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

✍ Scribed by Albert Otto, Sarah Wallus Hancock, Janet Caldwell, Rose Mary Zbiek (editor), Series Editor (editor)

Publisher: National Council of Teachers of Mathematics
Year: 2011
Tongue: English
Leaves: 97
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Move beyond the mathematics you expect your students to learn.

Unpacking the ideas related to multiplication and division is a critical step in developing a deeper understanding. To those without specialized training, may 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 modeled 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.

✦ Table of Contents

TOC
Foreword
Preface
Chapter 1
Chapter 2
Chapter 3
References

📜 SIMILAR VOLUMES

Developing Essential Understanding of Al

📁 Developing Essential Understanding of Algebraic Thinking for Teaching Mathematics in Grades 3-5

✍ Maria Blanton, Linda Levi, Terry Crites, Barbara Dougherty, Rose Mary Zbiek (edi 📂 Library 📅 2011 🏛 National Council of Teachers of Mathematics 🌐 English

Like algebra at any level, early algebra is a way to explore, analyze, represent, and generalize mathematical ideas and relationships. This book shows that children can and do engage in generalizing about numbers and operations as their mathematical experiences expand. The authors identify and

Developing Essential Understanding of Ge

📁 Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 9-12

✍ Nathalie Sinclair, Melanie Skelin, David Pimm, Rose Mary Zbiek (editor), Series 📂 Library 📅 2012 🏛 National Council of Teachers of Mathematics 🌐 English

Why does it matter whether we state definitions carefully when we all know what particular geometric figures look like? What does it mean to say that a reflection is a transformation a function? How does the study of transformations and matrices in high school connect with later work with vect

Developing Essential Understanding of Ge

📁 Developing Essential Understanding of Geometry for Teaching Mathematics in Grades 6-8

✍ Nathalie Sinclair, David Pimm, Melanie Skelin, Rose Mary Zbiek (editor), Series 📂 Library 📅 2012 🏛 National Council of Teachers of Mathematics 🌐 English

Why are there so many formulas for area and volume, and why do some of them look alike? Why does one quadrilateral have no special name while another has several, like square, rectangle, rhombus, and parallelogram and why are all these names useful? How much do you know ... and how much

Making Sense of Mathematics for Teaching

📁 Making Sense of Mathematics for Teaching, Grades 3-5 : (Learn and Teach Concepts and Operations with Depth: How Mathematics Progresses Within and Across Grades)

✍ Juli K. Dixon; Edward C. Nolan 📂 Library 📅 2016 🏛 Solution Tree 🌐 English

Develop a deep understanding of mathematics. This user-friendly resource presents grades 3-5 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Focus on an understanding

Making Sense of Mathematics for Teaching

📁 Making Sense of Mathematics for Teaching Girls in Grades K-5

✍ Thomasenia Lott Adams; Taylar B. Wenzel; Kristopher J. Childs; Samantha R. Neff 📂 Library 📅 2019 🏛 Solution Tree 🌐 English

Close the gender gap in mathematics across K-5 classrooms. In Making Sense of Mathematics for Teaching Girls in Grades K-5, a team of acclaimed experts presents their research and recommendations for teaching math to girls in four succinct, results-focused chapters. Included are a variety of tools,

Mathematics basis for Arithmetic: Additi

📁 Mathematics basis for Arithmetic: Addition, subtraction, multiplication and division and numbers

✍ Winswood Addams 📂 Library 📅 2023 🏛 Pdf notes 🌐 English

This is just a pdf that you may want to have if you just have messed up some arithmetic at a point in your life. This is then a lifesaver. Just get it if you want to have a look if you forgot something or the algorithm of arithmetic operations or numbers. This can be used by anybody but moreover n