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### Mathematics

Title | Author | Description |
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101 Great Ideas for Introducing Key Concepts in Mathematics | Alfred S. Posamentier and Herbert A. Hauptman | This book will help introduce concepts and topics common to all secondary mathematics curricula. It gives you the tools to bring new life into your math classes including Algebra, Geometry, Trigonometry, Probability and Statistics. |

5 Practices for Orchestrating Productive Mathematics Discussions | Margaret S. Smith and Mary Kay Stein | This book provides teachers with concrete guidance for engaging students in discussions that make the mathematics in classroom lessons transparent to all. These instructional practices are extremely timely in light of the focus on Standards for Mathematical Practice in the Common Core State Standards for Mathematics, and they will support teachers and student in engaging in these standards. |

About Teaching Mathematics, A K-8 Resource | Marilyn Burns | In this third edition, an entirely new section, "Questions Teachers Ask," addresses teachers' pedagogical questions about classroom management and instructional issues. From the many questions that Marilyn has received over the years, she selected those with the greatest appeal and that span the grades--from a first-grade teacher's query about students using their fingers to add and subtract to a middle school teacher's request for help with supporting group work in the classroom. |

Accessible Mathematics--10 Instructional Shifts that Raise Student Achievement | Steven Leinwand | In this book the author focuses on the crucial issue of classroom instruction. He scours the research and visits highly effective classrooms for practical examples of small adjustments to your teaching that lead to deeper student learning in math. Some of his 10 classroom-tested teaching shifts may surprise you and others will validate your thinking. But all of them will improve your students' performance. |

Achieving Fluency: Special Education and Mathematics | NCTM | This book is an "all in one," giving both general and special educators a condensed, concise best-practices manual for mathematics instruction. The book addresses content and pedagogical knowledge, as well as an overall understanding of the teaching and learning process for mathematics instruction, including planning, teaching, assessing, and responding to students' needs. |

All Hands on Deck, Math Games Using Cards and Dice | Joanne Currah, Jane Felling, and Cheryl MacDonald | The child-centered games included were created for use in the regular and special needs classroom, as well as in the home. The games format allows adults to observe and eveluate the thinking strategies and problem-solving strategies the children are using. The games included in this book create situations where children have opportunities to discover math concepts. The learning is self and peer directed. |

Anno's Magic Seeds | Mitsumasa Anno | This children's book tells the story of a gift from a wizard that makes Jack's fortune grow by ones and two, threes and fours, and then faster, challenging you to keep track of his riches. |

Anno's Mysterious Multiplying Jar | Masaichiro and Mitsumasa Anno | This children's book tells of amazing things happening in a jar. |

Books You Can Count On, Linking Mathematics and Literature | Rachel Griffiths and Margaret Clyne | This teaching resource is for primary schools. It provides a wide range of ideas for teaching mathematics through literature and can be used with any math program. It includes a mathematical overview, background information and notes on classroom organization, assessment, and evaluation. The book includes lesson outlines based on forty different stories and poems. Each activity includes a synopsis, preparation for teaching, mathematical aims, evaluation notes and suggestions for extension. |

Connecting Arithmetic to Algebra | Susan Jo Russell, Deborah Schifter, and Virginia Bastable | This book shows how investigating the behavior of the operations can move students forward. Nationally-known math educators Russell, Schifter, and Bastable and a group of collaborating teachers describe how elementary teachers can shape their instruction so that students learn to: notice and describe consistencies across problems, articulate generalizations about the behavior of the operations, and develop mathematical arguments based on representations to explain why such generalizations are or are not true. |

Connecting Mathematical Ideas, Middle School Video Cases to Support Teaching and Learning | Jo Boaler and Cathy Humphreys | In math, like any subject, real learning takes place when students can connect what they already know to new ideas. The authors offer a comprehensive way to improve your ability to help adolescents build connections between different mathematical ideas and representations and between domains like algebra and geometry. This book contains two CD's worth of video case studies from Humphreys’ own middle school classroom that show her encouraging students to bridge complex mathematical concepts with their prior knowledge. (2 copies) |

