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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
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
María J. Beltrán-Meneu; Rafael Ramírez-Uclés; Juan M. Ribera-Puchades; Angel Gutiérrez; Adela Jaime – Mathematics Teaching Research Journal, 2024
We present a case study of proving by three 12-13-year-old students with different levels of mathematical giftedness. After analysing students' proofs, we conclude that: there was a relation on the consistency and the students' levels of mathematically giftedness, being the least consistent the student not mathematically gifted and the most…
Descriptors: Academically Gifted, Early Adolescents, Mathematics Skills, Mathematics Instruction
Per Haavold; Jan Roksvold; Bharath Sriraman – Investigations in Mathematics Learning, 2024
Teachers have difficulty integrating proof in their mathematics instruction due to both narrow beliefs about proofs and limited understanding of proofs. Indirect proofs seem to be a particular cause for concern. In this exploratory study, we contribute to the research area by reporting on an empirical study of Norwegian pre-service teachers'…
Descriptors: Preservice Teachers, Student Attitudes, Teacher Education Programs, Validity
Sevgi, Sevim; Orman, Feyzullah – International Journal of Mathematical Education in Science and Technology, 2022
In this paper, Harel and Sowder's proof schemes of taxonomy were applied for identifying eighth grade students' learning of proof and proofing. This study aimed to examine what kind of proof schemes are used in geometry and measurement learning areas and student's skills in giving proof and their opinions about proof. Qualitative methods were…
Descriptors: Grade 8, Validity, Mathematical Logic, Geometry
Cihan, Fikret; Akkoç, Hatice – Mathematics Teaching Research Journal, 2023
This study aims to examine the effects of a course module aimed at improving pre-service mathematics teachers' (PMTs) proof schemes. This study used designed-based research. Participants of the course were 22 PMTs in a teacher preparation program. We obtained data from two surveys, one of which consists of proof questions. The other requires…
Descriptors: Preservice Teachers, Mathematics Teachers, Mathematics Skills, Validity
Bal-Sezerel, Bilge; Sak, Ugur – Turkish Journal of Education, 2022
This study presents the development of a mathematical creativity test and exploration of its psychometric properties. The study was conducted in six public schools and a high ability center between 2015 and 2018. The sample of the study included 1129 middle school students. The Mathematical Creativity Test (MCT) consists of problem posing, making…
Descriptors: Creativity, Mathematics Education, Test Construction, Middle School Students
Shongwe, Benjamin – Educational Studies in Mathematics, 2021
Learners' difficulties with proof have been ascribed to their lack of understanding of functions that proof performs in mathematics, namely, verification, explanation, communication, discovery, and systematization. However, the extant mathematics education literature on validation of instruments designed to measure learners' beliefs about the…
Descriptors: Student Attitudes, Beliefs, Mathematical Logic, Likert Scales
Thoma, Athina; Iannone, Paola – International Journal of Research in Undergraduate Mathematics Education, 2022
This exploratory study reports on characteristics of proof production and proof writing observed in the work of first-year university students who took part in workshops on the theorem prover LEAN (https://leanprover.github.io). These workshops were voluntary and offered alongside a transition to proof module in a UK university. Through…
Descriptors: Validity, Mathematical Logic, Mathematics Instruction, Undergraduate Students
Özaydin, Zeynep; Arslan, Çigdem – Journal of Theoretical Educational Science, 2022
The aim of this study is to develop a rubric to assess mathematical reasoning competence. Since the aim is to assess a competency, the frameworks of the PISA exams in the literature, which give an important place to competencies, have been examined. Due to its focus and in-depth analysis of mathematical reasoning, each of the actions expected from…
Descriptors: Foreign Countries, Scoring Rubrics, Mathematical Logic, Competence
Conner, AnnaMarie; Singletary, Laura Marie – Journal for Research in Mathematics Education, 2021
Supporting students in making mathematical arguments is an important part of discourse practices in mathematics classrooms. Differences in teachers' support for collective argumentation have been observed and documented, and the importance of the teacher's role in supporting collective argumentation is well established. This article seeks to…
Descriptors: Persuasive Discourse, Mathematical Logic, Mathematics Education, Teacher Role
Kalayci, Özlem; Gün, Özge – International Journal for Mathematics Teaching and Learning, 2022
There exist many studies on modeling competencies and their promotion; however, there is a need to investigate what modeling competencies are and how they vary in lower and higher-achieving groups of students in mathematics within the current modeling literature domain. This study examined how mathematical modeling competencies were displayed in…
Descriptors: Grade 7, Mathematics Education, Foreign Countries, Mathematical Models
Anwar, Lathiful; Mali, Angeliki; Goedhart, Martin J. – EURASIA Journal of Mathematics, Science and Technology Education, 2021
This study aims to investigate the effects of the use of multiple geometry proof formats on Indonesian students' reading comprehension of geometry proof (RCGP). Four classes of prospective secondary mathematics teachers (N=125), aged 18 to 19 years, participated in this quasi-experimental study. While the experimental group was instructed in three…
Descriptors: Reading Comprehension, Preservice Teachers, Mathematics Teachers, Mathematics Instruction
Generalizing and Proving in an Elementary Mathematics Teacher Education Program: Moving beyond Logic
Weinberg, Paul – EURASIA Journal of Mathematics, Science and Technology Education, 2019
Generalization and proof are a foundation of mathematical practice and as such should be integral to K-12 mathematics instruction. However, if generalizing and proving are to become popular within K-12 mathematics classrooms, we must consider how to effectively enlist pre-service teachers (PSTs) into supporting these activities in their…
Descriptors: Generalization, Mathematics Education, Teacher Education Programs, Teaching Methods
Schoen, Robert C.; LaVenia, Mark; Champagne, Zachary M.; Farina, Kristy; Tazaz, Amanda M. – Grantee Submission, 2017
The following report describes an assessment instrument called the Mathematics Performance and Cognition (MPAC) interview. The MPAC interview was designed to measure two outcomes of interest. It was designed to measure first and second graders' mathematics achievement in number, operations, and equality, and it was also designed to gather…
Descriptors: Interviews, Test Construction, Psychometrics, Elementary School Mathematics
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