (challenging) tasks using a task-first lesson structure with that of a teach-first lesson structure in a primary school setting (Year 1 and 2). The findings indicate that there is more than one way of incorporating challenge tasks into mathematics lessons to…

This preregistered study examined whether extraneous illustration details promote attentional competition and hinder reading comprehension in beginning readers. Reading comprehension was highest in the Streamlined Condition (text + relevant illustrations) compared to a Standard Condition (text + relevant illustrations + extraneous illustrations)…

This paper investigates the interplay of words and expressions with students' efforts to indicate times on a clock. We consider how elementary students interpret precise times (e.g., 2:30, 4:30) as compared to relative times (e.g., half past 11) as they describe this intangible quantity using a clock. Interviews with students in grades 2 and 4 (n…