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State of the Art on the Leonardo Sequence: An Evolutionary Study of the Epistemic-Mathematical Field
Milena Carolina dos Santos Mangueira; Francisco Regis Vieira Alves; Paula Maria Machado Cruz Catarino; Elen Viviani Pereira Spreafico – Pedagogical Research, 2024
This work is a segment of an ongoing doctoral research in Brazil. The Leonardo numbers and the Leonardo sequence have gained attention from mathematicians and the academic community. Despite being a relatively new sequence within mathematical literature, its discussion has intensified over the past five years, giving rise to other branches, with…
Descriptors: Mathematics Instruction, Teaching Methods, Doctoral Students, Mathematics
Barros, Pedro Henrique Alves; da Silva, Patrícia Nunes – International Journal of Mathematical Education in Science and Technology, 2022
The Tchokwe people lived on the African continent, in Mozambique and Angola. The sona belong to their cultural tradition. The sona are drawings made in the sand by older members of the tribe to tell stories, essential in the youngests' formation. In this article, we show a relationship between the sona and the greatest common divisor (GCD) of two…
Descriptors: African Culture, Mathematics Instruction, Numbers, Concept Formation
Alves, Francisco Regis Vieira; Vieira, Renata Passos Machado; Catarino, Paula Maria Machado Cruz – International Electronic Journal of Mathematics Education, 2020
In this work, recurrent and linear sequences are studied, exploring the teaching of these numbers with the aid of a computational resource, known as Google Colab. Initially, a brief historical exploration inherent to these sequences is carried out, as well as the construction of the characteristic equation of each one. Thus, their respective roots…
Descriptors: Educational Technology, Technology Uses in Education, Geometric Concepts, Numbers
Inclusive Model Application Using Accessible Learning Objects to Support the Teaching of Mathematics
Mourão, Andreza Bastos; Netto, José Francisco de Magalhães – Informatics in Education, 2019
This article presents an experience report regarding the application of an Inclusive Model of Development of Accessible Learning Objects, in the Mathematics discipline, to help 8th year Elementary School children, to perform calculations with natural numbers. The Learning Object was developed using Scratch and accessibility guidelines to include…
Descriptors: Models, Mathematics Instruction, Resource Units, Foreign Countries
da Silva, Karina Alessandra Pessoa; de Almeida, Lourdes Maria Werle – REDIMAT - Journal of Research in Mathematics Education, 2018
In this article we present a reflection about the meaning attribution to the mathematical object "exponential function" that emerges from two mathematical modeling activities. The theoretical framework of the text contemplates considerations on Mathematical Modeling and elements of semiotics as theorized by Charles Sanders Peirce. The…
Descriptors: Semiotics, Mathematical Models, Familiarity, Mathematics Instruction
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
González-Martín, Alejandro S.; Giraldo, Victor; Souto, Alexandre M. – Research in Mathematics Education, 2013
In this paper we analyse the introduction of irrational and real numbers in secondary textbooks, and specifically the propositions on how these should be taught, in a sample of Brazilian textbooks used in state schools and approved by the Ministry of Education. The analyses discussed in this paper follow an institutional perspective (using…
Descriptors: Textbooks, Secondary Education, Numbers, Foreign Countries
Edmonds-Wathen, Cris – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
Linguistic relativity, the idea that language affects the way that people think, and that people who speak different languages think differently, has implications for mathematics education because people use different languages to teach, learn and practice mathematics. This paper reviews research on linguistic relativity and number, looking at…
Descriptors: Mathematics Instruction, Language Role, Psycholinguistics, Language Usage
Verbal Mediating Responses: Effects on Generalization of Say-Do Correspondence and Noncorrespondence
Lima, Edhen Laura; Abreu-Rodrigues, Josele – Journal of Applied Behavior Analysis, 2010
We analyzed the effects of verbal mediating responses on the acquisition and generalization of say-do correspondence and noncorrespondence. Participants were assigned to groups in which either reinforcers (feedback and tokens) were arranged for say-do correspondence and noncorrespondence, or no reinforcers were programmed. Participants in these…
Descriptors: Generalization, Behavior Modification, Reinforcement, Feedback (Response)
Sriraman, Bharath; Lesh, Richard – Mathematical Thinking & Learning: An International Journal, 2007
The name of Zoltan P. Dienes (1916- ) stands with those of Jean Piaget, Jerome Bruner, Edward Begle, and Robert Davis as a legendary figure whose work left a lasting impression on the field of mathematics education. Dienes' name is synonymous with the multibase blocks that he invented for the teaching of place value. Among numerous other things,…
Descriptors: Foreign Countries, Numbers, Number Concepts, Manipulative Materials
Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006
This volume of the 30th annual proceedings of the International Group for the Psychology of Mathematics Education conference presents: plenary panel papers; research forum papers; short oral communication papers; and poster presentation papers from the meeting. Information relating to discussion groups and working sessions is also provided.…
Descriptors: Program Effectiveness, Foreign Countries, Secondary School Students, Mathematics Instruction
Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006
This document contains the second volume of the proceedings of the 30th Annual Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 60 research reports by presenters with last names beginning between Abr…
Descriptors: Program Effectiveness, Foreign Countries, Middle Schools, Textbooks