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To beat such pedagogical inefficacy, the trendy day U.S. academic doc, Frequent Core State Requirements 9 , proposed six tutorial shifts certainly one of which is named twin depth.” The final two phrases imply that educating arithmetic needs to be oriented in direction of teaching each computational procedures and mathematical ideas that make computations doable 10 The main technique that underpins the twin intensity shift is the usage of visible representations of mathematical procedures and ideas.