Developing Essential Understanding - Multiplication and Division for Teaching Math in Grades 3-5

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9780873536677: Developing Essential Understanding - Multiplication and Division for Teaching Math in Grades 3-5
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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, many of these ideas might appear to be easy to teach. But those who teach in grades 3-5 are aware of their subtleties and complexities.This book identifies and examines two big ideas and related essential understandings for teaching multiplication and division in grades 3-5. Big Idea 1 captures the notion that multiplication is usefully defined as a scalar operation. Problem situations modelled by multiplication have an element that represents the scalar and an element that represents the quantity to which the scalar applies. Big Idea 2 relates to the algorithms that problem solvers have invented - some of which have become "standard" - for multiplying and dividing. The authors examine the ways in which counting, adding and subtracting lead to multiplication and division, as well as the role that these operations play in algebraic expressions and other advanced topics. The book examines challenges in teaching, learning and assessment and is interspersed with questions for teachers' reflection.

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Janet Caldwell, Albert D. Otto, Sarah Wallus Hancock
Publicado por National Council of Teachers of Mathematics,U.S., United States (2011)
ISBN 10: 0873536673 ISBN 13: 9780873536677
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Descripción National Council of Teachers of Mathematics,U.S., United States, 2011. Paperback. Condición: New. Language: N/A. Brand New Book. Unpacking the ideas related to multiplication and division is a critical step in developing a deeper understanding. To those without specialised training, many of these ideas might appear to be easy to teach. But those who teach in grades 3-5 are aware of their subtleties and complexities.This book identifies and examines two big ideas and related essential understandings for teaching multiplication and division in grades 3-5. Big Idea 1 captures the notion that multiplication is usefully defined as a scalar operation. Problem situations modelled by multiplication have an element that represents the scalar and an element that represents the quantity to which the scalar applies. Big Idea 2 relates to the algorithms that problem solvers have invented - some of which have become standard - for multiplying and dividing. The authors examine the ways in which counting, adding and subtracting lead to multiplication and division, as well as the role that these operations play in algebraic expressions and other advanced topics. The book examines challenges in teaching, learning and assessment and is interspersed with questions for teachers reflection. Nº de ref. del artículo: AAN9780873536677

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Albert Otto; Sarah Wallus Hancock; Janet Caldwell; Rose Mary Zbiek [Editor]; Series Editor [Editor];
Publicado por National Council of Teachers of Mathematics (2011)
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Descripción National Council of Teachers of Mathematics, 2011. Paperback. Condición: New. Nº de ref. del artículo: DADAX0873536673

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Janet Caldwell, Albert D. Otto, Sarah Wallus Hancock
Publicado por National Council of Teachers of Mathematics,U.S., United States (2011)
ISBN 10: 0873536673 ISBN 13: 9780873536677
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Descripción National Council of Teachers of Mathematics,U.S., United States, 2011. Paperback. Condición: New. Language: N/A. Brand New Book. Unpacking the ideas related to multiplication and division is a critical step in developing a deeper understanding. To those without specialised training, many of these ideas might appear to be easy to teach. But those who teach in grades 3-5 are aware of their subtleties and complexities.This book identifies and examines two big ideas and related essential understandings for teaching multiplication and division in grades 3-5. Big Idea 1 captures the notion that multiplication is usefully defined as a scalar operation. Problem situations modelled by multiplication have an element that represents the scalar and an element that represents the quantity to which the scalar applies. Big Idea 2 relates to the algorithms that problem solvers have invented - some of which have become standard - for multiplying and dividing. The authors examine the ways in which counting, adding and subtracting lead to multiplication and division, as well as the role that these operations play in algebraic expressions and other advanced topics. The book examines challenges in teaching, learning and assessment and is interspersed with questions for teachers reflection. Nº de ref. del artículo: AAN9780873536677

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Albert Otto; Sarah Wallus Hancock; Janet Caldwell
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Descripción National Council of Teachers of Mathematics, 2011. Condición: New. book. Nº de ref. del artículo: M0873536673

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Janet Caldwell
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Descripción National Council of Teachers of Mathematics,U.S. Paperback. Condición: New. New copy - Usually dispatched within 2 working days. Nº de ref. del artículo: B9780873536677

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Janet Caldwell
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Descripción National Council of Teachers of Mathematics,U.S., 2011. PAP. Condición: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. del artículo: CE-9780873536677

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Descripción National Council of Teachers of Mathematics, 2011. Paperback. Condición: Brand New. first edition. 84 pages. 9.90x7.00x0.30 inches. In Stock. Nº de ref. del artículo: __0873536673

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