This study explores the effects of a computer algebra system on students' mathematical thinking. Mathematical thinking is identified with mathematical thinking powers and structures. We define mathematical thinking as students' capacity to specialize and generalize their previous knowledge to solve new mathematical problems. The study was…

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…

Metacognitive strategies play a crucial role in Computer-Based Learning Environments (CBLEs). However, students often struggle to apply these strategies spontaneously during learning. Research demonstrates that metacognitive prompts can effectively guide students' awareness and help them monitor their learning progress, leading to improved…

The construct of Computational Thinking (CT) first emerged to describe problem solving in the context of computing environments, but it has expanded to serve as a set of practices that can be applied across disciplines with or without the use of computers. We recorded students' work during two lab sessions in an undergraduate, biology-engineering…

A worked-out or an open inventing problem with contrasting cases can prepare learners for learning from subsequent instruction differently regarding motivation and cognition. In addition, such activities potentially initiate different learning processes during the subsequent ("future") learning phase. In this experiment (N = 45…

The author focused on solving problems of third-degree price discrimination under a monopoly by integrating microeconomic theory and spreadsheet modeling. Price discrimination refers to a firm situation in which the same good is sold to different groups of consumers at different prices. First, the author included an introductory math background…

Solving real-life problems through mathematical modeling is one of the aims of modern mathematics curricula. For this reason, prospective mathematics teachers need to acquire modeling skills and use these skills in learning environments in terms of creating rich learning environments. With this study, it is aimed to examine the reflections of…

In this paper the authors described the influence of the computer-based environment on students' learning achievement of the multidimensional calculus, in particular double integrals. The research was conducted with the second year students at the University of Kragujevac, Serbia, with two groups of students: the experimental and the control one.…

This paper presents research into closed orbits parallel to quadrilaterals inscribed in various geometric shapes that can be represented by mathematical functions: straight lines, circles, ellipses, parabolas, and hyperbolas. Mathematical proofs have been given for the existence of an infinite number of parallel orbits for each of these shapes.…

First-year elementary pre-service teachers usually conduct field observations but are barely offered opportunities to engage in well-structured teaching situations. In the current study, we implemented mixed-reality simulations (MRS) in a mathematics methods course to improve elementary pre-service teacher's abilities to elicit, question, and…

These proceedings contain the papers of the 21st International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2024), held in Zagreb, Croatia, from 26 to 28 October 2024 and organized by the International Association for Development of the Information Society (IADIS). The CELDA conference aims to address the main issues…

Computer-Based Problem Solving is a combination of problem-based learning and computer-assisted learning. The method facilitates students to use computer programs as cognitive tools to solve problems. The purpose of this study is to determine the effect of Computer Based Problem Solving on High Level Thinking Skills (HOTS) of prospective teachers.…

In the resolution of problems in chemical kinetics and catalysis the mathematical models relate the independent variable that is usually time, with the dependent variable which is normally the concentration of a reactant. They conform to linear models, whose parameters such as the ordering to origin and the slope are kinetic parameters, applying…

Self-assessment, in the education framework, is a methodology that motivates students to play an active role in reviewing their performance. It is defined as "the evaluation or judgment of 'the worth' of one's performance and the identification of one's strengths and weaknesses with a view to improving one's learning outcomes". The goal…

Learning a foreign language requires interaction with language input while involved in a task. Given that problem-based learning (PBL) offers hands-on application in realistic contexts, and that virtual reality (VR) enables learners to interact with multiple modalities of information, this study examines how the integration of VR technology into…