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 ...
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WebAnswer (1 of 21): You can treat multiplication by a positive integer as repeated addition, but multiplication by anything else can’t be identified as repeated addition. For example, if you travel 20 miles at a time, and you do that 5 times, then the total travel is 5 … WebJun 19, 2014 · Devlin is wrong. Multiplication starts as repeated addition as vonbrand says. What is going wrong is the conflation of internal multiplication of integers and external scalar multiplication. What would be a good idea would be to separate these clearly in the students' minds. – Andrew Stacey Jun 19, 2014 at 19:38 6 ct bureau of boilers
Rethinking Fractions – Standards Explained
WebJuly-August 2008 It's Still Not Repeated Addition Well, my previous column, It ain't no repeated addition, certainly generated some interest, both in the form of emails directly … WebAug 8, 2011 · See Devlin's Angle where he argues It Ain't No Repeated Addition - unfortunately this is no longer available.] In division the Hindus used to put the dividend … WebTheir puzzlement, they make clear, stems from their understanding that multiplication actually is repeated addition. If ever there were needed a strong argument that … ct building inspector class