Mathematical Discourse: Let the Kids Talk!

Mathematical Discourse: Let the Kids Talk! PDF

Author: Barbara Blanke

Publisher: Shell Education

Published: 2019-12-10

Total Pages: 186

ISBN-13: 0743922336

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This invaluable resource provides teachers with the tools they need to facilitate mathematical discourse and create opportunities for students to think constructively, communicate effectively, and increase mathematics proficiency. This book will help teachers develop a new set of pedagogical skills and strategies to assess, plan, and organize their classrooms in a manner that is conducive to mathematical discourse. With helpful tips and strategies that are easy to implement, this standards-based book supports an equitable learning environment by encouraging active listening, clear communication, justification of perspective, and acknowledgement of students' experiences. Each chapter includes Culturally and Linguistically Responsive Teaching and Learning strategies to address cultural norms for diverse populations, and support the needs of English language learners. With tips for implementing Math Talks and Number Talks, this resource will get students thinking like mathematicians in no time.

Hands Down, Speak Out

Hands Down, Speak Out PDF

Author: Kassia Omohundro Wedekind

Publisher: Taylor & Francis

Published: 2023-10-10

Total Pages: 249

ISBN-13: 1003841031

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Few skills are as critical or as rare today as the ability to hear and comprehend what other people are saying. The authors of' Hands Down, Speak Out' argue that we need new tools to teach the art of listening and they' ve put forward a simple yet transformative model for encouraging student conversations that are inclusive, empowering, and rich in content. This classroom guide for grades K-5 is particularly needed in the aftermath of two disrupted school years.' ' Teaching Foundational Skills Across Subjects:' Hands Down, Speak Out' is a practical guide for teaching listening and talking skills that span both literacy and math instruction and can be applied to a multitude of curriculums. K-5 Classroom Management Focused on Dialogue: Too often, the practice of hand-raising favors the performance of answers by a few students over the construction of meaning involving the whole class. Help' all' students develop dialogue skills that will deepen their understanding of literacy and mathematics, as well as of themselves, their communities, and the world. 28 Student-Centered Micro Lessons: Each of these short, incremental lessons build specific skills during content instruction rather than taking time away from it. Students will be energized by a discourse structure in which their ideas and voices take the lead while teachers focus on listening and facilitating. Nurturing Disagreements: The authors' provide guidance for managing difficult conversations by teaching students to engage in debate and discussion in a way that values listening equally with talking. Students are able to spend time developing active listening and speaking skills in a constructive environment. When we build talk communities with children, our greatest hope is that what they learn through talking about reading, writing, and math is matched by what they learn about living in the world with others, write Kassia Omohundro Wedekind and Christy Hermann Thompson.' Hands Down, Speak Out' demonstrates how teachers and leaders can run inclusive and accessible classrooms that respect each student' s level of participation.

Number Talks

Number Talks PDF

Author: Sherry Parrish

Publisher: Math Solutions

Published: 2010

Total Pages: 434

ISBN-13: 1935099116

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"A multimedia professional learning resource"--Cover.

Intentional Talk

Intentional Talk PDF

Author: Elham Kazemi

Publisher: Taylor & Francis

Published: 2023-10-10

Total Pages: 171

ISBN-13: 1003843948

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Math teachers know the first step to meaningful mathematics discussions is to ask students to share how they solved a problem and make their thinking visible; however, knowing where to go next can be a daunting task. In Intentional Talk: How to Structure and Lead Productive Mathematical Discussions , authors Elham Kazemi and Allison Hintz provide teachers with a framework for planning and facilitating purposeful math talks that move group discussions to the next level while achieving a mathematical goal.Through detailed vignettes from both primary and upper elementary classrooms, the authors provide a window into how teachers lead discussions and make important pedagogical decisions along the way. By creating equitable opportunities to share ideas, teachers can orient students to one another while enforcing that all students are sense makers and their ideas are valued. They examine students' roles as both listeners and talkers, offering numerous strategies for improving student participation.Intentional Talk includes a collection of lesson planning templates in the appendix to help teachers apply the right structure to discussions in their own classrooms.

Mathematics for Human Flourishing

Mathematics for Human Flourishing PDF

Author: Francis Su

Publisher: Yale University Press

Published: 2020-01-07

Total Pages: 287

ISBN-13: 0300237138

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"The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.

Routines for Reasoning

Routines for Reasoning PDF

Author: Grace Kelemanik

Publisher: Heinemann Educational Books

Published: 2016

Total Pages: 0

ISBN-13: 9780325078151

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Routines can keep your classroom running smoothly. Now imagine having a set of routines focused not on classroom management, but on helping students develop their mathematical thinking skills. Routines for Reasoning provides expert guidance for weaving the Standards for Mathematical Practice into your teaching by harnessing the power of classroom-tested instructional routines. Grace Kelemanik, Amy Lucenta, and Susan Janssen Creighton have applied their extensive experience teaching mathematics and supporting teachers to crafting routines that are practical teaching and learning tools. -- Provided by publisher.

