Five Practices For Orchestrating Productive Mathematical Discussion

Author: Margaret S. Smith
Publisher: Corwin
ISBN: 9781544337302
Size: 72.91 MB
Format: PDF, ePub, Docs
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The same five practices teachers know and love for planning and managing powerful conversations in mathematics classrooms, updated with current research and new insights on anticipating, lesson planning, and lessons learned from teachers, coaches, and school leaders. This framework for orchestrating mathematically productive discussions is rooted in student thinking to launch meaningful discussions in which important mathematical ideas are brought to the surface, contradictions are exposed, and understandings are developed or consolidated. Learn the 5 practices for facilitating effective inquiry-oriented classrooms: Anticipating what students will do and what strategies they will use in solving a problem Monitoring their work as they approach the problem in class Selecting students whose strategies are worth discussing in class Sequencing those students' presentations to maximize their potential to increase students' learning Connecting the strategies and ideas in a way that helps students understand the mathematics learned

Implementing Standards Based Mathematics Instruction

Author: Mary Kay Stein
Publisher: Teachers College Press
ISBN: 9780807739075
Size: 77.41 MB
Format: PDF, ePub, Docs
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Presents prevalent cases of maths instruction drawn from research of classroom lessons. The "Mathematical Tasks Framework", developed by the authors, offers teachers the means to evaluate instructional decisions, choice of materials and learning outcomes.

Principles To Actions

Author: National Council of Teachers of Mathematics
Publisher: National Council of Teachers of Mathematics, Incorporated
ISBN: 9780873537742
Size: 18.60 MB
Format: PDF
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This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.

More Good Questions

Author: Marian Small
Publisher: Teachers College Press
ISBN: 0807773026
Size: 38.14 MB
Format: PDF, ePub, Mobi
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We know that Differentiated Instruction helps all students to learn. Yet DI challenges teachers, and nowhere more than in mathematics. In this new book, written specifically for secondary mathematics teachers, the authors cut through the difficulties with two powerful and universal strategies that teachers can use across all math content: Open questions and Parallel tasks. Showing teachers how to get started and become expert with these strategies, this book also demonstrates how to use more inclusive learning conversations to promote broader student participation. Strategies and examples are organized around Big Ideas within the National Council of Teachers of Mathematics (NCTM) content strands. With particular emphasis on Algebra, chapters also address Number and Operations, Geometry, Measurement, and Data Analysis and Probability, with examples included for Pre-Calculus.

Language And Mathematics Education

Author: Judit N. Moschkovich
Publisher: IAP
ISBN: 161735161X
Size: 33.29 MB
Format: PDF, Kindle
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Issues of language in mathematics learning and teaching are important for both practical and theoretical reasons. Addressing issues of language is crucial for improving mathematics learning and teaching for students who are bilingual, multilingual, or learning English. These issues are also relevant to theory: studies that make language visible provide a complex perspective of the role of language in reasoning and learning mathematics. What is the relevant knowledge base to consider when designing research studies that address issues of language in the learning and teaching of mathematics? What scholarly literature is relevant and can contribute to research? In order to address issues of language in mathematics education, researchers need to use theoretical perspectives that integrate current views of mathematics learning and teaching with current views on language, discourse, bilingualism, and second language acquisition. This volume contributes to the development of such integrated approaches to research on language issues in mathematics education by describing theoretical perspectives for framing the study of language issues and methodological issues to consider when designing research studies. The volume provides interdisciplinary reviews of the research literature from four very different perspectives: mathematics education (Moschkovich), CulturalHistoricalActivity Theory (Gutiérrez, SenguptaIrving, & Dieckmann), systemic functional linguistics (Schleppegrell), and assessment (SolanoFlores). This volume offers graduate students and researchers new to the study of language in mathematics education an introduction to resources for conceptualizing, framing, and designing research studies. For those already involved in examining language issues, the volume provides useful and critical reviews of the literature as well as recommendations for moving forward in designing research. Lastly, the volume provides a basis for dialogue across multiple research communities engaged in collaborative work to address these pressing issues.

Small Steps Big Changes

Author: Chris Confer
Publisher: Stenhouse Publishers
ISBN: 1571108130
Size: 47.77 MB
Format: PDF, ePub, Mobi
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During the past two decades, Chris Confer and Marco Ramirez have worked to deepen and improve mathematics instruction at schools around the country. The authors identify eight tested principles that transform what can be an overwhelming process into a set of comprehensible and concrete steps. Each phase of the change process is brought to life through the stories and perspectives of teachers, coaches, and principals. --from publisher description.

Becoming A Reflective Mathematics Teacher

Author: Alice F. Artzt
Publisher: Routledge
ISBN: 1317691997
Size: 40.59 MB
Format: PDF, Mobi
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Ideal for preservice mathematics teachers who are taking methods courses or are student teaching, this research-based, activity-oriented guide offers a highly effective framework for teacher reflection and self-assessment. Highlighting inquiry-based, learner-centered teaching and grounded in a cognitive perspective, Becoming a Reflective Teacher of Mathematics, Third Edition features: Detailed observation instruments for observing other teachers Reflective activities that provide a structure for beginning teachers to think about their teaching Guidelines and instruments for supervisors to use when observing, conferencing with, and assessing beginning or student teachers The Third Edition of Becoming a Reflective Teacher of Mathematics is aligned with the latest standards for teaching mathematics including the Common Core State Standards-Mathematics, and the latest assessments for mathematics teacher certification which place a high priority on reflective practice. Thoroughly revised and updated throughout, the Third Edition continues to provide preservice and in-service mathematics teachers with practical ideas for developing and honing reflective and self-analytical skills needed to advance and improve instruction.

Mathematical Mindsets

Author: Jo Boaler
Publisher: John Wiley & Sons
ISBN: 1118418271
Size: 50.59 MB
Format: PDF, ePub, Docs
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Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.

Faster Isn T Smarter

Author: Cathy L. Seeley
Publisher: Math Solutions
ISBN: 1935099035
Size: 16.22 MB
Format: PDF, Mobi
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Nctm Past President Cathy L. Seeley shares her messages on today's most relevant topics and issues in education. Based on Cathy L. Seeley's award-winning nctm President's Messages, and including dozens of new messages, this must-have k-12 resource offers straight talk and common sense about some of today's most important, thought-provoking issues in education. With topics ranging from the impact of rising expectations and the trap of timed tests to the role of technology and the phenomenon of jumping on bandwagons, this book provides a base for lively discussion among elementary, middle, and high school teachers; leaders; policy makers; and families. This book contains 41 messages included in three sections: (1) School Mathematics for the 21st Century: Elementary and Secondary Mathematics in America; (2) Great Ideas Whose Time Has Come (and Gone?): Mathematics Issues Facing Schools and Districts; and (3) Real Students and Real Teachers: Mathematics in Today's Classroom. This book also contains the following: (1) Foreword by Marilyn Burns; (2) Introduction; (3) How to Use This Book; (4) Afterword: The Sum of the Parts Is Greater than Some of the Parts; (5) Acknowledgments; (6) Readings and References; (7) Index; and (8) About the Author.