Teaching and Learning Proof Across the Grades

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Algebra Classrooms
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Category=JNF
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classroom discourse analysis
Classroom Mathematical
Classroom Observer
Collegiate Mathematics
Deductive Proof
deductive reasoning
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geometry instruction
High School Geometry
Instructional Scaffolding
Instructional Situations
Logical Thinking
MAA
Mathematical Arguments
mathematical proof learning progression
mathematics pedagogy
NCTM Standard
Number System
number theory education
Open Number Line
Professional Development
Proof Construction
Proof Scheme
School Mathematics
Semantic Reasoning
Sociomathematical Norms
Student Utterances
Triangle Congruence
Undergraduate Students
Vice Versa
Violated

Product details

  • ISBN 9780415887311
  • Weight: 566g
  • Dimensions: 152 x 229mm
  • Publication Date: 11 Aug 2010
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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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.

Despina A. Stylianou is an Associate Professor of Mathematics Education at the City College of the City University of New York.

Maria L. Blanton is a Senior Executive Research Associate at the James J. Kaput Center for Research and Innovation in Mathematics Education and an Associate Professor of Mathematics Education at the University of Massachusetts, Dartmouth.

Eric J. Knuth is an Associate Professor of Mathematics Education at the University of Wisconsin-Madison.