Cooperative Learning & Algebra 1, Secondary Activities | Becky Bride | "This book opens a whole new way to look at the Algebra I curriculum--that through the vocabulary development, exploratory investigations, and cooperative learning activities to process the curriculum, your students will have a grasp of Algebra I in a way that is unparalleled." |

Cut Down to Size at High Noon | Scott Sundby | This children's book leads readers on a math adventure through the wild west. |

Developing Essential Understanding of Addition & Subtraction Pre-K--Grade 2 | NCTM | This book focuses on essential knowledge for teachers about mathematical reasoning. It is organized around one big idea, supported by multiple smaller, interconnected ideas--essential understandings. Taking you beyond a simple introduction to mathematical reasoning, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students--and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing students' understanding of the topic. |

Developing Essential Understanding of Algebraic Thinking Grades 3-5 | NCTM | This book focuses on essential knowledge for teachers about mathematical reasoning. It is organized around one big idea, supported by multiple smaller, interconnected ideas--essential understandings. Taking you beyond a simple introduction to mathematical reasoning, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students--and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing students' understanding of the topic. |

Developing Essential Understanding of Expressions, Equations & Functions | NCTM | This book focuses on essential knowledge for teachers about mathematical reasoning. It is organized around one big idea, supported by multiple smaller, interconnected ideas--essential understandings. Taking you beyond a simple introduction to mathematical reasoning, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students--and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing students' understanding of the topic. |

Developing Essential Understanding of Geometry Grades 6-8 | NCTM | |

Developing Essential Understanding of Mathematical Reasoning Pre-K-Grade 8 | NCTM | |

Developing Essential Understanding of Multiplication and Division Grades 3-5 | NCTM | |

Developing Essential Understanding of Number & Numeration Pre-K--Grade 2 | NCTM | |

Developing Essential Understanding of Rational Numbers Grades 3-5 | NCTM | |

Developing Essential Understanding of Ratios, Proportions & Proportional Reasoning Grades 6-8 | NCTM | |

Developing Number Sense | Rusty Bresser and Caren Holtzman | Number sense is not a specific skill or concept but a broader idea that encompasses students’ ability to think and reason flexibly, make sound numerical judgments, and see numbers as useful. Along with computation and problem solving, number sense is an important part of instruction that builds arithmetic competence and confidence. These lessons are rich with strategies for helping children build their number sense. |

Doorbell Rang | Pat Hutchins | Ma has made delicious cookies for her two children. Suddenly the doorbell rings and rings in this delightful children's book. |

ED Thoughts: What We Know About Mathematics Teaching and Learning | John Sutton and Alice Krueger, Editors | The purpose of this book is to support standards-based reform of mathematics education. For each question addressed, background is provided from the perspectives of research and best practices, followed by implications for improving classroom instruction. |

Elementary and Middle School Mathematics--Teaching Developmentally | John A. Van de Walle, Karen S. Sharp, and Jennifer M. Bay-Williams | This book provides unparalleled depth of ideas and discussion to help mathematics coaches and other teacher leaders foster teachers' understanding of the mathematics they will teach and the most effective teaching methods for the various mathematics topics. |

Eyes on Math, A Visual Approach to Teaching Math Concepts | Marian Small | Eyes on Math is a unique teaching resource that provides engaging, full-color graphics and pictures with text showing teachers how to use each image to stimulate mathematical teaching conversations around key K-8 concepts. Teachers using the book can download the images for projection onto classroom white boards or screens. The questions and answers will help both students and teachers look more deeply and see the math behind the math! |

Finding the Connections, Linking Assessment, Instruction, and Curriculum in Elementary Mathematics | Jean Moon and Linda Schulman | This book emphasizes the conceptual links among assessment, instruction, and curriculum, focusing on classroom practices in grades K-6. It provides a model for integrating assessment with instruction, ideas for communicating with parents, students, and administrators, and guided opportunities to practice and reflect upon the assessment process. |

Five Easy Steps to a Balanced Math Program | Larry Ainsworth and Jan Christinson | Useful resource for classroom teachers, parents, principals, administrators, and others who are concerned about balancing the math requirements of their district with the demands of the classroom. |

