Broadening the Scope of Research on Mathematical Problem Solving

Broadening the Scope of Research on Mathematical Problem Solving PDF Author: Nélia Amado
Publisher: Springer
ISBN: 3319998617
Category : Education
Languages : en
Pages : 573

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Book Description
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.

Broadening the Scope of Research on Mathematical Problem Solving

Broadening the Scope of Research on Mathematical Problem Solving PDF Author: Nélia Amado
Publisher: Springer
ISBN: 3319998617
Category : Education
Languages : en
Pages : 573

Get Book Here

Book Description
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.

Mathematical Challenges For All

Mathematical Challenges For All PDF Author: Roza Leikin
Publisher: Springer Nature
ISBN: 3031188683
Category : Education
Languages : en
Pages : 580

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Book Description
This book argues that mathematical challenge can be found at any level and at every age and constitutes an essential characteristic of any mathematics classroom aimed at developing the students’ mathematical knowledge and skills. Since each mathematics classroom is heterogeneous with respect to students’ mathematical potential, quality mathematical instruction results from matching the level of mathematical challenge to different students’ potential. Thus, effective integration of mathematical challenge in the instructional process is strongly connected to the equity principle of mathematics education. In the three sections in this volume readers can find diverse views on mathematical challenges in curriculum and instructional design, kinds and variation of mathematically challenging tasks and collections of mathematical problems. Evidence-based analysis is interwoven with theoretical positions expressed by the authors of the chapters. Cognitive, social and affective characteristics of challenging mathematical activities are observed and analyzed. The volume opens new avenues of research in mathematics education, and pose multiple questions about mathematical instruction rich in mathematical challenge for all. The authors invite readers to explore and enjoy mathematical challenges at different levels.

Problem Solving in Mathematics Instruction and Teacher Professional Development

Problem Solving in Mathematics Instruction and Teacher Professional Development PDF Author: Patricio Felmer
Publisher: Springer Nature
ISBN: 3030292150
Category : Education
Languages : en
Pages : 418

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Book Description
Recent research in problem solving has shifted its focus to actual classroom implementation and what is really going on during problem solving when it is used regularly in classroom. This book seeks to stay on top of that trend by approaching diverse aspects of current problem solving research, covering three broad themes. Firstly, it explores the role of teachers in problem-solving classrooms and their professional development, moving onto—secondly—the role of students when solving problems, with particular consideration of factors like group work, discussion, role of students in discussions and the effect of students’ engagement on their self-perception and their view of mathematics. Finally, the book considers the question of problem solving in mathematics instruction as it overlaps with problem design, problem-solving situations, and actual classroom implementation. The volume brings together diverse contributors from a variety of countries and with wide and varied experiences, combining the voices of leading and developing researchers. The book will be of interest to any reader keeping on the frontiers of research in problem solving, more specifically researchers and graduate students in mathematics education, researchers in problem solving, as well as teachers and practitioners.

Research Studies on Learning and Teaching of Mathematics

Research Studies on Learning and Teaching of Mathematics PDF Author: Jinfa Cai
Publisher: Springer Nature
ISBN: 3031354591
Category : Education
Languages : en
Pages : 321

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Book Description
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

Psychological Studies in the Teaching, Learning and Assessment of Mathematics

Psychological Studies in the Teaching, Learning and Assessment of Mathematics PDF Author: Yiming Cao
Publisher: Frontiers Media SA
ISBN: 2832546900
Category : Science
Languages : en
Pages : 408

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Book Description
There is no doubt that the onset of a new decade has brought high expectations of academic progress for scholars, especially for researchers in mathematics education. The International Group for the Psychology of Mathematics Education was born in 1976, which focused on the international exchange of knowledge in the psychology of mathematics education, the promotion of interdisciplinary research with psychologists, mathematicians and mathematics teachers, and the development of the psychological aspects of teaching and learning mathematics and its implications.

Research on Reasoning with Data and Statistical Thinking: International Perspectives

Research on Reasoning with Data and Statistical Thinking: International Perspectives PDF Author: Gail F. Burrill
Publisher: Springer Nature
ISBN: 3031294599
Category : Education
Languages : en
Pages : 375

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Book Description
This book is derived from selected papers from the Fourteenth International Congress on Mathematical Education Topic Study Group 12, Teaching and Learning Statistics. It describes recent research on curriculum, pedagogy and outreach initiatives from countries as diverse as Brazil, Chile, Columbia, Denmark, Germany, the Netherlands, Spain, Sweden, Thailand, Turkey, the United Kingdom, and the United States. The book has a focus on the use of data in the teaching and learning of statistics across grade levels and begins with an overview of the status of statistics education and the use of data from seven different countries across the continents and the link between research and practice in those countries. Because it contains specific examples of the research, for example, on the ways children learn, the choice and implementation of tasks, or the role of informal inference, the book will be a great resource to those interested and involved in the teaching of statistics, curriculum developers, and statistics education researchers.

