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Vedic Multiplication from Alex Bellos and Lapappadolce! Kids create horizontal lines that are parallel to each other to represent the first numeral in the equation. Next, they create parallel vertical lines (perpendicular to their original lines) to represent the other numeral. Then, they dot the lines where they intersect. Finally, they count up their dots and voila - they have their product! Example below:
directed number arithmetic sped up
the rules for combining directed numbers with addition and subtraction are probably too burdensome for memory so some awareness needs to be cultivated, over time some good graphics have been prepared by Shana McKay here and dropbox versions here many thanks to her once some facility with negative number additions and subtractions has been attained, it is desirable to move towards automating (i.e. no need to think too much) these skills this is an important step in the mathematics curriculum…