Good Questions for Math Teaching--Why Ask Them and What to Ask Grades K-6 | Peter Sullivan and Pat Lilburn | Thought-provoking questions can transform classrooms into dynamic learning environments. Open-ended questions, coined "good questions" by Peter Sullivan and Pat Lilburn, prompt children to think creatively and critically. This useful book helps teachers define good questions, offers tips on how to create their own good questions, and includes a wide variety of questions for use in the classroom. Organized by subject area and age group, teachers can locate the topic their class is working on and then select questions appropriate for their students. |

Implementing the Common Core State Standards through Mathematical Problem Solving High School | Theresa J. Gurl, Alice F. Artzt, and Alan Sultan | This volume is one in a series from NCTM that equips classroom teachers with targeted, highly effective problems for achieving both goals at once. The 44 problems and tasks for students in this book are organized into the major areas of the high school Common Core: algebra, functions, geometry, statistics and probability, and number and quantity. Every domain that is required of all mathematics students is represented. |

It All Adds Up | Penny Skinner | This book describes effective teaching strategies and lessons that lead middle and upper primary students to become competent in computation, to build a clear understanding of the four operations, and to grow enthusiastic about mathematics. Computation is best taught through problems and investigations as these provide a context for learning and the purposeful application of skills, and they engross children. |

It’s The Story That Counts, More Children’s Books for Mathematics Learning K-6 | David J. Whitin and Sandra Wilde | This book uses a wealth of books and frequent samples of children’s work to show the powerful opportunities children’s literature can provide to think about mathematically. Whitin and Wilde highlight the voices of children, teachers, and authors, then focus on the books themselves, examining multicultural themes and images in mathematics texts, books on number system, statistics, and probability. |

Knowing and Teaching Elementary Mathematics | Liping Ma | This book describes the nature and development of the "profound understanding of fundamental mathematics" that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U. S. counterparts. (2 copies) |

Leading the Way, Principals and Superintendents Look at Math Instruction | Marilyn Burns | This book offers six stories of how administrators worked to improve mathematics instruction in their school district. Each situation is unique, and so is the approach each of these administrators took to improving the teaching of mathematics. Common to all the stories is the knowledge that improving mathematics instruction is a complex task that requires ongoing attention. |

Lenses on Learning, Instructional Leadership in Mathematics, Module 1 | Dale Seymour Publications, Pearson Learning Group | Lenses on Learning is a set of professional development seminars that were designed to help administrators think through ideas about elementary mathematics and to consider the implications in their own administrative responsibilities. (14 copies) |

Lenses on Learning, Observing Today's Mathematics Classroom, Module 3 | Dale Seymour Publications, Pearson Learning Group | Lenses on Learning is a set of professional development seminars that were designed to help administrators think through ideas about elementary mathematics and to consider the implications in their own administrative responsibilities. (13 copies) |

Lenses on Learning, Teacher Learning for Mathematics Instruction, Module 2 | Dale Seymour Publications, Pearson Learning Group | Lenses on Learning is a set of professional development seminars that were designed to help administrators think through ideas about elementary mathematics and to consider the implications in their own administrative responsibilities. (15 copies) |

Lessons for Algebraic Thinking, Grades 3-5 | Maryann Wickett, Katharine Kharas, and Marilyn Burns | The classroom treated lessons in this series help teachers see how instruction in Algebra builds on the instruction they’re already providing in arithmetic but also supports, enhances, and extends children’s work in both number and Geometry. Lessons cover a variety of algebraic topics, including patterns and pattern rules, functions, variables, and coordinate graphs. |

Math and Literature, Grades 2-3 | Marilyn Burns and Stephanie Sheffield | Writing in the same engaging style found in the first series, the authors provide more than twenty lessons to enrich math instruction. Each lesson: uses children's literature as a springboard into activities that engage children in mathematical problem solving and reasoning; provides children with fresh ways to gain repeat experiences with important mathematical concepts; and includes detailed descriptions of classroom experiences, plus many samples of student work. |

