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Armando Morales-Carballo; Miguel Díaz Cárdenas; Angie Damián Mojica – International Electronic Journal of Mathematics Education, 2024

This article presents a theoretical-didactic perspective on the formation and development of concepts concerning mathematical objects as a result of research on didactic difficulties in dealing with concepts in school. The theoretical foundation that supports the research is based on the contributions of the materialist approach to the theory of…

Descriptors: Mathematical Concepts, Concept Formation, Mathematics Instruction, Geometry

Anela Hrnjicic; Adis Alihodžic – International Electronic Journal of Mathematics Education, 2024

Understanding the concepts related to real function is essential in learning mathematics. To determine how students understand these concepts, it is necessary to have an appropriate measurement tool. In this paper, we have created a web application using 32 items from conceptual understanding of real functions (CURF) item bank. We conducted a…

Descriptors: Mathematical Concepts, College Freshmen, Foreign Countries, Computer Assisted Testing

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

Díaz-Chang, Tamara; Arredondo, Elizabeth-H. – International Electronic Journal of Mathematics Education, 2023

In this article we address the historical and epistemological study of infinity as a mathematical concept, focusing on identifying difficulties, counter-intuitive ideas and paradoxes that constituted implicit, unconscious models faced by mathematicians at different times in history, representing obstacles in the rigorous formalization process of…

Descriptors: Epistemology, Mathematical Concepts, Mathematical Models, Ethnography

Melike Yigit Koyunkaya; Burcak Boz-Yaman – International Electronic Journal of Mathematics Education, 2023

This study aims to examine the changes in students' mental constructions of function transformation based on the designed activities, classroom discussions, exercises (ACE) teaching cycle in the light of the action, process, object, schema (APOS) theoretical framework. The study was conducted by seven volunteer students who were enrolled in…

Descriptors: Foreign Countries, Mathematics Education, Mathematical Concepts, Learning Processes

Irene Mauricio Cazorla; Miriam Cardoso Utsumi; Sandra Maria Magina – International Electronic Journal of Mathematics Education, 2023

This article aims to present a first approximation of the conceptual field of measures of central tendency (MCT), grounded in the theory of conceptual fields. We propose six situations according to type of variable, data presentation (raw or grouped) and amount of data. We revisit specific situations for the mean and exemplify several…

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

Hartman, JudithAnn R.; Hart, Sarah; Nelson, Eric Alan; Kirschner, Paul A. – International Electronic Journal of Mathematics Education, 2023

To learn mathematics, historically students had no choice but to memorize fundamental facts and apply memorized algorithms. Since 1995 in the US, all states have adopted standards to govern K-12 mathematics instruction, and in most, standards have de-emphasized memorization and emphasized reasoning based on concepts. This change assumed the brain…

Descriptors: Mathematics Instruction, Teaching Methods, Standards, Kindergarten

Tarim, Kamuran; Tarku, Hakan – International Electronic Journal of Mathematics Education, 2022

The aim of this study is to determine the distribution of the questions in an 8th grade mathematics textbook in terms of the categories (mathematical content, mathematical literacy contexts, mathematical processes, PISA mathematics proficiency scale levels, and item types) within the PISA mathematics literacy framework. Investigation of the…

Descriptors: Grade 8, Mathematics Instruction, Textbooks, Textbook Content

Budak, Kimberly Sirin; Akcay Ozkan, Zeynep – International Electronic Journal of Mathematics Education, 2022

In this paper, we report the analysis of thought processes used by Pre-Service Teachers' (PSTs') through clinical interviews as they solved an algebra task involving a linear pattern. The PST's were asked about a mathematical model they had constructed to describe a pattern problem. Our analysis suggests that conflict factors arise due to…

Descriptors: Preservice Teachers, Cognitive Processes, Algebra, Problem Solving

Morales Carballo, Armando; Damián Mojica, Angie; Marmolejo Vega, José Efrén – International Electronic Journal of Mathematics Education, 2022

A theoretical-didactic proposal based on variational ideas and the use of GeoGebra is described as a response to a local problem on the understanding of the concept of function and quadratic equation in pre-university students. The theoretical elements of this work are based on the understanding of concepts and the theory of semiotic registers and…

Descriptors: Mathematics Instruction, Educational Technology, Technology Uses in Education, Computer Software

Chamberlin, Michelle – International Electronic Journal of Mathematics Education, 2022

For teachers to provide students with meaningful instruction in area measurement, teachers need robust understandings of area. Here, I describe two cycles of a "lesson experiment" used to investigate prospective teachers' understandings of area units in an undergraduate mathematics class. For each cycle, I collected and analyzed the…

Descriptors: Preservice Teachers, Mathematics Instruction, Geometric Concepts, Measurement

Msomi, Alfred Mvunyelwa; Bansilal, Sarah – International Electronic Journal of Mathematics Education, 2022

Laplace transform (LT) is an essential mathematical tool for solving linear ordinary differential equations (ODE) with boundary values, by transforming differential equation into algebraic equations which are easier to manipulate. In this article, we analyse the errors students make and misconceptions they have in solving linear ODE using LT…

Descriptors: Mathematics Instruction, Error Patterns, Misconceptions, Equations (Mathematics)

Pielsticker, Felicitas – International Electronic Journal of Mathematics Education, 2022

The paper addresses concept formation processes of students in the field of geometry. More precisely, the paper deals with the questions of what knowledge do students activate about triangles in different contexts with different (digital) tools and furthermore what content-related meaning do they give to the concept of triangles? Methodologically,…

Descriptors: Geometry, Mathematical Concepts, Concept Formation, Case Studies

Asfaw, Ayanaw Yigletu; Weldeyesus, Kassa Michael; Ayele, Mulugeta Atnafu – International Electronic Journal of Mathematics Education, 2022

Three mathematics teacher educators who were assigned to teach fundamental concepts of algebra course in a teacher education college, as well as their prospective elementary mathematics teachers who took the course, took part in a job embedded, context-specific, and content-based comprehensive professional development (PD) program on assessment…

Descriptors: Algebra, Mathematics Instruction, Teacher Education Programs, Preservice Teachers

Castro-Filho, Jose Aires de; Santana, Eurivalda Ribeiro dos Santos; Couto, Maria Elizabete Souza; Castro, Juscileide Braga de; Maia, Dennys Leite – International Electronic Journal of Mathematics Education, 2022

This research sought to understand the perspectives of 28 elementary school mathematics teachers, on equity, social justice, cultural, socioeconomic, and racial issues and their relationship with the teaching and learning of mathematics (statistical concepts) in an online collaborative mathematics course focused on teaching statistics in an equity…

Descriptors: Public School Teachers, Faculty Development, Communities of Practice, Teacher Attitudes