Reconceptualizing Mathematics for Elementary School Teachers - Softcover

Reseña del editor

There is today a greater awareness that elementary mathematics is rich in important ideas and that its instruction requires far more than simply knowing the “math facts” and a handful of algorithms. Mathematics courses for teachers must reflect the intellectual depth and challenge of the elementary school curriculum. The Conference Board of Mathematical Sciences (CBMS) recommends that the preparation of mathematics teachers include courses that develop a “deep understanding of the mathematics they teach,” that are designed to “develop careful reasoning and ‘common sense’ in analyzing conceptual relationships, . . . that develop the habits of mind of a mathematical thinker and that demonstrate flexible, interactive styles of teaching” (CBMS, 2000, pp. 7-8).

Judy Sowder, Larry Sowder, and Susan Nickerson recognize and accept the challenge of presenting mathematics to teachers in a manner that addresses these recommendations. In doing so they provide instruction that will lead teachers of mathematics to reconceptualize the mathematics they often think they already know, thus allowing them to develop a deeper understanding of the mathematics they will teach. The authors believe that teachers must know mathematics differently than most people do. Teachers need to know the mathematics they teach in a way that allows them to hold conversations about mathematical ideas and mathematical thinking with their students. A persistent pursuit of explanation is a hallmark of a classroom in which learning is taking place.

A common axiom is that teachers teach the way they were taught. Prospective teachers are unlikely to demonstrate flexible, interactive styles of teaching unless they have experienced mathematics taught this way. Instructors of the Reconceptualizing Mathematics courses, however, may not have experienced such instruction themselves. Thus the authors provide many forms of instructional assistance to help instructors better understand the mathematics their prospective teachers need to know, to begin to model teaching strategies that these prospective teachers will be expected to use in their own classrooms, and to assist them in many ways throughout the course.

Reseña del editor

More and more, prospective elementary teachers are being asked to develop what the Conference Board of Mathematical Sciences (CBMS) calls "the habits of a mathematical thinker." This breakthrough text became the new standard for training future elementary math teachers by doing just that, helping them absorb the ideas underlying essential math concepts, rather than just working problems and memorizing facts. Created from extensive math education research and class-testing, the book's innovative pedagogy, convenient format (three-hole punched, perforated pages, wide margins), and supporting technology make it the ideal text for helping today's students become tomorrow's teachers.

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