Transformation A Fundamental Idea Of Mathematics Education

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Transformation - A Fundamental Idea of Mathematics Education

Author : Sebastian Rezat,Mathias Hattermann,Andrea Peter-Koop
Publisher : Springer Science & Business Media
Page : 409 pages
File Size : 45,9 Mb
Release : 2013-12-13
Category : Education
ISBN : 9781461434894

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Transformation - A Fundamental Idea of Mathematics Education by Sebastian Rezat,Mathias Hattermann,Andrea Peter-Koop Pdf

The diversity of research domains and theories in the field of mathematics education has been a permanent subject of discussions from the origins of the discipline up to the present. On the one hand the diversity is regarded as a resource for rich scientific development on the other hand it gives rise to the often repeated criticism of the discipline’s lack of focus and identity. As one way of focusing on core issues of the discipline the book seeks to open up a discussion about fundamental ideas in the field of mathematics education that permeate different research domains and perspectives. The book addresses transformation as one fundamental idea in mathematics education and examines it from different perspectives. Transformations are related to knowledge, related to signs and representations of mathematics, related to concepts and ideas, and related to instruments for the learning of mathematics. The book seeks to answer the following questions: What do we know about transformations in the different domains? What kinds of transformations are crucial? How is transformation in each case conceptualized?

Proceedings of the 13th International Congress on Mathematical Education

Author : Gabriele Kaiser
Publisher : Springer
Page : 766 pages
File Size : 51,5 Mb
Release : 2017-10-31
Category : Education
ISBN : 9783319625973

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Proceedings of the 13th International Congress on Mathematical Education by Gabriele Kaiser Pdf

This book is open access under a CC BY 4.0 license. The book presents the Proceedings of the 13th International Congress on Mathematical Education (ICME-13) and is based on the presentations given at the 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 brought together about 3.500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. Directly before the congress activities were offered for 450 Early Career Researchers. The proceedings give a comprehensive overview on the current state-of-the-art of the discussions on mathematics education and display the breadth and deepness of current research on mathematical teaching-and-learning processes. The book introduces the major activities of ICME-13, namely articles from the four plenary lecturers and two plenary panels, articles from the five ICMI awardees, reports from six national presentations, three reports from the thematic afternoon devoted to specific features of ICME-13. Furthermore, the proceedings contain descriptions of the 54 Topic Study Groups, which formed the heart of the congress and reports from 29 Discussion Groups and 31 Workshops. The additional important activities of ICME-13, namely papers from the invited lecturers, will be presented in the second volume of the proceedings.

The Post-pandemic Landscape of Education and Beyond: Innovation and Transformation

Author : Anna Wing Bo TSO,Steven Kwan Keung NG,Locky Law,Tiffany Shurui BAI
Publisher : Springer Nature
Page : 316 pages
File Size : 50,9 Mb
Release : 2023-02-01
Category : Education
ISBN : 9789811992179

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The Post-pandemic Landscape of Education and Beyond: Innovation and Transformation by Anna Wing Bo TSO,Steven Kwan Keung NG,Locky Law,Tiffany Shurui BAI Pdf

With the purpose of exploring the critical possibilities offered by the global crisis of coronavirus pandemic, this volume presents the collected works of scholars, educators and practitioners worldwide, bringing to the readers a broad array of perspectives on how COVID-19 inspires us to rethink, redefine, and make sense of the theoretical and pedagogical approaches that can be applied in various educational contexts. Part One of the book provides an insightful exploration of the technology-mediated innovations used in English language learning and teaching. Part Two reflects on the online learning experiences of students, as well as the teachers’ strategies to cope with changes as the COVID-19 pandemic unleashed unprecedented disruptions in class. Part Three looks into a range of case studies regarding the digital divide, cross-border schooling, cyberbullying, and cross-disciplinary skill training in the post-pandemic workplace, highlighting the importance of creating a positive learning environment. Part Four draws on the observations and experiences of frontline teachers, to examine ways to optimize the digital learning experiences of students in and outside the classroom. This volume will be a useful reference for scholars in Education, Communication, Applied Linguistics, Social Work, and Positive Psychology.

