Conceptions and Consequences of Mathematical Argumentation, Justification, and Proof

Bieda, Kristen N.; Conner, AnnaMarie; Kosko, Karl W.; Staples, Megan

This book aims to advance ongoing debates in the field of mathematics and mathematics education regarding conceptions of argumentation, justification, and proof and the consequences for research and practice when applying particular conceptions of each construct. Through analyses of classroom practice across grade levels using different lenses - particular conceptions of argumentation, justification, and proof - researchers consider the implications of how each conception shapes empirical outcomes. In each section, organized by grade band, authors adopt particular conceptions of argumentation, justification, and proof, and they analyse one data set from each perspective. In addition, each section includes a synthesis chapter from an expert in the field to bring to the fore potential implications, as well as new questions, raised by the analyses. Finally, a culminating section considers the use of each conception across grade bands and data sets.      

Details

Published by: Springer

Publication Date: 2022-03-04

Format: Hardcover

ISBN-13: 9783030800079

DOI: 10.1007/978-3-030-80008-6

Dimensions: 235.0cm x155.0cm

Pages: 333.0