On the influence of theory on research in mathematics education: the case of teaching and learning limits of functions

ZDM ◽  
2008 ◽  
Vol 40 (2) ◽  
pp. 189-199 ◽  
Author(s):  
Christer Bergsten
2017 ◽  
Vol 41 (1) ◽  
pp. 228-252 ◽  
Author(s):  
Maisie L. Gholson ◽  
Charles E. Wilkes

This chapter reviews two strands of identity-based research in mathematics education related to Black children, exemplified by Martin (2000) and Nasir (2002). Identity-based research in mathematics education is a burgeoning field that is disrupting narratives around the meanings of mathematical competence and brilliance. We argue that the identities of Black children as doers and knowers of mathematics are often confused (or mistaken) with stereotypical images of various social identities, as well as wrongly confiscated (or mis-taken), in order to perpetuate persistent narratives of inferiority, criminality, and general ineducability of these children. We use Black children as a particular example within the mathematics education research literature and argue that children within a so-called “collective Black” are subject to the same racial scripts that organize mathematics teaching and learning. While we acknowledge that important lines of identity-based research have emerged to reclaim the rightful identities of Black children and those within the collective Black, we conclude with a critique of this recent literature in which we note the troubling exclusion of girls and young children.


2021 ◽  
Vol 22 (3) ◽  
pp. 310-316
Author(s):  
André Lima Rodrigues ◽  
Bruno Rodrigo Teixeira

Resumo O conhecimento do professor é fundamental para o ensino e para a aprendizagem dos estudantes e possui, em suas características, o fato de ser especializado. Tendo isso em vista, o presente artigo tem por objetivo investigar a utilização do modelo denominado Conhecimento especializado do Professor de Matemática (MTSK) em dissertações e teses brasileiras. Para isso, foi realizada uma busca no Catálogo de Dissertações e Teses da Coordenadoria de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) e na Biblioteca Digital Brasileira de Teses e Dissertações (BDTD) e o corpus foi composto por sete trabalhos. Os resultados permitiram evidenciar a utilização analítica do modelo para identificar e caracterizar conhecimentos de professores e futuros professores relacionados aos diferentes assuntos; a utilização do modelo para a realização de um trabalho de metassíntese; e também para a proposição de um modelo de conhecimento semelhante para a disciplina de Física. Ainda, destaca-se a predominância de sua utilização em contextos de formação continuada e no ensino a distância, e a ausência de trabalhos que investigam o MTSK na modalidade presencial da formação inicial. Com isso, considera-se que o estudo pode provocar questionamentos que orientem o desenvolvimento de novas pesquisas em Educação Matemática, indicando possibilidades do uso do modelo e a necessidade de valorização da profissionalização docente e da defesa de políticas públicas que reafirmem que o conhecimento do professor é especializado. Palavras-chave: Educação Matemática. Formação de Professores. Conhecimentos Profissionais Docentes. MTSK. AbstractTeacher’s knowledge is fundamental for the studentss’ teaching and learning and has in its characteristics the fact of being specialized. With this in view, this article aims to investigate the use of the Mathematics Teacher’s Specialized Knowledge (MTSK) model in Brazilian dissertations and theses. For this purpose, a search was made in the Dissertations and Thesis Catalogue of the Coordination for the Improvement of Higher Education Personnel (CAPES) and the Brazilian Digital Library of Theses and Dissertations (BDTD) and the corpus comprised seven papers. The results highlighted the analytical use of the model to identify and characterize the teachers’ and future teachers’ knowledge related to different subjects; the use of the model for performing a meta-synthesis work; and also, for proposing a similar knowledge model for the Physics subject. Additionally, the predominance of its use is highlighted in contexts of continuous education and in distance education, and the absence of works that investigate MTKS in face-to-face modality of initial formation. Therefore, it is considered that the study may bring about questions that may guide the development of new research in Mathematics Education, indicating possibilities of using the model and the need to value teaching professionalization and the defense of public policies reaffirming that the teacher’s knowledge is specialized. Keywords: Mathematics Education. Teacher’s education. Teacher’s professional knowledge. MTSK.