Digital Technologies in Designing Mathematics Education Tasks

Author : Allen Leung,Anna Baccaglini-Frank
Publisher : Springer
Page : 352 pages
File Size : 46,8 Mb
Release : 2016-10-12
Category : Education
ISBN : 9783319434230

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Digital Technologies in Designing Mathematics Education Tasks by Allen Leung,Anna Baccaglini-Frank Pdf

This book is about the role and potential of using digital technology in designing teaching and learning tasks in the mathematics classroom. Digital technology has opened up different new educational spaces for the mathematics classroom in the past few decades and, as technology is constantly evolving, novel ideas and approaches are brewing to enrich these spaces with diverse didactical flavors. A key issue is always how technology can, or cannot, play epistemic and pedagogic roles in the mathematics classroom. The main purpose of this book is to explore mathematics task design when digital technology is part of the teaching and learning environment. What features of the technology used can be capitalized upon to design tasks that transform learners’ experiential knowledge, gained from using the technology, into conceptual mathematical knowledge? When do digital environments actually bring an essential (educationally, speaking) new dimension to classroom activities? What are some pragmatic and semiotic values of the technology used? These are some of the concerns addressed in the book by expert scholars in this area of research in mathematics education. This volume is the first devoted entirely to issues on designing mathematical tasks in digital teaching and learning environments, outlining different current research scenarios.

Signs of Signification

Author : Norma Presmeg,Luis Radford,Wolff-Michael Roth,Gert Kadunz
Publisher : Springer
Page : 368 pages
File Size : 49,9 Mb
Release : 2018-01-23
Category : Education
ISBN : 9783319702872

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Signs of Signification by Norma Presmeg,Luis Radford,Wolff-Michael Roth,Gert Kadunz Pdf

This book discusses a significant area of mathematics education research in the last two decades and presents the types of semiotic theories that are employed in mathematics education. Following on the summary of significant issues presented in the Topical Survey, Semiotics in Mathematics Education, this book not only introduces readers to semiotics as the science of signs, but it also elaborates on issues that were highlighted in the Topical Survey. In addition to an introduction and a closing chapter, it presents 17 chapters based on presentations from Topic Study Group 54 at the ICME-13 (13th International Congress on Mathematical Education). The chapters are divided into four major sections, each of which has a distinct focus. After a brief introduction, each section starts with a chapter or chapters of a theoretical nature, followed by others that highlight the significance and usefulness of the relevant theory in empirical research.

Visual-spatial Ability in STEM Education

Author : Myint Swe Khine
Publisher : Springer
Page : 263 pages
File Size : 41,9 Mb
Release : 2016-10-13
Category : Education
ISBN : 9783319443850

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Visual-spatial Ability in STEM Education by Myint Swe Khine Pdf

Each chapter in this book makes a unique contribution to the body of the literature and enhances the understanding of spatial ability and its influence on learning in the STEM disciplines. It addresses spatial abilities, ways to measure them as well as their impact and how they can affect learning subjects in scientific, technology and engineering domains. The volume deliberately covers a wide range perspectives from cognitive psychology, educational psychology, science, technology, engineering and mathematics, computer science, information technology disciplines to human development. Taking a broad view on the topic, chapters in the book discuss how to define spatial ability and its factors, the measurement of spatial ability and psychometric analyses, and educational strategies to improve spatial skills and their implications for science and technology education. The book thus provides an overview of current thinking about visual-spatial ability, spatial reasoning, and spatial skills.

Transitions in Mathematics Education

Author : Ghislaine Gueudet,Marianna Bosch,Andrea A. diSessa,Oh Nam Kwon,Lieven Verschaffel
Publisher : Springer
Page : 34 pages
File Size : 40,6 Mb
Release : 2016-07-07
Category : Education
ISBN : 9783319316222

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Transitions in Mathematics Education by Ghislaine Gueudet,Marianna Bosch,Andrea A. diSessa,Oh Nam Kwon,Lieven Verschaffel Pdf

This book examines the kinds of transitions that have been studied in mathematics education research. It defines transition as a process of change, and describes learning in an educational context as a transition process. The book focuses on research in the area of mathematics education, and starts out with a literature review, describing the epistemological, cognitive, institutional and sociocultural perspectives on transition. It then looks at the research questions posed in the studies and their link with transition, and examines the theoretical approaches and methods used. It explores whether the research conducted has led to the identification of continuous processes, successive steps, or discontinuities. It answers the question of whether there are difficulties attached to the discontinuities identified, and if so, whether the research proposes means to reduce the gap – to create a transition. The book concludes with directions for future research on transitions in mathematics education.

