Many educators now believe that algorithms such as long division are simply a series of rote rules that do not involve any “concepts,” so students should invent their own algorithms instead of ...

I closed my recent post, So Long, Long Division, by asking you to either join me in acknowledging that long division is a meaningless math procedure or to share reasons students should learn long ...

With the possible exception of fractions, no elementary math topic or skill stresses students out more than long division does. And it’s so unnecessary--not just the stress, but the skill. Think about ...

Journal for Research in Mathematics Education, Vol. 36, No. 1 (Jan., 2005), pp. 44-73 (30 pages) Students' strategies for solving long division problems under a realistic mathematics approach (RME) at ...

The semiotic perspective may help us understand how natural language, mathematics, and visual representations form a single unified system for meaning-making. Since there are different semiotics ...

With the help of Pascual-Leone's Theory of Constructive Operators, this study investigated the hypothesis that understanding of the long division algorithm requires a higher cognitive level, or ...