Additive subtraction and multiplicative division tested.

Introduction

“…Most of the early work on children's understanding of inversion took this form (Bryant, Christie, & Rendu, 1999;Piaget & Moreau, 1977Rasmussen, Ho, & Bisanz, 2003;Siegler & Stern, 1998;Stern, 1992) and it is not at all surprising that some of this research concentrated entirely on inversion as a useful shortcut for children trying to solve arithmetical problems (e.g., Siegler & Stern, 1998). Another example of interest being shown in the procedural use of inversion goes back to the first decades of the twentieth century, when there was a lively discussion among mathematics educators about the advantages and disadvantages of additive subtraction and multiplicative division as compared to the "traditional" computation methods for subtraction and division, both in terms of computational simplicity and learnability (e.g., Knight, Ruch, & Lutes, 1925;Mead & Sears, 1916).…”