Marcelo Borba

Marcelo Borba
São Paulo State University | Unesp · Department of Mathematics

About

111
Publications
38,157
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Introduction
Marcelo C. Borba is a Professor of the Graduate Program in Mathematics Education and of the Mathematics Department at UNESP (State University of São Paulo) in Brazil, where he chairs the research group GPIMEM. Marcelo researches the use of digital technology in mathematics education, online distance education, modeling as a pedagogical approach, and qualitative research methodology. He is an Associate Editor of ZDM, The International Journal of Mathematics Education.

Publications

Publications (111)
Article
This paper aims to present how video production is impacting the classroom, mathematics students and teachers in Brazil, as well as mathematics knowledge production developed with this media. Digital video Festivals with mathematical content are being implemented in Brazil, locally and nationally. One of them is Mathematics Education Digital Video...
Article
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The COVID-19 pandemic has changed the agenda of mathematics education. This change will be analyzed by looking at three trends in mathematics education: the use of digital technology, philosophy of mathematics education, and critical mathematics education. Digital technology became a trend in mathematics education in response to the arrival of a di...
Article
In this research we investigate how mathematics teachers, as graduate students, estimate the value of π by exploring the problem of squaring the circle using digital technology. Initially, we mention some aspects of teaching and learning of calculus in the literature, emphasizing studies that use the notion of humans-with-media to highlight the rol...
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In this paper we emphasize the aesthetic-sensitive dimension of computational thinking in a scenario of pre-service mathematics teacher education. Through the development of teaching experiments we investigate aspects (skills/concepts/affordances) of computational thinking of mathematics majors emergent in the exploration of a task based on coding...
Article
Growing use of the internet in educational contexts has been prominent in recent years. In this survey paper, we describe how the internet is transforming the mathematics classroom and mathematics teacher education. We use as references several reviews of use of the internet in mathematics education settings made in recent years to determine how th...
Article
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With the advancement of digital technology, the roles of teachers and students are slowly changing. The classroom is on the verge of becoming a new, more open place, one with fewer barriers to the rest of society. Our purpose in this paper is to discuss how the creation of videos with mathematical content may contribute to this process of rendering...
Article
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Resumo Neste artigo discutimos o modo como a linguagem matemática formal, as tecnologias digitais, a internet, os ambientes virtuais de aprendizagem e a interação entre participantes de cursos a distância podem influenciar e transformar a produção de conhecimento em cursos a distância. Consideramos a pesquisa que deu origem a este artigo como um es...
Article
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O papel educativo das mídias digitais se destaca no cenário atual do qual os vídeos sobressaem pelo estímulo aos sentidos na produção de conhecimento, levando à uma nova forma de conhecer. Nesse contexto, a pesquisa apresentada neste artigo analisa como estudantes realizam intersemioses ao expressarem ideias matemáticas em vídeos e o papel da tecno...
Article
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Resumo Apresentamos uma análise do processo de constituição de práticas algébricas no contexto de projetos pedagógicos de modelagem -PPM-. Partimos da ideia de que as práticas algébricas indicam um conjunto de ações orientadas ao tratamento analítico de quantidades indeterminadas, mas, no contexto dos PPM, se constituem mediante a coordenação de pr...
Article
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Este artigo discute a docência sob a perspectiva de ações colaborativas com uso de tecnologias no ensino de matemática. Essas ações são vinculadas a uma pesquisa em andamento que incentiva e investiga a produção de vídeos com conteúdo matemático, por educadores e educandos. O processo de produção de vídeos viabiliza a relação horizontal, como defen...
Chapter
This chapter articulates research developed within the working group Mathematics Education: Digital Technologies and Distance Education of the Brazilian Mathematics Education Society (SBEM). To address the research foci of this group, we highlight theoretical and methodological aspects that form the framework of the studies that currently inform th...
Article
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Neste artigo pretende-se, através de uma revisão de literatura, apresentar o uso do vídeo em sala de aula de Matemática. Dessa revisão encontraram-se três vertentes para o uso do vídeo: (i) gravação de aulas, (ii) vídeo como recurso didático e (iii) produção de vídeos. Em seguida, discute-se, de forma mais aprofundada a vertente de produção de víde...