Problem Posing and Problem Solving in Mathematics Education

Problem Posing and Problem Solving in Mathematics Education PDF Author: Tin Lam Toh
Publisher: Springer Nature
ISBN: 9819972051
Category : Mathematics
Languages : en
Pages : 263

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Book Description
This book presents both theoretical and empirical contributions from a global perspective on problem solving and posing (PS/PP) and their application, in relation to the teaching and learning of mathematics in schools. The chapters are derived from selected presentations in the PS/PP Topical Study Group in ICME14. Although mathematical problem posing is a much younger field of inquiry in mathematics education, this topic has grown rapidly. The mathematics curriculum frameworks in many parts of the world have incorporated problem posing as an instructional focus, building on problem solving as its foundation. The juxtaposition of problem solving and problem posing in mathematics presented in this book addresses the needs of the mathematics education research and practice communities at the present day. In particular, this book aims to address the three key points: to present an overview of research and development regarding students’ mathematical problem solving and posing; to discuss new trends and developments in research and practice on these topics; and to provide insight into the future trends of mathematical problem solving and posing.

Mathematical Teaching and Learning

Mathematical Teaching and Learning PDF Author: Katherine M. Robinson
Publisher: Springer Nature
ISBN: 303131848X
Category : Education
Languages : en
Pages : 234

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Book Description
This book focusses on teaching and learning in elementary and middle school mathematics and suggests practices for teachers to help children be successful mathematical thinkers. Contributions from diverse theoretical and disciplinary perspectives are explored. Topics include the roles of technology, language, and classroom discussion in mathematics learning, the use of creativity, visuals, and teachers’ physical gestures to enhance problem solving, inclusive educational activities to promote children’s mathematics understanding, how learning in the home can enhance children’s mathematical skills, the application of mathematics learning theories in designing effective teaching tools, and a discussion of how students, teachers, teacher educators, and school boards differentially approach elementary and middle school mathematics. This book and its companion, Mathematical Cognition and Understanding, take an interdisciplinary perspective to mathematical learning and development in the elementary and middle school years. The authors and perspectives in this book draw from education, neuroscience, developmental psychology, and cognitive psychology. The book will be relevant to scholars/educators in the field of mathematics education and also those in childhood development and cognition. Each chapter also includes practical tips and implications for parents as well as for educators and researchers.

Mathematical Creativity

Mathematical Creativity PDF Author: Scott A. Chamberlin
Publisher: Springer Nature
ISBN: 3031144740
Category : Education
Languages : en
Pages : 252

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Book Description
This book is important and makes a unique contribution in the field of mathematics education and creativity. The book comprises the most recent research by renowned international experts and scholars, as well as a comprehensive up to date literature review. The developmental lens applied to the research presented makes it unique in the field. Also, this book provides a discussion of future directions for research to complement what is already known in the field of mathematical creativity. Finally, a critical discussion of the importance of the literature in relation to development of learners and accordingly pragmatic applications for educators is provided. Many books provide the former (2) foci, but omit the final discussion of the research in relation to developmental needs of learners in the domain of mathematics. Currently, educators are expected to implement best practices and illustrate how their adopted approaches are supported by research. The authors and editors of this book have invested significant effort in merging theory with practice to further this field and develop it for future generations of mathematics learners, teachers and researchers.

Handbook of Educational Psychology

Handbook of Educational Psychology PDF Author: Paul A. Schutz
Publisher: Taylor & Francis
ISBN: 0429782853
Category : Education
Languages : en
Pages : 803

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Book Description
The fourth edition of the Handbook of Educational Psychology, sponsored by Division 15 of the American Psychological Association, addresses new developments in educational psychology theory and research methods while honoring the legacy of the field’s past. Comprising 31 chapters written by a diverse group of recognized Educational Psychologist and/or Learning and Motivational Scientist (EDP/LMS) scholars, this volume provides integrative reviews and critical syntheses of inquiry across a variety of foundational and new areas. Key constructs like motivation, development, beliefs, literacy, and emotions are given substantive updates, while entire new chapters touch on trends that have materialized since the publication of the third edition, such as inquiry world views, Critical Race Theory, cognitive neuroscience, and emerging technologies in education. Throughout this new edition, chapter authors coalesce on issues of social justice, situated approaches to inquiry, and progressive inquiry methods. The Handbook of Educational Psychology, Fourth Edition, will be an important reference volume for current and future EDP/LMS scholars, broadly conceived, as well as for teacher educators, practicing teachers, policy makers, and the academic libraries serving these audiences. It is also appropriate for graduate-level courses in educational psychology, learning and motivational sciences, and research methods in education and psychology.