Math and Literature (Grades 4-6) | Rusty Bresser | This extension of the two popular K-3 books presents 20 literature-based lessons for grades 4-6. Rusty Bresser includes detailed descriptions of classroom-tested lessons that link mathematics with literature and writing. |

Math and Literature, Grades K-1 | Marilyn Burns and Stephanie Sheffield | Writing in the same engaging style found in the first series, the authors provide more than twenty lessons to enrich math instruction. Each lesson: uses children's literature as a springboard into activities that engage children in mathematical problem solving and reasoning; provides children with fresh ways to gain repeat experiences with important mathematical concepts; and includes detailed descriptions of classroom experiences, plus many samples of student work. |

Math and Literature (K-3) Book One | Marilyn Burns | This book shows primary teachers how to connect mathematics with the imaginative ideas in children's books. |

Math and Literature (K-3) Book Two | Stephanie Sheffield | This companion book to the popular Math and Literature (K-3) by Marilyn Burns presents 21 classroom-tested lessons that link mathematics with literature and writing. |

Math By All Means, Money, Grades 1-2 | Jane Crawford | This book presents a five-week unit of instruction that shows teachers how to help children learn about our monetary system. The unit presents a variety of games and activities that engage students with identifying coins and their values, counting money, and applying their learning to problem-solving situations. Students also have opportunities to develop number sense and computation skills. A special section provides lessons that use children's books to teach students about money. |

Math By All Means, Probability, Grades 1-2 | Bonnie Tank | This book shows teachers how to help children learn basic probability concepts. The unit presents a variety of games and investigations that engage students in making predictions, collecting data, and analyzing results. Using dice, cards, and spinners, they learn what makes a game fair or unfair and that some games are based on chance, some on strategy, and some on both. Students also have opportunities to develop number sense and computational skills. |

Math By All Means, Probability, Grades 3-4 | Marilyn Burns | This book presents a six-week unit of instruction that shows teachers how to use games, experiments, and investigations to help students predict outcomes, test predictions, and formulate probability theories. Students learn that some events are more likely than others and some events are equally likely. Sample sets of data are useful for making predictions about outcomes, and larger samples give more reliable information than do smaller samples. |

Mathematical Passage, Strategies for Promoting Inquiry in Grades 4-6 | David J. Whitin and Robin Cox | In this book the authors tell how they devised strategies and activities to nurture the same kind of initiative voice and ownership in mathematics that children display in writing their own stories and choosing their own books to read. They offer a wealth of information for teachers who want to make a similar kind of passage toward inquiry in mathematics. |

Mathematical Power, Lessons from a Classroom | Ruth Parker | Mathematical Power is a book that shows how to bring the goals of the NCTM standards to life in a classroom on a day-to-day basis. Although it is the story of one classroom, the implications go far beyond this classroom. As the teachers here struggle to examine their practices, teacher will connect with them and gain a clearer picture of what it means to teach mathematics for understanding. |

Mathematics Assessment: Myths, Models, Good Questions and Practical Suggestions | NCTM | This booklet is a collection of examples of assessment techniques that focus on student thinking. No longer can we rely on multiple-choice and short-answer tests to provide all the information on students’ mathematical attainments, progress and proficiencies. |

Mathematics, Pedagogy, and Secondary Teacher Education | Stephen I. Brown, John A. Dossey, Georg Schrage, and Erich Ch. Wittmann | This book sheds new light on what it means to integrate content and pedagogy in a teacher-education context. Whether new to the field or seasoned professionals, all secondary teachers are encouraged to view instructional issues in relation to their own experiences in learning mathematics. |

Math Matters Grades K-6: Understanding the Math You Teach | Suzanne H. Chapin and Art Johnson | This important book helps K-6 teachers clarify their own understanding of the mathematicsl concepts they are required to teach. It is a resource for math teaching no matter what instructional program is being used. Math Matters not only will help teachers become more comfortable with the important underlying ideas in the elementary math curriculum, it will also prompt teachers to ask better questions of students, explain ideas more accurately, and stress important relationships and concepts. |

