Taking away and determining the difference—a longitudinal perspective on two models of subtraction and the inverse relation to addition

Subtraction can be understood by two basic models—taking away (ta) and determining the difference (dd)—and by its inverse relation to addition. Epistemological analyses and empirical examples show that the two models are not relevant only in single-digit arithmetic. As curricula should be developed...

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Bibliographic Details
Published in:	Educational studies in mathematics Vol. 79; no. 3; pp. 389 - 408
Main Authors:	Selter, Christoph, Prediger, Susanne, Nührenbörger, Marcus, Hußmann, Stephan
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer 01.03.2012 Springer Netherlands
Subjects:	Addition Algebra Algorithms Analysis Arithmetic Case Studies Children Education Equations (Mathematics) Learning Learning Processes Mathematical Logic Mathematical procedures Mathematical relations Mathematics Mathematics Education Mathematics Instruction Mathematics Skills Mental Computation Modeling Subtraction Arithmetic and algebra Inverse relation Determining the difference Algebraic equations Models of subtraction Standard algorithms Mental arithmetic Negative numbers Taking away
ISSN:	0013-1954, 1573-0816
Online Access:	Get full text
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