Approaches to Qualitative Research in Mathematics Education

Author : Angelika Bikner-Ahsbahs,Christine Knipping,Norma Presmeg
Publisher : Springer
Page : 592 pages
File Size : 54,9 Mb
Release : 2014-11-26
Category : Education
ISBN : 9789401791816

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Approaches to Qualitative Research in Mathematics Education by Angelika Bikner-Ahsbahs,Christine Knipping,Norma Presmeg Pdf

This volume documents a range of qualitative research approaches emerged within mathematics education over the last three decades, whilst at the same time revealing their underlying methodologies. Continuing the discussion as begun in the two 2003 ZDM issues dedicated to qualitative empirical methods, this book presents astate of the art overview on qualitative research in mathematics education and beyond. The structure of the book allows the reader to use it as an actual guide for the selection of an appropriate methodology, on a basis of both theoretical depth and practical implications. The methods and examples illustrate how different methodologies come to life when applied to a specific question in a specific context. Many of the methodologies described are also applicable outside mathematics education, but the examples provided are chosen so as to situate the approach in a mathematical context.

Mathematics and Technology

Author : Gilles Aldon,Fernando Hitt,Luciana Bazzini,Uwe Gellert
Publisher : Springer
Page : 693 pages
File Size : 55,5 Mb
Release : 2017-04-05
Category : Education
ISBN : 9783319513805

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Mathematics and Technology by Gilles Aldon,Fernando Hitt,Luciana Bazzini,Uwe Gellert Pdf

This volume collects most recent work on the role of technology in mathematics education. It offers fresh insight and understanding of the many ways in which technological resources can improve the teaching and learning of mathematics. The first section of the volume focuses on the question how a proposed mathematical task in a technological environment can influence the acquisition of knowledge and what elements are important to retain in the design of mathematical tasks in computing environments. The use of white smart boards, platforms as Moodle, tablets and smartphones have transformed the way we communicate both inside and outside the mathematics classroom. Therefore the second section discussed how to make efficient use of these resources in the classroom and beyond. The third section addresses how technology modifies the way information is transmitted and how mathematical education has to take into account the new ways of learning through connected networks as well as new ways of teaching. The last section is on the training of teachers in the digital era. The editors of this volume have selected papers from the proceedings of the 65th, 66th and 67th CIEAEM conference, and invited the correspondent authors to contribute to this volume by discussing one of the four important topics. The book continues a series of sourcebooks edited by CIEAEM, the Commission Internationale pour l’Étude et l’Amélioration de l’Enseignement des Mathématiques / International Commission for the Study and Improvement of Mathematics Education.

Uses of Technology in Upper Secondary Mathematics Education

Author : Stephen Hegedus,Colette Laborde,Corey Brady,Sara Dalton,Hans-Stefan Siller,Michal Tabach,Jana Trgalova,Luis Moreno-Armella
Publisher : Springer
Page : 36 pages
File Size : 45,5 Mb
Release : 2016-11-02
Category : Education
ISBN : 9783319426112

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Uses of Technology in Upper Secondary Mathematics Education by Stephen Hegedus,Colette Laborde,Corey Brady,Sara Dalton,Hans-Stefan Siller,Michal Tabach,Jana Trgalova,Luis Moreno-Armella Pdf

This survey addresses the use of technology in upper secondary mathematics education from four points of view: theoretical analysis of epistemological and cognitive aspects of activity in new technology mediated learning environments, the changes brought by technology in the interactions between environment, students and teachers, the interrelations between mathematical activities and technology, skills and competencies that must be developed in teacher education. Research shows that the use of some technologies may deeply change the solving processes and contribute to impact the learning processes. The questions are which technologies to choose for which purposes, and how to integrate them, so as to maximize all students’ agency. In particular the role of the teacher in classrooms and the content of teacher education programs are critical for taking full advantage of technology in teaching practice.

Transforming Children's Mathematics Education

Author : Leslie P. Steffe,Terry Wood
Publisher : Routledge
Page : 511 pages
File Size : 42,9 Mb
Release : 2013-11-05
Category : Education
ISBN : 9781136468773

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Transforming Children's Mathematics Education by Leslie P. Steffe,Terry Wood Pdf

Eminent scholars from around the globe gathered to discuss how educational systems would change if the prevailing principles of constructivism were applied to three major aspects of those systems -- knowledge and learning, communication, and environment. This volume provides documentation of the proceedings of this important meeting - - the Early Childhood Action Group of the Sixth International Congress on Mathematics Education. This international assembly, representing such diverse disciplines as mathematics and math education, epistemology, philosophy, cognitive science, psycholinguistics, and science education, is the first to examine early childhood mathematics education from constructivist and international perspectives in addition to formulating recommendations for future work in the field.

