Number Sense and Operations in the Primary Grades by Alma Ramirez,
Number Sense and Operations in the Primary Grades
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Number Sense and Operations in the Primary Grades

Hard to Teach and Hard to Learn?

One benefit of using cases in mathematics education is that it's easier to stand back and look at someone else's teaching in an objective way. This in turn can open the door to learning how and being willing to analyze our own teaching with a critical eye. In this casebook, Carne Barnett-Clarke and Alma Ramirez of the Mathematics Case Methods Project provide opportunities for teachers to do just that: contribute to and learn from such practice-based materials for grades K-2. In addition, Barnett-Clarke, Ramirez, and colleagues address many of the topics considered the hardest to teach and learn,...

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Full Description

One benefit of using cases in mathematics education is that it's easier to stand back and look at someone else's teaching in an objective way. This in turn can open the door to learning how and being willing to analyze our own teaching with a critical eye. In this casebook, Carne Barnett-Clarke and Alma Ramirez of the Mathematics Case Methods Project provide opportunities for teachers to do just that: contribute to and learn from such practice-based materials for grades K-2. In addition, Barnett-Clarke, Ramirez, and colleagues address many of the topics considered the hardest to teach and learn, including place value, number sentences, basic facts, addition, subtraction, and regrouping.

The authors designed each case to promote analysis of four elements: mathematics, student thinking, instruction, and language—all considered interactively, just the way they occur in teaching practice. The specific goals of the cases are to help us to:

  • deepen our understanding of the mathematics we teach
  • experience the mathematics from our students' points of view to understand what is confusing and why
  • examine various teaching strategies for their benefits and drawbacks
  • understand how oral, symbolic, and written communications impact mathematics learning.
Facilitator's Guide Notes following each case provide discussion leaders with a case synopsis, sample discussion issues, suggested materials, a starter problem, and an analysis of the most vital and provocative points in the case.

Enhance your understanding of the mathematics you teach. Evaluate different ways to provide effective instruction. Do it in a collegial and stimulating environment. Get a new lease on your teaching life—use cases as the basis of discussion and reflection.

Contents

1. You Just Count the Extras
2. Word Problems First, Then Basic Facts
3. Everything in Its Place
4. Trading Games
5. Stop Sign or Equals Sign?
6. Daily Equations
7. Diana
8. Tallies and Coins
9. How Many More?
10. Why Is Subtraction More Difficult?
11. Tina
12. Is Number Sense Enough?
13. Closer to 500 than 400
14. Dollars and Cents Confusions
15. Carry Two or Twenty?
16. How Many Can She Buy?

Samples