The topic of inequalities is one of the fundamental subject areas for the development of mathematical knowledge. Although there is a considerable body of research focused on one-variable inequalities, studies that investigate students' performance on two-variable inequalities are scarce. With this in mind, the aim of this study is twofold: first,…

"OpenEssayist" is an automated writing evaluation system (AWE) designed to provide immediate textual and graphical feedback to students to help them improve their academic writing. One of the graphical visualisations as part of "OpenEssayist," (named a 'rainbow diagram'), illustrates how well the key concepts within the writing…

This article presents the design and implementation of a study and research path for teacher education (SRP-TE) based on the Anthropological Theory of the Didactic. The goal is to analyze this teacher education proposal for inclusive statistics education aiming to overcome constraints derived from the phenomenon of the transparency of data…

The assessment of writing competency in French as a Foreign Language presents significant challenges due to the multidimensional nature of writing and heterogeneous evaluation practices. This research introduces an innovative framework integrating artificial intelligence and interactive visualization to support the formative assessment of writing…

The aim of this study was to improve pre-service teachers' ability to infer cross-sections of geometric solids with Wolfram demonstrations and Mathematica in Analytic Geometry II course. The study was conducted with third year students studying Elementary Mathematics Education. In this study, the pre-test--post-test control group design was used.…

Although dynamic geometry software has been extensively used for teaching calculus concepts, few studies have documented how these dynamic tools may be used for teaching the rigorous foundations of the calculus. In this paper, we describe lesson sequences utilizing dynamic tools for teaching the epsilon-delta definition of the limit and the…

This research aims to study the development of ninth grade students' reading and writing abilities and interests in learning English taught through computer-assisted instruction (CAI) based on the top-level structure (TLS) method. An experimental group time series design was used, and the data was analyzed by multivariate analysis of variance…

Trigonometry is an important section in mathematics that links algebraic, geometric and graphical reasoning. Many secondary school learners are not familiar with these types of reasoning; thus, trigonometry presents a challenge for these learners. The traditional 'chalk and talk' method of teaching trigonometry is used by many teachers; however,…

Information and communication technology (ICT) has become an inseparable part of schoolwork and a goal of education to prepare scientifically literate and digitally competent citizens. Yet the introduction of computers into school work has been much slower than its introduction in other spheres of life. Teachers' lack of knowledge/skills and…

In this article a continuous-time stochastic model (the Ornstein-Uhlenbeck process) is presented to model the perpetually altering states of the core affect, which is a 2-dimensional concept underlying all our affective experiences. The process model that we propose can account for the temporal changes in core affect on the latent level. The key…

One sign of a good task is that it will work just as well with Year 7 as with Year 13. The author asks learners to use graph-drawing software to draw a picture with graphs. He uses his imagination to suggest what a particular curve might resemble and helps learners to adjust their drawings to achieve what they are trying to make. Sometimes, one…

This article presents the characteristics of using a tangible table top environment produced by augmented reality (AR), aimed at improving the environment in which learners observe three-dimensional molecular structures. The authors perform two evaluation experiments. A performance test for a user interface demonstrates that learners with a…

The ability to visualize student engagement and experience data provides valuable opportunities for learning support and curriculum design. With the rise of the use of learning analytics to provide "actionable intelligence" on students' learning, the challenge is to create visualizations of the data, which are clear and useful to the…

This paper reports the case of a form six (grade 12) Hong Kong student's exploration of graph sketching in a computational environment. In particular, the student summarized his discovery in the form of two empirical laws. The student was interviewed and the interviewed data were used to map out a possible path of his visual reasoning. Critical…

Learner centred design methods highlight the importance of involving the stakeholders of the learning process (learners, teachers, educational researchers) at all stages of the design of educational applications and of refining the design through an iterative prototyping process. These methods have been used successfully when designing systems…