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Semiotics in Mathematics Education

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Book Series: ICME-13 Topical Surveys ISSN: 2366-5947 ISBN: 9783319313696 9783319313702 Year: Pages: 40 DOI: 10.1007/978-3-319-31370-2 Language: English
Publisher: Springer
Subject: Education
Added to DOAB on : 2017-02-15 18:31:20
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This volume discusses semiotics in mathematics education as an activity with a formal sign system, in which each sign represents something else. Theories presented by Saussure, Peirce, Vygotsky and other writers on semiotics are summarized in their relevance to the teaching and learning of mathematics. The significance of signs for mathematics education lies in their ubiquitous use in every branch of mathematics. Such use involves seeing the general in the particular, a process that is not always clear to learners. Therefore, in several traditional frameworks, semiotics has the potential to serve as a powerful conceptual lens in investigating diverse topics in mathematics education research. Topics that are implicated include (but are not limited to): the birth of signs; embodiment, gestures and artifacts; segmentation and communicative fields; cultural mediation; social semiotics; linguistic theories; chains of signification; semiotic bundles; relationships among various sign systems; intersubjectivity; diagrammatic and inferential reasoning; and semiotics as the focus of innovative learning and teaching materials.

Attitudes, Beliefs, Motivation and Identity in Mathematics Education: An Overview of the Field and Future Directions

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Book Series: ICME-13 Topical Surveys ISSN: 2366-5947 ISBN: 9783319328102 9783319328119 Year: Pages: 35 DOI: 10.1007/978-3-319-32811-9 Language: English
Publisher: Springer
Subject: Education --- Mathematics
Added to DOAB on : 2017-01-24 17:45:37
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This book records the state of the art in research on mathematics-related affect. It discusses the concepts and theories of mathematics-related affect along the lines of three dimensions. The first dimension identifies three broad categories of affect: motivation, emotions, and beliefs. The book contains one chapter on motivation, including discussions on how emotions and beliefs relate to motivation. There are two chapters that focus on beliefs and a chapter on attitude which cross-cuts through all these categories. The second dimension covers a rapidly fluctuating state to a more stable trait. All chapters in the book focus on trait-type affect and the chapter on motivation discusses both these dimensions. The third dimension regards the three main levels of theorizing: physiological (embodied), psychological (individual) and social. All chapters reflect that mathematics-related affect has mainly been studied using psychological theories.

Teaching and Learning of Calculus

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Book Series: ICME-13 Topical Surveys ISSN: 2366-5947 ISBN: 9783319329741 9783319329758 Year: Pages: 37 DOI: 10.1007/978-3-319-32975-8 Language: English
Publisher: Springer
Subject: Education --- Mathematics
Added to DOAB on : 2017-01-24 17:52:35
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This survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the most important references on this topic is included. Since the diversity of the research in the field makes it difficult to produce an exhaustive state-of-the-art summary, the authors discuss recent developments that go beyond this survey and put forward new research questions.

Uses of Technology in Lower Secondary Mathematics Education: A Concise Topical Survey

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Book Series: ICME-13 Topical Surveys ISSN: 2366-5947 ISBN: 9783319336657 9783319336664 Year: DOI: 10.1007/978-3-319-33666-4 Language: English
Publisher: Springer
Subject: Mathematics --- Education
Added to DOAB on : 2017-01-24 17:55:15
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This topical survey provides an overview of the current state of the art in technology use in mathematics education, including both practice-oriented experiences and research-based evidence, as seen from an international perspective. Three core themes are discussed: Evidence of effectiveness; Digital assessment; and Communication and collaboration.The survey’s final section offers suggestions for future trends in technology-rich mathematics education and provides a research agenda reflecting those trends. Predicting what lower secondary mathematics education might look like in 2025 with respect to the role of digital tools in curricula, teaching and learning, it examines the question of how teachers can integrate physical and virtual experiences to promote a deeper understanding of mathematics.The issues and findings presented here provide an overview of current research and offer a glimpse into a potential future characterized by the effective integration of technology to support mathematics teaching and learning at the lower secondary level.

Empirical Research in Statistics Education

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Book Series: ICME-13 Topical Surveys ISSN: 2366-5947 ISBN: 9783319389677 9783319389684 Year: Pages: 37 DOI: 10.1007/978-3-319-38968-4 Language: English
Publisher: Springer
Subject: Statistics --- Education --- Mathematics
Added to DOAB on : 2017-01-24 18:03:53
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This ICME-13 Topical Survey provides a review of recent research into statistics education, with a focus on empirical research published in established educational journals and on the proceedings of important conferences on statistics education. It identifies and addresses six key research topics, namely: teachers’ knowledge; teachers’ role in statistics education; teacher preparation; students’ knowledge; students’ role in statistics education; and how students learn statistics with the help of technology. For each topic, the survey builds upon existing reviews, complementing them with the latest research.

Transitions in Mathematics Education

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Book Series: ICME-13 Topical Surveys ISSN: 2366-5947 ISBN: 9783319316215 9783319316222 Year: Pages: 34 DOI: 10.1007/978-3-319-31622-2 Language: English
Publisher: Springer
Subject: Education --- Mathematics
Added to DOAB on : 2017-01-30 17:46:53
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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.

