Don’t know what to think of this rekenprofessor. Click on the link, it’s a printout of a Maple worksheet.
In scholarworks.umt.edu/cgi/viewcontent.cgi?article=1475&context=tme Adrie Treffers presented what he calls a critical examination of Cognitive Load Theory from the perspective of mathematics education in the case of direct instruction versus problem-solving. From the laws of Pólya he takes us to magic squares, and then continues on a problem presented and used by Sweller in an influential paper I myself never read. Sorry.
Magic squares are nice but I never bothered, sorry again. Why they would be of use in math education is another issue. But let’s do something I never did before. I did this after reading Treffer’s reasoning towards the middle 5.
Nice puzzle. But what’s math got to do with it? Maybe a lot, maybe not.
Worrying: Treffer’s paper is a fittie paper in the tradition of www.beteronderwijsnederland.nl/files/vdH-PMerga33.pdf.
His Freudenthal Group is still going strong.