Mathematical Argumentation In Middle School The What Why And How
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Mathematical Argumentation In Middle School The What Why And How
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Author : Jennifer Knudsen
language : en
Publisher: Corwin Press
Release Date : 2017-09-21
Mathematical Argumentation In Middle School The What Why And How written by Jennifer Knudsen and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-21 with Education categories.
Get them talking: Your formula for bringing math concepts to life! Want your middle schoolers to intelligently engage with mathematical ideas? Look no further. This research-based gem brings tough Standards for Mathematical Practice 3 standards for mathematical argumentation and critical reasoning alive—all within a thoroughly explained four-part model that covers generating cases, conjecturing, justifying, and concluding. Immediately engage students in fun, classroom-ready argumentation activities Help students explore—and take ownership of—mathematical ideas and concepts Promote precise use of mathematical language Includes games, vignettes, a rich companion website, sample tasks, and links to online tools. Bring well-planned, well-constructed mathematical discourse to life in your classroom today!
Mathematical Argumentation In Middle School The What Why And How
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Author : Jennifer Knudsen
language : en
Publisher: Corwin Press
Release Date : 2017-09-21
Mathematical Argumentation In Middle School The What Why And How written by Jennifer Knudsen and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-21 with Education categories.
Get them talking: Your formula for bringing math concepts to life! Want your middle schoolers to intelligently engage with mathematical ideas? Ready to help them construct and critique viable arguments that meet tough Standards for Mathematical Practice 3 standards? Look no further. This research-based gem will help you foster the critical reasoning and argumentation skills every student needs for intelligent discourse within our modern society. Learn how to bring mathematical argumentation alive in your classroom—all within a thoroughly explained four-part model that covers generating cases, conjecturing, justifying, and concluding. Filled with content-focused and classroom-ready games, activities, vignettes, sample tasks, and links to online tools and a rich companion website, this innovative guide will help you Immediately engage students in fun, classroom-ready argumentation activities Plan lessons that foster lively, content-driven, viable argumentation Help students explore mathematical ideas and take ownership of their learning Facilitate deep mathematical understanding Promote students’ precise use of mathematical language to construct, justify, and critique mathematical ideas and mathematical statements or the arguments of others. Encourage logical, clear connections between abstract ideas for enhanced 21st century skills This guide delivers all the tools you need to get serious about mathematical argumentation and bring well-planned, well-constructed mathematical discourse to life in your classroom today!
But Why Does It Work
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Author : Susan Jo Russell
language : en
Publisher: Heinemann Educational Books
Release Date : 2017
But Why Does It Work written by Susan Jo Russell and has been published by Heinemann Educational Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Education categories.
If you ask students, "Why does that work?" do they know what you're asking and do you know what to listen for in their responses? Do you have images of what mathematical argument looks like in the elementary grades and how to help students learn to engage in this important practice? Do you have so much content to cover that finding time for this kind of work is difficult? But Why Does It Work? offers a simple, efficient teaching model focused on mathematical argument for developing the ability of students to justify their thinking and engage with the reasoning of others. Designed for individuals as well as study groups, this book includes access to classroom-ready instructional sequences, each built on a model supporting students in: noticing relationships across sets of problems, equations, or expressions articulating a claim about what they notice investigating their claim through representations such as manipulatives, diagrams, or story contexts using their representations to demonstrate why a claim must be true or not extending their thinking from one operation to another. Establishing a classroom culture where students gain confidence in their own mathematical voice and learn to value the contributions of their peers is a critical part of this work. The authors tell us, "If the idea underlying a student's reasoning is not made explicit, the opportunity for all students to engage in such thinking is lost." As students become a true community of mathematicians, they heighten each other's understanding by investigating questions, conjectures, and examples together. Enhanced with extensive video showing the instructional sequences in action-along with guiding focus questions and math investigations-But Why Does It Work? is a flexible approach that will help students confidently articulate and defend their reasoning, and share their deep thinking with others.
Up For Debate
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Author : Chris Luzniak
language : en
Publisher:
Release Date : 2019
Up For Debate written by Chris Luzniak and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Discussion categories.
"Chris is a math teacher and debate coach, and this book is about how he uses the tools of debate to get his students arguing in math class. Students are highly engaged and learn mathematics more deeply when using his techniques. The book is short and clear and will help readers learn how to incorporate debate in an incremental, totally not overwhelming way because Chris has broken the work down into a lovely step-by-step sequence. It's a super practical and readable manual, written by a working teacher for working teachers"--
We Reason We Prove For All Mathematics
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Author : Fran Arbaugh
language : en
Publisher: Corwin Press
Release Date : 2018-08-08
We Reason We Prove For All Mathematics written by Fran Arbaugh and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-08 with Education categories.
Sharpen concrete teaching strategies that empower students to reason-and-prove How do teachers and students benefit from engaging in reasoning-and-proving? What strategies can teachers use to support students’ capacity to reason-and-prove? What does reasoning-and-proving instruction look like? We Reason & We Prove for ALL Mathematics helps mathematics teachers in grades 6-12 engage in the critical practice of reasoning-and-proving and support the development of reasoning-and-proving in their students. The phrase "reasoning-and-proving" describes the processes of identifying patterns, making conjectures, and providing arguments that may or may not qualify as proofs – processes that reflect the work of mathematicians. Going beyond the idea of "formal proof" traditionally relegated only to geometry, this book transcends all mathematical content areas with a variety of activities for teachers to learn more about reasoning-and-proving and about how to support students’ capacities to engage in this mathematical thinking through: Solving and discussing high-level mathematical tasks Analyzing narrative cases that make the relationship between teaching and learning salient Examining and interpreting student work that features a range of solution strategies, representations, and misconceptions Modifying tasks from curriculum materials so that they better support students to reason-and-prove Evaluating learning environments and making connections between key ideas about reasoning-and-proving and teaching strategies We Reason & We Prove for ALL Mathematics is designed as a learning tool for practicing and pre-service mathematics teachers and can be used individually or in a group. No other book tackles reasoning-and-proving with such breadth, depth, and practical applicability. Classroom examples, case studies, and sample problems help to sharpen concrete teaching strategies that empower students to reason-and-prove!
