Minilessons for Extending Multiplication and Division

Minilessons for Extending Multiplication and Division

Author: Willem Uttenbogaard

Publisher: Firsthand

Published: 2008-03

Total Pages: 0

ISBN-13: 9780325011035

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Minilessons for Extending Multiplication and Division is one of two yearlong resource guides in Contexts for Learning Mathematics' Investigating Multiplication and Division (3 - 5) Minilessons for Extending Multiplication and Division can be helpful in grades 4 - 5 as students work with multiplication and division beyond the basic facts. This guide contains 77 minilessons structured as strings of related computation problems. They are likely to generate discussion of certain strategies or big ideas that are landmarks on the landscape of learning for multiplication and division, particularly using numbers with two and three digits. Although the emphasis is on the development of mental arithmetic strategies, this does not mean learners have to solve the problems in their heads - but it is important for them to do the problems with their heads In other words, as you use this guide, encourage students to examine the numbers in each problem and think about clever, efficient ways to solve it. The relationships between the problems in the minilesson will support students as they progress through the string. The open array is used throughout to represent student strategies. To learn more visit http: //www.contextsforlearning.com


Contexts for Learning Mathematics

Contexts for Learning Mathematics

Author: Catherine Twomey Fosnot

Publisher: Greenwood International

Published: 2007-05

Total Pages:

ISBN-13: 9780325010045

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Contexts for Learning consists of: Investigations and Resource Guides - workshop structure involves students in inquiring, investigating, discussing, and constructing mathematical solutions and strategies - investigations encourage emergent learning and highlight the developmental landmarks in mathematical thinking - strings of related problems develop students' deep number sense and expand their strategies for mental arithmetic Read-Aloud Books and Posters - create rich, imaginable contexts--realistic and fictional--for mathematics investigations - are carefully crafted to support the development of the big ideas, strategies, and models - encourage children to explore and generate patterns, generalize, and develop the ability to mathematize their worlds Resources for Contexts for Learning CD-ROM - author videos describe the series' philosophy and organization - video overviews show classroom footage of a math workshop, including minilessons, investigations, and a math congress - print resources include research base, posters, and templates


Young Mathematicians at Work

Young Mathematicians at Work

Author: Catherine Twomey Fosnot

Publisher: Heinemann Educational Books

Published: 2001

Total Pages: 196

ISBN-13:

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Explains how children between the ages of four and eight construct a deep understanding of numbers and the operations of addition and subtraction.


The T-Shirt Factory

The T-Shirt Factory

Author: Catherine Twomey Fosnot

Publisher: Firsthand Books

Published: 2008-03

Total Pages: 0

ISBN-13: 9780325010120

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"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.


The Double-decker Bus

The Double-decker Bus

Author: Maarten Dolk

Publisher: Greenwood International

Published: 2008

Total Pages: 0

ISBN-13: 9780325010083

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"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.


Number Sense Routines

Number Sense Routines

Author: Jessica F. Shumway

Publisher: Stenhouse Publishers

Published: 2011

Total Pages: 194

ISBN-13: 1571107908

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Just as athletes stretch their muscles before every game and musicians play scales to keep their technique in tune, mathematical thinkers and problem solvers can benefit from daily warm-up exercises. 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. Students with strong number sense understand numbers, ways to represent numbers, relationships among numbers, and number systems. They make reasonable estimates, compute fluently, use reasoning strategies (e.g., relate operations, such as addition and subtraction, to each other), and use visual models based on their number sense to solve problems. Students who never develop strong number sense will struggle with nearly all mathematical strands, from measurement and geometry to data and equations. In Number Sense Routines, Jessica shows that number sense can be taught to all students. Dozens of classroom examples -- including conversations among students engaging in number sense routines -- illustrate how the routines work, how children's number sense develops, and how to implement responsive routines. Additionally, teachers will gain a deeper understanding of the underlying math -- the big ideas, skills, and strategies children learn as they develop numerical literacy.