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:
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.
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Alma Ramirez is Codirector of the Mathematics Case Methods Project under the direction of Carne Barnett-Clarke. A former elementary and middle school teacher of bilingual students, Ramirez has authored cases and coauthored a mathematics book to help prepare preschoolers for mathematics in kindergarten and first grade.
Carne Barnett-Clarke is the Director of the Mathematics Case Methods Project at WestEd, a nonprofit educational institution in Oakland, California. A former teacher in Bay Area public schools and teacher educator at the University of California, Berkeley, she is one of the pioneers of using cases as a professional development tool in mathematics education. She coedited Mathematics Teaching Cases: Fractions, Decimals, Ratios & Percents (Heinemann, 1994), a counterpart to this volume for upper elementary and middle school teachers.
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