E-raamat: Teaching and Learning Proof Across the Grades: A K-16 Perspective

Recent years have seen an increased interest in the nature and role of proof in mathematics education. Forty-four international academics contribute 21 chapters highlighting the main ideas that have recently emerged on proof research, and also defining an agenda for future study. The text evolved from a September 2004 conference held in Providence, Rhode Island, bringing together scholars to begin articulating a connected K-16 "story" of proof. The text opens with an introductory chapter examining the historical roots of the teaching and learning of proof in school mathematics, particularly in the U.S., and some of the questions that are currently central in the field. Subsequent chapters address theoretical considerations, and the teaching and learning of proof at the different levels of schooling: in elementary grades, in middle grades and high school, and in college. For researchers, teacher educators, practitioners, curriculum developers. Annotation ©2009 Book News, Inc., Portland, OR (booknews.com)

A Co-Publication of Routledge for the National Council of Teachers of Mathematics (NCTM)

In recent years there has been increased interest in the nature and role of proof in mathematics education; with many mathematics educators advocating that proof should be a central part of the mathematics education of students at all grade levels. This important new collection provides that much-needed forum for mathematics educators to articulate a connected K-16 "story" of proof. Such a story includes understanding how the forms of proof, including the nature of argumentation and justification as well as what counts as proof, evolve chronologically and cognitively and how curricula and instruction can support the development of students' understanding of proof. Collectively these essays inform educators and researchers at different grade levels about the teaching and learning of proof at each level and, thus, help advance the design of further empirical and theoretical work in this area. By building and extending on existing research and by allowing a variety of voices from the field to be heard, Teaching and Learning Proof Across the Grades not only highlights the main ideas that have recently emerged on proof research, but also defines an agenda for future study.