The Evolution Of Research On Teaching Mathematics

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The Evolution Of Research On Teaching Mathematics
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Author : Agida Manizade
language : en
Publisher: Springer Nature
Release Date : 2023-08-10
The Evolution Of Research On Teaching Mathematics written by Agida Manizade and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-10 with Education categories.
This open access book investigates current issues related to the evolution of research on teaching mathematics and examines up to thirty years of presage-process-product research (PPPR) in mathematics with respect to conceptualization, instrumentation, and design. The book discusses the theoretical and methodological challenges associated with PPPR, critically reviews current research, and explores the likely direction of further developments to identify future paths for research on high-quality mathematics teaching in the digital era. Subjects that are covered in this work focus on the relationships between 1) student learning outcomes measured upon completion of the mathematics teaching; 2) student learning activities in the classroom; 3) interactive mathematics teacher activities, and best practices in mathematics classrooms conducted in the presence of students; 4) pre-post-active mathematics teacher activities such as planning, assessment, and other teaching-related activities outside of the classroom; 5) mathematics teachers’ competencies, knowledge, and skills; and 6) mathematics teachers’ characteristics, including beliefs, attitudes, and motivation. This book discusses the evolution of such research in mathematics teaching and teacher education in the digital era and is of interest to researchers exploring the field of mathematics teaching and mathematics teacher education as well as educators.
Mathematics Education As A Research Domain
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Author : Anna Sierpinska
language : en
Publisher: Springer Science & Business Media
Release Date : 1998
Mathematics Education As A Research Domain written by Anna Sierpinska and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
I: The ICMI Study Conference.- Discussion Document.- List of Participants.- What is the Specific Object of Study in Mathematics Education? Report of Working Group 1.- What are the Aims of Research in Mathematics Education? Report of Working Group 2.- What are the Specific Research Questions or Problématiques of Research in Mathematics Education? Report of Working Group 3.- What are the Results of Research in Mathematics Education? Report of Working Group 4.- What Criteria Should Be Used to Evaluate the Results of Research in Mathematics Education? Report of Working Group 5.- Research, Effectiveness, and the Practitioners' World.- II: Mathematics Education as a Research Discipline.- A Glance Over the Evolution of Research in Mathematics Education.- Balancing Complex Human Worlds: Mathematics Education as an Emergent Discipline in its Own Right.- A Postmodern Perspective on Research in Mathematics Education.- Mathematics Education as a 'Design Science'.- What is Mathematics Education? A Survey of Mathematics Educators in Canada.- Programs for the Education of Researchers in Mathematics Education.- III: Goals, Orientations and Results of Research in Mathematics Education.- The Aims of Research.- Aiming Research Toward Understanding: Lessons We Can Learn From Children.- Transforming the International Mathematics Education Research Agenda.- Clarifying the Meaning of Mathematical Objects as a Priority Area for Research in Mathematics Education.- Research and Results in Mathematics Education: Some Contradictory Aspects.- Models in Mathematics Education Research: A Broader View of Research Results.- Towards a Cognitive Theory of Practice.
Early Algebra
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Author : Carolyn Kieran
language : en
Publisher: Springer
Release Date : 2016-07-11
Early Algebra written by Carolyn Kieran and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-11 with Education categories.
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.
Teaching Mathematics
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Author : Brent Davis
language : en
Publisher: Routledge
Release Date : 2013-02-01
Teaching Mathematics written by Brent Davis and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-01 with Education categories.
This book presents an approach to the teaching of mathematics that departs radically from conventional prescription-oriented and management-based methods. It brings together recent developments in such diverse fields as continental and pragmatist philosophy, enactivist thought, critical discourses, cognitive theory, evolution, ecology, and mathematics, and challenges the assumptions that permeate much of mathematics teaching. The discussion focuses on the language used to frame the role of the teacher and is developed around the commonsense distinctions drawn between thought and action, subject and object, individual and collective, fact and fiction, teacher and student, and classroom tasks and real life. The discussion also addresses the question of how mathematics teaching can be reformed to better suit current academic and social climates. Making use of the theoretical framework of enactivism, the book explores the subject through an account of a middle school teacher's appreciation and understanding of her role. Teaching mathematics, as both the report of this teacher's experience and the discussion make clear, demands an embracing of ambiguity, uncertainty, complexity, and moral responsibility. Courses for Adoption Education: Mathematics for Elementary Teachers, Methods for Teaching Elementary Schools, Methods for Teaching Secondary Schools, Curriculum Studies, Critical Pedagogy Special Features *Elucidates the importance and relationship between theory and practice. Employs reflective teaching techniques to focus students on their own learning, knowledge, and understanding of mathematics.Details a collaborative venture that traces the development of new thinking and insights about math teaching and learning. *A fine blending of theory with practice.
Research On Mathematics Textbooks And Teachers Resources
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Author : Lianghuo Fan
language : en
Publisher: Springer
Release Date : 2018-02-13
Research On Mathematics Textbooks And Teachers Resources written by Lianghuo Fan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-13 with Education categories.
