scholarly journals Collective Teaching Experiments: Organizing a Systemic Cooperation Between Reflective Researchers and Reflective Teachers in Mathematics Education

2020 ◽  
pp. 239-248
Author(s):  
Erich Christian Wittmann
Keyword(s):  
Mathematics Education ◽  
Learning Environments ◽  
Mathematics Teaching ◽  
Empirical Studies ◽  
Empirical Information ◽  
Reflective Teachers ◽  
Empirical Foundation ◽  
Teaching Experiments

AbstractThe success of any substantial innovation in mathematics teaching depends crucially on the ability and readiness of teachers to make sense of this innovation and to transform it effectively and creatively to their context. This refers not only to the design and the implementation of learning environments but also to their empirical foundation. Empirical studies conducted in the usual style are not the only option for supporting the design empirically. Another option consists of uncovering the empirical information that is inherent in mathematics by means of structure-genetic didactical analyses. In this chapter, a third option is proposed as particularly suited to bridge the gap between didactical theories and practice: collective teaching experiments.

scholarly journals Teaching Units as the Integrating Core of Mathematics Education

2020 ◽  
pp. 25-36
Author(s):  
Erich Christian Wittmann
Keyword(s):  
Mathematics Education ◽  
Teacher Training ◽  
Mathematics Teaching ◽  
Teaching Practice ◽  
Empirical Studies ◽  
Interdisciplinary Field ◽  
The Status ◽  
Psychology Pedagogy ◽  
Didactics Of Mathematics

AbstractHow to integrate mathematics, psychology, pedagogy and practical teaching within the didactics of mathematics in order to get unified specific theories and conceptions of mathematics teaching? This problem—relevant for theoretical and empirical studies in mathematics education as well as for teacher training—is considered in the present paper. The author suggests an approach which is based on teaching units (Unterrichtsbeispiele). Suitable teaching units incorporate mathematical, pedagogical, psychological and practical aspects in a natural way and therefore they are a unique tool for integration. It is the aim of the present paper to describe an approach to bridging the often deplored gap between didactics of mathematics teaching on one hand and teaching practice, mathematics, psychology, and pedagogy on the other hand. In doing so I relate the various aspects of mathematics education to one another. My interest is equally directed to teacher training and to the methodology of research in mathematics education. The structure of the paper is as follows. First I would like to make reference to and characterize an earlier discussion on the status and role of mathematics education; secondly, I will talk about problems of integration which naturally arise when mathematics education is viewed as an interdisciplinary field of study. The fourth and essential section will show how to tackle these problems by means of teaching units. The present approach is based on a certain conception of mathematics teaching which is necessary for appreciating Sect. 4. This conception is therefore explained in Sect. 3.

Mathematics Textbook as an Object of Research/Matematički udžbenik kao predmet istraživanja

2014 ◽  
Vol 16 ◽  
Author(s):  
Dubravka Glasnović Gracin
Keyword(s):  
Mathematics Education ◽  
Mathematical Knowledge ◽  
Empirical Studies ◽  
Mathematics Textbooks ◽  
Mathematics Textbook ◽  
Mathematics Book

AbstractA mathematics textbook can be described as an officially authorized and pedagogically designed mathematics book written to provide mathematical knowledge to students. This description suggests the authority of the textbook - because it has been authorized by an administrative source and because it deals with authorized knowledge. This paper provides an overview of research on mathematics textbooks. The emphasis is on questions concerning the extent to which and how textbooks are used in mathematics education in Croatia and in the world.Research results show that mathematics textbooks are widely used in mathematics education worldwide. This finding points to the need for research on the content and structure of textbooks. Such studies are combined with the associated results on how textbooks are used in the classroom and which methods teachers apply in using textbooks in mathematics education. The results of the empirical studies show that teachers use textbooks for lesson preparation and pupils use mathematics textbooks for exercises to a great extent. These results imply that such an important role of textbooks in mathematics education deserves additional attention, with the goal of understanding and improving mathematics education.Key words: mathematics education; overview; research on textbook---SažetakMatematički udžbenik može se opisati kao službeno autorizirana i pedagoki osmiljena matematička knjiga napisana s ciljem da učenicima ponudi matematičke sadržaje. Taj opis sugerira autoritet udžbenika jer ga je autorizirao administrativni izvor i jer sadrži autorizirano znanje. Ovaj članak daje pregled istraživanja matematičkih udžbenika, a naglasak je na pitanjima u kojoj mjeri i kako se udžbenici koriste u nastavi matematike u Hrvatskoj i u svijetu.Rezultati raznih istraživanja pokazuju da se udžbenici u velikoj mjeri koriste u nastavi matematike irom svijeta. Taj nalaz ukazuje na potrebu za istraživanjem sadržaja i strukture matematičkih udžbenika. Uz to, prikazani su rezultati istraživanja o tome na koji se način udžbenici koriste u razredu i koje metode nastavnici prakticiraju prilikom upotrebe udžbenika na nastavi. Rezultati empirijskih studija pokazuju da nastavnici udžbenike većinom koriste za pripremu nastavnog sata, a učenici udžbenike koriste u najvećoj mjeri za vježbanje. Ti rezultati ukazuju na to da tako važna uloga udžbenika u matematičkom obrazovanju zaslužuje dodatnu pažnju s ciljem razumijevanja i poboljanja nastave matematike.Ključne riječi: istraživanje udžbenika; nastava matematike; pregled.

