Generative AI tools (GenAI) are increasingly used for academic tasks, including qualitative data analysis for the Scholarship of Teaching and Learning (SoTL). In our practice as academic developers, we are frequently asked for advice on whether this use for GenAI is reliable, valid, and ethical. Since this is a new field, we have not been able to…

Historical review of the development and dissemination of ordinary-language algorithms. (STS)

Different methods of subtracting are described; the equal additions and the decomposition methods are discussed in detail. (DT)

Two sequences of activities were developed to provide instruction on the algorithms for addition and subtraction of two-digit numbers. In the integrated sequence (I) the mechanics of "carrying" and "borrowing" were treated as a single process "regrouping." In the sequential treatment (S) the addition algorithm was developed before the subtraction…

Two sequences of activities were developed to provide instruction on the algorithms for addition and subtraction of two-digit numbers. In the integrated sequence (I) the mechanics of "carrying" and "borrowing" were treated as a single process "regrouping." In the sequential treatment (S) the addition algorithm was developed before the subtraction…

A modified method of regrouping the minuend for subtraction is described. This more flexible method decreases the number of steps in the subtraction process and in checking the regrouping. (SD)

Answers and examples are given to sixteen questions related to traditional ways of performing the operations of arithmetic. (MP)