Broadening the Scope of Research on Mathematical Problem Solving

Author : Nélia Amado,Susana Carreira,Keith Jones
Publisher : Springer
Page : 579 pages
File Size : 55,6 Mb
Release : 2018-11-30
Category : Education
ISBN : 9783319998619

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Broadening the Scope of Research on Mathematical Problem Solving by Nélia Amado,Susana Carreira,Keith Jones Pdf

The innovative volume seeks to broaden the scope of research on mathematical problem solving in different educational environments. It brings together contributions not only from leading researchers, but also highlights collaborations with younger researchers to broadly explore mathematical problem-solving across many fields: mathematics education, psychology of education, technology education, mathematics popularization, and more. The volume’s three major themes—technology, creativity, and affect—represent key issues that are crucially embedded in the activity of problem solving in mathematics teaching and learning, both within the school setting and beyond the school. Through the book’s new pedagogical perspectives on these themes, it advances the field of research towards a more comprehensive approach on mathematical problem solving. Broadening the Scope of Research on Mathematical Problem Solving will prove to be a valuable resource for researchers and teachers interested in mathematical problem solving, as well as researchers and teachers interested in technology, creativity, and affect.

Psychological and Pedagogical Considerations in Digital Textbook Use and Development

Author : Railean, Elena
Publisher : IGI Global
Page : 295 pages
File Size : 44,8 Mb
Release : 2015-04-30
Category : Computers
ISBN : 9781466683013

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Psychological and Pedagogical Considerations in Digital Textbook Use and Development by Railean, Elena Pdf

"This book offers balanced coverage of the technological solutions that contribute to the design of digital textbooks and contribute to achieving learning objectives, offering an emphasis on assessment mechanisms and learning theory"--

State of the Art

Author : Carole B. Lacampagne
Publisher : Unknown
Page : 20 pages
File Size : 48,8 Mb
Release : 1993
Category : Government publications
ISBN : PURD:32754076263700

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State of the Art by Carole B. Lacampagne Pdf

The implementation of the National Council of Teachers of Mathematics'"Curriculum and Evaluation Standards for School Mathematics" implies fundamental shifts in the teaching and learning of mathematics. Intended for those individuals who will be instrumental in the implementation of those changes--teachers, administrators, and parents--this document presents 10 ideas for transforming mathematics teaching and learning based on research and successful practical experience: (1) All students can and must learn mathematics, which should serve as a "pump," not a "filter"; (2) Teachers need to listen to students and incorporate into their instruction what they learn from listening; (3) Students learn mathematics best when they construct their own mathematical understanding; (4) Students need to learn more and different types of mathematics; (5) Mathematical discussion should be a daily part of classroom activity; (6) Teachers need to become "informed guides" to the learner; (7) Calculators, computers, and related technology can be effective tools in the teaching and learning of mathematics; (8) Students need shared learning experiences; (9) Curricular and pedagogical change in mathematics cannot occur without accompanying change in student assessment; and (10) Lasting change takes broad support. (Contains 14 references.) (MDH)

Transforming Mathematics Instruction

Author : Yeping Li,Edward A. Silver,Shiqi Li
Publisher : Springer
Page : 581 pages
File Size : 44,6 Mb
Release : 2014-07-05
Category : Education
ISBN : 9783319049939

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Transforming Mathematics Instruction by Yeping Li,Edward A. Silver,Shiqi Li Pdf

This book surveys and examines different approaches and practices that contribute to the changes in mathematics instruction, including (1) innovative approaches that bring direct changes in classroom instructional practices, (2) curriculum reforms that introduce changes in content and requirements in classroom instruction, and (3) approaches in mathematics teacher education that aim to improve teachers’ expertise and practices. It also surveys relevant theory and methodology development in studying and assessing mathematics instruction. Classroom instruction is commonly seen as one of the key factors contributing to students’ learning of mathematics, but much remains to be understood about teachers’ instructional practices that lead to the development and enactment of effective classroom instruction, and approaches and practices developed and used to transform classroom instruction in different education systems. Transforming Mathematics Instruction is organized to help readers learn not only from reading individual chapters, but also from reading across chapters and sections to explore broader themes, including: - Identifying what is important in mathematics for teaching and learning emphasized in different approaches; - Exploring how students’ learning is considered and facilitated through different approaches and practices; - Understanding the nature of various approaches that are valued in different systems and cultural contexts; - Probing culturally valued approaches in identifying and evaluating effective instructional practices. The book brings new research and insights into multiple approaches and practices for transforming mathematics instruction to the international community of mathematics education, with 25 chapters and four section prefaces contributed by 56 scholars from 10 different education systems. This rich collection is indispensable reading for mathematics educators, researchers, teacher educators, curriculum developers, and graduate students interested in learning about different instructional practices, approaches for instructional transformation, and research in different education systems. It will help readers to reflect on approaches and practices that are useful for instructional changes in their own education systems, and also inspire them to identify and further explore new areas of research and program development in improving mathematics teaching and learning.