Fosnot Math

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  fosnot math: Young Mathematicians at Work Catherine Twomey Fosnot, Maarten Ludovicus Antonius Marie Dolk, 2001 Explains how children between the ages of four and eight construct a deep understanding of numbers and the operations of addition and subtraction.
  fosnot math: Guided Math: A Framework for Mathematics Instruction Second Edition Laney Sammons, 2019-03-22 This instructional math framework provides an environment for mathematics that fosters mathematical thinking and understanding while meeting the needs of all students. Educators will learn how to effectively utilize small-group and whole-group instruction, manipulatives, math warm-ups, and math workshop to engage students in connecting mathematics to their own lives. Maximize the impact of your instruction with ideas for using ongoing assessment and differentiation strategies. This second edition resource provides practical guidance and sample lessons for grade-level bands K-2, 3-5, 6-8, and 9-12. Promote a classroom environment of numeracy and mathematical discourse with this essential professional resource for K-12 math teachers!
  fosnot math: Models of Intervention in Mathematics Catherine Twomey Fosnot, 2010 Explore successful models of intervention. No Child Left Behind has set the high expectation that every child meet grade level expectations. This publication synthesises the research on intervention programmes and best practises related to mathematical instructional pedagogy and differentiation to assist teachers, schools and school districts in improving the manner in which they serve children with challenges in mathematics. Includes Professional Development Facilitator's Guide.
  fosnot math: Knowing and Teaching Elementary Mathematics Liping Ma, 2010-03-26 Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.
  fosnot math: A Parent's Guide to Understanding Math Education in Today's Schools Cathrine Kellison, Catherine Twomey Fosnot, 2012-12-01 Mathematics education in the schools today often looks quite different to parents than what they remember from their past schooling. Emphasis has shifted away from pencil/paper arithmetic and drill, to mental arithmetic and a deep understanding of number and operation as a foundation for algebra. As a result of new standards, children today are expected to write mathematical arguments, choose appropriate models, analyze patterns, and solve problems. Some parents may be skeptical of the changes and create difficulties for schools trying to reform. Pressure from these parents who are upset may lead a school to abandon reform efforts to meet the new standards. Other parents are supportive of the changes but often feel inadequately prepared to help their children at home. Many even suffer from math anxiety. This book is designed to provide information to parents about the changes and why they have come about. Secondly, it provides much information about what parents can do at home to help their children be successful, including a section on mental computation and its importance in today's world dominated by handheld digital devices. The book and related DVD can also be beneficial to the home schooling market.
  fosnot math: Ages and Timelines Catherine Twomey Fosnot, 2008-03 Contexts for Learning Mathematics series is designed to support a conceptual understanding of essential mathematical ideas, strategies and models. Each unit provides a two-week sequence of investigation, minilessons, games, and other contexts for learning. The series' 18 classroom-tested units are organized into grade-appropriate levels.
  fosnot math: Maththatmatters 2 David Stocker, 2017 In his follow-up to the groundbreaking Maththatmatters, David Stocker gives us Maththatmatters2 a collection of 50 brilliant lessons for grades 6-9 that link mathematics and social justice. For educators keen to provide rich learning opportunities and differentiated content that engages students with their lived realities, these lessons are sure to spark meaningful discussions...and action.
  fosnot math: The Double-decker Bus Maarten Dolk, Catherine Twomey Fosnot, Nina Liu, 2008 Contexts for Learning Mathematics series is designed to support a conceptual understanding of essential mathematical ideas, strategies and models. Each unit provides a two-week sequence of investigation, minilessons, games, and other contexts for learning. The series' 18 classroom-tested units are organized into grade-appropriate levels.
  fosnot math: Bunk Beds and Apple Boxes Catherine Twomey Fosnot, 2008-03 Contexts for Learning Mathematics series is designed to support a conceptual understanding of essential mathematical ideas, strategies and models. Each unit provides a two-week sequence of investigation, minilessons, games, and other contexts for learning. The series' 18 classroom-tested units are organized into grade-appropriate levels.
  fosnot math: Groceries, Stamps, and Measuring Strips Frans Van Galen, Catherine Twomey Fosnot, 2008-03 Contexts for Learning Mathematics series is designed to support a conceptual understanding of essential mathematical ideas, strategies and models. Each unit provides a two-week sequence of investigation, minilessons, games, and other contexts for learning. The series' 18 classroom-tested units are organized into grade-appropriate levels.
