Putting Essential Understanding of Fractions Into Practice in Grades 3-5

Putting Essential Understanding of Fractions Into Practice in Grades 3-5
Author: Kathryn Bouchard Chval
Publisher:
Total Pages: 148
Release: 2013
Genre: Fractions
ISBN: 9780873537322


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Do your students suppose that 1/3 is greater than 1/2, since 3 is greater than 2? Do they believe that having “halves” means having two, and only two, congruent “pieces” of a whole? What tasks can you offer—what questions can you ask—to determine what your students know or don’t know—and move them forward in their thinking? This book focuses on the specialised pedagogical content knowledge that you need to teach fractions effectively in grades 3–5. The authors demonstrate how to use this multifaceted knowledge to address the big ideas and essential understandings that students must develop for success with fractions—not only in their current work, but also in higher-level mathematics and a myriad of real-world contexts. Explore rich, research-based strategies and tasks that show how students are reasoning about and making sense of fractions. Use the opportunities that these and similar tasks provide to build on their understanding while identifying and correcting misunderstandings that may be keeping them from taking the next steps in learning.


Putting Essential Understanding of Fractions Into Practice in Grades 3-5
Language: en
Pages: 148
Authors: Kathryn Bouchard Chval
Categories: Fractions
Type: BOOK - Published: 2013 - Publisher:

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Do your students suppose that 1/3 is greater than 1/2, since 3 is greater than 2? Do they believe that having “halves” means having two, and only two, congr
Putting Essential Understanding of Multiplication and Division Into Practice in Grades 3-5
Language: en
Pages: 173
Authors: John Lannin
Categories: Division
Type: BOOK - Published: 2013-01-01 - Publisher:

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Do your students believe that division "doesn't make sense" if the divisor is greater than the dividend? Explore rich, researched-based strategies and tasks tha
Putting Essential Understanding of Ratios and Proportions Into Practice in Grades 6-8
Language: en
Pages: 0
Authors: Travis Olson
Categories: Ratio and proportion
Type: BOOK - Published: 2015 - Publisher: National Council of Teachers of English

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Focuses on the specialized pedagogical content knowledge that you need to teach ratios and proportions effectively in grades 6-8. The authors demonstrate how to
Developing Essential Understanding of Rational Numbers for Teaching Mathematics in Grades 3/5
Language: en
Pages: 83
Authors: Carne Barnett-Clarke
Categories: Mathematics
Type: BOOK - Published: 2010 - Publisher: National Council of Teachers of English

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What is the relationship between fractions and rational numbers? Can you explain why the product of two fractions between 0 and 1 is less than either factor? Ho
Developing Essential Understanding of Multiplication and Division for Teaching Mathematics in Grades 3-5
Language: en
Pages: 84
Authors: Albert Dean Otto
Categories: Division
Type: BOOK - Published: 2011 - Publisher: National Council of Teachers of English

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Unpacking"" the ideas related to multiplication and division is a critical step in developing a deeper understanding. To those without specialised training, man