Constituent Structure in Mathematical Expressions
نویسندگان
چکیده
Previous research has suggested that human perception of mathematical expressions is based on syntactic structure. Here, we extend our understanding of how humans perceive algebraic equations in two ways. First, we examined the hypothesis that the internal representation used by experienced mathematicians is based on the phrasal structure of the parse tree. This was tested using a memory recognition task, and the results supported the hypothesis. Second, we explored how much experience with mathematics is necessary before such representations become established. Participants were young students with very little experience with algebra. Surprisingly, the students appeared to encode equations in a manner similar to experienced mathematicians.
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