Math Sense: The Look, Sounds, and Feel of Effective Instruction | Christine Moynihan | In Math Sense, Chris provides a series of self-assessment rubrics to help you identify the earmarks of a vibrant mathematics community that will help inform and refine your practice. (2 copies) |

Math Simulations, Intermediate | Karen P. Hall | Math Simulations is ideal for intermediate students. The easy-to-follow lesson design gives you maximum flexibility to adjust the curriculum to meet the needs of your students. Each lesson includes one or more objectives, suggested vocabulary, a list of materials, and a detailed explanation of the procedure needed to complete the simulation. |

Math We Need to “Know” and “Do”, Content Standards for Elementary and Middle Grades | Pearl Gold Solomon | This is a comprehensive resource to help elementary teachers to teach math effectively. Lovers and haters of math will benefit from this easy-to-use desk reference in creating lesson plans that adhere to the NCTM content standards and the findings of the TIMSS report. |

Math Work Stations--Independent Learning You Can Count On, K-2 | Debbie Diller | You'll find ideas to help children develop conceptual understanding and skills, use math vocabulary as they talk about their mathematical thinking, and connect big ideas to meaningful independent exploration and practice. This book details how to set up, manage, and keep math stations going throughout the year. |

Minds on Mathematics--Using Math Workshop to Develop Deep Understanding in Grades 4-8 | Wendy Ward Hoffer | The author explains the core elements of math workshop and then provides detailed strategies for implementing the workshop structure. Minds on Mathematics shows how to make the workshop model come to life in your classroom. |

Moving NSDC'S Staff Development Standards into Practice: Innovation Configurations | NSDC | This publication is a product of a partnership between the National Staff Development Council and the Southwest Educational Development Laboratory. The project led to the development of Innovation Configurations which add clarity to the standards by providing descriptive actions as practiced by five role groups, teachers, principals, central office staff, superintendents, and school board members. |

One Gorilla | Atsuko Morozumi | This children's book tells of a gorilla who counts other animals. |

One Hundred Hungry Ants | Elinor J. Pinczes | One hundred hungry ants go to a picnic but stop to change their line formation showing different divisions of 100 in this children's book. |

Putting Research into Practice in the Elementary Grades | NCTM | This book features almost 70 articles primarily from the research departments of Teaching Children Mathematics and Arithmetic Teacher. This is a valuable collection for teachers who want to use research to improve children’s mathematical understanding. It helps teachers examine and reflect on their own teaching and make instructional decisions. |

Putting the Practices into Action--Implementing the Common Core Standards for Mathematical Practice K-8 | Susan O'Connell and John SanGiovanni | The Standards for Mathematical Practice promise to elevate students' learning of math from knowledge to application and bring rigor to our math classrooms. But how can we incorporate the Practices into our teaching and ensure that our students develop these critical skills? The authors unpack each of the eight Practices and provide a wealth of practical ideas and activities to help you quickly integrate them into your existing math program. |

Read Any Good Math Lately? Children’s Books for Mathematical Learning, K-6 | David J. Whitin and Sandra Wilde | Mathematics always has a story behind it: measuring pigs, sharing cookies, calculating profits, weighing elephants, designing quilts, or cooking pancakes. Through stories learners come to view mathematics as a valuable tool for posing questions and solving problems. Children’s literature can be a powerful vehicle for sharing these stories with learners. Books provide an authentic context for using mathematics; they celebrate mathematics as a language for describing and framing our world. |

Reasoning and Sense-Making Problems and Activities for Grades 5-8 | NCTM | The book is organized into four chapters: Number and Operations, Measurement and Geometry, Data and Chance, and Algebra. The chapters show each problem with a goal statement, a list of needed materials, possible solutions, teacher's notes and ideas for extensions. Teacher's notes incllude the problem's mathematical goals, key information for implementing the problem, elaboration on students' possible strategies, and sample questions and answers. |

Rich & Engaging Mathematical Tasks Grades 5-9 | NCTM | This book, a collection of carefully selected articles from past issues of NCTM school journals, includes activities for teachers to use with their students to promote the understanding of the mathematical content. Articles are arranged into content strands and ordered within a strand to promote the development of important areas of mathematics. |

