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Zeroing in on Number and Operations, Grades 3-4 Key Ideas and Common Misconceptions

Zeroing in on Number and Operations, Grades 3-4 Key Ideas and Common Misconceptions 9781571107954
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 fo a Group Number Lines and Benchmark Fractions Decimals and Their Connections to Fractions Ordering Decimals Appendix Answer Key About the Author(s) 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. Anne Collins has thirty years teaching experience having taught all grade levels K -12. She has been providing mathematics content professional development institutes and courses for teachers for the past ten years.
9781571107954
  • Title:Zeroing in on Number and Operations, Grades 3-4 Key Ideas and Common Misconceptions
  • Author:Linda Dacey and Anne Collins
  • Publishing House:Stenhouse
  • Publication Date:2010
  • ISBN-13:9781571107954
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