In the early 1990s Leslie Steffe proposed the counting scheme children use to assimilate multiplication into their mathematical knowledge. Jere Confrey contrasted the counting scheme with the splitting conjecture. Confrey suggested that counting and splitting are two separate, independent cognitive primitives. This sparked academic discussions in the form of conference presentations, articles and book chapters. WebKeith Devlin wrote a Mathematical Association of America column titled, "It Ain't No Repeated Addition" that followed up on his email exchanges with teachers, after he mentioned the topic briefly in an earlier article. The column linked the academic debates with practitioner debates. It sparked multiple discussions in research and practitioner ...
Touch, Tap, Grasp and Zap: New Ways to Learn Multiplication
Web$\begingroup$ It ain't no repeated addition. $\endgroup$ – Git Gud. Nov 20, 2013 at 23:10 ... The answer you learns at your mother's knee, that it's "repeated addition", is part of the truth. That is one manifestation of multiplication, and should probably be regarded as the most important one. WebJun 1, 2024 · ratios, percentages, decimals and pr oportions, repeated addition is no longer sufficient for na vigating these increasingly complex mathematical ideas (Brown, … fluff and tuff triceratops
Devlin
WebWith those as background (or at least Devlin's first column on this issue, "It Ain't No Repeated Addition," from June 2008), let me try to extend the discussion. Devlin's first column closes with the plea, "In the meantime, teachers, please stop telling your pupils that multiplication is repeated addition." WebThe answer is nothing. It has no units. In this case, the 3.8 is a dimensionless scaling factor. Incidentally, even when the initial length of the band and the scaling factor are positive integers, it makes no sense to view this example as one of repeated addition. WebThis article of Devlin's was quite the firestarter this summer, so much so that he devoted two further responses. It's Still Not Repeated Addition – … fluff and tuff otter