Visual representations and the process of visualisation have an important role in geometry learning. The optimal use of visual representations in complex multimedia environments has been an important research topic since the end of the last century. For the purpose of the study presented in this paper, we designed a model of learning geometry with…

Hardly any other topic is currently as much the focus of social and scientific interest as the use of digital media in educational contexts. In this project, we examine the user perspective. We will explore which findings can be generated from freely accessible user reviews within the app stores and on YouTube regarding users' personal…

This study examines the impact of integrating GeoGebra software into teaching circle properties at the high school level, comparing it with traditional methods. Conducted over 8 weeks with 112 students aged 15-18, it included an experimental group using GeoGebra (56 students) and a control group with classical teaching methods (56 students). The…

Large language models (LLMs) offer an opportunity to make large-scale changes to educational content that would otherwise be too costly to implement. The work here highlights how LLMs (in particular GPT-4) can be prompted to revise educational math content ready for large scale deployment in real-world learning environments. We tested the ability…

Investigating symmetric dot patterns provides opportunities for foundational mathematical learning that is not restricted to multiplication alone. Students have opportunities to learn about the properties of symmetry, about the generalization of patterns, about writing and interpreting equations--all areas of study in grades 3-5. And symmetric dot…

The paradigm shift from traditional didactic instruction to technology-enriched teaching and learning environments significantly benefits learners. Educational technology can visualize abstract mathematical concepts contextually and graphically and allow learners to actively construct this knowledge. This study aims to ascertain the efficacy of a…

This article describes Ulrich Kortenkamp's Place Value Chart app and the accompanying teacher guide developed by the members of an international research team led by regular contributor Kevin Larkin.

In this paper it is demonstrated how the free, and easily downloadable, software package called SMath Studio can be used to set up a model of alpha-particle scattering. The basic physics of the motion of an alpha-particle in the nuclear coulomb field is used to produce a simple stepwise computer algorithm which, in conjunction with a novel set of…

This is an exploratory study considering instructional methods in mathematics education. The study examined misconceptions arising from selected assignments undertaken by sixty-five students. The students were attending a calculus mathematical course unit on limits of functions, in different academic areas offered at selected tertiary institutions…

The study aims to investigate prospective middle school mathematics teachers' mental actions related to debugging, which is one of the computational thinking skills in the modeling process. The study was conducted with a single-case embedded model. The collaborative working group consisted of three prospective mathematics teachers selected by…

The Brain-Based Teaching Approach is a strategy that implements methods from a brain-based learning (BBL) model. This approach was designed to be compatible with the inclinations and optimal functions of the individual brain to ensure that students can learn effectively. The module uses the Brain-Based Teaching Approach integrated with GeoGebra…

In Iran and many other parts of the world, teaching and learning mathematics has confronted students and teachers with many challenges such as lack of motivation and increased anxiety. Thus, the current situation should be changed and shifted to active methods. One of the active methods is teaching with the help of multimedia. The purpose of this…

One-to-one online tutoring provided by human tutors can improve students' learning outcomes. However, monitoring the quality of such tutoring is a significant challenge. In this paper, we propose a learning analytics approach to monitoring online one-to-one tutoring quality. The approach analyzes teacher behaviours and classifies tutoring sessions…

To further enhance its usability and better serve teachers' needs a new connected classroom technology, called GeoGebra Classroom was developed. in this paper, we outline the results of the potential uses of GeoGebra Classroom in mathematics teaching and learning. in our Design Research study, we utilized the combination of educational research…

Purpose: The purpose of this study is to develop a game-based mobile application to help learners practice mathematical patterns and structures. Method: The study followed a mixed-method research design and prototyping methodology to guide the study in developing the mobile application. An instrument based on the Octalysis framework was developed…