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Alves, Francisco Regis Vieira; Barros, Francisco Evamar – Acta Didactica Napocensia, 2019

The study and interest of figurate numbers can be observed even in ancient Greece. On the other hand, it becomes very important the historical understanding about an evolutionary process and the particular generalization of such 2D, 3D and m-D figurate numbers and they remain the interest of current scientific investigations. On the other hand, in…

Descriptors: Mathematics Instruction, Visualization, Educational Technology, Computer Software

Alves, Francisco Regis Vieira; Dias, Marlene Alves – Acta Didactica Napocensia, 2018

In the training of mathematics teachers in Brazil we can not disregard the historical and epistemological component aiming the transmission of mathematics through a real understanding of the nature of classic concepts and foundamental definitions to Mathematics, whether in the school context or in the academic context. In this sense, the present…

Descriptors: Foreign Countries, Mathematics Instruction, Epistemology, Teacher Education

Alves, Francisco Regis Vieira – Acta Didactica Napocensia, 2018

In Brazil we have identified a predilection of the authors of Mathematical History books for the discussion of the fundamentals of Differential and Integral Calculus. On the other hand, when we consider the teaching of Mathematics in the school context, it is essential to know the teaching of the historical and dynamic evolution of the concepts,…

Descriptors: Mathematics Instruction, Textbooks, History, Mathematical Concepts

Alves, Francisco Regis Vieira – Acta Didactica Napocensia, 2018

The Professional Didactics (PD) and Didactics of Sciences (DC) have roots traditionally originated in France. While (PD) is interested in the process of adult learning, occurring in their work places, the (DC) shows greater attention to the field of action of teaching and learning of specific subjects and therefore in the action of the teacher in…

Descriptors: Science Teachers, Science Education, Computer Software, Mathematics Instruction

Alves, Francisco Regis Vieira – Acta Didactica Napocensia, 2016

Admittedly, the study of Complex Analysis (CA) requires of the student considerable mental effort characterized by the mobilization of a related thought to the complex mathematical concepts. Thus, with the aid of the dynamic system Geogebra, we discuss in this paper a particular concept in CA. In fact, the notion of winding number v[f(gamma),P] =…

Descriptors: Mathematical Concepts, Concept Teaching, Geometric Concepts, Geometry

Alves, Francisco Regis Vieira; Catarino, Paula Maria Machado Cruz – Acta Didactica Napocensia, 2016

The current research around the Fibonacci's and Lucas' sequence evidences the scientific vigor of both mathematical models that continue to inspire and provide numerous specializations and generalizations, especially from the sixties. One of the current of research and investigations around the Generalized Sequence of Lucas, involves it's…

Descriptors: Mathematical Models, Numbers, Algebra, Mathematical Formulas

Alves, Francisco Regis Vieira – Acta Didactica Napocensia, 2015

We find several applications of the Dynamic System Geogebra--DSG related predominantly to the basic mathematical concepts at the context of the learning and teaching in Brasil. However, all these works were developed in the basic level of Mathematics. On the other hand, we discuss and explore, with DSG's help, some applications of the polynomial's…

Descriptors: Teaching Methods, Educational Technology, Computer Software, Computer Uses in Education

Alves, Francisco Regis Vieira – Acta Didactica Napocensia, 2014

Admittedly, the notion of generalized integrals in one parameter has a fundamental role. En virtue that, in this paper, we discuss and characterize an approach for to promote the visualization of this scientific mathematical concept. We still indicate the possibilities of graphical interpretation of formal properties related to notion of…

Descriptors: Mathematical Concepts, Computer Uses in Education, Graphs, Computer Software

Viewing the Roots of Polynomial Functions in Complex Variable: The Use of Geogebra and the CAS Maple

Alves, Francisco Regis Vieira – Acta Didactica Napocensia, 2013

Admittedly, the Fundamental Theorem of Calculus-TFA holds an important role in the Complex Analysis-CA, as well as in other mathematical branches. In this article, we bring a discussion about the TFA, the RouchÃ©'s theorem and the winding number with the intention to analyze the roots of a polynomial equation. We propose also a description for a…

Descriptors: Mathematics Instruction, Algebra, Mathematical Concepts, Geometry