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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

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

McGowen, Mercedes A.; Davis, Gary E. – International Electronic Journal of Mathematics Education, 2022

We discuss and examine a numerical indicator--the individual gain--of students' engagement and mathematical growth in relation to an instructor's course aims and goals. The individual gain statistic assesses the fractional amount an individual student improves initial-test to final-test. We argue that an initial-test score and a final-test score,…

Descriptors: Learner Engagement, Cognitive Processes, Mathematics Achievement, Scores

Mainali, Bhesh – International Electronic Journal of Mathematics Education, 2021

Preferences for solution methods have an important implication teaching and learning mathematics and students' mathematical performances. In the domain of learning mathematics, there are two modes of processing mathematical information: verbal logical and visual-pictorial. Learners who process mathematical information using verbal logical and…

Descriptors: Teaching Methods, Mathematics Instruction, Preferences, Mathematics Achievement

Liebscher, Eckhard; Michael, Ben – International Electronic Journal of Mathematics Education, 2019

In the paper a software solution is presented for the generation of instances of exercises. The focus is on education in mathematics but the approach can be adopted in other fields such as computer science and natural science. The present solution uses the R environment for the generation process and LaTeX for the content presentation. In the…

Descriptors: Mathematics Instruction, Electronic Learning, Integrated Learning Systems, Probability

Kuznetsova, Elena – International Electronic Journal of Mathematics Education, 2019

The goal the article is to answer the questions: "Why the probability theory and its applications should be studied?" and "What is the attitude of students to the study of probabilistic branches of mathematics?" The values of probabilistic branches of mathematics (stochastics) are revealed on the analysis of scientific…

Descriptors: College Mathematics, Probability, Undergraduate Students, Student Attitudes

Muhammad, Adhraa M.; Ayal, A. M. – International Electronic Journal of Mathematics Education, 2019

Bernstein polynomial is one of the most valuable and attractive method used to develop numerical solution for several complex models because of its robustness to demonstrate approximation for anonymous equations. In this paper, Bernstein polynomial is proposed to present effective solution for the 2nd kind linear Volterra integral equations with…

Descriptors: Algebra, Mathematical Formulas, Equations (Mathematics), Problem Solving

International Electronic Journal of Mathematics Education, 2018

This paper discusses a proposal for exploration and verification of numerical and algebraic behavior correspondingly to Generalized Fibonacci model. Thus, it develops a special attention to the class of Fibonacci quaternions and Fibonacci octonions and with this assumption, the work indicates an investigative and epistemological route, with…

Descriptors: Professional Personnel, Mathematics Instruction, Mathematical Models, Mathematical Formulas

Mendes, Iran Abreu; da Silva, Carlos Aldemir Farias – International Electronic Journal of Mathematics Education, 2018

In this article we present our arguments in favor of a teaching of mathematics by means of problematization and investigation, one that includes in the classroom multiple ways and meanings for the students to read the world around them. In this respect, we propose a teaching-learning process of mathematics grounded on the relationships between…

Descriptors: Teaching Methods, Mathematics Instruction, Mathematics Teachers, Learning Processes