In this report, we present cases where students constructed new quantities through operating on quantities that does not fit the definitions of existing theories on quantitative operations. As a result, we identified five quantitative operators--operators that can be used on single qualities in order to transform the quantity to a new…

The construct of static and emergent shape thinking (Moore & Thompson, 2015) characterizes differences in students' reasoning about graphs. In our previous work with middle school students, we found that this construct may also be useful in characterizing students' reasoning about other representations such as simulations and tables. In this…

Finger gnosia and fine motor skills (FMS) are assumed to play a key role in the development of arithmetic abilities, but their contribution to early numerical skills (i.e., enumeration skills and cardinality) has received little attention so far. The purpose of this study was to investigate the predictive value of finger gnosia and FMS to…

Increasing use of intelligent tutoring systems in education calls for analytic methods that can unravel students' learning behaviors. In this study, we explore a latent variable modeling approach for tracking learning flow during computer-interactive artificial tutoring. The study considers three models that give discrete profiles of a latent…

Concerns about low mathematics achievement have created a push to increase national mathematics proficiency levels through research and policy. Efforts have largely focused on early mathematics interventions for students with or at risk for mathematics learning difficulties implemented within multi-tiered response to intervention (RTI) frameworks.…

Does the mathematics course taught with logical reasoning methods have an effect on the success of students in skill-based questions and what are the students' views on teaching? Based on this problem, it was aimed to examine the effect of the mathematics course taught with logical reasoning methods on the success of students in skill-based…

This research is an ethnomathematical research that aims to explore the mathematical abilities of the Bugis people in weaving the "lipa' sabbe." This study applies a qualitative method with an ethnographic approach. The data were collected through observation, interviews, and documentation. Based on the results, it can be explained that…

As an interdisciplinary and multicultural educational framework takes the centrality of the delivery of 21st-century education across all levels, this study attempts to address the competencies that prospective and neophyte teachers need to possess to effectively design contextualized education. Through stepwise multiple regression analysis,…

This article investigates regional disparities in Romanian adults' numeracy and literacy skills. We analyse a novel data set that combines the assessment of numeracy and literacy competencies of the adult population in Romania with information about regional economic conditions and educational administrative data. Using a background questionnaire…

This study examined a 6-week intervention in which fourth grade students either played fluency games or used pictorial flashcards to develop fluency with their basic multiplication facts. Students who played fluency games showed more growth than the pictorial flashcards, but an analysis of variance showed that there was no statistically…

The purpose of this study is to investigate the reflections that arise during the implementation of mathematical modeling activities with third-grade primary school students. To achieve this goal, a case study methodology was employed. The study consisted of 9 third-grade students (average age 8), selected through purposive sampling from a public…

In mathematics education, representations are used in place of mathematical structures, ideas, or relationships to concretize, transform, and represent them. When students interact with these representations, they engage in various cognitive activities such as thinking, reasoning, understanding, remembering, problem-solving, attention, and…

Background: High working memory capacity is associated with improved mathematical problem-solving skills. A leading theory about why working memory enhances problem-solving suggests that capable problem solvers might offload information from their working memory for later use. Aims: This study examined whether the ability to offload information…

Physical activity (PA) is well-documented to benefit students' executive function (EF) and academic performance. However, prevailing research has predominantly focused on domain-general EF (across academic domains) while overlooking domain-specific EF (within specific subjects). To address this gap, this opinion article proposes an integrative…

Introduction: In this paper, we present how seventh-grade students become aware of rational numbers during mathematics instruction through the social process of objectification when comparing two magnitudes. Methods: Theoretical elements of the Theory of Objectification and the Onto-Semiotic Approach to Mathematical Instruction and Cognition guide…