This article focuses on the possible relationship between predictions, developed during the resolution of geometrical tasks within a Paper-and-Pencil Environment (PPE), and subsequent explorations within a Dynamic Geometry Environment (DGE). Building on Fischbein's Theory of Figural Concepts, and to gain insight into the transition of predictions…

Incorporating visual representations, rather than strictly relying on symbolic representations, is a research-based strategy for supporting fraction learning. However, students must also make transitions between visual and symbolic fraction representations to apply the conceptual understanding they gained from visual representations to symbolic…

Instructional designs that include two or more artifacts (digital manipulatives, tables, graphs) have shown to support students' development of reasoning about covarying quantities. However, research often neglects how this development occurs from the student point of view during the interactions with these artifacts. An analysis from this lens…

The introduction of digital artefacts for the teaching/learning of mathematics raises the issue of "transitioning" between the mathematical knowledge built in digital contexts and that built in a more traditional, non-digital context, and vice versa. In this article, we address this issue by presenting a teaching experiment aimed at…

This study focuses on a case study that highlights the mathematical discourse developed by two pairs of students when dealing with a specific transition task, i.e., an activity leading to the construction of a graph of a function based on the exploration of another representation of the same function. Such a task was designed to work on the…

Using the theoretical constructs of double instrumental genesis and instrumental distance, in this article, I examine case studies of four primary school teachers (K-5) in British Columbia, Canada, who implemented the multi-touch, iPad application TouchTimes (hereafter, TT) into their mathematics teaching. This novel digital technology provides…

This article queries how learning analytics systems can support content-specific group formation to develop students' thinking about a specific mathematical concept. Automated group formation requires identifying personal characteristics, designing tasks to probe students' perceptions, and grouping them to increase individual learning chances.…

While programming was introduced to mathematics classrooms in the 1980s, emerging robotic technologies have encouraged more widespread integration of these technologies to support the development of K-12 students' mathematical reasoning. The recent emphasis of programming and computational thinking in K-12 education has highlighted the need to…

The purpose of this study is to further our understanding of orchestrating math-talk with digital technology. The technology used is common in Swedish mathematics classrooms and involves personal computers, a projector directed towards a whiteboard at the front of the class and software programs for facilitating communication and collective…

In this research, we explore the potential for computational thinking (CT) to benefit the spatial reasoning abilities of thirty-three middle-school students (aged 11-13) in grades 6 and 7. There is an increasing focus on the explicit development of spatial reasoning throughout the mathematics curriculum, such as geometry, as students' success in…

Computational thinking (CT) has acquired the status of a necessary 21st-century skill and is currently being introduced in school curricula around the world, despite a lack of consensus about what it entails. The aims of this review are to provide an overview of the existing literature on CT activities in primary mathematics education, and to…

In this article, we conduct a qualitative systematic review of studies examining the use of digital games to promote students' mathematical reasoning in primary and lower secondary schools. Digital games now have a prominent role in students' leisure time, as has mathematical reasoning in curricula around the world. This study investigates how the…

This design-based study addresses the issue of how to digitally support students' problem-solving by providing heuristics, in the absence of the teacher. The problem is that, so far, digital tutoring systems lack the ability to diagnose students' needs in open problem situations. Our approach is based on students' ability to self-diagnose and find…

We present here the lessons learned by iteratively designing a tutorial for first-year university students using computer programming to work with mathematical models. Alternating between design and implementation, we used video-taped task interviews and classroom observations to ensure that the design promoted student understanding. The final…

This article presents the theoretical considerations leading to the design and development of a digital experience for teaching linear equations using a modified balance model for equation solving. We modified the balance to alter physics behaviour in a virtual reality (VR) experience, to strengthen students' schemes for solving linear equations…