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Seyum Getenet – International Electronic Journal of Mathematics Education, 2024

This study compared the problem-solving abilities of ChatGPT and 58 pre-service teachers (PSTs) in solving a mathematical word problem using various strategies. PSTs were asked to solve a problem individually. Data was collected from PSTs' submitted assignments, and their problem-solving strategies were analyzed. ChatGPT was also given the same…

Descriptors: Problem Solving, Ability, Preservice Teachers, Artificial Intelligence

Alev Gunes Uzun – International Electronic Journal of Mathematics Education, 2024

Mathematical reasoning has been a critical concern in Turkey especially since the structure of the student selection examination for high schools changed six years ago. The ability to solve the questions in the new exam requires high level reasoning and argumentation skills. Schools, whether they are public or private, prepare 8th graders for this…

Descriptors: Mathematics Instruction, Persuasive Discourse, Grade 8, Public Schools

Piña-Aguirre, José Gerardo; Farfán Márquez, Rosa María – International Electronic Journal of Mathematics Education, 2023

With the objective of identifying intrinsic forms of mathematical production in complex analysis (CA), this study presents an analysis of the mathematical activity of five original works that contributed to the development of Cauchy's integral theorem. The analysis of the mathematical activity was carried out through the identification of the…

Descriptors: Mathematics Education, Epistemology, Theories, Learning Processes

Segal, Ruti; Stupel, Moshe – International Electronic Journal of Mathematics Education, 2023

The benefits of technological and theoretical scaffolding were observed when pre-service teachers aiming to teach upper elementary grades were given three learning-based geometrical inquiry tasks involving inscribed circles. They were asked to collaboratively examine the accompanying geometrical illustration and data for some new or interesting…

Descriptors: Preservice Teachers, Mathematics Teachers, Mathematics Instruction, Mathematics Skills

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

Nava Guzmán, Cristian; García González, María Del Socorro; Aguilar, Mario Sánchez – International Electronic Journal of Mathematics Education, 2023

This research explores the link between achievement emotions and covariational reasoning, a type of mathematical reasoning involving two variables. The study employs a case study approach, focusing on a high school calculus student named Valeria, and develops a theoretical framework based on the control-value theory and levels of covariational…

Descriptors: Psychological Patterns, Mathematical Logic, Thinking Skills, High School Students

Winer, Michael L.; Battista, Michael T. – International Electronic Journal of Mathematics Education, 2022

Constructing formal geometry proofs in is an important topic in the mathematics curriculum. But students' difficulties with proof are well documented. This article focuses on proofs that use triangle congruence postulates in US high school geometry. Examining students' proof reasoning in one-on-one task-based interviews, we analyzed students' oral…

Descriptors: Geometry, Mathematics Instruction, Validity, Mathematical Logic

Araújo, Carlos Henrique Delmiro; Menezes, Daniel Brandão – International Electronic Journal of Mathematics Education, 2022

The Multimedia Research Laboratory, inserted in the Federal University of Ceará has the Multimedia Mathematics Education Group, in which they study the mathematics teaching with the methodological contribution of the Fedathi sequence (FS). In one of the study meetings, the members raised the issue of how a class in the light of the FS could be,…

Descriptors: Validity, Mathematical Logic, Mathematics Instruction, Multimedia Instruction

Conner, Kimberly A. – International Electronic Journal of Mathematics Education, 2022

The generality requirement, or the requirement that a proof must demonstrate a claim to be true for all cases within its domain, represents one of the most important, yet challenging aspects of proof for students to understand. This article presents a multi-faceted framework for identifying aspects of students' work that have the potential to…

Descriptors: Secondary School Students, Secondary School Mathematics, Mathematical Logic, Abstract Reasoning

Otten, Samuel; Wambua, Mitchelle M.; Govender, Rajendran – International Electronic Journal of Mathematics Education, 2021

Reasoning-and-proving is a crucial part of students' mathematical experiences in secondary school. There is scholarly debate, however, on the extent to which proving at the secondary level needs to be formal and whether all students should be held to disciplinary standards of rigor. In this study, we investigated the notion of "proof for…

Descriptors: Mathematics Instruction, Mathematics Teachers, Secondary School Teachers, Secondary School Mathematics

Connections between Empirical and Structural Reasoning in Technology-Aided Generalization Activities

Yao, Xiangquan; Elia, John – International Electronic Journal of Mathematics Education, 2021

Mathematical generalization can take on different forms and be built upon different types of reasoning. Having utilized data from a series of task-based interviews, this study examined connections between empirical and structural reasoning as preservice mathematics teachers solved problems designed to engage them in constructing and generalizing…

Descriptors: Mathematics Instruction, Generalization, Preservice Teachers, Mathematics Teachers

Can, Cihan; Clark, Kathleen Michelle – International Electronic Journal of Mathematics Education, 2020

For several decades, literature on the history and pedagogy of mathematics has described how history of mathematics is beneficial for the teaching and learning of mathematics. We investigated the influence of a history and philosophy of mathematics (HPhM) course on students' progress through the lens of various competencies in mathematics (e.g.,…

Descriptors: Mathematical Concepts, Concept Formation, College Mathematics, Mathematics Skills

Youkap, Patrick Tchonang; Ngansop, Judith Njomgang; Tieudjo, Daniel; Pedemonte, Bettina – International Electronic Journal of Mathematics Education, 2020

The purpose of this article is to better understand how proof is introduced into the study of quadrilaterals and triangles in high school. To do this, we designed a grid to analyse mathematics textbooks in Cameroon francophone subsystems (7th Grade and 8th Grade). The Anthropological Theory of Didactics and the paradigms in geometry served as a…

Descriptors: Mathematical Logic, Geometric Concepts, Secondary School Mathematics, Textbook Content

Burgos, María; Godino, Juan D. – International Electronic Journal of Mathematics Education, 2020

In this paper, we analyse the results of an experience designed and implemented to evaluate the epistemic and cognitive conflicts identified in the study of proportionality, carried out by a group of 21 students in their last year of primary education. Initially the students exhibit difficulties to recognize situations where proportionality can be…

Descriptors: Mathematical Concepts, Mathematics Education, Elementary School Mathematics, Elementary School Students

Shongwe, Benjamin – International Electronic Journal of Mathematics Education, 2020

Despite proof being fundamental to the mathematics discipline and its role as a means to convey mathematical content, little is known about the effect of resources on influencing students' proof construction ability. The purpose of this study was to compare two didactic environments, one regarded as resourced (favored) and the other…

Descriptors: Grade 11, Secondary School Mathematics, Mathematical Logic, Validity

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