Roman Numerals I to MM | Arthur Geisert | A great lesson in Roman numerals is provided by this children's book. |

Sensible Mathematics--A Guide for School Leaders in the Era of Common Core State Standards | Steven Leinwand | Providing effective leadership for school mathematics programs is particularly challenging in an era of both ambitious Common Core State Standards and unprecedented pressure to raise mathematics achievement. The author provides principals, teacher leaders, math coaches, and administrators with specific guidance on how to make the necessary shifts in curriculum. |

Shuffling Into Math with Games for Kindergarten to Grade 3 | Joanne Currah, Jane Felling, and Cheryl MacDonald | The child-centered games included were created for use in the regular and special needs classroom, as well as in the home. The games format allows adults to observe and eveluate the thinking strategies and problem-solving strategies the children are using. The games included in this book create situations where children have opportunities to discover math concepts. The learning is self and peer directed. |

Small Steps, Big Changes: Eight Essential Practices for Transforming Schools Through Mathematics | Chris Confer and Marco Ramirez | 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--stories that will strike familiar chords for every educator. |

Teaching Fractions and Ratios for Understanding | Susan J. Lamon | This popular text addresses the urgent need for curriculum materials that corss traditional boundaries to include many of the elements that are integrated in the teaching/learning enterprise: mathematics content, teacher understanding, student thinking, teaching methods, instructional activities, and assessment. This book pushes readers beyond the limits of their current understanding of rational numbers, challenging them to refine and explain their thinking--without falling back on rules and procedures they have relied on throughout their lives. |

Testing Miss Malarkey | Judy Finchler | This book is a humorous overview of how standardized testing effects all members of a school. |

Tips for the Mathematics Teacher, Research-Based Strategies to Help Students Learn | Alfred S. Posamentier, Hope J. Harman, and Constanze Kaiser | Each chapter presents a collection of tips on different aspects of mathematics teaching in an organized, user-friendly manner. |

Visible Thinking in the K-8 Mathematics Classroom | Ted H. Hull, Don S. Balka, and Ruth Harbin Miles | Do you every wish your students could read each other's thoughts? Now they can--and so can you! Veteran mathematics educators Ted Hull, Don Galka and Ruth Harbin Miles explain why making students' thought processes visisble is the key to effective mathematics instruction. Their newest book contains numerous grade-specific sample problems and instructional strategies for teaching essential concepts such as number sense, fractions, and estimation. |

Young Mathematicians at Work, Constructing Fractions, Decimals, and Percents | Catherine Twomey Fosnot and Maarten Dolk | In this third volume of a series of three, Fosnot and Dolk focus on how children in grades 5-8 construct their knowledge of fractions, decimals, and percents. This book describes and illustrates what it means to do and learn mathematics, contrasts word problems with true problematic situations that support and enhance investigation and inquiry, provides strategies to help teachers turn their classrooms into math workshops and much, much more. ( 2 copies) |

Young Mathematicians at Work, Constructing Multiplication and Division | Catherine Twomey Fosnot and Maarten Dolk | In this second volume in a series of three, the authors concentrate on how to develop an understanding of multiplication and division in grades 3-5. This book examines several ways to engage and support children as they construct important strategies and big ideas related to multiplication. It takes a close look at these strategies and big ideas related to division and much more. (2 copies) |

Young Mathematicians At Work: Constructing Number Sense, Addition, and Subtraction | Catherine Twomey Fosnot and Maarten Dolk | The first in a three-volume set, Young Mathematicians At Work, focuses on young children between the ages of four and eight as they construct a deep understanding of number and the operations of addition and subtraction. Rather than offer unrelated activities, Fosnot and Dolk provide a concerted, unified description of development, with a focus on big ideas, progressive strategies, and emerging models. |

Zeroing In on Number and Operations | Linda Dacey and Anne Collins | When teachers talk with students about their number sense and computational skills, they're bound to uncover some surprising gaps in their understanding. Knowing how to identify and bridge those gaps is essential for helping students at all levels advance as mathematical thinkers. |

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