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Proving In The Elementary Mathematics Classroom

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Proving In The Elementary Mathematics Classroom

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Author : Andreas J. Stylianides
language : en
Publisher: Oxford University Press
Release Date : 2016

Proving In The Elementary Mathematics Classroom written by Andreas J. Stylianides and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Education categories.

Although proving is core to mathematics as a sense-making activity, it currently has a marginal place in elementary classrooms internationally. Blending research with practical perspectives, this book addresses what it would take to elevate the place of proving at elementary school. The book uses classroom episodes from two countries to examine different kinds of proving tasks and the proving activity they can generate in the elementary classroom. It examines further the role of teachers in mediating the relationship between proving tasks and proving activity, including major mathematical and pedagogical issues that arise for teachers as they implement each kind of proving task. In addition to its contribution to research knowledge, the book has important implications for teaching, curricular resources, and teacher education.

Proving In The Elementary Mathematics Classroom

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Author : Andreas J. Stylianides
language : en
Publisher: Oxford University Press
Release Date : 2016-07-14

Conceptions And Consequences Of Mathematical Argumentation Justification And Proof

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Author : Kristen N. Bieda
language : en
Publisher: Springer Nature
Release Date : 2022-03-03

Conceptions And Consequences Of Mathematical Argumentation Justification And Proof written by Kristen N. Bieda and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-03 with Education categories.

This book aims to advance ongoing debates in the field of mathematics and mathematics education regarding conceptions of argumentation, justification, and proof and the consequences for research and practice when applying particular conceptions of each construct. Through analyses of classroom practice across grade levels using different lenses - particular conceptions of argumentation, justification, and proof - researchers consider the implications of how each conception shapes empirical outcomes. In each section, organized by grade band, authors adopt particular conceptions of argumentation, justification, and proof, and they analyse one data set from each perspective. In addition, each section includes a synthesis chapter from an expert in the field to bring to the fore potential implications, as well as new questions, raised by the analyses. Finally, a culminating section considers the use of each conception across grade bands and data sets.

Proof And Proving In Mathematics Education

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Author : Gila Hanna
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-06-14

Proof And Proving In Mathematics Education written by Gila Hanna 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 2012-06-14 with Education categories.

*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced. This challenge has been given even greater importance by the assignment to proof of a more prominent place in the mathematics curriculum at all levels. Along with this renewed emphasis, there has been an upsurge in research on the teaching and learning of proof at all grade levels, leading to a re-examination of the role of proof in the curriculum and of its relation to other forms of explanation, illustration and justification. This book, resulting from the 19th ICMI Study, brings together a variety of viewpoints on issues such as: The potential role of reasoning and proof in deepening mathematical understanding in the classroom as it does in mathematical practice. The developmental nature of mathematical reasoning and proof in teaching and learning from the earliest grades. The development of suitable curriculum materials and teacher education programs to support the teaching of proof and proving. The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms.

Mathematics Education In The Information Age

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Author : Stacy A. Costa
language : en
Publisher: Springer Nature
Release Date : 2020-12-10

Mathematics Education In The Information Age written by Stacy A. Costa and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-10 with Mathematics categories.

This book brings together ideas from experts in cognitive science, mathematics, and mathematics education to discuss these issues and to present research on how mathematics and its learning and teaching are evolving in the Information Age. Given the ever-broadening trends in Artificial Intelligence and the processing of information generally, the aim is to assess their implications for how math is evolving and how math should now be taught to a generation that has been reared in the Information Age. It will also look at the ever-spreading assumption that human intelligence may not be unique—an idea that dovetails with current philosophies of mind such as posthumanism and transhumanism. The role of technology in human evolution has become critical in the contemporary world. Therefore, a subgoal of this book is to illuminate how humans now use their sophisticated technologies to chart cognitive and social progress. Given the interdisciplinary nature of the chapters, this will be of interest to all kinds of readers, from mathematicians themselves working increasingly with computer scientists, to cognitive scientists who carry out research on mathematics cognition and teachers of mathematics in a classroom.

Teaching And Learning Proof Across The Grades

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Author : Despina A. Stylianou
language : en
Publisher: Routledge
Release Date : 2010-09-23

Teaching And Learning Proof Across The Grades written by Despina A. Stylianou and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-23 with Education categories.