Article
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For the last 10 years, online pre-service teacher distance education has increased significantly in Brazil. As a result, research on this educational modality has also increased, in particular, research investigating the different roles students and teachers play in these courses. The purpose of this paper is to analyze the role of digital technolo...
Article
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Resumo: Neste artigo é discutido um possível papel que os alunos podem desempenhar no ensino de cursos a distância. Mais especificamente, discute-se como o aluno, a partir do contato com as Tecnologias Digitais, pode ser considerado como membro da polidocência na Educação a Distância. Para isso, foi realizada uma investigação qualitativa em três tu...
Article
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Este artigo visa apresentar o processo de criação, divulgação e realização do I Festival de Vídeos Digitais e Educação Matemática, vinculado a um projeto de pesquisa de maior envergadura. Para isso, destaca-se como surgiu a proposta de se realizar festivais, as tentativas de auxílios, as interações entre os envolvidos e a equipe do E-licm@t-Tube no...
Article
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Qualificar pessoas para atuar na formação de formadores em Ensino/Educação no Brasil é uma ação por si, de grande relevância social. Em 2017 a Área de Ensino registrou 157 programas, dos quais 140 foram avaliados: 139 individuais e um em rede, a REAMEC, Rede Amazônica de Ensino de Ciências e Matemática. Provocamos aqui reflexões sobre a avaliação t...
Article
This research was conducted during an online continuing education course for mathematics teachers, whose core focus was modeling and applications. We studied the interactions of one group of two teachers, who worked collectively in posing and solving a modeling problem through a closed group on the social network Facebook. The research question gui...
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Fecha de recepción: 12/09/2016 Fecha de aceptación: 06/12/2016 Resumen Este artículo analiza la colaboración realizada entre dos grupos de investigación, quienes ofertaron un curso totalmente a distancia para dos programas de maestría de diferente nacionalidad. Este curso fue parte de un proyecto de colaboración entre Brasil y Colombia entre los añ...
Article
The aim of this article is to analyze possible influences of internet on mathematics online distance production and discuss the interrelationships between human and non - human actors involved in this production. To this end, we analyze of empirical data produced in a Mathematical education course for teachers. The discussion is based on an approac...
Article
In this literature survey we focus on identifying recent advances in research on digital technology in the field of mathematics education. To conduct the survey we have used internet search engines with keywords related to mathematics education and digital technology and have reviewed some of the main international journals, including the ones in P...
Chapter
The aim of this chapter is to reflect on the possibilities and implications of using data, information, or images available on the Internet in the teaching of mathematics, particularly in the development of modeling projects. A focus on using the Internet as a source of data is developed by sharing an illustration of secondary school students (12-1...
Chapter
Language diversity in mathematics education is generally concerned with “multiple language use, learning through second or additional languages, learning through minority or oppressed languages, or through majority or dominant languages” (ICMI Study 21 Discussion document—see Appendix). For example, one issue in language diversity is the hegemonic...
Article
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This article presents an analysis of the research on the use of digital technologies in mathematics classes in Brazil. Our research was based on articles in BOLEMA that have addressed this issue over the past thirty years. Methodologically, we conducted an analysis of the texts seeking similarities between them, combining elements of literature rev...
Poster
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This poster aims to present the role played by the software GeoGebra in an activity which the goal was to try an approach to teaching the notion of sequence convergence, more specifically to understand the relationship between 𝜖 and 𝑛! in the definition of numerical sequences. We use an experimental approach, in which some non-deductive methods are...
Chapter
The main aim of this chapter is to reflect on the teaching and learning of mathematics as processes carried out through the construction of electronic games. Here, game construction is associated with the perspective of Mathematical Modeling, emphasizing the mathematical aspects specific to the programming language used by the software Scratch. In...
Article
In many of his recent publications, Lerman discusses the use of information and communication technology (ICT) in mathematics teaching and learning, addressing several issues such as numeracy, classroom interactions, scaffolding, teacher education, pedagogy, online education, the use of whiteboards, and so forth. In our research, we have addressed...