Learning Environments in Mathematics Education

2020 ◽  
pp. 459-464
Author(s):  
Tak-Wai Chan ◽  
Siu Cheung Kong ◽  
Hercy N. H. Cheng
Keyword(s):  
Mathematics Education ◽  
Learning Environments

Empirically Supported Psychological Treatments: EMDR

2012 ◽  
pp. 448-462
Author(s):  
C. Richard Spates ◽  
Sophie Rubin
Keyword(s):  
Mechanism Of Action ◽  
Stress Disorder ◽  
Empirical Studies ◽  
Future Research ◽  
Evidence Based ◽  
Psychological Treatments ◽  
Empirically Supported ◽  
Theoretical Mechanism ◽  
Effectiveness Trials ◽  
Empirical Foundation

In this chapter we review the empirical foundation for Eye Movement Desensitization and Reproessing Therapy (EMDR) for posttraumatic stress disorder. We present a brief description of the therapy, critically review recent primary and meta-analytic investigations concerning its efficacy and effectiveness, offer a summary of recent primary investigations that addressed the mechanism of action for EMDR, and based on this overall review, we suggest limitations with recommendations for future research. Recent empirical investigations of the efficacy of EMDR have improved along a number of important dimensions, and these along with the few completed effectiveness trials, position this therapy among evidence-based frontline interventions for PTSD. What is less thoroughly researched, and thus less well understood, are putative models of its theoretical mechanism of action. In addition to continuing specific improvements in research concerning efficacy and effectiveness, we recommend more and higher quality empirical studies of its mechanism of action.

scholarly journals HISTORY OF MATHEMATICS EDUCATION IN PRIMARY SCHOOL AND IN TEACHER TRAINING IN BRAZIL

2020 ◽  
Vol 24 ◽  
Author(s):  
Wagner Rodrigues Valente ◽  
Maria Célia Leme da Silva
Keyword(s):  
Mathematics Education ◽  
Teacher Training ◽  
Primary School ◽  
Mathematics Teaching ◽  
History Of Mathematics ◽  
Theoretical Hypothesis ◽  
Disciplinary Field ◽  
History Of ◽  
The 19Th Century ◽  
The Relationship

Abstract This article discusses results from research developed on the transformations in mathematics teaching in primary school and the mathematics in teacher training from the 19th century to the mid-20th century in Brazil. We have analyzed the understanding of the relationship between the mathematical disciplinary field and pedagogy in order to confirm the theoretical hypothesis that the interactions between the two fields produce mathematics of different natures, which are interconnected.

scholarly journals COMPLEMENTARY EDUCATION SPACES OF VENEZUELAN MATHEMATICS EDUCATORS. CASE: VENEZUELAN SCHOOL FOR THE TEACHING OF MATHEMATICS - EVEM

2020 ◽  
Vol 24 ◽  
Author(s):  
Cinthia del Carmen Humbría Burgos ◽  
Fredy Enrique González
Keyword(s):  
Mathematics Education ◽  
Qualitative Study ◽  
Social History ◽  
Mathematics Teaching ◽  
Scientific Field ◽  
Epistemology Of Science ◽  
Complementary Education ◽  
Mathematics Educators ◽  
Teaching Of Mathematics ◽  
Teaching Learning

ABSTRACT Qualitative study on mathematical educators complementary education spaces, considering the Venezuelan School for Mathematics Teaching. Referents: Social history (Bernal); Epistemology of Science (Toulmin); Scientific Field (Bourdieu); Systemic vision of Mathematics Education in Venezuela (Beyer). Finding: EFC-EMVs are dialogic, interdisciplinary, generate knowledge about teaching-learning of mathematics, for the Venezuelan educational reality.

scholarly journals Um cenário de estudos envolvendo o ensino de Matemática através da Resolução de Problemas em periódicosA study scenario involving the teaching of mathematics through problem solving in journals

2020 ◽  
Vol 22 (2) ◽  
pp. 252-280
Author(s):  
Kaique Nascimento Martins ◽  
Jamille Vilas Bôas
Keyword(s):  
Mathematics Education ◽  
Problem Solving ◽  
Mathematics Teaching ◽  
Teaching And Learning ◽  
The State ◽  
University Education ◽  
Teaching Mathematics ◽  
Mathematics Teaching And Learning ◽  
Teaching Of Mathematics