1984 ◽  
Vol 15 (5) ◽  
pp. 322
Author(s):  
Laurie Hart Reyes

Mathematics learning is essentially cognitive in nature, and much of the research in mathematics education has focused on cognitive aspects of teaching and learning. Few would disagree with this focus, but researchers may want to expand their view to include social aspects of mathematics learning.


Author(s):  
DANILO DOS SANTOS CHRISTO ◽  
SONIA BARBOSA CAMARGO IGLIORI

ResumoNeste artigo apresentamos ideias preliminares de nossa tese de doutorado e elementos de um novo campo de pesquisa em educação matemática: The ‘Resources’ Approach to Mathematics Education (RAME) – A Abordagem dos “Recursos” para a Educação Matemática (TROUCHE, GUEUDET E PEPIN, 2019). A Abordagem Documental do Didático (GUEUDET e TROUCHE, 2010) desempenha um papel particular neste novo campo. Na revisão da literatura verificamos que o conceito de derivada, inserido em um campo conceitual (VERGNAUD, 1990), apresenta dificuldade de aprendizagem para os estudantes, sendo que esses se saem melhores no uso da técnica do que no entendimento e atribuição de significado a esse conceito matemático. A proposta da pesquisa é de efetivar um estudo de caso com estudantes de Licenciatura em Matemática de uma universidade brasileira, desenvolvendo uma ação coletiva entre pesquisador e professor na concepção de recursos para o processo de ensino e aprendizagem do conceito de derivada no Ensino Superior. Palavras-chave: Abordagem dos Recursos; Abordagem Documental do Didático; Conceito de Derivada; Campo Conceitual; Estudo de Caso.AbstractIn this article we present preliminary ideas for our doctoral thesis and elements of a new field of research in mathematics education: The ‘Resources’ Approach to Mathematics Education - RAME - (TROUCHE, GUEUDET & PEPIN, 2019). The Documentational Approach to Didacts (GUEUDET & TROUCHE, 2010) has a particular role in this new field. In the literature review, we found that the concept of derivative, inserted in a conceptual field (VERGNAUD, 1990), presents learning difficulties for students, because they do better in the use of the technique than in the understanding and attribution of meaning to this mathematical concept. The research proposal is to carry out a case study with Mathematics undergraduate students from a brazilian university, developing a collective action between researcher and professor in the conception of resources for the process of teaching and learning the concept of derivative in Higher Education.Keywords: Resource Approach; Documentational Approach to Didacts; Concept of Derivative; Conceptual Field; Case Study.   


2009 ◽  
Vol 40 (3) ◽  
pp. 214-215
Author(s):  
M. Kathleen Heid

Investigating the teaching and learning of mathematics is an international enterprise, and the Journal for Research in Mathematics Education regularly benefits from the insightful contributions of reviewers and authors from every corner of the earth. JRME has long been considered one of the top international journals in mathematics education research with a worldwide community of researchers in mathematics education among its authors, reviewers, and readers. As a matter of practice, the Editorial Panel of the journal seeks international scholars to help in reviewing submissions. Reviewers regularly advise authors on how to expand their articles for a broader audience and identify those articles that are likely to have a global appeal. Over the past few years, a major source of advice was been the JRME International Advisory Board (IAB): Janet Ainley, Toshiakira Fujii, Koeno Gravemeijer, Lucia Grugnetti, Gilah Leder, and Renuka Vithal. In addition to providing reviews on a regular basis, the IAB has the responsibility for advising the Editorial Panel on maintaining the international visibility and responsiveness of the journal. During the past year, using Internet capabilities and careful coordination of timing, we were able to involve members of the IAB in a portion of the regular meeting of the Editorial Board.


2015 ◽  
Vol 46 (4) ◽  
pp. 497-504
Author(s):  
Keith R. Leatham ◽  
Kate R. Johnson ◽  
Steven R. Jones

