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.
This research-based book 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.
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!
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.
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.
Global Perspectives And Practices For Reform Based Mathematics Teaching
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Author : Kartal, Ozgul
language : en
Publisher: IGI Global
Release Date : 2022-04-22
Global Perspectives And Practices For Reform Based Mathematics Teaching written by Kartal, Ozgul and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-22 with Education categories.
Reform-based mathematics has become a popular topic in the education field as this teaching emphasizes classroom discourse and instructional goals related to student engagement and an understanding of mathematical reasoning, concepts, and procedures using instructional practices that build on students’ informal knowledge of mathematics. It also connects mathematics with other disciplines and the real world and provides opportunities for students to contribute and invent their own methods during problem-solving. Further study on the best practices, benefits, and challenges of implementing this teaching into education is required. Global Perspectives and Practices for Reform-Based Mathematics Teaching explores international perspectives on diverse reform-based practices in teaching and learning mathematics, describes challenges and issues for teachers and teacher educators, promotes reflection and academic discussion at various levels and in various educational systems, and raises questions for the field of mathematics education. Covering a range of topics such as teacher preparation programs and integrated learning spaces, this reference work is ideal for academicians, practitioners, researchers, instructors, educators, and students.
Mathematics Instruction In Dual Language Classrooms
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Author : Marco A. Bravo
language : en
Publisher: IAP
Release Date : 2024-07-01
Mathematics Instruction In Dual Language Classrooms written by Marco A. Bravo and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-01 with Education categories.
Language and culture play a critical role in the teaching of mathematics and this role intensifies when considering the teaching of mathematics in dual language classrooms. This book unpacks lessons learned from socio-cultural theory being applied to research of the teaching of mathematics to Emergent Bilinguals with the end of informing practice. Utilizing a socio-cultural lens, authors present the possibilities and limits of the teaching of mathematics in dual language programs (90/10; 50/50 models). Themes of translanguaging, disciplinary literacy instruction, and culturally responsive instruction are leveraged to test the potential of these constructs to assist Spanish/English Emergent Bilinguals access rigorous mathematics content. Authors also present limits to these models, as often they can overshadow the mathematics learning. We embrace a stance where language and literacy are seen as tools for content area learning and not as ends unto themselves.
Research Studies On Learning And Teaching Of Mathematics
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Author : Jinfa Cai
language : en
Publisher: Springer Nature
Release Date : 2023-08-02
Research Studies On Learning And Teaching Of Mathematics written by Jinfa Cai and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-02 with Education categories.
This book is about promising research advancements that sparked directly or indirectly from intellectual contributions by distinguished internationally recognized mathematics educator and researcher, Edward A. Silver. The features of this book include: A focus on the research areas that have benefited from Dr. Silver’s intellectual contributions and influence, such as designing instructional tasks, problem posing, problem solving, preservice teacher learning, in service teacher professional development, and mathematics assessment Chapters written by contributors who at one time were his doctoral or post-doctoral colleagues along with any invited co-authors A brief bio of Dr. Silver showing his intellectual journey, key milestones in his career, and scholarly accomplishments that sparked from his intellectual contributions
Daily Routines To Jump Start Math Class Middle School
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Author : John J. SanGiovanni
language : en
Publisher: Corwin Press
Release Date : 2018-07-31
Daily Routines To Jump Start Math Class Middle School written by John J. SanGiovanni and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-31 with Education categories.
"Too often, middle school and high school teachers say, ‘These students are lacking number sense.’ These books will help secondary teachers with good pedagogy to help build number sense in a creative way. John SanGiovanni and Eric Milou have created short routines that are teacher-friendly, with lots of examples, and easy to adapt to each teacher’s needs. These are the books that secondary teachers have been waiting for to help engage students in building number sense." Pamela J. Dombrowski, Secondary Math Specialist Geary County School District Junction City, KS Kickstart your middle school math class! Do your students need more opportunities do develop number sense and reasoning? Are you looking to get your students energized and talking about mathematics? Have you wondered how practical, replicable, and engaging activities would complement your mathematics instruction? This guide answers the question "What could I do differently?" by taking cues from some of the most effective types of routines commonly used to engage students in reasoning while developing and reinforcing their number sense. This book offers 20 different routines, all of which include content examples, extensions, and variations for grades 6–8. It includes a year’s worth of daily instructional material that you can use each class period to promote student reasoning and number sense. The routines in this book will help students Frequently revisit essential mathematical concepts Foster and shore up conceptual understanding Engage in mental mathematics, leading to efficiency and fluency Engage in mathematical discourse by constructing viable arguments and critiquing the reasoning of others Reason mathematically, which can improve performance on high-stakes assessments Move learning beyond "correctness" by valuing mistakes and discourse to encourage a growth mindset From trusted authors and experts John SanGiovanni and Eric Milou, this teacher-friendly resource will give you all the tools and tips you need to reinvent those critical first five or ten minutes of math class for the better!
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.
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!