  fosnot math: About Teaching Mathematics Marilyn Burns, 2007 A compendium of more than 240 classroom-tested lessons, this essential resource helps teachers build student understanding and skills and understand how children best learn math. In this third edition, Marilyn Burns has completely revised the first section to reflect what she has learned over the years from her classroom experience with students and her professional development experience with teachers. This section has also been expanded to address these important topics: teaching math vocabulary, incorporating writing into math instruction, linking assessment and instruction, and using children¿s literature to teach key math concepts. In an entirely new section, Marilyn addresses a wide range of questions she has received over the years from elementary and middle school teachers regarding classroom management and instructional issues.
  fosnot math: Developing Mathematical Reasoning Pamela Weber Harris, 2025-03-17 Math is not rote-memorizable. Math is not random-guessable. Math is figure-out-able. Author Pam Harris argues that teaching real math—math that is free of distortions—will reach more students more effectively and result in deeper understanding and longer retention. This book is about teaching undistorted math using the kinds of mental reasoning that mathematicians do. Memorization tricks and algorithms meant to make math easier are full of traps that sacrifice long-term student growth for short-lived gains. Students and teachers alike have been led to believe that they’ve learned more and more math, but in reality their brains never get any stronger. Using these tricks may make facts easier to memorize in isolation, but that very disconnect distorts the reality of math. In her landmark book Developing Mathematical Reasoning: Avoiding the Trap of Algorithms, Pam emphasizes the importance of teaching students increasingly sophisticated mathematical reasoning and understanding underlying concepts rather than relying on a set rule for solving problems. Now, in this first companion volume, Developing Mathematical Reasoning: The Strategies, Models, and Lessons to Teach the Big Ideas in Grades K-2, she demonstrates how counting and additive strategies serve as the foundation for creating efficient, accurate, and flexible thinkers. Everyone is capable of understanding and doing real math. This book: Gives step-by-step guidance on how to teach the strategies, models, and big ideas that foster confidence and long-term success, preparing students for increasingly complex mathematical challenges Offers the what to do to teach counting, addition, and subtraction in ways that promote reasoning over rote memorization Provides practical tools such as problem strings, models, classroom routines, and discussion questions designed to implement reasoning-based practices Includes supporting resources for creating a classroom culture where students see math as figure-out-able and gain confidence as mathematical thinkers By addressing common misconceptions about math and providing practical strategies for teaching real math, this book shows that everyone can use the mathematical relationships they already know to reason about new relationships. In other words, everyone can math-even the very youngest students!
  fosnot math: Minilessons for Early Multiplication and Division Willem Uttenbogaard, Catherine Twomey Fosnot, 2008-03 A resource of 75 minilessons designed to be used at the start of a math workshop and to last for ten to fifteen minutes.
  fosnot math: Math in the City Elise Craver, 2020-08-11 Book Features: • Ages 5-7, Grades K-2, Guided Reading Level K, Lexile measure 470L • 24 pages, 8 inches x 8 inches • Simple, easy-to-read pages with full-color pictures • Includes vocabulary list, photo glossary, and hands-on review activity • Reading/teaching tips and index included Math Learning Made Fun: In Math on My Path: Math in the City, your early reader explores the ways math hides in the city. With dogs to count, buildings to measure, and shapes on houses to sort, this 24-page book helps kids see math all around them. Bringing Math To Life: Part of the Math on My Path series, the fun book helps kindergarteners through 2nd graders think like math detectives as they explore familiar places for basic math concepts, including addition, subtraction, geometry, and more. Build Math And Reading Skills: As your child improves their number sense, this kids' book also helps your child learn essential reading comprehension skills with guided pre- and post-reading questions, reading tips, and post-reading activities. Leveled Books: Engaging, real-life photos and a photo glossary accompanied by simple, easy-to-read leveled text work together to engage your child in the story at a level they understand. Why Rourke Educational Media: Since 1980, Rourke Publishing Company has specialized in publishing engaging and diverse non-fiction and fiction books for children in a wide range of subjects that support reading success on a level that has no limits.
  fosnot math: Best Buys, Ratios, and Rates Catherine Twomey Fosnot, William Jacob, 2008-03 Contexts for Learning Mathematics series is designed to support a conceptual understanding of essential mathematical ideas, strategies and models. Each unit provides a two-week sequence of investigation, minilessons, games, and other contexts for learning. The series' 18 classroom-tested units are organized into grade-appropriate levels.
  fosnot math: The Mystery of the Meter Bill Jacob, John Michael Siegfried, Catherine Twomey Fosnot, 2007 Contexts for Learning Mathematics series is designed to support a conceptual understanding of essential mathematical ideas, strategies and models. Each unit provides a two-week sequence of investigation, minilessons, games, and other contexts for learning. The series' 18 classroom-tested units are organized into grade-appropriate levels.
