This design research study describes how one mentor teacher-teacher candidate dyad co-learned to promote student engagement and participation through using a "Collaborative Learning Structure" (CLS) tool that we are developing. We share how the dyad used the CLS, with support from a professional development facilitator and fellow…

This conceptual paper discusses two frameworks, developed independently by the lead author, that will provide the conceptual foundation for the identification and evaluation of mental computation strategies students demonstrate during an upcoming research project entitled Mental Computation in Year 5. These frameworks will be used by the lead…

An understanding of the equal sign is a fundamental concept for early algebra. While literature claimed that Chinese students commonly master the relational understanding of the equal sign in the elementary school, these claims are under-researched. This study used the Mathematics Equivalence Assessment with 237 Chinese Grade 5 students. The…

Students with mature number sense make sense of numbers and operations, use reasoning to notice patterns, and flexibly select the most effective and efficient problem-solving strategies (McIntosh et al., 1997; Yang, 2005). Despite being highlighted in national standards and policy documents (CCSS, 2010; NCTM, 2000), the association between…

Student's learning and retention of academic content in a meaningful way depends on strengthening their cognitive structures. Once this structure, which provides a framework in which new knowledge will be included, is ascertained, engaging in teaching activities can create an opportunity for learners to have a different learning experience. Word…

This study examines the impact of educational robotics and cross-age peer tutoring in primary education and focuses explicitly on the outcomes for tutors and tutees. Forty students from a public school in a European country participated, with fifth graders as tutors and fourth graders as tutees. Using the LEGO Education SPIKE Prime Set, both…

The array is a powerful tool that builds students' understanding in multiplication. Students' interactions with the array changes through the course of an instructional sequence, which can be viewed as a process of "reification." In this paper, I report the findings of a research study conducted with 45 Year 5 students in Sydney. The…

Engagement in mathematics education is an important factor in a successful student experience. This paper reports findings from a study of Year 5 student perceptions of engagement during a two-week, inquiry-based learning (IBL), problem-posing investigation. The study triangulated data from semistructured interviews, video observations and student…

In this contribution, we present a follow-up work-in-progress on an innovative system for facilitating small-group online discussions using an avatar during a video conference. A previous study has shown that the system had an effective, understandable, and more participatory interaction. Here, we examine long-term usage and its effects on…

Mathematics textbooks for upper primary classes in the English Subsystem of Education in Cameroon were examined to determine the quality of mathematics in them and possible teacher knowledge fostered. The quality of mathematics in these textbooks is classified as medium and the dominant teacher knowledge fostered is common content knowledge. This…

Problems presented in mathematics classrooms often focus on routine tasks with students practicing mathematical techniques demonstrated by the teacher. However, this does not reflect the problem-solving process in the real world, and students often find it difficult to connect school mathematics with authentic contexts. This paper discusses…

Big Ideas in school mathematics can be seen as overarching concepts that occur in various mathematical topics in a syllabus. For teachers, this knowledge can be used to help students develop a better understanding of mathematics by making visible the central ideas, and connection across topics and across levels. For students, this knowledge can…

Studies on math learning programs are lacking that consider a wide set of outcome variables, and students' practice behavior. Therefore, we investigated whether an adaptive arithmetic learning program fosters students' math performance (addition and subtraction), math self-concept, and a reduction of math anxiety, and how practice behavior…

German primary school students' reading skills have declined between 2016 and 2021, with a deficit of up to one third of a school year. The most significant portion of the decline is attributed to the COVID-19 pandemic experiences. These delays are critical because children have to catch up on skills and knowledge they should already have while…

I examined the relationship between teachers' identification of mathematical points in written lessons and students' mathematical learning opportunities. Lessons in teachers' guides and classroom instruction were analyzed for written mathematical points and those articulated by teachers during instruction. Teachers who appropriately identified…