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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Vydané v:	Educational studies in mathematics Ročník 79; číslo 3; s. 389 - 408
Hlavní autori:	Selter, Christoph, Prediger, Susanne, Nührenbörger, Marcus, Hußmann, Stephan
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Dordrecht Springer 01.03.2012 Springer Netherlands
Predmet:	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
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