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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.
Teaching --- Didactics of mathematics --- didactiek --- onderwijs --- studeren --- opvoeding --- wiskunde --- account management --- lesgeven --- Mathematics—Study and teaching . --- Mathematics Education. --- Mathematics --- Study and teaching.
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Mathematics --- Study and teaching --- Mathématiques --- Enseignement des mathématiques. --- Étude et enseignement --- Study and teaching. --- Mathematical Sciences --- General and Others --- Didactics of mathematics --- Instruction and study --- wiskunde --- Education --- Mathematics - Study and teaching - Periodicals --- Ensenyament de la matemàtica --- Ensenyament de la matemàtica.
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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.
Sociology of education --- Educational psychology --- Teaching --- Didactics of mathematics --- pedagogische psychologie --- didactiek --- onderwijs --- studeren --- opvoeding --- wiskunde --- account management --- lesgeven --- Mathematics—Study and teaching . --- Educational psychology. --- Education—Psychology. --- Mathematics Education. --- Educational Psychology. --- Mathematics --- Study and teaching.
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This survey provides an overview of German meta-discourse on theories and mathematics education as a scientific discipline, from the 1970s to the 1990s. Two theory strands are offered: a semiotic view related to Peirce and Wittgenstein (presented by Willibald Dörfler), and the theory of learning activity by Joachim Lompscher (presented by Regina Bruder and Oliver Schmitt). By networking the two theoretical approaches in a case study of learning fractions, it clarifies the nature of the two theories, how they can be related to inform practice and renew TME-issues for mathematics education as a scientific discipline. Hans-Georg Steiner initiated the first of five international conferences on Theories of Mathematics Education (TME) to advance the founding of mathematics education as a scientific discipline, and subsequently German researchers have continued to focus on TME topics but within various theory strands.
Semiotics --- Didactics --- Teaching --- Didactics of mathematics --- didactiek --- onderwijs --- semiotiek --- studeren --- opvoeding --- wiskunde --- account management --- lesgeven --- Mathematics—Study and teaching . --- Learning. --- Instruction. --- Semiotics. --- Mathematics Education. --- Learning & Instruction. --- Mathematics --- Learning, Psychology of. --- Instructional Psychology. --- Study and teaching.
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This book discusses the learning and teaching of geometry, with a special focus on kindergarten and primary education. It examines important new trends and developments in research and practice, and emphasizes theoretical, empirical and developmental issues. Further, it discusses various topics, including curriculum studies and implementation, spatial abilities and geometric reasoning, as well as the psychological roots of geometrical thinking and teacher preparation in geometry education. It considers these issues from historical, epistemological, cognitive semiotic and educational points of view in the context of students' difficulties and the design of teaching and curricula.
Didactics --- Teaching --- Didactics of mathematics --- didactiek --- onderwijs --- studeren --- opvoeding --- wiskunde --- account management --- lesgeven --- Mathematics—Study and teaching . --- Learning. --- Instruction. --- Mathematics Education. --- Learning & Instruction. --- Mathematics --- Learning, Psychology of. --- Instructional Psychology. --- Study and teaching.
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This volume shares and discusses significant new trends and developments in research and practices related to various aspects of preparing prospective secondary mathematics teachers from 2005–2015. It provides both an overview of the current state-of-the-art and outstanding recent research reports from an international perspective. The authors completed a thorough review of the literature by examining major journals in the field of mathematics education, and other journals related to teacher education and technology. The systematic review includes four major themes: field experiences; technologies, tools and resources; teachers' knowledge; and teachers' professional identities. Each of them is presented regarding theoretical perspectives, methodologies, and major findings. Then the authors discuss what is known in the field and what we still need to know related to the major topics.
Teacher education. Teacher's profession --- Didactics of mathematics --- Mathematics --- didactiek --- wiskunde --- lerarenopleiding --- lesgeven --- Mathematics—Study and teaching . --- Teaching. --- Mathematics Education. --- Teaching and Teacher Education. --- Teachers --- Study and teaching. --- Training of.
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This book is about promising research advancements that sparked directly or indirectly from intellectual contributions by distinguished internationally recognized mathematics educator and researcher, Edward A. Silver. The features of this book include: A focus on the research areas that have benefited from Dr. Silver’s intellectual contributions and influence, such as designing instructional tasks, problem posing, problem solving, preservice teacher learning, in service teacher professional development, and mathematics assessment Chapters written by contributors who at one time were his doctoral or post-doctoral colleagues along with any invited co-authors A brief bio of Dr. Silver showing his intellectual journey, key milestones in his career, and scholarly accomplishments that sparked from his intellectual contributions.
Science --- Teaching --- Didactics of mathematics --- didactiek --- onderzoeksmethoden --- wiskunde --- Mathematics—Study and teaching. --- Education—Research. --- Mathematics Education. --- Research Methods in Education. --- Educational Research. --- Ensenyament de la matemàtica --- Mathematics --- Education --- Study and teaching. --- Research.
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This survey on the modernity of ethnomathematics addresses numerous themes related to both ethnomathematics and mathematics education. It offers a broader view of mathematics, including ideas, procedures, concepts, processes, methods, and practices rooted in distinct cultural environments. In addition, by reflecting on the social and political dimensions of ethnomathematics, another important aspect of this research program is the development of innovative approaches for a dynamic and glocalized society. Ethnomathematics recognizes that members of different cultures develop unique mathematical techniques, methods, and explanations that allow for an alternative understanding and transformation of societal norms. The theoretical basis of ethnomathematics offers a valid alternative to traditional studies of history, philosophy, cognition, and pedagogical aspects of mathematics. The current agenda for ethnomathematics is to continue an ongoing, progressive trajectory that contributes to the achievement of social justice, peace, and dignity for all. The debates outlined in this book share a few of the key ideas that provide for a clearer understanding of the field of ethnomathematics and its current state of the art by discussing its pedagogical actions, its contributions for teacher education, and its role in mathematics education.
Teacher education. Teacher's profession --- Didactics --- Teaching --- Didactics of mathematics --- didactiek --- onderwijs --- studeren --- opvoeding --- wiskunde --- account management --- lerarenopleiding --- lesgeven --- Mathematics—Study and teaching . --- Learning. --- Instruction. --- Teaching. --- Mathematics Education. --- Learning & Instruction. --- Teaching and Teacher Education. --- Mathematics --- Learning, Psychology of. --- Teachers --- Instructional Psychology. --- Study and teaching. --- Training of.
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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.
Teacher education. Teacher's profession --- Didactics --- Teaching --- Didactics of mathematics --- didactiek --- onderwijs --- studeren --- opvoeding --- wiskunde --- account management --- lerarenopleiding --- lesgeven --- Mathematics—Study and teaching . --- Teaching. --- Learning. --- Instruction. --- Mathematics Education. --- Teaching and Teacher Education. --- Learning & Instruction. --- Mathematics --- Teachers --- Learning, Psychology of. --- Instructional Psychology. --- Study and teaching. --- Training of.
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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 mathematicseducation.
Teacher education. Teacher's profession --- Didactics --- Teaching --- Didactics of mathematics --- didactiek --- onderwijs --- studeren --- opvoeding --- wiskunde --- account management --- lerarenopleiding --- lesgeven --- Mathematics—Study and teaching . --- Teaching. --- Learning. --- Instruction. --- Mathematics Education. --- Teaching and Teacher Education. --- Learning & Instruction. --- Mathematics --- Teachers --- Learning, Psychology of. --- Instructional Psychology. --- Study and teaching. --- Training of.
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