Mathematical Reasoning of Children and Adults

Mathematical Reasoning of Children and Adults PDF Author: Alina Galvão Spinillo
Publisher: Springer Nature
ISBN: 303069657X
Category : Education
Languages : en
Pages : 324

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Book Description
This book adopts an interdisciplinary approach to investigate the development of mathematical reasoning in both children and adults and to show how understanding the learner’s cognitive processes can help teachers develop better strategies to teach mathematics. This contributed volume departs from the interdisciplinary field of psychology of mathematics education and brings together contributions by researchers from different fields and disciplines, such as cognitive psychology, neuroscience and mathematics education. The chapters are presented in the light of the three instances that permeate the entire book: the learner, the teacher, and the teaching and learning process. Some of the chapters analyse the didactic challenges that teachers face in the classroom, such as how to interpret students' reasoning, the use of digital technologies, and their knowledge about mathematics. Other chapters examine students' opinions about mathematics, and others analyse the ways in which students solve situations that involve basic and complex mathematical concepts. The approaches adopted in the description and interpretation of the data obtained in the studies documented in this book point out the limits, the development, and the possibilities of students' thinking, and present didactic and cognitive perspectives to the learning scenarios in different school settings. Mathematical Reasoning of Children and Adults: Teaching and Learning from an Interdisciplinary Perspective will be a valuable resource for both mathematics teachers and researchers studying the development of mathematical reasoning in different fields, such as mathematics education, educational psychology, cognitive psychology, and developmental psychology.

Mathematical Reasoning of Children and Adults

Mathematical Reasoning of Children and Adults PDF Author: Alina Galvão Spinillo
Publisher: Springer Nature
ISBN: 303069657X
Category : Education
Languages : en
Pages : 324

Get Book Here

Book Description
This book adopts an interdisciplinary approach to investigate the development of mathematical reasoning in both children and adults and to show how understanding the learner’s cognitive processes can help teachers develop better strategies to teach mathematics. This contributed volume departs from the interdisciplinary field of psychology of mathematics education and brings together contributions by researchers from different fields and disciplines, such as cognitive psychology, neuroscience and mathematics education. The chapters are presented in the light of the three instances that permeate the entire book: the learner, the teacher, and the teaching and learning process. Some of the chapters analyse the didactic challenges that teachers face in the classroom, such as how to interpret students' reasoning, the use of digital technologies, and their knowledge about mathematics. Other chapters examine students' opinions about mathematics, and others analyse the ways in which students solve situations that involve basic and complex mathematical concepts. The approaches adopted in the description and interpretation of the data obtained in the studies documented in this book point out the limits, the development, and the possibilities of students' thinking, and present didactic and cognitive perspectives to the learning scenarios in different school settings. Mathematical Reasoning of Children and Adults: Teaching and Learning from an Interdisciplinary Perspective will be a valuable resource for both mathematics teachers and researchers studying the development of mathematical reasoning in different fields, such as mathematics education, educational psychology, cognitive psychology, and developmental psychology.

Math on the Move

Math on the Move PDF Author: Malke Rosenfeld
Publisher: Heinemann Educational Books
ISBN: 9780325074702
Category : Education
Languages : en
Pages : 0

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Book Description
"Kids love to move. But how do we harness all that kinetic energy effectively for math learning? In Math on the Move, Malke Rosenfeld shows how pairing math concepts and whole body movement creates opportunities for students to make sense of math in entirely new ways. Malke shares her experience creating dynamic learning environments by: exploring the use of the body as a thinking tool, highlighting mathematical ideas that are usefully explored with a moving body, providing a range of entry points for learning to facilitate a moving math classroom. ..."--Publisher description.

Mathematical Reasoning

Mathematical Reasoning PDF Author: Lyn D. English
Publisher: Routledge
ISBN: 1136491147
Category : Education
Languages : en
Pages : 407

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Book Description
How we reason with mathematical ideas continues to be a fascinating and challenging topic of research--particularly with the rapid and diverse developments in the field of cognitive science that have taken place in recent years. Because it draws on multiple disciplines, including psychology, philosophy, computer science, linguistics, and anthropology, cognitive science provides rich scope for addressing issues that are at the core of mathematical learning. Drawing upon the interdisciplinary nature of cognitive science, this book presents a broadened perspective on mathematics and mathematical reasoning. It represents a move away from the traditional notion of reasoning as "abstract" and "disembodied", to the contemporary view that it is "embodied" and "imaginative." From this perspective, mathematical reasoning involves reasoning with structures that emerge from our bodily experiences as we interact with the environment; these structures extend beyond finitary propositional representations. Mathematical reasoning is imaginative in the sense that it utilizes a number of powerful, illuminating devices that structure these concrete experiences and transform them into models for abstract thought. These "thinking tools"--analogy, metaphor, metonymy, and imagery--play an important role in mathematical reasoning, as the chapters in this book demonstrate, yet their potential for enhancing learning in the domain has received little recognition. This book is an attempt to fill this void. Drawing upon backgrounds in mathematics education, educational psychology, philosophy, linguistics, and cognitive science, the chapter authors provide a rich and comprehensive analysis of mathematical reasoning. New and exciting perspectives are presented on the nature of mathematics (e.g., "mind-based mathematics"), on the array of powerful cognitive tools for reasoning (e.g., "analogy and metaphor"), and on the different ways these tools can facilitate mathematical reasoning. Examples are drawn from the reasoning of the preschool child to that of the adult learner.

