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We Reason & We Prove for ALL Mathematics: Building Students’ Critical Thinking, Grades 6-12 (Corwin Mathematics Series)

We Reason & We Prove for ALL Mathematics: Building Students’ Critical Thinking, Grades 6-12 (Corwin Mathematics Series)

by Fran Arbaugh (Author), Michael Steele (Author), Gabriel J . Stylianides (Author), Margaret ( Peg ) S . Smith (Author), JustinD.Boyle (Author)

  • New

    Paperback 2018

    $26.21
Synopsis

This book transcends all mathematical content areas with a variety of activities for teachers that include

  • Solving and discussing high-level mathematical tasks
  • Analyzing narrative cases that make the relationship between teaching and learning salient
  • Examining and interpreting student work
  • Modifying curriculum materials and evaluating learning environments to better support students to reason-and-prove

$26.21

Quantity

10 in stock

More Information

Format: Paperback
 Pages: 272
 Edition: 1
 Publisher: Corwin
Published: 14 Nov 2018
ISBN 10: 1506378196
ISBN 13: 9781506378190

Media Reviews
Simply stated, this book is a must-have for preservice and inservice mathematics teachers and teacher leaders who are looking to enhance their understanding of how reasoning-and-proving are critical processes for increasing proficiency across all mathematics content domains. This expert author team has illustrated a clear vision and plan, supported by key strategies and exceptional tools, for guiding teacher teams as they help their students learn how to make conjectures and develop and judge the effectiveness of their arguments and proofs. This book is an exceptionally useful and timely resource for schools and districts that are looking to connect and deepen their professional focus with the Effective Mathematics Teaching Practices (NCTM, 2014) and other evidence-based practices. -- Jonathan (Jon) Wray, Coordinator of Secondary Mathematics, Howard County Public Schools (MD)

Reasoning-and-proving are central to investigating ideas, solving problems, and establishing mathematics knowledge at all levels. Built around rich classroom cases, this book provides research-supported frameworks and practical resources for teachers to deepen their understanding and develop practices to aid students in reasoning-and-proving as powerful mathematical thinkers.

-- Daniel Heck, Vice President
We Reason & We Prove for ALL Mathematics provides an enlightening and engaging examination of reasoning-and-proving in secondary mathematics classrooms. Filled with carefully designed tasks and task sequences, along with illustrative classroom cases, it clearly articulates the nature of reasoning-and-proving, what students need to know and understand about it, and how teachers can support this learning. The thought-provoking discussion questions and recommended classroom activities support readers' implementation of reasoning-and-proving activities into their own classrooms. We Reason & We Prove for ALL Mathematics is an outstanding resource for practice-based learning on this essential component of mathematics learning. I recommend it most highly. -- Diane J. Briars, PhD, Mathematics Education Consultant
The authors of We Reason & We Prove for ALL Mathematics have taken aim at a long-standing challenge in mathematics education: helping students become proficient with mathematical reasoning and proof. In so doing they have produced a book that will be useful to teachers and scholars alike in addressing a topic that is both difficult to teach and difficult to learn. This volume blends knowledge obtained through rigorous research with practical wisdom derived from extensive experience. Building upon a solid foundation of prior research on students' mathematical reasoning, the authors offer a collection of narrative cases and mathematics activities designed to deepen the understanding of teachers in ways that will enhance the teaching and learning of proof and reasoning. -- Edward A. Silver, Senior Associate Dean for Research & Graduate Studies, William A. Brownell Collegiate Professor of Education, & Professor of Mathematics
Grounded in the research on effective mathematics teaching practices and connected to the mathematical content taught in middle and high school, We Reason & We Prove for ALL Mathematics offers exceptional guidance, superb exemplars, and important classroom discussion questions to support student reasoning-and-proving. The ideas in this book are what we need to move away from repeat-after-me mathematics toward a convince-me mathematics-totally transforming mathematics classrooms and increasing students' opportunities to engage in doing authentic mathematics. -- Jennifer Bay-Williams, PhD, Mathematics Educator & Professor, Co-Author of Teaching Student-Centered Mathematics: Developing Appropriate Instruction Series
Author Bio
Dr. Fran Arbaugh is an associate professor of mathematics education at Penn State University, having begun her career as a university mathematics teacher educator at the University of Missouri. She is a former high school mathematics teacher, received a M.Ed. in Secondary Mathematics Education from Virginia Commonwealth University and a PhD in Curriculum & Instruction (Mathematics Education) from Indiana University - Bloomington. Fran's scholarship is in the area of professional learning opportunities for mathematics teachers and mathematics teacher educators, and her work is widely published for both research and practitioner audiences. She is a Past-President of the Association of Mathematics Teacher Educators (ATME) and served as a Co-Editor of the Journal of Teacher Education. Margaret (Peg) Smith is a Professor Emerita at University of Pittsburgh. Over the past two decades she has been developing research-based materials for use in the professional development of mathematics teachers. She has authored or coauthored over 90 books, edited books or monographs, book chapters, and peer-reviewed articles including the best seller Five Practices for Orchestrating Productive Discussions (co-authored with Mary Kay Stein). She was a member of the writing team for Principles to Actions: Ensuring Mathematical Success for All and she is a co-author of two new books (Taking Action: Implementation Effective Mathematics Teaching Practices Grades 6-8 & 9-12) that provide further explication of the teaching practices first describe in Principles to Actions. She was a member of the Board of Directors of the Association of Mathematics Teacher Educators (2001-2003; 2003 - 2005), of the National Council of Teachers of Mathematics (2006-2009), and of Teachers Development Group (2009 - 2017). Justin Boyle is an assistant professor at the University of Alabama. He is interested in learning how best to develop secondary mathematics teachers, so that they are prepared to engage their future students in becoming intellectually curious about mathematics. In particular, he uses reasoning-and-proving as a way to investigate and discuss the truth of mathematical statements, concepts and objects. Gabriel J. Stylianides is Professor of Mathematics Education at the University of Oxford (UK) and Fellow of Oxford's Worcester College. A Fulbright scholar, he received MSc degrees in mathematics and mathematics education, and then his PhD in mathematics education, at the University of Michigan. He has conducted extensive research in the area of reasoning-and-proving at all levels of education, including teacher education and professional development. He was an Editor of Research in Mathematics Education and is currently an Editorial Board member of the Elementary School Journal and the International Journal of Educational Research. He received an American Educational Research Association Publication Award for his 2009 article Reasoning-and-proving in Mathematics Textbooks. Michael D. Steele is a Professor of Mathematics Education and Chair of the Department of Curriculum and Instruction in the School of Education at the University of Wisconsin-Milwaukee. He is currently the President-Elect of the Association of Mathematics Teacher Educators. A former middle and high school mathematics and science teacher, Dr. Steele has worked with preservice secondary mathematics teachers, practicing teachers, administrators, and doctoral students across the country for the past two decades. He has published several books and journal articles focused on supporting mathematics teachers in enacting research-based effective mathematics teaching practices. He is the co-author of NCTM's Taking Action: Implementing Effective Mathematics Teaching Practices in Grades 6-8 and Mathematics Discourse in Secondary Classrooms, two research-based professional development resources for secondary mathematics teachers. He is also the author of A Quiet Revolution: One District's Story of Radical Curricular Change in Mathematics, a resource focused on reforming high school mathematics teaching and learning.