  fosnot math: Field Trips and Fund-Raisers Catherine Twomey Fosnot, 2008-03 Contexts for Learning Mathematics series is designed to support a conceptual understanding of essential mathematical ideas, strategies and models. Each unit provides a two-week sequence of investigation, minilessons, games, and other contexts for learning. The series' 18 classroom-tested units are organized into grade-appropriate levels.
  fosnot math: Minilessons for Extending Multiplication and Division Catherine Twomey Fosnot, 2007
  fosnot math: Field Trips and Fund-raisers Catherine Twomey Fosnot, 2007 Contexts for Learning Mathematics series is designed to support a conceptual understanding of essential mathematical ideas, strategies and models. Each unit provides a two-week sequence of investigation, minilessons, games, and other contexts for learning. The series' 18 classroom-tested units are organized into grade-appropriate levels.
  fosnot math: Exploring Parks and Playgrounds Catherine Twomey Fosnot, Lynn D. Tarlow, 2008-03 Contexts for Learning Mathematics series is designed to support a conceptual understanding of essential mathematical ideas, strategies and models. Each unit provides a two-week sequence of investigation, minilessons, games, and other contexts for learning. The series' 18 classroom-tested units are organized into grade-appropriate levels.
  fosnot math: Bringing Math Students Into the Formative Assessment Equation Susan Janssen Creighton, Cheryl Rose Tobey, Eric Karnowski, Emily R. Fagan, 2015-01-21 Make formative assessment work for you—and your math students! Finally, formative assessment that adds up! Bringing Math Students Into the Formative Assessment Equation is the ultimate resource for helping teachers implement formative assessment in the middle school mathematics classroom. And it’s much more than that. With this research-based, teacher-tested guide, you won’t just learn effective teaching strategies—you’ll turn your students into self-regulated learners. They’ll monitor and assess their own progress—and communicate to you about it! Features include: A clear and manageable six-aspect instructional model Detailed strategies for helping students own their successes Real-life examples from middle school mathematics teachers Useful resources and a companion website to help you implement formative assessment in your classroom Formative assessment isn’t just for teachers anymore. With the help of this essential resource, you’ll work together with your students toward a common goal of math success. This book is outstanding. I would recommend it to any math educator. The depth of research integrated into practice is extensive and, as a result, it is the most practical book I have come across related to formative assessment and mathematics The self-regulation aspects, as well as the ownership and involvement emphasized in the book, went beyond the traditional cognitive strategies endorsed in most books. Marc Simmons, Principal Ilwaco Middle School, Ocean Beach School District, Long Beach, WA The ideas in this book are brought to life with examples of teachers and students in the classroom. The teacher voices, comments, and quotes lend credibility and are a big component of the book’s strengths as well as the visuals and graphics. Rita Tellez, Math Coordinator Ysleta Independent School District, El Paso, TX
  fosnot math: Transforming Children's Mathematics Education Leslie P. Steffe, Terry Wood, 2013-11-05 Eminent scholars from around the globe gathered to discuss how educational systems would change if the prevailing principles of constructivism were applied to three major aspects of those systems -- knowledge and learning, communication, and environment. This volume provides documentation of the proceedings of this important meeting - - the Early Childhood Action Group of the Sixth International Congress on Mathematics Education. This international assembly, representing such diverse disciplines as mathematics and math education, epistemology, philosophy, cognitive science, psycholinguistics, and science education, is the first to examine early childhood mathematics education from constructivist and international perspectives in addition to formulating recommendations for future work in the field.
  fosnot math: Rhoda Red and Loretta Leghorn Catherine Twomey Fosnot, Janan Hamm, 2018-03-25 This kindergarten unit in the Contexts for Learning Mathematics series introduces the 5- and 10-bead Mathracks(TM). The unit builds on children's innate ability to subitize small amounts (1, 2, and 3) and uses it to develop the five-structure, eventually supporting children to see 5 inside of 7, and 5 inside of 8, for example. In the second week of the unit the 10-structure is developed, first as 5+5, and then relationships between equivalent facts are explored and developed using compensation and associativity, for example, 3+7=4+6=5+5.
  fosnot math: Reggio-Inspired Mathematics Richmond School District, 2015-09-03 This booklet documents our school district's collaborative inquiry project looking at how Reggio-inspired practices can inform and enhance primary mathematics teaching and learning.
  fosnot math: Minilessons for Operations with Fractions, Decimals, and Percents Kara Imm, Willem Uttenbogaard, Catherine Twomey Fosnot, 2008-02-29 A resource of 75 minilessons designed to be used at the start of a math workshop and to last for ten to fifteen minutes.
