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| catherine 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. |
| catherine 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. |
| catherine 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. |
| catherine 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. |
| catherine 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. |
| catherine 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. |
| catherine 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. |
| catherine fosnot math: Minilessons for Extending Multiplication and Division Catherine Twomey Fosnot, 2007 |
| catherine 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. |
| catherine 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. |
| catherine 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. |
| catherine fosnot math: Contexts for Learning Mathematics Level 1 Read-Alouds Catherine Twomey Fosnot, 2007-04 Building learning around rich, instructionally sound contexts was an overarching goal during the development of the Contexts for Learning Mathematics series. Throughout the series context is used to set the stage for learning. It establishes a terrain that will intrigue children and ignite their imaginations. The contexts are situations children can imagine - either realistic or fictional - that enable them to reflect on what they are doing and apply mathematical thinking to their own world. Contexts for investigations are typically developed with stories and pictures. These are carefully crafted to involve students in meaningful investigations of the big ideas, strategies, and models that shape mathematical thinking. - The images and texts are engaging and include age-appropriate children using mathematics to solve real-world problems. - The numbers referenced represent landmark numbers or number relationships that are significant and telling. - The models and metaphors within a context make relationships and strategies more tangible and explicit. The contexts for the eight units in Investigating Number Sense, Addition, and Subtraction (Grades K - 3) are established through eight engaging read-aloud books (15 x 12) that meld humor, intrigue, and good math sense. To learn more visit www.contextsforlearning.com |
| catherine 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 |
| catherine fosnot math: Number Talks Sherry Parrish, 2010 A multimedia professional learning resource--Cover. |
| catherine 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. |
| catherine 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. |
| catherine 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. |
| catherine fosnot math: Math Running Records in Action Nicki Newton, 2016-06-17 In this new book from popular consultant and bestselling author Dr. Nicki Newton, you’ll discover how to use Math Running Records to assess students’ basic fact fluency and increase student achievement. Like a GPS, Math Running Records pinpoint exactly where students are in their understanding of basic math facts and then outline the next steps toward comprehensive fluency. This practical book introduces a research-based framework to assess students’ thinking and move them toward becoming confident, proficient, flexible mathematicians with a robust sense of numbers. Topics include: Learning how often to administer Math Running Records and how to strategically introduce them into your existing curriculum; Analyzing, and interpreting Math Running Records for addition, subtraction, multiplication, and division; Using the data gathered from Math Running Records to implement evidence-based, research-driven instruction. Evaluating students’ speed, accuracy, flexibility, and efficiency to help them attain computational fluency; Each chapter offers a variety of charts and tools that you can use in the classroom immediately, and the strategies can easily be adapted for students at all levels of math fluency across grades K-8. Videos of sample running records are also available for download at https://guidedmath.wordpress.com/math-running-records-videos. Blackline masters are available on the Running Records Dropbox at https://bit.ly/3gnggIq |
| catherine fosnot math: International Reflections on the Netherlands Didactics of Mathematics Marja van den Heuvel-Panhuizen, 2019-08-13 This open access book, inspired by the ICME 13 Thematic Afternoon on “European Didactic Traditions”, takes readers on a journey with mathematics education researchers, developers and educators in eighteen countries, who reflect on their experiences with Realistic Mathematics Education (RME), the domain-specific instruction theory for mathematics education developed in the Netherlands since the late 1960s. Authors from outside the Netherlands discuss what aspects of RME appeal to them, their criticisms of RME and their past and current RME-based projects. It is clear that a particular approach to mathematics education cannot simply be transplanted to another country. As such, in eighteen chapters the authors describe how they have adapted RME to their individual circumstances and view on mathematics education, and tell their personal stories about how RME has influenced their thinking on mathematics education. |
| catherine 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. |
| catherine 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. |
| catherine 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. |
