(a+b)^2 = a^2 +2ab+b^2
It happens at all levels of mathematics with some students, who tend to think (a+b)^2 = a^2 +b^2. That is psychologically understandable but mathematically mistaken. Perhaps, it would be helpful for them to hold a physical (or visual) model for (a+b)^2 and ponder the meaning of the formula. Of course, there are other ways to explain (a+b)^2 = a^2 +2ab+b^2.
The board alone is enough; the component pieces just add another layer of manipulation.
.1 to .2mm
STEAM educator, learning from and working with K-12 STEAM teachers to explore new ideas of teaching and engagement. I firmly believe ART is at the core of STEM learning or all human learning! I owe my ideas and designs to the hundreds of K-12 children and teachers and university professors I have had the pleasure of working with, in multiple disciplines-- math, science,engineering language arts, social studies, early childhood education and more! All mistakes, of course, are mine! There is no warranty or liability whatsoever implied or explicit behind the designs or ideas. They are all posted for their potential educational values.
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