This contribution focuses on reasoning about quadrilaterals provided by lower secondary school students when working with pre-prepared dynamic constructions. On this topic, we present an exploratory empirical qualitative study carried out within a GeoGebra Classroom environment, and our diagnostic instrument consists of a set of dynamic…

As online learning platforms become more popular and deeply integrated into education, understanding their effectiveness and what drives that effectiveness becomes increasingly important. While there is extensive prior research illustrating the benefits of intelligent tutoring systems (ITS) for student learning, there is comparatively less focus…

As online spaces for mathematics content and lesson plans become more accessible, teachers are exploring these websites to make decisions about instructional materials for their courses. These resources then have an impact on what is enacted in the classroom and what opportunities students have to learn mathematics. One of the most popular online…

This paper aims at using a Use-Modify-Create approach to explore students' mathematical problem solving by means of computational thinking (CT) and programming activities. The data collection method is participant observation, in which the researcher also has the role as teacher, guiding the group activities. In our study, two groups of students…

There is a clear disconnect between the linear and deductive presentation of written proofs and the non-linear and messy process of constructing one. This disconnect poses challenges for students who do not often have opportunities, or the necessary supports, to navigate the transition between the two, quite often contributing to feelings of…

Digital multi-representation applets offer promising opportunities for promoting students' conceptual understanding by dynamically converting graphical and symbolic representations and for promoting discoveries and justifications of mathematical properties. However, learning effects of open-ended multi-representation applets seem to depend on…

The author, Sirin Budak, discusses how to model the problem of a frog climbing out of a well using piecewise functions and GeoGebra.

Mathematical proof, often regarded as the heart of mathematics, is essential for interconnected mathematical knowledge. However, proof-writing skills do not develop inherently. Effective learning environments are vital for university students to enhance these skills. This study investigates the impact of the ISMAT model on pre-service teachers'…

Previously defined profiles for using a computer algebra system (CAS) describe prototypical uses of such a tool. When students use a dynamic geometry environment (DGE), however, new opportunities arise for transitions within and beyond the DGE. In this article, CAS profiles are used to explore students' uses of a DGE. Four cases of students, all…

Aim/Purpose: This study explored the limited research on the challenges and opportunities faced by students when creating function art using GeoGebra, addressing a gap in the literature that focuses on student outputs and engagement. It addressed the need to understand how students engage with function art and the difficulties they encounter in…

Begun in the mid-90s, computers have long been a staple in teaching mathematics to engineering students. In recent years, with the effects of the COVID-19 pandemic and the arrival of Generation Z in tertiary education, the role of blended learning has increased. This paper highlights some of the greater challenges and successes of the transition…

Conceptualized in France during the sixties, the Theory of Didactical Situations [TDS] is a pivotal framework for developing mathematics teaching and learning processes. Despite the increasing qualitative studies over the last ten years, there remains a dearth of analysis of its effects on mathematics education. Through a Grounded Formal Theory…

Recent research on more comprehensive models of student learning in adaptive math learning software used an indicator of student reading ability to predict students' tendencies to engage in behaviors associated with so-called "gaming the system." Using data from Carnegie Learning's MATHia adaptive learning software, we replicate the…

In this article, we provide an empirical example of how digital technology; in this case, GeoGebra may assist students in uncovering--or whiteboxing--the content of a mathematical proof, in this case that of Proposition 41 from Euclid's "Elements." In the discussion of the example, we look into the impact of GeoGebra's…

Intelligent Tutoring Systems (ITS) have been widely used to enhance math learning, wherein teacher's involvement is prominent to achieve their full potential. Usually, ITSs depend on direct interaction between the students and a computer. Recently, researchers started exploring handwritten input (e.g., from paper sheets) aiming to provide…