The aim of the study is to conduct a bibliometrical analysis on the published articles related to RME. Accordingly, Scopus database was scanned using the keywords "realistic mathematics education" or "realistic mathematic education" or "realistic maths" or "realistic mathematical education" and a total…

In this paper, drawing on the philosophy of dialectical materialism, we present an elaboration of two concepts that tend to remain backstage in debates in the field of history in mathematics education, namely, the concept of "mathematics learning" and the concept of classroom "mathematics knowledge." The elaboration of these…

This manuscript contributes to research on how algebraic thinking about operations and properties can develop, and relevant forms of curricular activity. The key question asked is: how can students' early algebraic activity be fostered through focusing on relations involving operations and properties? We adopt Radford's three aspects of algebraic…

Mathematical representations are 'visible productions' that embody mathematical ideas. The author guides teachers with suggestions for the use of representations in mathematical problem solving with students. Representations can be used to help make abstract mathematical ideas accessible, allowing teachers and students to interpret, communicate,…

This paper introduces tools for converting circular-featured-waste into polygonal construction parts and then 3D polyhedra. The tools, including diagrams, 3D printable joiners and mathematical formulae are designed for mathematics-related play, re-use, learning, design and improvisation. Activities for students include making assemblies, gathering…

Counting is an intellectual activity that is usually identified with the assignment of positive whole numbers ("1, 2, 3, 4, ...") in one-to-one correspondence with a collection of items in one's attentional field. Taking into account a broader, "combinatorial" meaning of the term, counting extends far beyond this description.…

Math anxiety negatively affects student learning and academic performance. Students with high math anxiety exhibit physical, mental, and emotional symptoms. As a result, they tend to avoid mathematics and mathematics-related situations, perform poorly, and exhibit deficiencies in working memory. Research studies have shown that inquiry-based…

In Spring 2020, the need for redesigning online assessments to preserve integrity became a priority to many educators. Many of us found methods to proctor examinations using Zoom and proctoring software. Such examinations pose their own issues. To reduce the technical difficulties and cost, many Zoom proctored examination sessions were shortened;…

This report presents findings from an evaluation of the Air Tutors math program during the 2023-24 school year in two school districts: District A in Colorado and District B in Texas. It examines student participation rates and the program's impact on math achievement as measured by both state standardized summative assessments and district-level…

This study posits mathematics as a fundamental methodological framework for navigating the complexities of multidisciplinary research. It argues that the increasing prevalence of real-world problems demands the integration of knowledge from diverse scientific fields, where mathematics, particularly through the method of analysis and synthesis,…

England's schooling landscape is being remodelled and the move from hierarchical to heterarchical modes of governance has implications for systemic change strategies. Balancing local and networked autonomy with centralising policies complexifies choices for schools, creating tensions that this article explores through the context of curriculum…

Questions regarding the construction of mathematical authority have implications for learning, specifically for students' views of themselves as mathematics learners and doers with valuable contributions. We consider the ideas proposed by eight first-grade students who had the most airtime during 12 lessons of a classroom teaching experiment. We…

The importance of constructing mathematical arguments and critiquing the reasoning of others has been emphasized as a key component for deep mathematical understanding. As a result, acknowledging proof as an essential tool to comprehend mathematics at all grade levels has been suggested by many researchers as well as reform initiatives. To do so,…

The aim of this study was to develop, implement, and evaluate an intervention program focusing on developing Grade 5 and 6 students' functional thinking. The innovative aspect lies in addressing simultaneously various aspects of function--input--output, covariation, correspondence, and object--in terms of manipulating tasks that involve functional…

This study examined the longitudinal changes in kindergarten demographics and child outcomes by comparing data from the Early Childhood Longitudinal Survey (ECLS-K) 1998 and 2011 cohorts. Results demonstrated that there were significant changes in kindergarten in general and with regard to FDK and HDK schedules between 1998 and 2011. These…