| catherine fosnot math: Maisy Goes Camping Lucy Cousins, 2011-11-15 Five in the tent! A camping trip with Maisy turns into a slapstick comedy of errors in this hilarious picture-book adventure (ages 2-5). When Maisy sets off to go camping in the country, it’s only natural that all her friends come along, too. But they soon find that pitching a tent is not an easy thing to do. Even if they do manage to keep the tent up, there’s the matter of fitting them all in -- Maisy, Charley, Cyril, Tallulah, and finally, the huge elephant, Eddie. What a squeezy squish-squash! Good night, campers! Uh-oh-what’s that popping sound? |
| catherine 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. |
| catherine fosnot math: The Mystery of the Meter William Jacob, John Michael Siegfried, 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. |
| catherine 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. |
| catherine fosnot math: The Big Dinner Catherine Twomey Fosnot, 2008-03 The focus of this unit is the development of multiplication, including the automatizing the facts, using the ratio table, and developing the distributive property with large numbers. .. -- Unit overview, p. 5. |
| catherine 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. |
| catherine fosnot math: Making Sense James Hiebert, 1997 This book presents several key principles for teaching mathematics for understanding that you can use to reflect on your own teaching, make more informed decisions, and develop more effective systems of instruction. |
| catherine fosnot math: Democracy and Mathematics Education Kurt Stemhagen, Catherine Henney, 2021-05-06 In Democracy and Mathematics Education, Kurt Stemhagen and Catherine Henney develop a way of thinking about the nature and purposes of math that is inclusive, participatory, and thoroughly human. They use these ideas to create a school mathematics experience that can enhance students’ math abilities and democratic potential. They locate mathematics’ origins in human activity and highlight the rich but often overlooked links between mathematical activity and democratic, social practices. Democratic mathematics education foregrounds student inquiry and brings to light the moral dimensions of a discipline that has both remarkable utility and inevitable limitations. For math educators, the book’s humanities approach helps to see the subject anew. For philosophers, it provides an important real world context for wrestling with perennial and timely questions, engaging democratic and evolutionary theory to transform school math. This alternative approach to mathematics and mathematics education provides a guide for how to use math to make democracy a larger part of school and wider social life. 2021 Winner of the AESA Critics’ Choice Book Award. |
| catherine fosnot math: Mastering the Basic Math Facts in Multiplication and Division Susan O'Connell, John SanGiovanni, 2011 Presents an approach to teaching basic math facts to young students, featuring instructional strategies, tips, and classroom activities. Includes a CD-ROM with customizable activities, templates, recording sheets, and teacher tools. |
| catherine fosnot math: Principles to Actions National Council of Teachers of Mathematics, 2014-02 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. |
| catherine 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. |
| catherine fosnot math: KS3 Maths Progress Student Book Delta 2 Nick Asker, Jack Barraclough, Sharon Bolger, Lynn Byrd, Andrew Edmondson, Catherine Murphy, 2014-08-27 Highly motivating differentiated Student Books develop confidence, fluency and problem-solving, supporting progression: * Full ability range: Alpha (Access), Pi (Tier 1), Theta (Tier 2) and Delta (Tier 3) * Unit structure based on mastery lessons, formative test, consolidation and extension lessons and a summative unit test * Reflection (metacognition) is explicitly encouraged to build perseverance and confidence * STEM and Finance lessons highlight these important links to using maths in real life * Reasoning and Problem-solving are nurtured in preparation for progressing to GCSE |
| catherine fosnot math: Task Design In Mathematics Education Anne Watson, Minoru Ohtani, 2016-08-23 This book is the product of ICMI Study 22 Task Design in Mathematics Education. The study offers a state-of-the-art summary of relevant research and goes beyond that to develop new insights and new areas of knowledge and study about task design. The authors represent a wide range of countries and cultures and are leading researchers, teachers and designers. In particular, the authors develop explicit understandings of the opportunities and difficulties involved in designing and implementing tasks and of the interfaces between the teaching, researching and designing roles – recognising that these might be undertaken by the same person or by completely separate teams. Tasks generate the activity through which learners meet mathematical concepts, ideas, strategies and learn to use and develop mathematical thinking and modes of enquiry. Teaching includes the selection, modification, design, sequencing, installation, observation and evaluation of tasks. The book illustrates how task design is core to effective teaching, whether the task is a complex, extended, investigation or a small part of a lesson; whether it is part of a curriculum system, such as a textbook, or promotes free standing activity; whether the task comes from published source or is devised by the teacher or the student. |
| catherine 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. |
| catherine fosnot math: Number Sense Routines Jessica F. Shumway, 2023 Jessica Shumway has developed a series of routines designed to help young students internalize and deepen their facility with numbers. The daily use of these quick five-, ten-, or fifteen-minute experiences at the beginning of math class will help build students' number sense. --from publisher description. |
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