Assessment in Mathematics Education: Large-Scale Assessment and Classroom Assessment

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Book Series: ICME-13 Topical Surveys ISSN: 2366-5947 ISBN: 9783319323930 9783319323947 Year: Pages: 38 DOI: 10.1007/978-3-319-32394-7 Language: English
Publisher: Springer
Subject: Mathematics --- Education
Added to DOAB on : 2017-01-30 17:50:18
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This book provides an overview of current research on a variety of topics related to both large-scale and classroom assessment. First, the purposes, traditions and principles of assessment are considered, with particular attention to those common to all levels of assessment and those more connected with either classroom or large-scale assessment. Assessment design based on sound assessment principles is discussed, differentiating between large-scale and classroom assessment, but also examining how the design principles overlap. The focus then shifts to classroom assessment and provides specific examples of assessment strategies, before examining the impact of large-scale assessment on curriculum, policy, instruction, and classroom assessment. The book concludes by discussing the challenges that teachers currently face, as well as ways to support them.The book offers a common language for researchers in assessment, as well as a primer for those interested in understanding current work in the area of assessment. In summary, it provides the opportunity to discuss large-scale and classroom assessment by addressing the following main themes:·Purposes, Traditions and Principles of Assessment·Design of Assessment Tasks·Classroom Assessment in Action·Interactions of Large-Scale and Classroom Assessment·Enhancing Sound Assessment Knowledge and PracticesIt also suggests areas for future research in assessment in mathematics education.

Early Algebra: Research into its Nature, its Learning, its Teaching

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Book Series: ICME-13 Topical Surveys ISSN: 2366-5947 ISBN: 9783319322575 9783319322582 Year: Pages: 42 DOI: 10.1007/978-3-319-32258-2 Language: English
Publisher: Springer
Subject: Mathematics --- Education
Added to DOAB on : 2017-01-30 17:53:39
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This survey of the state of the art on research in early algebra traces the evolution of a relatively new field of research and teaching practice. With its focus on the younger student, aged from about 6 years up to 12 years, this volume reveals the nature of the research that has been carried out in early algebra and how it has shaped the growth of the field. The survey, in presenting examples drawn from the steadily growing research base, highlights both the nature of algebraic thinking and the ways in which this thinking is being developed in the primary and early middle school student. Mathematical relations, patterns, and arithmetical structures lie at the heart of early algebraic activity, with processes such as noticing, conjecturing, generalizing, representing, justifying, and communicating being central to students’ engagement.

Interdisciplinary Mathematics Education

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Book Series: ICME-13 Topical Surveys ISSN: 2366-5947 ISBN: 9783319422664 9783319422671 Year: Pages: 36 DOI: 10.1007/978-3-319-42267-1 Language: English
Publisher: Springer
Subject: Education --- Mathematics
Added to DOAB on : 2017-02-03 18:15:42
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This book provides an essential introduction to the state-of the-art in interdisciplinary Mathematics Education. First, it begins with an outline of the field’s relevant historical, conceptual and theoretical backgrounds, what “discipline” means and how inter-, trans-, and meta-disciplinary activities can be understood. Relevant theoretical perspectives from Marx, Foucault and Vygotsky are explained, along with key ideas in theory, e.g. boundaries, discourses, identity, and the division of labour in practice. Second, the book reviews research findings of mainly empirical studies on interdisciplinary work involving mathematics in education, in all stages of education that have become disciplined. For example, it reports that a common theme in studies in middle and high schools is assessing the motivational benefits for the learner of subsuming disciplinary motives and even practices to extra-academic problem-solving activities; this is counter-balanced by the effort needed to overcome the disciplinary boundaries in academic institutions, and in professional identities. These disciplinary boundaries are less obviously limitations in middle and primary schools, and in some vocational courses. Third and finally, it explores selected case studies that illustrate these concepts and findings, both in terms of the motivational benefits for learners and the institutional and other boundaries involved.

History of Mathematics Teaching and Learning

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Book Series: ICME-13 Topical Surveys ISSN: 2366-5947 ISBN: 9783319316154 9783319316161 Year: Pages: 40 DOI: 10.1007/978-3-319-31616-1 Language: English
Publisher: Springer
Subject: Mathematics --- Education
Added to DOAB on : 2017-02-03 18:21:36
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This work examines the main directions of research conducted on the history of mathematics education. It devotes substantial attention to research methodologies and the connections between this field and other scholarly fields. The results of a survey about academic literature on this subject are accompanied by a discussion of what has yet to be done and problems that remain unsolved. The main topics you will find in “ICME-13 Topical Survey” include: • Discussions of methodological issues in the history of mathematics education and of the relation between this field and other scholarly fields.• The history of the formation and transformation of curricula and textbooks as a reflection of trends in social-economic, cultural and scientific-technological development.• The influence of politics, ideology and economics on the development of mathematics education, from a historical perspective.• The history of the preeminent mathematics education organizations and the work of leading figures in mathematics education.• Mathematics education practices and tools and the preparation of mathematics teachers, from a historical perspective.

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