This book focuses on issues related to mathematics teaching and learning resources, including mathematics textbooks, teacher guides, student learning and assessment materials, and online resources. The book highlights various theoretical and methodological approaches used to study teaching and learning resources, and addresses the areas of resources, teachers, and students at an international level. As for the resources, the book examines the role textbooks and other curricular or learning resources play in mathematics teaching, learning, and assessment. It asks questions such as: Could we consider different types of textbooks and roles they play in teaching and learning? How does the digitalization of information and communication affect these roles? What are defining features of e-textbooks, and how could we characterize the differences between the traditional textbooks and e-textbooks? As for the teachers, the book discusses the relationships between teachers’ individual and collective resources, and the way in which we could model such relationships. Specific questions addressed are: What is the role of teachers in developing textbooks and other teaching and learning materials? What are the relationships between resource designers and users? What are the consequences of these changing roles and relationships for the teaching of mathematics, and for teacher knowledge and professional development? As for the students, the book explores how students, as well as their teachers, interact through resources. It raises and addresses questions such as: What are the effects of modern ICT (particularly internet) on students’ use and the design of resources? How do changing patterns of use and design affect student behaviour, learning, and relationships to the subject of mathematics?
Mathematics Education
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Author : Khoon Yoong Wong
language : en
Publisher: World Scientific
Release Date : 2009
Mathematics Education written by Khoon Yoong Wong and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Education categories.
This title provides much food for thought and pointers to meet future challenges in mathematics education not only within Singapore, but also in other countries.
Mathematics Education And Technology Rethinking The Terrain
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Author : Celia Hoyles
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-09
Mathematics Education And Technology Rethinking The Terrain written by Celia Hoyles and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-09 with Education categories.
Mathematics Education and Technology-Rethinking the Terrain revisits the important 1985 ICMI Study on the influence of computers and informatics on mathematics and its teaching. The focus of this book, resulting from the seventeenth Study led by ICMI, is the use of digital technologies in mathematics teaching and learning in countries across the world. Specifically, it focuses on cultural diversity and how this diversity impinges on the use of digital technologies in mathematics teaching and learning. Within this focus, themes such as mathematics and mathematical practices; learning and assessing mathematics with and through digital technologies; teachers and teaching; design of learning environments and curricula; implementation of curricula and classroom practice; access, equity and socio-cultural issues; and connectivity and virtual networks for learning, serve to organize the study and bring it coherence. Providing a state-of-the-art view of the domain with regards to research, innovating practices and technological development, Mathematics Education and Technology-Rethinking the Terrain is of interest to researchers and all those interested in the role that digital technology plays in mathematics education.
The Role Of The History Of Mathematics In The Teaching Learning Process
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Author : Sixto Romero Sanchez
language : en
Publisher: Springer Nature
Release Date : 2023-06-15
The Role Of The History Of Mathematics In The Teaching Learning Process written by Sixto Romero Sanchez and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-15 with Education categories.
This volume presents multiple perspectives on the uses of the history of mathematics for teaching and learning, including the value of historical topics in challenging mathematics tasks, for provoking teachers’ reflection on the nature of mathematics, curriculum development questions that mirror earlier pedagogical choices in the history of mathematics education, and the history of technological innovations in the teaching and learning of mathematics. An ethnomathematical perspective on the history of mathematics challenges readers to appreciate the role of mathematics in perpetuating consequences of colonialism. Histories of the textbook and its uses offer interesting insights into how technology has changed the fundamental role of curriculum materials and classroom pedagogies. History is explored as a source for the training of teachers, for good puzzles and problems, and for a broad understanding of mathematics education policy. Third in a series of sourcebooks from the International Commission for the Study and Improvement of Mathematics Teaching, this collection of cutting-edge research, stories from the field, and policy implications is a contemporary and global perspective on current possibilities for the history of mathematics for mathematics education. This latest volume integrates discussions regarding history of mathematics, history of mathematics education and history of technology for education that have taken place at the Commission's recent annual conferences.
Second Handbook Of Research On Mathematics Teaching And Learning
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Author : Frank K. Lester
language : en
Publisher: IAP
Release Date : 2007-02-01
Second Handbook Of Research On Mathematics Teaching And Learning written by Frank K. Lester and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-01 with Education categories.
The audience remains much the same as for the 1992 Handbook, namely, mathematics education researchers and other scholars conducting work in mathematics education. This group includes college and university faculty, graduate students, investigators in research and development centers, and staff members at federal, state, and local agencies that conduct and use research within the discipline of mathematics. The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned above, the present Handbook contains chapters that should be relevant to four other groups: teacher educators, curriculum developers, state and national policy makers, and test developers and others involved with assessment. Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community.
Handbook Of Research On Mathematics Teaching And Learning
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Author : Douglas Grouws
language : en
Publisher: IAP
Release Date : 2006-11-01
Handbook Of Research On Mathematics Teaching And Learning written by Douglas Grouws and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-01 with Mathematics categories.
Sponsored by the National Council of Teachers of Mathematics and written by leading experts in the field of mathematics education, the Handbook is specifically designed to make important, vital scholarship accessible to mathematics education professors, graduate students, educational researchers, staff development directors, curriculum supervisors, and teachers. The Handbook provides a framework for understanding the evolution of the mathematics education research field against the backdrop of well-established conceptual, historical, theoretical, and methodological perspectives. It is an indispensable working tool for everyone interested in pursuing research in mathematics education as the references for each of the Handbook's twenty-nine chapters are complete resources for both current and past work in that particular area.