Language and numerical development are associated in early childhood. In the present study, we focused on the association of the development of children's cardinality understanding of small numbers and their knowledge on unspecific quantifiers (i.e., many, a few). In a longitudinal study, we pursued the research question whether children's…

This longitudinal quantitative study determined the impact of a summer mathematics academy for early learners on their number sense and how their number sense compared to that of their peers who did not attend the academy. The Texas Early Mathematics Inventory -- Progress Monitoring (TEMI-PM) was used to measure students' number sense. Results…

This article presents activities focused on developing some essential Year 1-3 fraction understandings (i.e., joining/composing, decomposing/ partitioning) while aligning these activities to the Australian Curriculum content strands and content descriptions. Additionally, the authors describe the materials/resources needed, the key vocabulary…

A number of previous studies have identified cognitive deficits in developmental dyscalculia (DD). Yet, most of these studies were in alphabetic languages, whereas few of them examined Chinese DD. Here, we conducted a study aiming to determine the cognitive factors associated with DD in Chinese children. Five candidate cognitive factors of…

After some studies on students with Down syndrome (DS) who learned algebra and problem solving and few single case studies on analytic geometry, here the experience on analytic geometry was extended to 6 adolescents with DS, who attended mainstream schools. They were taught individually in the afternoon, one day per week, for 9 months by the same…

In this paper, we present parts of an online qualitative research project which lasted a whole semester about the understanding of real numbers by sixty first-year Greek mathematics undergraduate students during the COVID-19 pandemic. We focus on the distinction between rational and irrational numbers and their location on the number line using…

This research aims to explore students' learning obstacles in solving fraction problems in elementary school. This qualitative research used a case study method. The research subjects involved 30 third-grade elementary school students from two different schools in Bandung City, Indonesia. The instruments utilized were test and non-test. The test…

We characterize the recently included programming content in Swedish mathematics textbooks for elementary school. Especially, the connection between programming content and traditional mathematical content has been considered. The analytical tools used are based on the so-called 5E's, a theoretical framework of action, developed within the…

Grades 4 and 8 students had shown slow but steady improvement in scores on the National Assessment of Educational Progress (NAEP) mathematics assessment from 1990 until 2013, but performance since then has been lower despite the introduction of the Common Core State Standards for Mathematics (CCSSM) in the early 2010s. This study examined student…

Shifting classroom discourse to be more student-centered has become an integral part of reform-oriented instructional practices. At the same time, shifting discourse can open up opportunities for inequity to occur in the immediate learning environment as both the quantity and quality of mathematical talk changes. In this project, I examined…

Using multiple external representations is advocated for learning in STEM education. This learning approach assumes that multiple external representations promote richer mental representations and a deeper understanding of the concept. In mathematics, the concept of function is a prototypical content area in which multiple representations are…

Games have shown to be great tools for learning a variety of topics, but few games have been developed mathematics topics at the undergraduate level. One possible avenue is to pursue digital game-based learning. The game "Vector Unknown" was designed from a task from the Inquiry-Oriented Linear Algebra (IOLA) curriculum to connect…

Academic scholars face a difficult challenge when attempting to grasp the intricate world of mathematics. The complexity of mathematical concepts often lies hidden beneath layers of formulas and procedures, obscuring their true essence. Traditional educational resources often fall short in conveying the profound meaning behind these concepts,…

Research shows primary teachers report negative dispositions towards teaching mathematics, impacting their confidence and student outcomes. One approach to improve teacher and student enthusiasm is using picturebooks. While research supports the use of picturebooks in mathematics learning, specific guidance for teachers to implement this practice…

Augmented reality (AR) and virtual reality (VR) have been noted to enhance student learning by supporting spatial reasoning and visualization, long-term memory, engagement, and increased motivation. The researchers situated the exploration of these tools for learning within the culturally responsive pedagogy (CRP) in mathematics education. The…