ResumoO presente estudo é uma pesquisa bibliográfica inspirada no Estado do Conhecimento, tendo como objetivo compreender focos temáticos nas produções acadêmicas que utilizam/abordam o ensino de matemática através da resolução de problemas. Para tanto, realizou-se um mapeamento das produções acadêmicas publicadas nos periódicos: BOLEMA, Boletim GEPEM, Zetetiké, Educação Matemática em Revista e Educação Matemática Pesquisa, entre janeiro de 2011 e junho de 2019. De um modo geral, percebemos uma variedade de estudos contendo diferentes perspectivas discutidas e abordadas tanto na educação básica quanto no ensino superior.  A partir deste trabalho, é possível ampliar o entendimento sobre a temática, fortalecendo a ideia de que esta pode potencializar o processo de ensino e aprendizagem de matemática.Palavras-chave: Resolução de problemas, Mapeamento, Educação matemática.AbstractThe present study is a bibliographic research inspired by the state of knowledge, aiming to understand thematic focuses on academic productions that use/approach teaching mathematics through problem-solving. For this purpose, we mapped the academic productions published in journals: BOLEMA, Boletim GEPEM, Zetetiké, Educação Matemática em Revista, and Educação Matemática Pesquisa, published between January 2011 and June 2019. We noticed a variety of studies containing different perspectives discussed and addressed both in basic and university education. From this work, it is possible to broaden the understanding of the theme, strengthening the idea that it can enhance the mathematics teaching and learning process.Keywords: Problem solving, Mapping, Mathematics education. ResumenEl presente estudio es una investigación bibliográfica inspirada en el estado del conocimiento, con el objetivo de comprender enfoques temáticos sobre producciones académicas que utilizan/abordan la enseñanza de las matemáticas a través de la resolución de problemas. Para ello, mapeamos las producciones académicas publicadas en las revistas: BOLEMA, Boletim GEPEM, Zetetiké, Educação Matemática em Revista y Educação Matemática Pesquisa, publicadas entre enero de 2011 y junio de 2019. Notamos una variedad de estudios que contienen diferentes perspectivas discutidas y abordadas tanto en educación básica como en educación universitaria. A partir de este trabajo, es posible ampliar la comprensión del tema, fortaleciendo la idea de que puede potenciar el proceso de enseñanza y aprendizaje de las matemáticas.Palabras clave: Resolución de problemas, Mapeo, Educación matemática.

The Emergence of Social Presence in Learning Communities

2010 ◽  
pp. 22-38
Author(s):  
Antônio Carlos Soares Martins ◽  
Junia de Carvalho Fidelis Braga
Keyword(s):  
Online Learning ◽  
Learning Communities ◽  
Learning Environments ◽  
Complexity Theory ◽  
Social Presence ◽  
Graduate Program ◽  
Empirical Studies ◽  
Human And Social Sciences ◽  
Community Of Inquiry Framework

The discussions presented herein emerged from two empirical studies in progress:“Online Learning Communities in the Realm of Complexity” and “The Complexity of Learning Environments” in the Graduate Program in Applied Linguistics at Universidade Federal de Minas Gerais, Brazil. One of the major pillars of both studies centers around Complexity Theory. Initially arising from the natural sciences, Complexity Theory has been gaining ground in the comprehension of human and social sciences. This chapter presents some ideas regarding the role of social presence in both blended and online learning environments, in line with the Community of Inquiry Framework (Garrison, Anderson, & Archer, 2000). Moreover, the authors hope to contribute to a better understanding of patterns that emerge from social interactions as well as of the ideas embedded in learning communities as complex systems.

Team Effectiveness in Virtual Environments

2008 ◽  
pp. 1498-1515
Author(s):  
Pnina Shachaf ◽  
N. Hara
Keyword(s):  
Learning Environments ◽  
Team Effectiveness ◽  
Empirical Studies ◽  
External Environment ◽  
Virtual Team ◽  
Ecological Approach ◽  
Internal Environment ◽  
Normative Model ◽  
Process Output ◽  
Pedagogical Approaches

This chapter attempts to address the need for more research on virtual team effectiveness and outlines an ecological theoretical framework that is applicable to virtual learning environments (VLE).  Prior empirical studies on virtual team effectiveness used frameworks of traditional team effectiveness and mainly followed Hackman’s normative model (input-process-output). We propose an ecological approach for virtual team effectiveness that accounts for team boundaries management, technologyuse, and external environment in VLE, properties which were previously either nonexistent or contextual.   The ecological framework suggests that three components — external environment, internal environment, and boundary management — reciprocally interact with effectiveness.   The significance of the proposed framework is a holistic perspective that takes into account the complexity of the external and internal environment of the team. Furthermore, we address the needs for new pedagogical approaches in VLE.

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