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preview onlineZeroing in on Number and Operations, Grades 3-4

Zeroing in on Number and Operations, Grades 3-4

Key Ideas and Common Misconceptions

Linda Dacey and Anne Collins

The Zeroing in on Number and Operations series, which aligns with the Common Core State Standards and the NCTM Standards and Focal Points, features easy-to-use tools for teaching key concepts in number and operations and for addressing common misconceptions.

 

Product Details

  • Author: Linda Dacey and Anne Collins
  • ISBN: 978-157110-795-4
  • Year:2010
  • Media: 68 pp/paper
  • Grade Range: 3-4
  • Item No: WEB-0795

About the Series:

When you talk with students about their number sense and computational skills, you're bound to uncover some surprising gaps in their understanding. Knowing how to identify and bridge those gaps is essential for helping students at all levels advance as mathematical thinkers.

The Zeroing in on Number and Operations series, which aligns with the Common Core State Standards and the NCTM Standards and Focal Points, features easy-to-use tools for teaching key concepts in number and operations and for addressing common misconceptions. Sharing the insights they've gained in decades of mathematics teaching and research, Linda Dacey and Anne Collins help you focus in on what students really need to know and understand at each grade level.

The modules in the grades 3 and 4 flipchart are organized into three sections: Whole Numbers, Addition, and Subtraction; Multiplication and Division; and Fractions and Decimals. Each module begins with the identification of its Mathematical Focus and the Potential Challenges and Misconceptions associated with those ideas. In the Classroom then suggests instructional strategies and specific activities to implement with students. Meeting Individual Needs offers ideas for adjusting the activities to reach a broader range of learners. Each activity is supported by a reproducible (located in the appendix), and References/Further Reading provides resources for enriching your knowledge of the topic and gathering more ideas.

At grades 3 and 4, the authors focus on the key ideas that are essential for success at these levels:

  • Basic facts and algorithms for addition and subtraction
  • Meanings of multiplication and division
  • Basic facts and comuptation strategies for multiplication and division
  • Patterns in our numeration system and number sense that encompass greater numbers (e.g., ten thousands and hundred thousands) as well as tenths and hundredths
  • Commutative, associative, and distributive properties
  • Connections among number models and representations (whole numbers, fractions, and decimals)
  • Meaning of fractions
  • Equivalent fractions
  • Ordering of fractions and decimals

Table of Contents

Click the green link below to view a sample page spread:

Contents
Introduction
I. WHOLE NUMBERS, ADDITION, AND SUBTRACTION Patterns in the Count
Making Sense with Numbers
Connecting Representations of Numbers

In Order
Addition and Subtraction Fact Practice
Open Number Line
Mental Computation
Adding Numbers in the Thousands
Column Addition
Subtracting Numbers in the Thousands
II. MULTIPLICATION AND DIVISION Meaning of Multiplication
Properties of Multiplication
Helping Facts
Multiples of 10, 100, and 1,000
Partial Products
Two-Digit Multipliers
Estimating Sums, Differences, and Products
Meaning of Division
Division Algorithms
Problem Solving with All Operations
Problem Posing
III. FRACTIONS AND DECIMALS
Finding Parts and Making Wholes
Renaming Fractions
Parts of a Group
Number Lines and Benchmark Fractions
Decimals and Their Connections to Fractions
Ordering Decimals
Appendix
Answer Key

About the Authors

Anne Collins
Anne Collins has thirty years of teaching experience having taught all grade levels K-12 including undergraduate and graduate level courses. >more

Linda Dacey
Linda Dacey, professor of mathematics and education at Lesley University, began her career teaching at the elementary level and early in her career, received an NSF grant to develop a model program for preparing middle school teachers. >more

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