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Showing 1 to 15 of 74 results Save | Export
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Anne-Cécile Mathé; Joris Mithalal – Educational Studies in Mathematics, 2025
Transitioning from material to theoretical geometry is often considered a significant challenge in compulsory education. Over the last twenty years, research rooted in the Theory of Didactical Situations (TDS) has explored how material geometry can support the teaching and learning of theoretical geometry, promoting continuity in teaching. These…
Descriptors: Mathematics Education, Geometric Concepts, Geometry, Mathematics Instruction
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Lukáš Vízek; Libuše Samková; Jon R. Star – Educational Studies in Mathematics, 2024
In this contribution, we address the gap that has appeared in mathematics education research and practice with the emergence of dynamic geometry environments and build on the opportunities these environments offer to school geometry. In our qualitative empirical study, we investigate how to elaborate on the general model of conceptual knowledge to…
Descriptors: Knowledge Level, Concept Formation, Evaluation, Mathematics
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Margherita Piroi – Educational Studies in Mathematics, 2025
This study aims at elaborating a well-established theoretical framework that distinguishes three modes of thinking in linear algebra: the analytic-arithmetic, the synthetic-geometric, and the analytic-structural mode. It describes and analyzes the bundle of signs produced by an engineering student during an interview, where she was asked to recall…
Descriptors: Undergraduate Students, Engineering Education, Case Studies, Algebra
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Kemp, Aubrey; Vidakovic, Draga – Educational Studies in Mathematics, 2023
Action-Process-Object-Schema (APOS) theory and the triad of schema development are used as the framework in this study to investigate students' understanding of the concept of "circle." In this report, results are presented from the data analysis of responses to questions in semi-structured interviews of 15 students enrolled in a college…
Descriptors: Mathematics Instruction, Geometric Concepts, Geometry, College Students
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Pittalis, Marios; Drijvers, Paul – Educational Studies in Mathematics, 2023
Digital technologies for mathematics education are continuously developing. Still, much remains unknown about how students use these tools and how this affects learning. For example, tablets nowadays come with multi-touch options that allow for a more embodied approach to geometry education, compared to mouse interactions. However, little is known…
Descriptors: Mathematics Instruction, Educational Technology, Geometric Concepts, Geometry
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Kuzniak, Alain; Nechache, Assia – Educational Studies in Mathematics, 2021
In this paper, we identify various forms of geometric work carried out by student teachers who were asked to perform a geometric task for the estimation of a land area. The theory of Mathematical Working Spaces is used to analyze and characterize the work produced. This study provides evidence that students developed forms of geometric work that…
Descriptors: Preservice Teachers, Geometric Concepts, Geometry, Mathematics Instruction
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Herbst, Patricio; Shultz, Mollee; Bardelli, Emanuele; Boileau, Nicolas; Milewski, Amanda – Educational Studies in Mathematics, 2022
The investigation at scale of the tensions that teachers need to manage when deciding to follow recommendations for practice has been hampered by the problem of occurrence: The conditions in which those decisions could be made need to occur during an observation in order for observers to document how teachers handle them. Simulations have been…
Descriptors: Mathematics Instruction, Teaching Methods, Simulation, Mathematics Teachers
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Nagar, Gili Gal; Hegedus, Stephen; Orrill, Chandra Hawley – Educational Studies in Mathematics, 2022
Variance and invariance are two powerful mathematical ideas to support geometrical and spatial thinking, yet there is limited research about teachers' knowledge of variance and invariance. In this paper, we examined how high school teachers deal with the task of looking for invariant properties in a dynamic geometry environment (DGE) setting.…
Descriptors: High School Teachers, Mathematics Teachers, Teacher Attitudes, Geometry
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Mithalal, Joris; Balacheff, Nicolas – Educational Studies in Mathematics, 2019
In this article, we examine how it is possible, in the teaching and learning of geometry, to bridge the gap between problems involving drawings and figures, which is essential to the learning of mathematical proof. More precisely, the way students' drawing perception has to evolve, from Iconic Visualization to Non-Iconic Visualization (Duval,…
Descriptors: Geometry, Geometric Concepts, Mathematics Instruction, Mathematical Logic
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Popper, Porat; Yerushalmy, Michal – Educational Studies in Mathematics, 2022
We used an assessment platform to study the potential of rich student data obtained online to influence classroom instruction and help teachers respond to students' needs. The article focuses on technology-based formative assessment in the course of teaching a unit on quadrilaterals. We studied example-eliciting tasks, requiring students to…
Descriptors: Mathematics Instruction, Geometry, Teaching Methods, Feedback (Response)
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de Vittori, Thomas – Educational Studies in Mathematics, 2018
Part of the international reflection on the use of history in mathematics teaching consists in a quest of frameworks and models suitable for empirical studies. Following this demand, this paper explores the way Balacheff's cK? model, a model taken from the didactics of mathematics, can be used in the analysis of learning at student level. In the…
Descriptors: History, Mathematics Instruction, Models, Geometry
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Schindler, Maike; Lilienthal, Achim J. – Educational Studies in Mathematics, 2019
Eye tracking is getting increasingly popular in mathematics education research. Studies predominantly rely on the so-called eye-mind hypothesis (EMH), which posits that what persons fixate on closely relates to what they process. Given that the EMH was developed in reading research, we see the risk that implicit assumptions are tacitly adopted in…
Descriptors: Eye Movements, Mathematics Instruction, Geometry, Recall (Psychology)
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Götz, Daniela; Gasteiger, Hedwig – Educational Studies in Mathematics, 2022
Students' issues dealing with reflection tasks, especially with inclined mirror lines, are widely known. Previous research conducted with primary school students mainly focussed on task difficulty and students' outcomes, especially their errors of reflection. Little is known about which not obviously sustainable understanding of reflection leads…
Descriptors: Elementary School Students, Error Patterns, Foreign Countries, Task Analysis
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Zengin, Yilmaz – Educational Studies in Mathematics, 2018
The purpose of this study was to explore how university students construct the relationship between the concepts of differential and derivative with the integration of GeoGebra and the ACODESA method. The participants in this study were 33 pre-service mathematics teachers. An open-ended questionnaire, knowledge test, tasks, and participants'…
Descriptors: Mathematics Instruction, Mathematical Concepts, Correlation, Preservice Teachers
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Dimmel, Justin K.; Herbst, Patricio G. – Educational Studies in Mathematics, 2020
We investigated how US secondary mathematics teachers expect students to present geometric proofs at the board. We analyzed video records of geometry classrooms and found students to be engaged in a practice that we call proof transcription--i.e., mark-for-mark reproductions of previously completed proofs that were not reasoned reconstructions of…
Descriptors: High School Students, Mathematical Logic, Validity, Teaching Methods
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