Teaching And Learning Proof Across The Grades

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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.

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.

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.

International Handbook Of Mathematics Teacher Education Volume 2

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Author :
language : en
Publisher: BRILL
Release Date : 2019-12-16

International Handbook Of Mathematics Teacher Education Volume 2 written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-16 with Education categories.

This second edition of the International Handbook of Mathematics Teacher Education builds on and extends the topics/ideas in the first edition while maintaining the themes for each of the volumes. Collectively, the authors look back beyond and within the last 10 years to establish the state-of-the-art and continuing and new trends in mathematics teacher and mathematics teacher educator education, and look forward regarding possible avenues for teachers, teacher educators, researchers, and policy makers to consider to enhance and/or further investigate mathematics teacher and teacher educator learning and practice, in particular. The volume editors provide introductions to each volume that highlight the subthemes used to group related chapters, which offer meaningful lenses to see important connections within and across chapters. Readers can also use these subthemes to make connections across the four volumes, which, although presented separately, include topics that have relevance across them since they are all situated in the common focus regarding mathematics teachers. Volume 2, Tools and Processes in Mathematics Teacher Education, describes and analyze various promising tools and processes, from different perspectives, aimed at facilitating the mathematics teacher learning and development. It provides insights of how mathematics teacher educators think about and approach their work with teachers. Thus, as the second volume in the series, it broadens our understanding of the mathematics teacher and their learning and teaching.

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.

Illuminating And Advancing The Path For Mathematical Writing Research

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Author : Colonnese, Madelyn W.
language : en
Publisher: IGI Global
Release Date : 2023-11-20

Illuminating And Advancing The Path For Mathematical Writing Research written by Colonnese, Madelyn W. and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-20 with Reference categories.

Mathematical writing is essential for students’ math learning, but it’s often underutilized due to unclear guidelines. Mathematical writing is a mode of communication that provides teachers access to their students’ thinking and, importantly, offers students an opportunity to deepen their mathematical understanding, engage in mathematical reasoning, and learn a fundamental way to communicate mathematically. Notably, one needs to be able to judiciously combine mathematical symbols, representations, and text. However, more research is needed to exemplify the qualities of mathematical writing, develop implementation methods, and support teachers. Illuminating and Advancing the Path for Mathematical Writing Research, is a necessary comprehensive resource designed to enhance mathematical writing and promote equitable learning. This research book provides a comprehensive understanding of the current state of mathematical writing and illuminates various perspectives on moving the teaching and learning of k-12 mathematical writing forward. Mathematical writing is an important yet underutilized component of mathematical discourse, and this book offers further insight into understanding what it means to write mathematically for mathematics educators and researchers. It informs with research-based implementation strategies and creates purposeful professional learning opportunities. Ultimately, k-12 students will benefit from a more informed field because they will have access to a vital mode of mathematical reasoning and communication.

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.

Scripting Approaches In Mathematics Education

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Author : Rina Zazkis
language : en
Publisher: Springer
Release Date : 2017-10-30

Scripting Approaches In Mathematics Education written by Rina Zazkis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-30 with Education categories.

This book shows how the practice of script writing can be used both as a pedagogical approach and as a research tool in mathematics education. It provides an opportunity for script-writers to articulate their mathematical arguments and/or their pedagogical approaches. It further provides researchers with a corpus of narratives that can be analyzed using a variety of theoretical perspectives. Various chapters argue for the use of dialogical method and highlight its benefits and special features. The chapters examine both “low tech” implementations as well as the use of a technological platform, LessonSketch. The chapters present results of and insights from several recent studies, which utilized scripting in mathematics education research and practice.

Wittgenstein On Practice

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Author : Kevin M. Cahill
language : en
Publisher: Springer Nature
Release Date : 2024-10-27

Wittgenstein On Practice written by Kevin M. Cahill and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-27 with Philosophy categories.

This volume brings together twelve previously unpublished essays on the theme of Wittgenstein on practice and on the insight that careful attention to human or animal activity is essential for thinking about philosophical problems. While Wittgenstein’s thought frames the collection as a whole, each chapter aims first and foremost at rigorous philosophical argument directed at contemporary issues. In this sense, each contribution “drafts” Wittgenstein on practice either by following in his wake, or by critiquing some aspect of his thought, or both. This book is essential reading for all scholars and researchers of Wittgenstein and of philosophical methods.

Proven Programs In Education Science Technology And Mathematics Stem

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Author : Robert E. Slavin
language : en
Publisher: Corwin Press
Release Date : 2014-05-12

Proven Programs In Education Science Technology And Mathematics Stem written by Robert E. Slavin and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Education categories.

Let the best evidence based practices guide you to STEM success. This series turns research into practice with practical, evidence-based advice from the world’s premier education researchers and authors. In this volume, top articles on science, technology, and math provide multiple perspectives on current STEM issues as well as strategies for effective teaching of STEM subjects at all grade levels. Each chapter offers: Research and case studies showcasing innovative approaches to teaching Best practices, validated by research, that have stood the test of time Practical advice you can put to work right away Sources for additional exploration of the research