Strengthening Mathematical Reasoning Among Middle School Students With Hidden Or Unmet Potential
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Author : Peter Sheppard
language : en
Publisher: Rowman & Littlefield Publishers
Release Date : 2019-11-20
Strengthening Mathematical Reasoning Among Middle School Students With Hidden Or Unmet Potential written by Peter Sheppard and has been published by Rowman & Littlefield Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-20 with Education categories.
This work seeks to contribute to the national dialogue regarding best practices in teaching middle school mathematics. The authors are committed to improving mathematics achievement and opportunities for students whose inherited circumstances place them at a perceptible disadvantage. Most refer to said students as “risks.” We hold the position that these students, irrespective of their backgrounds, possess Hidden or Unmet Potential and the unveiling of their potential can be accelerated when they are exposed to high-quality mathematics teaching. This book is a practitioner’s guide to creative mathematics activities centered on algebraic, proportional, and geometric reasoning aligned with mathematics standards. This approach has the potential to accelerate the mathematical confidence and accentuate the mathematical proficiencies of students.
Mathematics Education In The Middle Grades
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Author : National Research Council
language : en
Publisher: National Academies Press
Release Date : 2000-03-11
Mathematics Education In The Middle Grades written by National Research Council and has been published by National Academies Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-03-11 with Education categories.
In September 1998, the Math Science Education Board National held a Convocation on Middle Grades Mathematics that was co-sponsored by the National Council of Teachers of Mathematics, the National Middle School Association, and the American Educational Research Association. The Convocation was structured to present the teaching of middle school mathematics from two points of view: teaching mathematics with a focus on the subject matter content or teaching mathematics with a focus on the whole child and whole curriculum. This book discusses the challenges before the nation's mathematical sciences community to focus its energy on the improvement of middle grades mathematics education and to begin an ongoing national dialogue on middle grades mathematics education.
Conceptions And Consequences Of Mathematical Argumentation Justification And Proof
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Author : Kristen N. Bieda
language : en
Publisher:
Release Date : 2022
Conceptions And Consequences Of Mathematical Argumentation Justification And Proof written by Kristen N. Bieda and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with 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.
Teaching With Mathematical Argument
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Author : Despina A. Stylianou
language : en
Publisher: Heinemann Educational Books
Release Date : 2018
Teaching With Mathematical Argument written by Despina A. Stylianou and has been published by Heinemann Educational Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Education categories.
Argumentation leads to deeper understanding Many students' interest in mathematics fades as they are asked to solve seemingly endless disconnected problems. Despina Stylianou and Maria Blanton show how building daily instruction around mathematical argumentation can enliven your classroom and re-engage your students. Teaching with Mathematical Argument explores how argumentation-discussing and debating a rich mathematical problem-provides all students a deeper understanding of mathematics. You'll find guidance for: understanding what argumentation is and building a classroom culture that supports it engaging every student in argumentation, not just "strong" or "high performing" students assessing your students' arguments and designing instruction responsive to their learning. The potential to transform student engagement At its core, argumentation helps students delve deeply into foundational mathematical concepts, enhancing their understanding and confidence along the way. Research shows that this type of instruction has the potential to transform student engagement and success in mathematics, and so Despina and Maria argue that mathematical arguments should have a far more central role in teaching and learning than most of us have ever considered. With ideas for structuring discussions and suggested tasks to try, this book will show you how to elevate argumentation in your instruction and harness its power for enhancing student learning.
Mathematics In Middle And Secondary School
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Author : Alexander Karp
language : en
Publisher: IAP
Release Date : 2014-11-01
Mathematics In Middle And Secondary School written by Alexander Karp and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-01 with Education categories.
The experience and knowledge acquired in teacher education courses should build important fundamentals for the future teaching of mathematics. In particular, experience in mathematical problem solving, and in planning lessons devoted to problem solving, is an essential component of teacher preparation. This book develops a problem solving approach and is intended to be a text used in mathematics education courses (or professional development) for pre-service or in-service middle and secondary school teachers. It can be used both in graduate and undergraduate courses, in accordance with the focus of teacher preparation programs. The content of the book is suited especially for those students who are further along in their mathematics education preparation, as the text is more involved with mathematical ideas and problem solving, and discusses some of the intricate pedagogical considerations that arise in teaching. The text is written not as an introduction to mathematics education (a first course), but rather as a second, or probably, third course. The book deals both with general methodology issues in mathematics education incorporating a problem solving approach (Chapters 1-6) and with more concrete applications within the context of specific topics – algebra, geometry, and discrete mathematics (Chapters 7-13). The book provides opportunities for teachers to engage in authentic mathematical thinking. The mathematical ideas under consideration build on specific middle and secondary school content while simultaneously pushing the teacher to consider more advanced topics, as well as various connections across mathematical domains. The book strives to preserve the spirit of discussion, and at times even argument, typical of collaborative work on a lesson plan. Based on the accumulated experience of work with future and current teachers, the book assumes that students have some background in lesson planning, and extends their thinking further. Specifically, this book aims to provide a discussion of how a lesson plan is constructed, including the ways in which problems are selected or invented, rather than the compilation of prepared lesson plans. This approach reflects the authors’ view that the process of searching for an answer is often more important than the formal result.