Chapter
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In ICME12, the role of technology in mathematics education was divided into two distinct study groups: Analysis of uses of technology in the teaching (TSG 18) and learning (TSG 19) of mathematics. Of course, these two aspects of mathematics education are closely intertwined, but we tried to concentrate the TSG 19 discussions around the aspect of LE...
Conference Paper
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Este artigo tem o objetivo de discutir o papel transformador da internet em uma disciplina de Álgebra Linear realizada a distância. O trabalho faz parte de uma pesquisa mais ampla, em desenvolvimento, que busca analisar o papel das tecnologias digitais na referida disciplina em algumas Licenciaturas em Matemática à distância. Trata-se de uma pesqui...
Data
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We discuss some results of a study carried out over the past 4 years to investigate the role of Modellus, a software package, in the development of an approach to teaching calculus for Biology majors. The central idea of the teaching approach is to propose the analysis of a mathematical model for a biological phenomenon at the very beginning of the...
Article
In this introductory paper we take partial stock of the current state of field on calculus research, exemplifying both the promise of research advances as well as the limitations. We identify four trends in the calculus research literature, starting with identifying misconceptions to investigations of the processes by which students learn particula...
Article
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Este artigo tem o objetivo de discutir resultados parciais de um trabalho cujo objetivo é analisar o uso de Tecnologias Digitais (TD) em Licenciaturas em Matemática a Distância vinculadas à UAB. Apresentamos aqui a análise parcial de nove das 37 instituições que ofereciam o curso em 2013. A pesquisa é de cunho qualitativo com análise indutiva. A an...
Article
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Resumo - O objetivo deste artigo é mostrar como a Educação Matemática online se encontra hoje no Brasil. Em um primeiro momento a pesquisa em Educação a Distância online (EaDonline) estava muito próxima da pesquisa em tecnologia e Educação Matemática. Com o advento da massificação do uso da modalidade a distância para formação de professores, cada...
Chapter
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In this chapter we discuss how the Internet is interacting with mathematics education. After briefly discussing the rise of the Internet and its impact on education, we suggest that it has the potential to disrupt mathematics teaching and learning. Moving far beyond its used as a data resource, we suggest the Internet will provide on-demand access...
Article
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This paper begins by situating online mathematics education in Brazil within the context of research on digital technology over the past 25 years. I argue that Brazilian research on technology in mathematics education can be divided into four phases, and then present an example that “blends” aspects of the second and third phases. Phase two can be...
Article
Online mathematics teacher education is characterized as an emergent area of research in mathematics education. We identify some key topics that require further research: communities and networks of teachers in online environments; sustainability of these communities and kinds of organizational structures; knowledge-building practices in technology...
Article
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In this paper, we analyze the reading and the interpretation of "ready data". We consider ready-data the information collected from the Internet, such as graphs or a mathematical formulas, without explanation of how they were generated. With this idea in mind, we re-think the mosaic of the research carried out by our research group, GPIMEM. This gr...
Chapter
In this paper we present a pedagogical strategy developed to work with students of a Calculus discipline for a Biology course at UNESP, State University of São Paulo, Brazil. This proposal involves two trends in mathematics education: modeling and technology. We use computer technology to present students since day one of the course with issues reg...
Data
Full-text available
This paper begins by situating online mathe-matics education in Brazil within the context of research on digital technology over the past 25 years. I argue that Brazilian research on technology in mathematics education can be divided into four phases, and then present an example that ''blends'' aspects of the second and third phases. Phase two can...
Article
Full-text available
Este artigo apresenta uma pesquisa que é resultado de cursos online de formação continuada de professores, concebidos a partir de uma parceria entre a UNESP e uma rede nacional de escolas de Ensino Básico. Os cursos buscavam familiarizar os professores de Matemática com os recursos da tecnologia informática, especificamente dois softwares, o Geomet...
