One of the goals of the educational system is to promote the well-being of students due to its associated on their academic performance. This research aims to shed light on the main role of well-being variables (introduced by PISA 2018 for the first time, as far as our knowledge) in the mathematical competence throughout of the PISA 2018…

Students naturally have a phobia for STEM subjects which leads to poor performance in these subjects. The reason for this is varied but can be associated with the teaching approach. As an improvement on the traditional teaching method and the earlier technology-enabled teaching methodologies, using the affordances of technology to effectively…

Effective personalization of education requires knowing how each student will perform under certain conditions, given their specific characteristics. Thus, the demand for interpretable and precise estimation of heterogeneous treatment effects is ever-present. This paper outlines a new approach to this problem based on the Leave-One-Out Potential…

Prior studies identified effective, but mainly non-digital, homework aids. This research involved 18 middle school students in a lo-fi prototyping study to integrate traditional homework support tools with intelligent tutoring systems (ITS), leveraging rich log data for personalized learning. Feature investigations in standardized diaries, goal…

Prisms VR, a secondary math learning application, allows for users to see, manipulate, and engage with mathematical concepts in an embodied way in Virtual Reality (VR) environment. We examine cases in which mathematics teachers and middle school students worked through Prisms and reflected upon their experiences. Findings indicate that VR…

Many of the applied mathematics courses we teach touch upon a range of rich and important ethical issues -- issues that, for a number of reasons, are rarely openly discussed in class. In this work, we describe a sequence of activities co-designed and co-taught by philosophy and mathematics faculty in the hopes of bridging the divide between the…

This article describes emerging perspectives on contextualizing, complementizing, and complexifying--three processes involved when individuals ascribe meaning to mathematical objects of their thinking. The article is oriented toward a dialectic between theory and empirical research and is structured in two parts. The first part focuses on an…

We show that the total distance traveled by an under-damped oscillating spring mass system with sinusoidal displacement results in a nice, closed-form expression.

Mathematical argumentation is generally thought to be the paradigm of cogent reasoning. The concept of mathematical proof thus seems to be associated with necessity and enforcement, but not with freedom; however, in various ways a reference to freedom is also needed to understand the phenomenon of mathematical proof, for example, to distinguish it…

In spite of the widely accepted need for language-responsive subject-matter teaching, few teachers are prepared for this challenge due to the lack of empirically founded subject-specific professional development (PD) programs for language-responsive classrooms. The design research study presented in this article pursues the dual aim of (a)…

In this study, I examined seven first-year linear algebra students' linear independence schemas. Data came from participants' interview responses to a set of nine questions. The analysis focused on the identification of concepts and connections pertaining to plans and activations. Overall, the findings revealed the existence of routinized plans,…

Learning is a complex phenomenon. Analyzing its development can provide knowledge about regularities and differences in students' progress, which is needed to better understand learning. The aim of this study is to examine the development of students' Linear Algebra Schema through an introductory one semester course. For that purpose, Action…

Arguably the largest obstacle freshmen face in their mathematics courses is their unfamiliarity with the language of mathematics. Addressing this problem right at the start seems like a sensible strategy, as comprehension of mathematical communication helps students in all mathematics courses they will take. In this paper we discuss general…

This paper reviews the research on equitable mathematics teaching practices that focus on providing fair opportunities to learn for all children. The studies conducted with in-service teachers are examined in descriptive, integrated and critical ways to explore the differences and similarities across the body of research. Three divergent themes…

In this article we are analyzing which spherical symmetry groups can be found and which ones cannot among the eggs with wax-resist patterns most frequently used in the Carpathian Basin. We are also trying to answer the question why exactly these symmetry decorations can be found. Before that, we are providing a review on the history of decorating…