Adults shift their attention to the right or to the left along a spatial continuum when solving additions and subtractions, respectively. Studies suggest that these shifts not only support the exact computation of the results but also anticipatively narrow down the range of plausible answers when processing the operands. However, little is known…

Identifying mathematically gifted students is an important objective in mathematics education. To describe skills typical of these students, researchers pose problems in several mathematical domains whose solutions require using different mathematical capacities, such as visualization, generalization, proof, creativity, etc. This paper presents an…

This study's purpose was to examine the effects of the concrete-representational-abstract integrated (CRA-I) sequence on the performance of students who struggled with rational number concepts. Three students in southeastern U.S. fifth grade class participated in the study. The CRA-I intervention was grounded in the principles of explicit…

When it is required to estimate item parameters of a large item bank, Multiple Matrix Sampling (MMS) design provides an efficient way while minimizing the test burden on students. The current study exemplifies how to calibrate a large item pool using MMS design for various purposes, such as developing a CAT administration. The purpose of the…

This quantitative descriptive and correlational study aimed to explore elementary teacher beliefs about mathematics and its relationship with instructional practices. The Constructivist Learning Theory and the Guiding Principles for School Mathematics provided the theoretical framework for the study. Descriptive and correlational research…

Understanding young children's attitudes towards mathematics provides insights into their lived mathematical experiences. It has long been recognized that attitudes towards mathematics have a profound influence on mathematical achievement. Despite the considerable amount of research into students' attitudes toward mathematics, limited research has…

Although there have been a huge number of attempts to improve school algebra teaching, several countries are still struggling to improve students algebraic skills. In this study, we focus on the specific case of Sweden where students for several decades have had major problems mastering algebra. In order to get a better understanding of the…

It is important to understand how students reason in K-12 integrated STEM settings to better prepare teachers to engage their students in integrated STEM tasks. To understand the reasoning that occurs in these settings, we used the lens of collective argumentation, specifically attending to the types of warrants elementary students and their…

This article aims to illustrate how the collective resolution of routine mathematical tasks can give rise to uncertainties, fostering and supporting a rich and authentic mathematical activity. While solving routine tasks may not typically be classified as problem-solving, the research presented in this paper shows that, at the collective level,…

Little is known about primary school mathematics middle leaders' aspirations for mathematics learning. We sought to give mathematics middle leaders a voice to articulate their desires for mathematics learning based on what was most salient to them. Statements collected from 149 primary school mathematics middle leaders through an online survey…

Purpose: The purpose of the study was to gather data to determine whether instructional coaching partnerships can improve teachers' implementation of learned mathematics instructional strategies. Teachers are willing to learn and implement new mathematics strategies after professional development sessions to see better student learning results.…

Opportunities to learn related to the use of quantitative reasoning to solve higher-order real-world applications that reflect the messy nature of the world are scarce and vary across countries. Those experiences are essential to the development of quantitative literacy. This literacy, like that related to language, is critical for all children.…

Background: Research has shown that mathematics anxiety negatively correlates with primary school mathematics performance, including fraction knowledge. However, recently no significant correlation was found between fraction arithmetic performance and state anxiety measured after the fraction task. One possible explanation is the natural number…

Teachers' actions matter greatly in the mathematics classroom, but it is not always clear what guides their actions or from where they come. As teachers strive to create rich and engaging learning environments, how they capitalize on a particular moment is often unclear. Sometimes just identifying potential pathways to take can be challenging. In…

In the realm of mathematics education, geometry problems assume a pivotal role by fostering abstract thinking, establishing a connection between theory and practice, and offering a tangible portrayal of reality. This study focuses on comprehending problem-solving methodologies by observing the eye movements of 45 primary and multi-year grammar…