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Lathiful Anwar; Angeliki Mali; Martin Goedhart – International Journal of Mathematical Education in Science and Technology, 2024
Conjecturing has been considered to inspire the need for proof, enhance the understanding of proofs, and construct a valid proof. This study describes students' processes of formulating a Euclidean geometry conjecture in the form of a conditional statement through constructing a geometric figure and using measuring and dragging modalities of a…
Descriptors: Geometry, Mathematics Instruction, Validity, Mathematical Logic
González, María Alejandra Calderón; Armella, Luis Enrique Moreno – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
From mathematics education, a great variety of studies have focused on analyzing the presence of digital technology from different points of view. Those who work with proof and argumentation have resisted presenting results with a technological component, due to the idea of formality associated with those terms, which has increased the existing…
Descriptors: Geometry, Validity, Mathematics Instruction, Computer Software
Creager, Mark A. – International Journal of Education in Mathematics, Science and Technology, 2022
Increasing students' exposure to mathematical reasoning (Lannin, Ellis, & Elliot, 2011) has been a constant call from mathematics education reform efforts. However, studies have raised concerns about whether teachers are prepared to teach reasoning. This paper explores one aspect of reasoning, refutations, by examining the geometric…
Descriptors: Secondary School Teachers, Mathematics Instruction, Mathematics Teachers, Geometry
Öztürk, Tugba; Güven, Bülent – LUMAT: International Journal on Math, Science and Technology Education, 2022
Proof is foundational to mathematics, and constructing proofs and establishing their validity are both important mathematical studies. Determining the validity of a proof is a part of the process of proof evaluation. Proof evaluation contributes to students' ability to construct and revise their own proofs. The purpose of this study was to…
Descriptors: Preservice Teachers, Mathematics Teachers, Validity, Mathematical Logic
Conner, Kimberly A.; Krejci, Brooke – Investigations in Mathematics Learning, 2022
We examined high school geometry students' written work on four proof tasks where they posed a conjecture, drafted an argument, provided written critiques, then revised their argument based on peer feedback. Students' written work across the tasks was analyzed to determine whether the instructional sequence supported them in improving their…
Descriptors: Teaching Methods, Geometry, Mathematics Instruction, Validity
Meadows, Michelle; Caniglia, Joanne – International Journal of Education in Mathematics, Science and Technology, 2021
Pre-service mathematics teacher (PST) education often addresses within Geometry Classes how to utilize Dynamic Geometric Software (DGS). Other classes may also incorporate teaching pre-service teachers about the history of mathematics. Although research has documented the use of Dynamic Geometric Software (DGS) in teaching the history of…
Descriptors: Computer Software, Teaching Methods, Preservice Teacher Education, Mathematics Teachers
Pittalis, Marios; Pitta-Pantazi, Demetra; Christou, Constantinos – Journal for Research in Mathematics Education, 2020
A theoretical model describing young students' (Grades 1-3) functional-thinking modes was formulated and validated empirically (n = 345), hypothesizing that young students' functional-thinking modes consist of recursive patterning, covariational thinking, correspondence-particular, and correspondence-general factors. Data analysis suggested that…
Descriptors: Elementary School Students, Thinking Skills, Task Analysis, Profiles
Ilhan, Aziz; Tutak, Tayfun – International Electronic Journal of Mathematics Education, 2021
The aim of this study is to develop a valid and reliable measurement tool that measures mathematical visualization perceptions for mathematics teacher candidates. Therefore, the type of study is a survey research. Research was carried out with 462 (336 Female, 125 Male) mathematics teacher candidates from a university located in the Eastern…
Descriptors: Teaching Methods, Mathematics Instruction, Mathematics Teachers, Preservice Teachers
Baidoo, Stephen Rowland; Reaburn, Robyn; Oates, Greg – Mathematics Education Research Group of Australasia, 2022
This study reports on the development, validation, and reliability of a geometry disposition scale (GDS) to measure pre-service teachers' (PSTs') attitudes to geometry learning. PSTs from two Colleges of Education (CoEs) in Ghana volunteered to participate in the study (N = 153). A principal component analysis (PCA) extracted four factors: deep…
Descriptors: Preservice Teachers, Student Attitudes, Geometry, Teaching Methods
Bozkurt, Gulay; Uygan, Candas – International Journal for Technology in Mathematics Education, 2021
This paper focuses on pre-service mathematics teachers' geometrical construction processes while using a duo of artefacts, namely the paper-and-pencil environment (PPE) and a dynamic geometry system (DGS). The participants of this case study were two pre-service mathematics teachers, who had limited DGS experiences in solving geometry tasks. The…
Descriptors: Preservice Teachers, Teacher Education Programs, Geometry, Mathematics Instruction
Zengin, Yilmaz – International Journal of Mathematical Education in Science and Technology, 2018
The purpose of this study was to investigate pre-service teachers' views about the history of mathematics course in which GeoGebra was used. The qualitative research design was used in this study. The participants of the study consisted of 23 pre-service mathematics teachers studying at a state university in Turkey. An open-ended questionnaire was…
Descriptors: Mathematics Instruction, Computer Software, Mathematical Concepts, Mathematical Logic
Aksu, Hasan Huseyin; Goksu, Murat – Educational Research and Reviews, 2020
The aim of this study is to observe the effect of Education and Informatics Net (EIN) supported math teaching on students' success in geometry teaching 5th grade level and to observe students' comments on EIN. This study was conducted in the 2nd term of 2018-2019 school year. Both qualitative and quantitative research methods were implemented.…
Descriptors: Geometry, Mathematics Instruction, Teaching Methods, Achievement Tests
An, Tuyin; Nguyen, Ha – Proceedings of the Interdisciplinary STEM Teaching and Learning Conference, 2018
In a study about pre-service secondary mathematics teachers' (PSMTs) understanding about the nature of theorems in geometry, the researcher noticed that it was challenging for the PSMTs to visualize and draw counterexamples to disprove the given mathematical statements. Meanwhile, the use of the dragging feature of dynamic geometry environments…
Descriptors: Educational Technology, Technology Uses in Education, Geometry, Mathematics Instruction
Kmetová, Mária; Vagová, Renáta; Kmet, Tibor – International Journal for Technology in Mathematics Education, 2019
Dynamic geometry environment allows us to investigate geometric relationships and problems more efficiently than the pencil-and-paper method. Continuous variation of geometric configurations shows the relationship from different points of view. This paper aims to provide some indications of how a dynamic geometry environment, especially GeoGebra…
Descriptors: Geometry, Mathematics Instruction, Teaching Methods, Computer Software
Morselli, Francesca; Levenson, Esther – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
This paper presents first results from a research project aimed at combining two theoretical frameworks, one concerning explanations and one related to rationality. The two theoretical lenses are used to understand one episode from a teaching experiment carried out in grade seven, concerning the construction of rectangles with a given perimeter.…
Descriptors: Guidelines, Mathematics Instruction, Teaching Methods, Grade 7
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