This essential handbook is a must-have for anyone teaching mathematics and statistics in Aotearoa New Zealand, from student teachers to experienced educators. It offers a comprehensive resource for both primary and secondary school teachers, filled with classroom-ready activities designed to engage diverse learners and foster positive mathematics…

This article describes how the authors developed the activity Speaqual to enable their students to "speak" about the "equal" sign and foster communication of their reasoning. The article explains how to play Speaqual and how the students were thoroughly engaged in a friendly competition, centralizing algebraic concepts and…

Disparities in Mathematics performance have been shown across race and gender for decades, although little research has reported the race by gender nexus in terms of disparity. In turn, research done to ameliorate these disparities have assumed that these differences are primarily among student populations who need remedial learning improvement.…

This study investigated how well students differentiate their responses' accuracies (metacognitive monitoring) and estimate their test scores beyond counting--and counting on--the number of correct responses alone. Monitoring abilities of 2832 sixth-graders (1410 male and 1422 female native in Turkish) at an 11-item Program for International…

Around the globe, young students are expected to learn about time, yet how is it that they themselves make sense of this topic? From a sociocultural perspective, sense-making about time emerges in relation to properties of available tools and representations, such as analog clocks or digital notation. Such interactions with the symbols and…

In this study we aim to characterize a way of proving which can be produced in a primary mathematics classroom and explore the factors that influence these processes and lead to changes in the way of proving. Assuming proving as a socially embedded activity, we conceptualize it as the interplay between 'construction' and 'substantiation' based on…

This study aimed to investigate the specialized content knowledge of pre-service primary school teachers about multiplication through problem posing and the justification for the accuracy of the multiplication of a two-digit number and a single-digit number. The research questions were formulated based on the theoretical framework of Ball and her…

Creative thinking skills are part of globalization era education and can be applied by implementing innovative learning models. This study aims to test the effectiveness of the open-ended learning and creative problem solving models to teach students' creative thinking skills on learning mathematics in elementary school. This research applied…

In this paper, we examine the national curricula for primary mathematics for each of the four constituent nations of the United Kingdom (England, Northern Ireland, Scotland and Wales) for the estimation-related opportunities they offer children. Framed against four conceptually and procedurally different forms of estimation (computational,…

This article addresses the nature of student-generated representations that support students' early algebraic reasoning in the realm of generalized arithmetic. We analyzed representations created by students for the following qualities: representations that distinguish the behavior of one operation from another, that support an explanation of a…

Analysis of consistent Zearn Math users and a comparable group of low- or non-users, across 6 districts in Nebraska, shows that students who used Zearn Math consistently had higher levels of academic growth than similar students with low- or no-usage. For this analysis, 784 students who completed an average of 3+ Zearn Math lessons per week,…

Angle measurement is a significant topic in almost all areas of mathematics learning and also in many disciplines outside mathematics education, such as engineering and architecture. According to the literature, there are three common conceptions of angles--as union of rays, rotations, and wedges. Researchers argued that students must consider…

Understanding how young learners come to construct viable mathematical arguments about general claims is a critical objective in early algebra research. The study reported here characterizes empirically developed progressions in Grades K-1 students' thinking about arguments concerning sums of evens and odds. Data are drawn from classroom lessons…

Incorporating visual representations, rather than strictly relying on symbolic representations, is a research-based strategy for supporting fraction learning. However, students must also make transitions between visual and symbolic fraction representations to apply the conceptual understanding they gained from visual representations to symbolic…

The hundreds chart is a valuable tool for teachers in elementary mathematics classrooms. The present study investigated the effects of spatial configurations of virtual hundreds charts on children's knowledge of base-ten concepts. Kindergarten and first-grade students were assigned to three instructional conditions in which they worked with a…