  fosnot math: Reconstructing Mathematics Education Deborah Schifter, Cathy T. Fosnot, 1992-12-01 The reader is invited into classrooms to observe students engaged in mathematical activity: second graders hypothesizing about even and odd numbers; third graders demonstrating commutativity of multiplication; sixth graders puzzling over the mysteries of fractions. In each situation, the authors consider the teacher's intentions in designing the activity, the instructional decisions she makes as the children engage it, and her reflections afterward.
  fosnot math: The Teachers' Lounge Chris Natale, Catherine Twomey Fosnot, 2007 Contexts for Learning Mathematics series is designed to support a conceptual understanding of essential mathematical ideas, strategies and models. Each unit provides a two-week sequence of investigation, minilessons, games, and other contexts for learning. The series' 18 classroom-tested units are organized into grade-appropriate levels.
  fosnot math: Muffles' Truffles Antonia Cameron, Catherine Twomey Fosnot, 2008-03 Contexts for Learning Mathematics series by Catherine Fosnot and colleagues from Mathematics in the City and the Freudenthal Institute uses carefully crafted math situations to foster a deep conceptual understanding of essential mathematical ideas, strategies, and models.
  fosnot math: Math Exchanges Kassia Omohundro Wedekind, 2011 Traditionally, small-group math instruction has been used as a format for reaching children who struggle to understand. Math coach Kassia Omohundro Wedekind uses small-group instruction as the centerpiece of her math workshop approach, engaging all students in rigorous math exchanges. The key characteristics of these mathematical conversations are that they are: 1) short, focused sessions that bring all mathematical minds together, 2) responsive to the needs of the specific group of mathematicians, and 3) designed for meaningful, guided reflection. As in reading and writing workshop, students in math workshop become self-directed and independent while participating in a classroom community of learners. Through the math exchanges, students focus on number sense and the big ideas of mathematics. Teachers guide the conversations with small groups of students, mediating talk and thinking as students share problem-solving strategies, discuss how math works, and move toward more effective and efficient approaches and greater mathematical understanding. Although grounded in theory and research, Math Exchanges: Guiding Young Mathematicians in Small Group Meetings is written for practicing teachers and answers such questions as the following: How can I use a math workshop approach and follow a certain textbook or set of standards? How should I form small groups? How often should I meet with small groups? What should I focus on in small groups? How can I tell if my groups are making progress? What do small-group math exchanges look like, sound like, and feel like?
  fosnot math: Let's Play Math Denise Gaskins, 2012-09-04
  fosnot math: Early Childhood Math Routines Antonia Cameron, Patricia Gallahue, Danielle Iacoviello, 2023-10-10 One of the many challenges facing early childhood teachers is how to meet academic standards while creating learning environments that honor young children’s mathematical curiosity. In Early Childhood Math Routines Empowering Young Minds to Think, author Toni Cameron introduces us to a set of short whole-group and partner routines designed to engage young children in meaningful math thinking and build problem-solving communities. With contributions from Patricia Gallahue and Danielle Iacoviello, Cameron reimagines traditional math routines and introduces brand new routines that focus on the important mathematical ideas of early childhood. Through stories, classroom examples, and resources, Cameron offers you the tools to get started right away with these routines. Inside you'll find the following resources: Innovative routines of student-teacher dialogue and teaching analysis to support you in planning and facilitating; Clear explanations of the big mathematical ideas in early childhood math; Access to a robust companion website which includes; downloadable and printable cards/gameboards, over 30 slide decks for facilitating routines, additional practice routines, supplemental readings, and a place value interview assessment; A day-by-day suggested planning guide to introducing and developing each routine in your classroom; Learn from Cameron's experience supporting the complexities of early childhood mathematics while also building communities that foster social, emotional, and cognitive development in young children. Get the tools and routines that will help you connect children to mathematics in a way that is exciting and powerful.
  fosnot math: Number Talks Sherry Parrish, 2010 A multimedia professional learning resource--Cover.
  fosnot math: Conferring with Young Mathematicians at Work Catherine Twomey Fosnot, Fosnot, 2016-07-10 Questioning has become one of the biggest challenges of teachers everywhere as they rise to the challenge of transforming their classrooms into communities of mathematicians. The CCSS Standards of Mathematical Practice require that children engage in problem solving with tenacity and confidence, use models as tools for thinking, and read and write viable arguments. This mandate demands that teachers foster a climate conducive to the generating of mathematics rather than the explanation of it. This book sets the bar for providing suggestions on how to question and confer--how to teach and mentor young mathematicians in elementary classrooms. Written by a leading author in the field, the book describes characteristics of powerful conferrals, and shows how to make the moments matter. Developmental frameworks, ways of assessing in the moment, and tips on how to help children get started and overcome math anxiety are all described as well as several example conferrals. Video clips of the author and several exemplary teachers conferring with students are provided throughout as illustrations.
