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Zeroing in on Number and Operations Key Ideas and Common Misconceptions Grade 1-2

Zeroing in on Number and Operations Key Ideas and Common Misconceptions Grade 1-2 9781571107978
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 on 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 through decades of mathematics teaching and research, Linda Dacey and Anne Collins help you focus on what students really need to know and understand at each grade level. -------------------------------------------------------------------------------- The modules for grades 1 and 2 are organized into three sections: Counting, Number Sense, and Numeration; Meaning of Addition and Subtraction and Basic Facts; and Building Computational Fluency. Each module begins with the identification of its Mathematical Focus and 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. Most activities are 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 1 and 2, the authors focus in on the key ideas that are essential for success at these levels: •Subitizing, or recognizing sets •Making connections among representations of number •Counting on and back •Understanding that ten is both ten ones and one ten •Recognizing patterns in our numeration system •Understanding multiple meanings of addition and subtraction •Composing and decomposing numbers •Using basic fact strategies and recall •Performing computation strategies for adding and subtracting two-and three-digit numbers Table of Contents Click the green link below to view a sample page spread. Contents Introduction I. COUNTING, NUMBER SENSE, AND NUMERATION Using Number Frames Connecting Representations Pattern of the Count Counting by Tens and Ones Using a Hundreds Chart Missing Numbers of the Hundreds Chart Sensible Number Problems Along the Line Writing Numbers Counting by Twos, Fives, and Tens Equivalent Representations What's My Number? II. MEANING OF ADDITION AND SUBTRACTION AND BASIC FACTS Join and Separate Counting On and Back Facts for Ten Doubles and Near Doubles Subtraction Is More Than Take-Away Anchor to Ten What Do You See? III. BUILDING COMPUTATIONAL FLUENCY Modeling Addition and Subtraction Adding and Subtracting in Parts Open Number Line Building the Standard Addition Algorithm Building the Standard Subtraction Algorithm Equality Solving Problems Posing Problems Estimating Sums and Differences Can You Make It? 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.
9781571107978
  • Title:Zeroing in on Number and Operations Key Ideas and Common Misconceptions
  • Author:Linda Dacey & Anne Collins
  • Publishing House:Stenhouse
  • Publication Date:2010
  • ISBN-13:9781571107978
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