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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