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Antonio González; Víctor Manero; Alberto Arnal-Bailera; María Luz Puertas – International Journal of Mathematical Education in Science and Technology, 2024
This work is devoted to exploring proof abilities in Graph Theory of undergraduate students of the Degree in Computer Engineering and Technology of the University of Seville. To do this, we have designed a questionnaire consisting of five open-ended items that serve as instrument to collect data concerning their proof skills when dealing with…
Descriptors: Undergraduate Students, Graphs, Validity, Mathematical Logic
Mine Isiksal Bostan; Serife Sevinç; Magdalini Lada; Zbynek Kubácek – International Electronic Journal of Mathematics Education, 2025
In this cross-national study, we explore the different ways of reasoning-and-proving (RP) presented in three 8th grade textbooks, one from each country: Turkey, Norway, and Slovakia. While the analysis revealed that all three textbooks contain similar numbers of problems involving some form of RP, differences exist in terms of the dominating ways…
Descriptors: Textbooks, Textbook Content, Grade 8, Mathematics Instruction
Andreas Bergwall – International Journal of Mathematical Education in Science and Technology, 2025
Students' difficulties with proofs are well documented. To remedy this, it is often recommended that reasoning and proving be focused on in all grades and content areas of school mathematics. However, proofs continue to have a marginal place in many classrooms, or are only given explicit attention in courses in Euclidean geometry. Geometry is also…
Descriptors: Mathematics Instruction, Mathematical Logic, Validity, Geometry
Ahmad Khalid Mowahed; Jawed Ahmad Mayar – Mathematics Teaching Research Journal, 2023
In this study, we aimed to find problematic and supportive issues in Afghan undergraduate students' proofs of the irrationality of [square root]3 and [square root]5/8 while using the indirect proof method. Collecting and analyzing produced proofs of 30 sophomore and 48 senior undergraduate students on the irrationality of [square root]3 and…
Descriptors: Foreign Countries, Undergraduate Students, Mathematical Logic, Validity
Shongwe, Benjamin; Mudaly, Vimolan – Journal of Research and Advances in Mathematics Education, 2021
It is widely recognized that students encounter difficulties with proof across all grades and beyond, yet standardized instruments related specifically to students' perceived self-efficacy for mathematical proof have not been readily available. The purpose of this study was to develop and investigate preliminary validity evidence for a new…
Descriptors: Measures (Individuals), Test Construction, Self Efficacy, Test Validity
Demiray, Esra; Isiksal-Bostan, Mine; Saygi, Elif – International Electronic Journal of Mathematics Education, 2023
This study aims to examine how being involved in an argumentation process relates to the formal proof process in geometry. Prospective mathematics teachers were involved in an argumentation process while producing conjectures before engaging in formal proof of the recently produced conjectures. To collect data, four geometry-proof tasks that…
Descriptors: Persuasive Discourse, Validity, Mathematical Logic, Geometry
Hamdani, Deni; Purwanto; Sukoriyanto; Anwar, Lathiful – Journal on Mathematics Education, 2023
Failure to deduce false suppositions in proof by contradiction is still considered "more difficult" than proving the conditional ?? to ?? in proof by contraposition. This study aims to identify the types of proof construction failures based on the action steps of proof by contradiction, then offer a framework of construction failure…
Descriptors: Validity, Mathematical Logic, Mathematics Instruction, Guidelines
Sugi Hartono; Tatag Yuli Eko Siswono; Rooselyna Ekawati – Mathematics Teaching Research Journal, 2024
This is a preliminary study of design research that investigates preservice mathematics teachers' proof level and the possible task of scaffolding-based interventions in proving the triangle theorem. The research subjects consisted of 58 second-semester mathematics education students at Universitas Negeri Surabaya, Indonesia. This research is…
Descriptors: Foreign Countries, Preservice Teachers, Mathematics Teachers, Validity
Aschale Moges Belay; France Machaba; Tšhegofatšo Phuti Makgakga – Research in Social Sciences and Technology, 2024
This research article is about "Introducing a Supportive Framework to Address Students' Misconceptions and Difficulties in Learning Mathematical proof techniques (MPT): A Case of Debark University". This study aims to develop, introduce, and implement a supportive framework to overcome students' misconceptions and difficulties in MPT.…
Descriptors: Foreign Countries, Mathematics Instruction, Mathematical Logic, Validity
Kristin Krogh Arnesen; Anita Valenta – International Journal of Mathematical Education in Science and Technology, 2025
We suggest that writing lesson plays can be a valuable approach in learning to teach proving in teacher education. A lesson play is an imagined discussion between a teacher and some students about a particular mathematical content, written verbatim. In this paper, we investigate novice teachers' opportunities to work on teaching practices related…
Descriptors: Preservice Teacher Education, Discussion (Teaching Technique), Mathematics Instruction, Validity
Sigrid Iversen Klock – International Journal of Mathematical Education in Science and Technology, 2025
This article addresses argumentation in middle-school students' group work with conjectures in arithmetic with different epistemic states. Twenty-five episodes were analysed using G. J. Stylianides' framework for reasoning and proving, which comprised a mathematical, psychological, and pedagogical component. The mathematical component was studied…
Descriptors: Middle School Students, Persuasive Discourse, Mathematics Education, Arithmetic
Duygu Dinamit; Serhan Ulusan – Acta Didactica Napocensia, 2023
The "proving process" was considered as the stages that should be exist in a proof and in this study, it was aimed to investigate the mathematical proving processes and opinions about proof of gifted students. Case study, one of the qualitative research methods, was used in the study. The research was carried out with the students…
Descriptors: Academically Gifted, Mathematical Logic, Validity, Mathematics Instruction
Putra, Zetra Hainul; Afrillia, Yesi Martha; Dahnilsyah; Tjoe, Hartono – Journal on Mathematics Education, 2023
Mathematical proofs play a paramount role in developing 21st-century skills, and the use of technology in mathematics learning has widely paved the way in the instruction of mathematical proofs. In mathematics education, GeoGebra has a significant role as a dynamic mathematics software in supporting students' learning process. This study aims to…
Descriptors: Preservice Teachers, Elementary School Teachers, Mathematical Logic, Validity
Warli; Puji Rahayu; Imas Cintamulya – Mathematics Teaching Research Journal, 2025
This study aimed to describe students' ability to arrange proof of abstract algebra problems (Subgroups) after receiving Information Technology (IT)-assisted scaffolding materials. To achieve this objective, we conducted exploratory qualitative research with students of Mathematics Education, Universitas PGRI Ronggolawe Tuban, participating in the…
Descriptors: Mathematics, Algebra, Validity, Mathematical Logic
Demircioglu, Handan; Hatip, Kudret – International Journal of Curriculum and Instruction, 2023
The aim of this study is to examine 8th grade students' Van Hiele geometry thinking levels, proof writing and justification skills. The research was carried out with sixteen eighth grade students of a private school in Sivas. Participants were selected based on an easily accessible sample. The data were collected from the students who participated…
Descriptors: Foreign Countries, Geometry, Grade 8, Mathematical Logic