Young Mathematicians at Work: Constructing Number Sense, Addition, and Subtraction

by Catherine Twomey Fosnot

In our efforts to reform mathematics education, we've learned a tremendous amount about young students' strategies and the ways they construct knowledge, without fully understanding how to support such development over time. The Dutch do. So, funded by the NSF and Exxon, Mathematics in the City was begun, a collaborative inservice project that pooled the best thinking from both countries. In Young Mathematicians at Work , Catherine Fosnot and Maarten Dolk reveal what they learned after several years of intensive study in numerous urban classrooms. The first in a three-volume set, Young Mathematicians at Work focuses on young children between the ages of four and eight as they construct a deep understanding of number and the operations of addition and subtraction. Rather than offer unrelated activities, Fosnot and Dolk provide a concerted, unified description of development, with a focus on big ideas, progressive strategies, and emerging models. Drawing from the work of the Dutch mathematician Hans Freudenthal, they define mathematics as "mathematizing"the activity of structuring, modeling, and interpreting one's "lived world" mathematically. And they describe teachers who use rich problematic situations to promote inquiry, problem solving, and construction, and children who raise and pursue their own mathematical ideas. In contrast to other books on math reform, Young Mathematicians at Work provides a new look at the teaching of computation. It moves beyond the current debate about algorithms to argue for deep number sense and the development of a repertoire of strategies based on landmark numbers and operations. Sample minilessons on the use of the open number line model are provided to show you how to support the development of efficient computation.

Genres: Mathematics, Education, Teaching, Professional Development, School

224 pages, Paperback

First published March 30, 2001

About the author

Cathy Fosnot is a leading voice in mathematics education. She is Professor Emerita of Education at the City College of New York and the founder of Mathematics in the City, a national center for professional development located at the college. In 2007 she established New Perspectives on Learning to devote her time to speaking around the world, fostering school change through professional learning and support, and producing new resources and materials.

Reviews

[LB · Rating 5 out of 5]

A must read for any teacher of mathematics!

[Jennifer Brokofsky · Rating 4 out of 5]

Many ah ha moments already and I'm only done chapter 1. Loving it!!:)

[prema · Rating 4 out of 5]

Really informative & important ways to think about basic math skills!!

[Jennifer · Rating 4 out of 5]

Wow! I wish I had been taught math this way.

[Jamie · Rating 4 out of 5]

Second go around with this book. Lots of good info.