The purpose of this study was to explore how elementary preservice teachers (PSTs) responded to students' hypothetical misconceptions about volume measurement. We carried out both pre-assessments and follow-up interviews with 17 PSTs, with tasks focused on both volume content knowledge and hypothetical student responses to volume tasks.…

The aim of this study is to examine pre-service mathematics teachers' views on reasoning, importance of reasoning in geometry and development of reasoning skills. The study was designed in the phenomenological (phenomenological) design, one of the qualitative research methods. The study group of the study was conducted on 61 pre-service teachers…

The paper is the result of extensive research carried out among Czech students and focuses on a conception of infinity. The questionnaire survey was taken by 861 students ranging from grades 7 to 13. The aim of the research was to describe the development of students' conceptions of infinity. These conceptions are built on the intuitive phenomenon…

This study addresses high school students' conceptions of mathematical definitions of congruent and similar triangles. The findings indicate that many of the participants differentiated between definitions and theorems and did not always accept the congruent and similar triangles theorems as formal definitions of congruency and similarity. Based…

In this article, researchers conducted a study that integrates Augmented Reality application with Computational Thinking into Geometry Topics. Three variables were measured, Computational Thinking, Visualisation Skills and Geometry Topic achievement. The study was implemented with 124 students in two different schools using quasi-experimental…

A qualitative research design comprising of open-ended questionnaires and focus group discussions was used to investigate learner-related variables that impede the integration of ethnomathematics approaches into the teaching and learning of geometry. Proportional stratified sampling and recruitment based sampling were used to select the 40…

In this study, we explore automated reasoning tools (ART) in geometry education and we argue that these tools are part of a wider, nascent ecosystem for computer-supported geometric reasoning. To provide some context, we set out to summarize the capabilities of ART in GeoGebra (GGb), and we discuss the first research proposals of its use in the…

This study aims to determine the proof schemes used by primary education teacher candidates when solving a given problem and in their instructional explanations. Having a qualitative nature, the study utilized data collected from 277 third-year teacher candidates studying at the primary education department of the education faculty of a state…

Task-relevant actions can facilitate mathematical thinking, even for complex topics, such as mathematical proof. We investigated whether such cognitive benefits also occur for action predictions. The action-cognition transduction (ACT) model posits a reciprocal relationship between movements and reasoning. Movements--imagined as well as real ones…

This study compared shifts in learners' attitudes under two instructional strategies: technology-enhanced Van Hiele phased instruction (TVHPI) and conventional Van Hiele phased instruction (CVHPI). A quasi-experimental design was used with 245 learners in the CVHPI group and 238 learners in the TVHPI group. Owing to non-normal data distribution,…

The purpose of this study is to develop an Android-based augmented reality learning media using Unity software to improve students' creative thinking skills in polyhedral ethno-geometry materials. The development of augmented reality learning media follows the ADDIE development model, which consists of five phases: analysis, design, development,…

For both first-year teachers and veterans, closing a lesson and assessing whether students met learning goals is a persistent challenge. This article explores how teachers using demanding, discourse-rich tasks can make informed decisions about when to move on in a lesson. Specifically, the author considers a "launch-explore-share and…

The present paper describes a dynamic investigation of polygons obtained by reflecting an arbitrary point located inside or outside a given polygon through the midpoints of its sides. The activity was based on hypothesizing on the shape of the reflection polygon that would be obtained, testing the hypotheses using dynamic software, and finding a…

Teachers use a Learning Module to create their learning designs, emphasizing the activities they select with knowledge-based processes. This paper aims to develop a TPACK-based teacher's module that provides detailed instruction in the planning for the teaching-learning process, giving more focus on the teacher's ability to maneuver, navigate, and…

Metacognition, or the ability to think about thinking, is essential in the development of geometric thinking. However, studies on the Van Hiele model and the application of metacognition on geometric thinking are still under-researched. This study aimed to provide a review of the Van Hiele model and the application of metacognition on geometric…