In MasterClass in Mathematics Education: International Perspectives on Teaching and Learning, editors Paul Andrews and Tim Rowland introduce research in mathematics education in the tradition of a Master Class. Each of the 17 chapters is organized around a set of core readings (four such readings for all but one chapter). Authors were asked “to include some commentary and/or exposition of the readings, and to set them in the broader context of ideas and methods to which they belong” (p. xiv). Each team of authors is actively engaged in research related to the topic of their chapter. This familiarity gives the reader a sense of having an “insider's view” into the topics as well as an appreciation of the perspective (among many possibilities) that the chapter imparts with regard to the given topic. Throughout this review, we refer to the intended audience for this book–a novice to mathematics education research–as “the reader,” and to one who might assign or recommend the book to such a reader as “the mentor.” The two main purposes of this review are (a) to aid the mentor in deciding how to use this book with the reader and (b) to aid the reader as they use the book and are introduced to research in mathematics education. Thus, we hope the mentor will consider assigning this review as introductory reading. We have organized the review into three main sections. The first contains brief summaries of each of the 17 chapters, the second a critique of how well the book fulfills its primary purposes (as outlined in its preface), and the third our overall recommendations for use of the book.


2018 ◽  
Vol 49 (4) ◽  
pp. 501-512
Author(s):  
Jeremy Kilpatrick

A quarter century ago, the National Council of Teachers of Mathematics (NCTM) published the first Handbook of Research on Mathematics Teaching and Learning (Grouws, 1992); 15 years later, they published a Second Handbook of Research on Mathematics Teaching and Learning (Lester, 2007). Now, in anticipation of its centenary in 2020, NCTM has published the Compendium for Research in Mathematics Education. The replacement of Handbook of by Compendium for in the title, though originating as an issue associated with copyright permission, also represents a kind of progress. The word handbook was originally used to mean something like “small, easily consulted pocket reference,” which certainly did not apply to the first two publications. In his preface, Cai quotes the dictionary definition of compendium as “‘a collection of concise but detailed information about a particular subject’ that has been ‘systematically gathered’” (p. vii), and he emphasizes that the three components of “concise,” “detailed,” and “systematically gathered” characterize the compendium at hand. Perhaps even more significant is the change from of to for. That change was made, according to Cai, to signal a shift from a static, backward-looking collection of observations about research in our field to a resource that could be used to move that research forward. To service that shift, the authors of all the compendium chapters were asked to speculate on future directions for research in light of the research they were reviewing.


1986 ◽  
Vol 17 (5) ◽  
pp. 347-360
Author(s):  
Jere Confrey

A dialogue between Socrates and a researcher who claims to know what constitutes effective teaching is used to critique the implicit assumptions held by researchers on teaching, highlighting their differences with construcrivist researchers. Teacher effectiveness research is criticized for its empiricism; its disregard of the interaction between content and instruction; and its conceptions of mathematics, teaching, and learning. Potential bridges for communication are identified from the two communities' shared interest in how students perceive different examples and explanations and how they might be intrinsically motivated to learn mathematics. In Socratic style, the dialogue ends by emphasizing that the question of what constitutes effective teaching remains unresolved.


2021 ◽  
Vol 107 (1) ◽  
pp. 1-24
Author(s):  
Arthur Bakker ◽  
Jinfa Cai ◽  
Linda Zenger

AbstractBefore the pandemic (2019), we asked: On what themes should research in mathematics education focus in the coming decade? The 229 responses from 44 countries led to eight themes plus considerations about mathematics education research itself. The themes can be summarized as teaching approaches, goals, relations to practices outside mathematics education, teacher professional development, technology, affect, equity, and assessment. During the pandemic (November 2020), we asked respondents: Has the pandemic changed your view on the themes of mathematics education research for the coming decade? If so, how? Many of the 108 respondents saw the importance of their original themes reinforced (45), specified their initial responses (43), and/or added themes (35) (these categories were not mutually exclusive). Overall, they seemed to agree that the pandemic functions as a magnifying glass on issues that were already known, and several respondents pointed to the need to think ahead on how to organize education when it does not need to be online anymore. We end with a list of research challenges that are informed by the themes and respondents’ reflections on mathematics education research.


Author(s):  
Yeping Li ◽  
Alan H. Schoenfeld

AbstractMathematics is fundamental for many professions, especially science, technology, and engineering. Yet, mathematics is often perceived as difficult and many students leave disciplines in science, technology, engineering, and mathematics (STEM) as a result, closing doors to scientific, engineering, and technological careers. In this editorial, we argue that how mathematics is traditionally viewed as “given” or “fixed” for students’ expected acquisition alienates many students and needs to be problematized. We propose an alternative approach to changes in mathematics education and show how the alternative also applies to STEM education.


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