  fosnot math: Mathematizing Children's Literature Allison Hintz, Antony T. Smith, 2023-10-10 Many teachers use traditional counting and shape books in math class. But what would happen if we approached any story with a math lens? How might mathematizing children's literature give learners space to ask their own questions, and make connections between stories, their lives, and the world around them? These are the questions authors Allison Hintz and Antony T. Smith set out to explore in Mathematizing Children's Literature: Sparking Connections, Joy, and Wonder Through Read-Alouds and Discussion as they invite us to consider fresh ways of using interactive read-alouds to nurture students as both readers and mathematicians. Inside Mathematizing Children's Literature, you'll learn how to do the following: Select picture books according to the goals of the read aloud experience Plan and facilitate three styles of read aloud discussions - Open Notice and Wonder, Math Lens, and Story Explore Utilize Idea Investigations - experiences that invite students to pursue literacy and math-focused ideas beyond the pages of the read aloud Connect with students' families and communities through stories Along the way, Hintz and Smith provide a wide range of picture book suggestions and appendices that include ready-to-use lesson planning templates, a form for notes, and a bookmark of guiding questions. Mathematizing Children's Literature is a practical resource you'll find yourself referring to frequently.
  fosnot math: Making Sense of Math Cathy L. Seeley, 2016-04-05 In Making Sense of Math, Cathy L. Seeley, former president of the National Council of Teachers of Mathematics, shares her insight into how to turn your students into flexible mathematical thinkers and problem solvers. This practical volume concentrates on the following areas: * Making sense of math by fostering habits of mind that help students analyze, understand, and adapt to problems when they encounter them. * Addressing the mathematical building blocks necessary to include in effective math instruction. * Turning teaching “upside down” by shifting how we teach, focusing on discussion and analysis as much as we focus on correct answers. * Garnering support for the changes you want to make from colleagues and administrators. Learn how to make math meaningful for your students and prepare them for a lifetime of mathematical fluency and problem solving.
  fosnot math: Beads and Shoes, Making Twos Madeline Chang, Catherine Twomey Fosnot, 2008-03 Contexts for Learning Mathematics series is designed to support a conceptual understanding of essential mathematical ideas, strategies and models. Each unit provides a two-week sequence of investigation, minilessons, games, and other contexts for learning. The series' 18 classroom-tested units are organized into grade-appropriate levels.
  fosnot math: The California Frog-Jumping Contest William Jacob, Catherine Twomey Fosnot, 2008-03 Contexts for Learning Mathematics series is designed to support a conceptual understanding of essential mathematical ideas, strategies and models. Each unit provides a two-week sequence of investigation, minilessons, games, and other contexts for learning. The series' 18 classroom-tested units are organized into grade-appropriate levels.
  fosnot math: A Practical Guide to Transforming Primary Mathematics Mike Askew, 2015-07-30 A Practical Guide to Transforming Primary Mathematics offers inspiration and ideas for all training and practising teachers committed to making mathematics enjoyable, inclusive, engaging and successful. The companion to Mike Askew’s bestselling book, Transforming Primary Mathematics, this practical guide focuses on showing you how to unlock the powerful potential of a small set of consistent principles and practices, known as the teaching tripod, to develop a coherent approach to teaching mathematics. Organised around the major strands of the curriculum - number, calculations, shape and space, measures, and data handling – it offers an accessible introduction to the teaching tripod, a careful choice of tasks, supported by a range of tools that extend our natural abilities and held together by careful attention to classroom talk. A range of classroom tasks, each including key learning outcomes, clear links to the framework, links to relevant research, and suggestions for making the tasks easier or harder, are offered for every topic, helping you plan units of work for meaningful learning. A Practical Guide to Transforming Primary Mathematics offers all teachers a vision, rationale and ideas for how teaching can support better learning of mathematics but also encourage learners to see themselves as being capable of learning mathematics, and wanting to learn it.
  fosnot math: Constructivism Catherine Twomey Fosnot, 1996 Part I, which covers the theoretical aspects of constructivism, includes chapters from Ernst von Glasersfeld, Catherine Twomey Fosnot, and Paul Cobb. In Part II, Candace Julyan, Eleanor Duckworth, Deborah Schifter, June S. Gould, Rheta DeVries, Betty Zan, and Maxine Greene provide perspectives from the field. Part III, which explores practices in the classroom, features work from Jill Bodner Lester, Susan Cowey, George Forman, Dewey Dykstra, Jr.
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