Rough Draft Math

Rough Draft Math PDF

Author: Amanda Jansen

Publisher: Taylor & Francis

Published: 2023-10-10

Total Pages: 224

ISBN-13: 1003839126

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Talking and writing about unfinished ideas is vital to learning mathematics, but most students only speak up when they think they have the right answer - especially middle school and high school students. Amanda Jansen and her collaborating teachers have developed a breakthrough approach to address this challenge. Rough Draft Math: Revising to Learn, Jansen shares the power of infusing math class with the spirit of revision so that students feel comfortable thinking aloud as they problem-solve rather than talking only to perform right answers. Creating a Community of Learners: As part of the rough draft framework, a class of students becomes an equitable and inclusive community of thinkers, one where students feel safe to engage in discourse while developing mathematical competency and confidence Practical Application of Innovative Ideas: This book includes specific teaching techniques and a range of classroom vignettes showing rough draft math in action within a student-centered teaching approach. Children can develop solutions at their own pace and share thought processes behind their conclusions Classroom Tested: Jansen has developed the concept of rough draft math in collaboration with a diverse group of dynamic and reflective teachers. Rough Draft Math' provides a blueprint for educators to allow free-thinking discussion while maintaining the mathematical learning goalsRough Draft Math, Jansen shows how to create an energetic classroom culture where students readily participate and share their evolving understanding while engaging in math talk, collaborative problem solving, and ongoing revision of ideas. '

Math Fact Fluency

Math Fact Fluency PDF

Author: Jennifer Bay-Williams

Publisher: ASCD

Published: 2019-01-14

Total Pages: 206

ISBN-13: 1416627227

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This approach to teaching basic math facts, grounded in years of research, will transform students' learning of basic facts and help them become more confident, adept, and successful at math. Mastering the basic facts for addition, subtraction, multiplication, and division is an essential goal for all students. Most educators also agree that success at higher levels of math hinges on this fundamental skill. But what's the best way to get there? Are flash cards, drills, and timed tests the answer? If so, then why do students go into the upper elementary grades (and beyond) still counting on their fingers or experiencing math anxiety? What does research say about teaching basic math facts so they will stick? In Math Fact Fluency, experts Jennifer Bay-Williams and Gina Kling provide the answers to these questions—and so much more. This book offers everything a teacher needs to teach, assess, and communicate with parents about basic math fact instruction, including The five fundamentals of fact fluency, which provide a research-based framework for effective instruction in the basic facts. Strategies students can use to find facts that are not yet committed to memory. More than 40 easy-to-make, easy-to-use games that provide engaging fact practice. More than 20 assessment tools that provide useful data on fact fluency and mastery. Suggestions and strategies for collaborating with families to help their children master the basic math facts. Math Fact Fluency is an indispensable guide for any educator who needs to teach basic math facts.

Academic Conversations

Academic Conversations PDF

Author: Jeff Zwiers

Publisher: Taylor & Francis

Published: 2023-10-10

Total Pages: 249

ISBN-13: 1003843298

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Conversing with others has given insights to different perspectives, helped build ideas, and solve problems. Academic conversations push students to think and learn in lasting ways. Academic conversations are back-and-forth dialogues in which students focus on a topic and explore it by building, challenging, and negotiating relevant ideas. In Academic Conversations: Classroom Talk that Fosters Critical Thinking and Content Understandings authors Jeff Zwiers and Marie Crawford address the challenges teachers face when trying to bring thoughtful, respectful, and focused conversations into the classroom. They identify five core communications skills needed to help students hold productive academic conversation across content areas: Elaborating and Clarifying Supporting Ideas with Evidence Building On and/or Challenging Ideas Paraphrasing Synthesizing This book shows teachers how to weave the cultivation of academic conversation skills and conversations into current teaching approaches. More specifically, it describes how to use conversations to build the following: Academic vocabulary and grammar Critical thinking skills such as persuasion, interpretation, consideration of multiple perspectives, evaluation, and application Literacy skills such as questioning, predicting, connecting to prior knowledge, and summarizing An academic classroom environment brimming with respect for others' ideas, equity of voice, engagement, and mutual support The ideas in this book stem from many hours of classroom practice, research, and video analysis across grade levels and content areas. Readers will find numerous practical activities for working on each conversation skill, crafting conversation-worthy tasks, and using conversations to teach and assess. Academic Conversations offers an in-depth approach to helping students develop into the future parents, teachers, and leaders who will collaborate to build a better world.

Exploration, Not Explanation

Exploration, Not Explanation PDF

Author: Jessyann Ceron

Publisher:

Published: 2019

Total Pages: 116

ISBN-13:

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Education is constantly changing. This thesis aims to find a solution for the disparities in mathematics education and student performance. It is significant because the research methods applied can be used for a variety of grades and subject areas. Studies have been conducted to analyze the benefits of engaging students in discourse, however there is little research that applies student discourse in the primary grades. The research question is: How can student-led discussions guided by Intentional Talk's protocols help kindergarten students to increase engagement and deepen their understanding of mathematics concepts? The methods for this study included 22 kindergarten students in a self-contained classroom from a public charter school. The students were introduced to Intentional Talk's Talk Moves to facilitate their discussion amongst each other with limited support from the teacher. Ten lessons were videotaped throughout the school year. In these lessons, discourse interactions were analyzed through the use of hub-and-spoke diagrams which show the amount of times each student engaged in discourse and with whom. The study consisted of three phases. First, students were instructed using the California Go Math! Kindergarten curriculum and activities. Then, students were introduced to Talk Moves when discussing meaningful tasks. During the final phase, students engaged in discourse with the use of Talk Moves more independently. Students were filmed for five lessons during the last two phases of instrumentation. I determined how many Talk Moves students incorporated during a discussion, and how the protocols impacted the Talk Moves. The student performance results at the completion of the first trimester demonstrated a need for intervention because 68% of students did not meet the kindergarten mathematical standards. Once meaningful tasks and student-led discussions were introduced, eight students were able to rise to the next level of mathematics achievement. Once the final phase concluded, an additional six students were able to increase an achievement level. A total of 55% of students demonstrated growth, and 73% of students were able to meet or exceed the expected standards. The results of the study depict dramatic growth on the students' part in their mathematical performance. Further research with a larger focus group would be beneficial in determining the advantages of using Talk Moves and protocols to engage young learners in mathematical discussions.