Transforming the Workforce for Children Birth Through Age 8

Transforming the Workforce for Children Birth Through Age 8 PDF Author: National Research Council
Publisher: National Academies Press
ISBN: 0309324882
Category : Social Science
Languages : en
Pages : 587

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Book Description
Children are already learning at birth, and they develop and learn at a rapid pace in their early years. This provides a critical foundation for lifelong progress, and the adults who provide for the care and the education of young children bear a great responsibility for their health, development, and learning. Despite the fact that they share the same objective - to nurture young children and secure their future success - the various practitioners who contribute to the care and the education of children from birth through age 8 are not acknowledged as a workforce unified by the common knowledge and competencies needed to do their jobs well. Transforming the Workforce for Children Birth Through Age 8 explores the science of child development, particularly looking at implications for the professionals who work with children. This report examines the current capacities and practices of the workforce, the settings in which they work, the policies and infrastructure that set qualifications and provide professional learning, and the government agencies and other funders who support and oversee these systems. This book then makes recommendations to improve the quality of professional practice and the practice environment for care and education professionals. These detailed recommendations create a blueprint for action that builds on a unifying foundation of child development and early learning, shared knowledge and competencies for care and education professionals, and principles for effective professional learning. Young children thrive and learn best when they have secure, positive relationships with adults who are knowledgeable about how to support their development and learning and are responsive to their individual progress. Transforming the Workforce for Children Birth Through Age 8 offers guidance on system changes to improve the quality of professional practice, specific actions to improve professional learning systems and workforce development, and research to continue to build the knowledge base in ways that will directly advance and inform future actions. The recommendations of this book provide an opportunity to improve the quality of the care and the education that children receive, and ultimately improve outcomes for children.

Stevens' Handbook of Experimental Psychology and Cognitive Neuroscience, Developmental and Social Psychology

Stevens' Handbook of Experimental Psychology and Cognitive Neuroscience, Developmental and Social Psychology PDF Author:
Publisher: John Wiley & Sons
ISBN: 1119170052
Category : Psychology
Languages : en
Pages : 672

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Book Description
IV. Developmental & Social Psychology: Simona Ghetti (Volume Editor) (Topics covered include development of visual attention; self-evaluation; moral development; emotion-cognition interactions; person perception; memory; implicit social cognition; motivation group processes; development of scientific thinking; language acquisition; development of mathematical reasoning; emotion regulation; emotional development; development of theory of mind; category and conceptual development; attitudes; executive function.)

Mathematical Reasoning Level B (B/W)

Mathematical Reasoning Level B (B/W) PDF Author: Doug Brumbaugh
Publisher:
ISBN: 9781601441829
Category :
Languages : en
Pages : 264

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Book Description


Problemoids

Problemoids PDF Author: Bill McCandliss
Publisher:
ISBN: 9780898240337
Category : Mathematical recreations
Languages : en
Pages : 98

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Book Description


Handbook of International Research in Mathematics Education

Handbook of International Research in Mathematics Education PDF Author: Lyn D. English
Publisher: Routledge
ISBN: 1134626649
Category : Education
Languages : en
Pages : 739

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Book Description
This third edition of the Handbook of International Research in Mathematics Education provides a comprehensive overview of the most recent theoretical and practical developments in the field of mathematics education. Authored by an array of internationally recognized scholars and edited by Lyn English and David Kirshner, this collection brings together overviews and advances in mathematics education research spanning established and emerging topics, diverse workplace and school environments, and globally representative research priorities. New perspectives are presented on a range of critical topics including embodied learning, the theory-practice divide, new developments in the early years, educating future mathematics education professors, problem solving in a 21st century curriculum, culture and mathematics learning, complex systems, critical analysis of design-based research, multimodal technologies, and e-textbooks. Comprised of 12 revised and 17 new chapters, this edition extends the Handbook’s original themes for international research in mathematics education and remains in the process a definitive resource for the field.

Best Practices in School Neuropsychology

Best Practices in School Neuropsychology PDF Author: Daniel C. Miller
Publisher: John Wiley & Sons
ISBN: 1119790557
Category : Psychology
Languages : en
Pages : 644

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Book Description
The latest edition of the gold standard in school neuropsychology references In the newly revised Second Edition of Best Practices in School Neuropsychology: Guidelines for Effective Practice, Assessment, and Evidence-Based Intervention, a team of psychological experts delivers a thoroughly updated treatment of modern issues and challenges in school neuropsychology. The editors provide comprehensive discussions of current assessment and intervention models, best practices in assessing cognitive processes, and the important task of collaborating with parents, educators, and other professionals. This latest edition includes: Explorations of the unique challenges posed by working with culturally diverse student populations Clinical advice for learning specialists and neuropsychologists engaged with special populations and students with academic disabilities, processing deficits, or medical disorders New chapters on assessment and intervention with children suffering from trauma or substance abuse Perfect for psychologists, neuropsychologists, clinicians, and academics working in or studying school environments, Best Practices in School Neuropsychology is a must-read reference for practitioners working with children and students who seek a one-stop reference for evidence-informed assessment and intervention guidelines.

The Uses of Argument

The Uses of Argument PDF Author: Stephen Toulmin
Publisher: Hassell Street Press
ISBN: 9781014234599
Category : Business & Economics
Languages : en
Pages : 0

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Book Description
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.