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- W4237306103 abstract "We propose that construction processes involve an alignment of notational structures across representation systems, biasing reasoners toward the selection of formal notations that maintain the visuo-spatial structure of source representations. For example, in the statement “There are five elephants for every three rhinoceroses,” the spatial proximity of “five” and “elephants; and “three” and “rhinoceroses” will bias reasoners to write the incorrect expression 5E = 3R because that expression maintains the spatial relationships encoded in the source representation. In three experiments, participants construct equations with given structure, based on story problems with a variety of phrasings. We demonstrate how the notational alignment approach accounts naturally for a variety of previously reported phenomena in equation construction, and successfully predicts error patterns that are not accounted for by prior explanations such as the “left to right transcription heuristic.”" @default.
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- W4237306103 date "2016-11-15" @default.
- W4237306103 modified "2023-09-29" @default.
- W4237306103 title "Abstract Numeric Relations and the Visual Structure of Algebra" @default.
- W4237306103 doi "https://doi.org/10.31219/osf.io/69rfp" @default.
- W4237306103 hasPublicationYear "2016" @default.
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