A Co-Publication of Routledge for the National Council of Teachers of Mathematics (NCTM) In recent years there has been increased interest in the nature and role of proof in mathematics education; with many mathematics educators advocating that proof should be a central part of the mathematics education of students at all grade levels. This important new collection provides that much-needed forum for mathematics educators to articulate a connected K-16 "story" of proof. Such a story includes understanding how the forms of proof, including the nature of argumentation and justification as well as what counts as proof, evolve chronologically and cognitively and how curricula and instruction can support the development of students’ understanding of proof. Collectively these essays inform educators and researchers at different grade levels about the teaching and learning of proof at each level and, thus, help advance the design of further empirical and theoretical work in this area. By building and extending on existing research and by allowing a variety of voices from the field to be heard, Teaching and Learning Proof Across the Grades not only highlights the main ideas that have recently emerged on proof research, but also defines an agenda for future study.

Advances In Mathematics Education Research On Proof And Proving

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Author : Andreas J. Stylianides
language : en
Publisher: Springer
Release Date : 2018-01-10

Advances In Mathematics Education Research On Proof And Proving written by Andreas J. Stylianides and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-10 with Education categories.

This book explores new trends and developments in mathematics education research related to proof and proving, the implications of these trends and developments for theory and practice, and directions for future research. With contributions from researchers working in twelve different countries, the book brings also an international perspective to the discussion and debate of the state of the art in this important area. The book is organized around the following four themes, which reflect the breadth of issues addressed in the book: • Theme 1: Epistemological issues related to proof and proving; • Theme 2: Classroom-based issues related to proof and proving; • Theme 3: Cognitive and curricular issues related to proof and proving; and • Theme 4: Issues related to the use of examples in proof and proving. Under each theme there are four main chapters and a concluding chapter offering a commentary on the theme overall.

Curricular Resources And Classroom Use

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Author : Gabriel J. Stylianides
language : en
Publisher: Oxford University Press
Release Date : 2016-05-05

Curricular Resources And Classroom Use written by Gabriel J. Stylianides and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-05 with Mathematics categories.

Curricular resources include the different kinds of materials (digital or physical) that teachers use in or for their teaching (textbooks, lesson plans, etc.) and have a significant influence on students' opportunities to learn. At the same time, teachers play a crucial role as interpreters of such materials, so there is a complex relationship between curricular resources and their classroom use. This book aims to bridge these rather disconnected but highly related programs of research by describing, comparing, and exemplifying new research approaches for studying, in connected ways, both curricular resources and their classroom use, thereby supporting also investigation of the complex interplay between the two. In addition to implications for research, the book has implications for curriculum development and teacher education. Specifically, the book deepens understanding of how curriculum developers can better exploit the potential of curricular resources to support classroom work, and how teacher educators can better support teachers to use curricular resources in the classroom.

Proof In Mathematics Education

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Author : David A. Reid
language : en
Publisher: BRILL
Release Date : 2010-01-01

Proof In Mathematics Education written by David A. Reid and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-01 with Education categories.

Research on teaching and learning proof and proving has expanded in recent decades. This reflects the growth of mathematics education research in general, but also an increased emphasis on proof in mathematics education. This development is a welcome one for those interested in the topic, but also poses a challenge, especially to teachers and new scholars. It has become more and more difficult to get an overview of the field and to identify the key concepts used in research on proof and proving.

Handbook Of Cognitive Mathematics

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Author : Marcel Danesi
language : en
Publisher: Springer Nature
Release Date : 2022-10-31

Handbook Of Cognitive Mathematics written by Marcel Danesi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-31 with Mathematics categories.

Cognitive mathematics provides insights into how mathematics works inside the brain and how it is interconnected with other faculties through so-called blending and other associative processes. This handbook is the first large collection of various aspects of cognitive mathematics to be amassed into a single title, covering decades of connection between mathematics and other figurative processes as they manifest themselves in language, art, and even algorithms. It will be of use to anyone working in math cognition and education, with each section of the handbook edited by an international leader in that field.

Proving In The Elementary Mathematics Classroom

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