Article
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This study is the result of on-line continuing education courses for teachers taught through a partnership between UNESP and a national network of basic education schools. The courses aimed to familiarize mathematics teachers with information technology resources, specifically two software programs, Geometricks and Winplot, and their potential use...
Article
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In this paper, we present GPIMEM, a group that has been developing research in Mathematics Education related to computers and other media since 1993 to understand how mathematical knowledge can be produced with these technological resources, in face-to-face as well as online distance education. Members of the group dialogue with different fields of...
Chapter
The questions, whether mathematical modelling can be learnt and what we know from empirical research, are highly relevant not only for the current research on modelling, but they are as well essential for curricular changes introducing modelling into schools. Werner Blum tackles these questions in his paper from several perspectives and shows impor...
Article
Mathematics education in Brazil, if we consider what one may call the scientific phase, is about 30 years old. The papers for this special issue focus mainly on this period. During these years, many trends have emerged in mathematics education to address the complex problems facing Brazilian society. However, most Brazilian mathematics educators fe...
Article
In this chapter we intend to show how we learned mathematics in the process of teaching teachers online how to use geometry software in face-to-face classrooms. We emphasize that we need to be open to risks and being pushed beyond our “comfort zone” if we want to use information and communication technology. In particular, we emphasize that the ris...
Article
Este artigo apresenta questões técnicas associadas ao uso de notação matemática na web e revisa as principais tecnologias para uso de notação matemática disponíveis atualmente. É apresentada uma proposta baseada em tecnologias abertas e gratuitas para viabilizar o uso da notação matemática em um ambiente de aprendizado eletrônico (learning manageme...
Article
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Research on the influence of multiple representations in mathematics education gained new momentum when personal computers and software started to become available in the mid-1980s. It became much easier for students who were not fond of algebraic representations to work with concepts such as function using graphs or tables. Research on how student...
Article
The main aim of this study was to present evidence of the ways in which different media have conditioned and dramatically reorganized education, in general, and mathematics education, in particular. After an introduction of the theme, we discuss the epistemological perspective that provides the foundation for our analysis: the notion of humans-with...
Chapter
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The purpose of this chapter is to present a synthesis of the papers from Strand II which address the tools, dynamics, tasks, contexts, and learning settings that can be mobilized for pre-service and in-service mathematics teacher education. Within this focus, we have identified four topics around which our chapter is organized. In the first section...
Article
What if we take the view, as an elementary school teacher once noted, that mathematics “can be discussed with your family and friends just like you would a favorite book or new movie”? (Gadanidis, forthcoming).
Chapter
This chapter presents a collaborative experience between two neighbouring countries from South America: Argentina and Brazil. Our purpose is to share a model of international collaboration that we consider to be an alternative to the classical movement of early mathematical and scientific knowledge between East and West and between North and South....
Book
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In the new times of globalisation, international academic contacts and collaborations are ever increasing. They are taking many forms, from international conferences and publications, student and academic exchange cross cultural research projects, curriculum development to professional development activities and affect every aspect of academic life...
Article
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In this paper, we discuss some aspects of Mathematics education, seen as a realm of inquiry, and we show how this field has strong ties both with mathematics and with education, as well as other areas. We also aim to illustrate – through an example related to research regarding mathematics distance education – how Mathematics is transformed when di...
Article
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Neste artigo apresentamos o projeto Tecnologia da Informação noDesenvolvimento da Internet Avançada - Aprendizado eletrônico, que tem comoobjetivo o desenvolvimento de um ambiente formado por um conjunto de ferramentasintegradas, independentes de plataforma operacional, e voltadas para a Educação aDistância on-line. Descrevemos como o GPIMEM (Grupo...
Article
This paper presents some research findings regarding the changes in the mathematics produced by mathematics teachers in on-line distance courses. Predicated on the belief that knowledge is generated by collectives of humans-with- media, and that different technologies modify the nature of the knowledge generated, we have sought to understand how th...
Book
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This book offers a new conceptual framework for reflecting on the role of information and communication technology in mathematics education. Borba and Villarreal provide examples from research conducted at the level of basic and university-level education, developed by their research group based in Brazil, and discuss their findings in the light of...